Spiking Neural Networks As Continuous-Time Dynamical Systems: Fundamentals, E...IDES Editor
In this article is presented a very simple and effective
analog spiking neural network simulator, realized with an
event-driven method, taking into account a basic biological
neuron parameter: the spike latency. Also, other fundamentals
biological parameters are considered, such as subthreshold
decay and refractory period. This model allows to synthesize
neural groups able to carry out some substantial functions.
The proposed simulator is applied to elementary structures,
in which some properties and interesting applications are
discussed, such as the realization of a Spiking Neural Network
Classifier.
A STDP RULE THAT FAVOURS CHAOTIC SPIKING OVER REGULAR SPIKING OF NEURONSijaia
We compare the number of states of a Spiking Neural Network (SNN) composed from chaotic spiking
neurons versus the number of states of a SNN composed from regular spiking neurons while both SNNs
implementing a Spike Timing Dependent Plasticity (STDP) rule that we created. We find out that this
STDP rule favors chaotic spiking since the number of states is larger in the chaotic SNN than the regular
SNN. This chaotic favorability is not general; it is exclusive to this STDP rule only. This research falls
under our long-term investigation of STDP and chaos theory.
Artificial neural networks are computational models inspired by the human brain. They are composed of interconnected nodes that process information using a technique called machine learning. This report discusses the basic components of neural networks including neurons, layers, and training methods. It also provides examples of using neural networks to learn and implement simple logic functions like AND, OR, NAND, and NOR gates. The code shows how neural networks can be built and trained in MATLAB to recognize patterns in input data and produce the correct output.
Understanding Deep Learning & Parameter Tuning with MXnet, H2o Package in RManish Saraswat
Simple guide which explains deep learning and neural network with hands on experience in R using MXnet and H2o package. It also explains gradient descent and backpropagation algorithm.
Complete tutorial: http://blog.hackerearth.com/understanding-deep-learning-parameter-tuning-with-mxnet-h2o-package-r
This document provides an introduction to artificial neural networks (ANNs) and compares them to natural neural networks. It discusses how ANNs work by using basic processing units called neurons that are connected and can learn by adapting their connectivity patterns. Like natural neural networks, ANNs transmit information as electrical signals between neurons. The document outlines common activation functions used in ANNs and provides examples of simple neuron models, comparing the McCulloch-Pitts neuron model to real biological neurons. It also discusses capabilities of basic threshold neurons and differences between natural and artificial neural networks.
Artificial neural networks (ANNs) are inspired by biological neural networks and are composed of interconnected processing elements called neurons. ANNs are configured through a learning process to solve problems like pattern recognition or data classification. Early research in the 1940s and 1950s laid the foundations, like McCulloch and Pitts developing the first neural network model and Hebb developing the first learning rule. ANNs use weighted connections and activation functions to learn from examples through training. Feedforward and feedback networks differ in whether signals travel in one or both directions between layers of neurons. Perceptrons were influential early neural network models that could perform tasks linear programs could not.
The document describes using a Hopfield neural network to detect moving objects in videos. The objective is to devise a method to identify differences between frames to detect movements. A Hopfield network is used because it can serve as a content addressable memory. The network consists of neurons corresponding to pixels that are connected to neighboring pixels. Difference frames are obtained and iteratively updated until the network reaches a stable minimum energy state. This allows changed and unchanged pixels to be classified. Applications include video surveillance, people tracking, and traffic monitoring.
- Artificial neural networks are inspired by biological neural networks and try to mimic their learning mechanisms by modifying synaptic strengths through an optimization process.
- Learning in neural networks can be formulated as a function approximation task where the network learns to approximate a function by minimizing an error measure through optimization of synaptic weights.
- A single hidden layer neural network is capable of learning nonlinear function approximations if general optimization methods are applied to update the synaptic weights.
Spiking Neural Networks As Continuous-Time Dynamical Systems: Fundamentals, E...IDES Editor
In this article is presented a very simple and effective
analog spiking neural network simulator, realized with an
event-driven method, taking into account a basic biological
neuron parameter: the spike latency. Also, other fundamentals
biological parameters are considered, such as subthreshold
decay and refractory period. This model allows to synthesize
neural groups able to carry out some substantial functions.
The proposed simulator is applied to elementary structures,
in which some properties and interesting applications are
discussed, such as the realization of a Spiking Neural Network
Classifier.
A STDP RULE THAT FAVOURS CHAOTIC SPIKING OVER REGULAR SPIKING OF NEURONSijaia
We compare the number of states of a Spiking Neural Network (SNN) composed from chaotic spiking
neurons versus the number of states of a SNN composed from regular spiking neurons while both SNNs
implementing a Spike Timing Dependent Plasticity (STDP) rule that we created. We find out that this
STDP rule favors chaotic spiking since the number of states is larger in the chaotic SNN than the regular
SNN. This chaotic favorability is not general; it is exclusive to this STDP rule only. This research falls
under our long-term investigation of STDP and chaos theory.
Artificial neural networks are computational models inspired by the human brain. They are composed of interconnected nodes that process information using a technique called machine learning. This report discusses the basic components of neural networks including neurons, layers, and training methods. It also provides examples of using neural networks to learn and implement simple logic functions like AND, OR, NAND, and NOR gates. The code shows how neural networks can be built and trained in MATLAB to recognize patterns in input data and produce the correct output.
Understanding Deep Learning & Parameter Tuning with MXnet, H2o Package in RManish Saraswat
Simple guide which explains deep learning and neural network with hands on experience in R using MXnet and H2o package. It also explains gradient descent and backpropagation algorithm.
Complete tutorial: http://blog.hackerearth.com/understanding-deep-learning-parameter-tuning-with-mxnet-h2o-package-r
This document provides an introduction to artificial neural networks (ANNs) and compares them to natural neural networks. It discusses how ANNs work by using basic processing units called neurons that are connected and can learn by adapting their connectivity patterns. Like natural neural networks, ANNs transmit information as electrical signals between neurons. The document outlines common activation functions used in ANNs and provides examples of simple neuron models, comparing the McCulloch-Pitts neuron model to real biological neurons. It also discusses capabilities of basic threshold neurons and differences between natural and artificial neural networks.
Artificial neural networks (ANNs) are inspired by biological neural networks and are composed of interconnected processing elements called neurons. ANNs are configured through a learning process to solve problems like pattern recognition or data classification. Early research in the 1940s and 1950s laid the foundations, like McCulloch and Pitts developing the first neural network model and Hebb developing the first learning rule. ANNs use weighted connections and activation functions to learn from examples through training. Feedforward and feedback networks differ in whether signals travel in one or both directions between layers of neurons. Perceptrons were influential early neural network models that could perform tasks linear programs could not.
The document describes using a Hopfield neural network to detect moving objects in videos. The objective is to devise a method to identify differences between frames to detect movements. A Hopfield network is used because it can serve as a content addressable memory. The network consists of neurons corresponding to pixels that are connected to neighboring pixels. Difference frames are obtained and iteratively updated until the network reaches a stable minimum energy state. This allows changed and unchanged pixels to be classified. Applications include video surveillance, people tracking, and traffic monitoring.
- Artificial neural networks are inspired by biological neural networks and try to mimic their learning mechanisms by modifying synaptic strengths through an optimization process.
- Learning in neural networks can be formulated as a function approximation task where the network learns to approximate a function by minimizing an error measure through optimization of synaptic weights.
- A single hidden layer neural network is capable of learning nonlinear function approximations if general optimization methods are applied to update the synaptic weights.
This document discusses recurrent neural networks (RNNs) and some of their applications and design patterns. RNNs are able to process sequential data like text or time series due to their ability to maintain an internal state that captures information about what has been observed in the past. The key challenges with training RNNs are vanishing and exploding gradients, which various techniques like LSTMs and GRUs aim to address. RNNs have been successfully applied to tasks involving sequential input and/or output like machine translation, image captioning, and language modeling. Memory networks extend RNNs with an external memory component that can be explicitly written to and retrieved from.
This document describes constructing a Monte Carlo model of a multi-population neural network to compare with mean field and population density methods. It summarizes modeling neural activity across populations with different physiological characteristics. Simulation results show the Monte Carlo method can accurately model population interactions and parameter variations, making it suitable for testing population density methods. The document concludes additional physiological variables should be included in future simulations.
The document discusses artificial neural networks and their application to cryptography. It begins by explaining that artificial neural networks are designed to model the way the brain performs tasks in a massively parallel manner. It then provides details on the basic structure of artificial neural networks, including processing units, weighted connections, and learning rules. The document next discusses using artificial neural networks for cryptography, including implementing a sequential machine with a Jordan network for encryption/decryption and using a chaotic neural network to encrypt digital signals in a secure manner. It concludes that artificial neural networks provide a novel approach for encrypting and decrypting data.
The document discusses neural networks and their biological inspiration. It defines an artificial neural network as an information processing system modeled after the human brain. Neural networks can extract patterns from complex data, operate in parallel, and learn from experience. The document then covers biological neurons, characteristics of neural networks, popular neural network models, learning rules, and different types of learning.
This document discusses neural networks and how they are used to solve classification problems. It covers the basics of multilayer perceptrons, how the weights are learned using an error-based learning rule called steepest descent, and how adding hidden layers allows neural networks to solve problems that single-layer perceptrons cannot, such as the XOR problem. It also discusses how the thresholds of units are treated as additional weights that are learned during training.
Dr. kiani artificial neural network lecture 1Parinaz Faraji
The document provides a history of neural networks, beginning with McCulloch and Pitts creating the first neural network model in 1943. It then discusses several important developments in neural networks including perceptrons in the 1950s and 1960s, backpropagation in the 1980s, and neural networks being implemented in semiconductors in the late 1980s. The document also includes diagrams and explanations of biological neurons, artificial neurons, different types of activation functions, and key aspects of neural network architectures.
Artificial neural networks (ANNs) are modeled after the human brain and are useful for problems involving vision, speech recognition, and other tasks brains are good at. They consist of interconnected nodes that receive and process input signals to produce an output. While ANNs have been studied since the 1940s, the development of the backpropagation algorithm in 1986 allowed networks with many layers, or "deep" networks, to be trained effectively, leading to recent advances in deep learning.
Cryptography using artificial neural networkMahira Banu
This document proposes using artificial neural networks for cryptography. It describes using a backpropagation neural network for decryption, where the network is trained on encrypted-decrypted message pairs. Boolean algebra is used for encryption, permuting messages and "doping" with additional bits. The neural network can then be used as a public key for decryption, with a private key for encryption. Simulation results showed the neural network approach weakened key guessing compared to other methods.
This presentation on Recurrent Neural Network will help you understand what is a neural network, what are the popular neural networks, why we need recurrent neural network, what is a recurrent neural network, how does a RNN work, what is vanishing and exploding gradient problem, what is LSTM and you will also see a use case implementation of LSTM (Long short term memory). Neural networks used in Deep Learning consists of different layers connected to each other and work on the structure and functions of the human brain. It learns from huge volumes of data and used complex algorithms to train a neural net. The recurrent neural network works on the principle of saving the output of a layer and feeding this back to the input in order to predict the output of the layer. Now lets deep dive into this presentation and understand what is RNN and how does it actually work.
Below topics are explained in this recurrent neural networks tutorial:
1. What is a neural network?
2. Popular neural networks?
3. Why recurrent neural network?
4. What is a recurrent neural network?
5. How does an RNN work?
6. Vanishing and exploding gradient problem
7. Long short term memory (LSTM)
8. Use case implementation of LSTM
Simplilearn’s Deep Learning course will transform you into an expert in deep learning techniques using TensorFlow, the open-source software library designed to conduct machine learning & deep neural network research. With our deep learning course, you'll master deep learning and TensorFlow concepts, learn to implement algorithms, build artificial neural networks and traverse layers of data abstraction to understand the power of data and prepare you for your new role as deep learning scientist.
Why Deep Learning?
It is one of the most popular software platforms used for deep learning and contains powerful tools to help you build and implement artificial neural networks.
Advancements in deep learning are being seen in smartphone applications, creating efficiencies in the power grid, driving advancements in healthcare, improving agricultural yields, and helping us find solutions to climate change. With this Tensorflow course, you’ll build expertise in deep learning models, learn to operate TensorFlow to manage neural networks and interpret the results.
And according to payscale.com, the median salary for engineers with deep learning skills tops $120,000 per year.
You can gain in-depth knowledge of Deep Learning by taking our Deep Learning certification training course. With Simplilearn’s Deep Learning course, you will prepare for a career as a Deep Learning engineer as you master concepts and techniques including supervised and unsupervised learning, mathematical and heuristic aspects, and hands-on modeling to develop algorithms. Those who complete the course will be able to:
Learn more at: https://www.simplilearn.com/
1. Feed-forward neural networks are composed of nodes connected in a directed graph without feedback loops. Information flows from input to output nodes through one or more hidden layers.
2. Each node receives weighted input signals, calculates a weighted sum, and applies an activation function to determine its output. During training, weights are adjusted to minimize error between network outputs and desired targets.
3. Self-organizing maps are neural networks that use unsupervised learning to produce a low-dimensional representation of input patterns. They cluster multidimensional data onto a two-dimensional map based on topological similarity.
Quantum brain a recurrent quantum neural network model to describe eye trac...Elsa von Licy
This document proposes a theoretical quantum brain model called a Recurrent Quantum Neural Network (RQNN) to describe eye movements when tracking moving targets. The model suggests that a quantum process in the brain mediates the collective response of neurons. When simulating the model, two phenomena are observed: 1) as eye sensor data is processed, a wave packet is triggered in the quantum brain that moves like a particle, and 2) when tracking a fixed target, this wave packet moves discretely rather than continuously, resembling saccadic eye movements. The model precisely predicts eye movements, performing better than classical models like the Kalman filter.
Artificial Neural Networks Lect2: Neurobiology & Architectures of ANNSMohammed Bennamoun
This document discusses the structure and function of biological neurons and artificial neural networks (ANNs). It covers topics such as:
- The basic components of biological neurons including the cell body, dendrites, axon, and synapses.
- Models of artificial neurons including linear and nonlinear activation functions.
- Different types of neural network architectures including feedforward, recurrent, and feedback networks.
- Training algorithms for ANNs including supervised and unsupervised learning methods. Weights are modified to minimize error between network outputs and training targets.
The document provides an overview of artificial neural networks (ANNs). It discusses the history of ANNs, how they work by mimicking biological neurons, different learning paradigms like supervised and unsupervised learning, and applications. Key points include: ANNs consist of interconnected artificial neurons that receive inputs, change their activation based on weights, and send outputs; backpropagation is used for supervised learning to minimize errors by adjusting weights from the output layer backwards; ANNs can be used for problems like pattern recognition, prediction, and data processing.
This study analyzed spike train data recorded from neurons in the dorsolateral prefrontal cortex (DLPFC) of a monkey performing a working memory task. Spike train distance metrics were applied to quantify how information about the task was encoded temporally. Optimal parameters were identified for single-unit and multi-unit analyses. Information encoding was found to vary across time intervals of the task, with some neuron pairs showing higher information at different times. Visualizations using t-SNE helped demonstrate that target location could be decoded from spike train distances. The study helps quantify temporal encoding in the DLPFC during working memory tasks.
Hardware Implementation of Spiking Neural Network (SNN)supratikmondal6
This project work was carried out under the supervision of Dr. Gaurav Trivedi (IIT Guwahati, Electrical Engineering) and under the mentorship of Mr. Ashvinikumar Pruthviraj Dongre (IIT Guwahati, PhD Scholar). In this project we have tried to implement the SNN for image classification in FPGA by
developing an efficient and realistic architecture and also by incorporating a technique of weight change according to
Step-Wise STDP learning curve.
Echo state networks and locomotion patternsVito Strano
1) The document discusses using echo state networks (ESNs) to model locomotion patterns of a legged robot. ESNs are a type of recurrent neural network that can model nonlinear dynamical systems in real-time.
2) The ESN is trained to take in ground contact sensor signals and output the average velocity profile of the robot. Locomotion patterns from a dynamic simulator are used as the training input and output data.
3) Results show that increasing the number of hidden neurons and time constant allows the ESN to better match the average speed of the teacher data, while a smaller spectral radius and feedback lead to better performance.
A Threshold Logic Unit (TLU) is a mathematical function conceived as a crude model, or abstraction of biological neurons. Threshold logic units are the constitutive units in an artificial neural network. In this paper a positive clock-edge triggered T flip-flop is designed using Perceptron Learning Algorithm, which is a basic design algorithm of threshold logic units. Then this T flip-flop is used to design a two-bit up-counter that goes through the states 0, 1, 2, 3, 0, 1… Ultimately, the goal is to show how to design simple logic units based on threshold logic based perceptron concepts.
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This document discusses recurrent neural networks (RNNs) and some of their applications and design patterns. RNNs are able to process sequential data like text or time series due to their ability to maintain an internal state that captures information about what has been observed in the past. The key challenges with training RNNs are vanishing and exploding gradients, which various techniques like LSTMs and GRUs aim to address. RNNs have been successfully applied to tasks involving sequential input and/or output like machine translation, image captioning, and language modeling. Memory networks extend RNNs with an external memory component that can be explicitly written to and retrieved from.
This document describes constructing a Monte Carlo model of a multi-population neural network to compare with mean field and population density methods. It summarizes modeling neural activity across populations with different physiological characteristics. Simulation results show the Monte Carlo method can accurately model population interactions and parameter variations, making it suitable for testing population density methods. The document concludes additional physiological variables should be included in future simulations.
The document discusses artificial neural networks and their application to cryptography. It begins by explaining that artificial neural networks are designed to model the way the brain performs tasks in a massively parallel manner. It then provides details on the basic structure of artificial neural networks, including processing units, weighted connections, and learning rules. The document next discusses using artificial neural networks for cryptography, including implementing a sequential machine with a Jordan network for encryption/decryption and using a chaotic neural network to encrypt digital signals in a secure manner. It concludes that artificial neural networks provide a novel approach for encrypting and decrypting data.
The document discusses neural networks and their biological inspiration. It defines an artificial neural network as an information processing system modeled after the human brain. Neural networks can extract patterns from complex data, operate in parallel, and learn from experience. The document then covers biological neurons, characteristics of neural networks, popular neural network models, learning rules, and different types of learning.
This document discusses neural networks and how they are used to solve classification problems. It covers the basics of multilayer perceptrons, how the weights are learned using an error-based learning rule called steepest descent, and how adding hidden layers allows neural networks to solve problems that single-layer perceptrons cannot, such as the XOR problem. It also discusses how the thresholds of units are treated as additional weights that are learned during training.
Dr. kiani artificial neural network lecture 1Parinaz Faraji
The document provides a history of neural networks, beginning with McCulloch and Pitts creating the first neural network model in 1943. It then discusses several important developments in neural networks including perceptrons in the 1950s and 1960s, backpropagation in the 1980s, and neural networks being implemented in semiconductors in the late 1980s. The document also includes diagrams and explanations of biological neurons, artificial neurons, different types of activation functions, and key aspects of neural network architectures.
Artificial neural networks (ANNs) are modeled after the human brain and are useful for problems involving vision, speech recognition, and other tasks brains are good at. They consist of interconnected nodes that receive and process input signals to produce an output. While ANNs have been studied since the 1940s, the development of the backpropagation algorithm in 1986 allowed networks with many layers, or "deep" networks, to be trained effectively, leading to recent advances in deep learning.
Cryptography using artificial neural networkMahira Banu
This document proposes using artificial neural networks for cryptography. It describes using a backpropagation neural network for decryption, where the network is trained on encrypted-decrypted message pairs. Boolean algebra is used for encryption, permuting messages and "doping" with additional bits. The neural network can then be used as a public key for decryption, with a private key for encryption. Simulation results showed the neural network approach weakened key guessing compared to other methods.
This presentation on Recurrent Neural Network will help you understand what is a neural network, what are the popular neural networks, why we need recurrent neural network, what is a recurrent neural network, how does a RNN work, what is vanishing and exploding gradient problem, what is LSTM and you will also see a use case implementation of LSTM (Long short term memory). Neural networks used in Deep Learning consists of different layers connected to each other and work on the structure and functions of the human brain. It learns from huge volumes of data and used complex algorithms to train a neural net. The recurrent neural network works on the principle of saving the output of a layer and feeding this back to the input in order to predict the output of the layer. Now lets deep dive into this presentation and understand what is RNN and how does it actually work.
Below topics are explained in this recurrent neural networks tutorial:
1. What is a neural network?
2. Popular neural networks?
3. Why recurrent neural network?
4. What is a recurrent neural network?
5. How does an RNN work?
6. Vanishing and exploding gradient problem
7. Long short term memory (LSTM)
8. Use case implementation of LSTM
Simplilearn’s Deep Learning course will transform you into an expert in deep learning techniques using TensorFlow, the open-source software library designed to conduct machine learning & deep neural network research. With our deep learning course, you'll master deep learning and TensorFlow concepts, learn to implement algorithms, build artificial neural networks and traverse layers of data abstraction to understand the power of data and prepare you for your new role as deep learning scientist.
Why Deep Learning?
It is one of the most popular software platforms used for deep learning and contains powerful tools to help you build and implement artificial neural networks.
Advancements in deep learning are being seen in smartphone applications, creating efficiencies in the power grid, driving advancements in healthcare, improving agricultural yields, and helping us find solutions to climate change. With this Tensorflow course, you’ll build expertise in deep learning models, learn to operate TensorFlow to manage neural networks and interpret the results.
And according to payscale.com, the median salary for engineers with deep learning skills tops $120,000 per year.
You can gain in-depth knowledge of Deep Learning by taking our Deep Learning certification training course. With Simplilearn’s Deep Learning course, you will prepare for a career as a Deep Learning engineer as you master concepts and techniques including supervised and unsupervised learning, mathematical and heuristic aspects, and hands-on modeling to develop algorithms. Those who complete the course will be able to:
Learn more at: https://www.simplilearn.com/
1. Feed-forward neural networks are composed of nodes connected in a directed graph without feedback loops. Information flows from input to output nodes through one or more hidden layers.
2. Each node receives weighted input signals, calculates a weighted sum, and applies an activation function to determine its output. During training, weights are adjusted to minimize error between network outputs and desired targets.
3. Self-organizing maps are neural networks that use unsupervised learning to produce a low-dimensional representation of input patterns. They cluster multidimensional data onto a two-dimensional map based on topological similarity.
Quantum brain a recurrent quantum neural network model to describe eye trac...Elsa von Licy
This document proposes a theoretical quantum brain model called a Recurrent Quantum Neural Network (RQNN) to describe eye movements when tracking moving targets. The model suggests that a quantum process in the brain mediates the collective response of neurons. When simulating the model, two phenomena are observed: 1) as eye sensor data is processed, a wave packet is triggered in the quantum brain that moves like a particle, and 2) when tracking a fixed target, this wave packet moves discretely rather than continuously, resembling saccadic eye movements. The model precisely predicts eye movements, performing better than classical models like the Kalman filter.
Artificial Neural Networks Lect2: Neurobiology & Architectures of ANNSMohammed Bennamoun
This document discusses the structure and function of biological neurons and artificial neural networks (ANNs). It covers topics such as:
- The basic components of biological neurons including the cell body, dendrites, axon, and synapses.
- Models of artificial neurons including linear and nonlinear activation functions.
- Different types of neural network architectures including feedforward, recurrent, and feedback networks.
- Training algorithms for ANNs including supervised and unsupervised learning methods. Weights are modified to minimize error between network outputs and training targets.
The document provides an overview of artificial neural networks (ANNs). It discusses the history of ANNs, how they work by mimicking biological neurons, different learning paradigms like supervised and unsupervised learning, and applications. Key points include: ANNs consist of interconnected artificial neurons that receive inputs, change their activation based on weights, and send outputs; backpropagation is used for supervised learning to minimize errors by adjusting weights from the output layer backwards; ANNs can be used for problems like pattern recognition, prediction, and data processing.
This study analyzed spike train data recorded from neurons in the dorsolateral prefrontal cortex (DLPFC) of a monkey performing a working memory task. Spike train distance metrics were applied to quantify how information about the task was encoded temporally. Optimal parameters were identified for single-unit and multi-unit analyses. Information encoding was found to vary across time intervals of the task, with some neuron pairs showing higher information at different times. Visualizations using t-SNE helped demonstrate that target location could be decoded from spike train distances. The study helps quantify temporal encoding in the DLPFC during working memory tasks.
Hardware Implementation of Spiking Neural Network (SNN)supratikmondal6
This project work was carried out under the supervision of Dr. Gaurav Trivedi (IIT Guwahati, Electrical Engineering) and under the mentorship of Mr. Ashvinikumar Pruthviraj Dongre (IIT Guwahati, PhD Scholar). In this project we have tried to implement the SNN for image classification in FPGA by
developing an efficient and realistic architecture and also by incorporating a technique of weight change according to
Step-Wise STDP learning curve.
Echo state networks and locomotion patternsVito Strano
1) The document discusses using echo state networks (ESNs) to model locomotion patterns of a legged robot. ESNs are a type of recurrent neural network that can model nonlinear dynamical systems in real-time.
2) The ESN is trained to take in ground contact sensor signals and output the average velocity profile of the robot. Locomotion patterns from a dynamic simulator are used as the training input and output data.
3) Results show that increasing the number of hidden neurons and time constant allows the ESN to better match the average speed of the teacher data, while a smaller spectral radius and feedback lead to better performance.
A Threshold Logic Unit (TLU) is a mathematical function conceived as a crude model, or abstraction of biological neurons. Threshold logic units are the constitutive units in an artificial neural network. In this paper a positive clock-edge triggered T flip-flop is designed using Perceptron Learning Algorithm, which is a basic design algorithm of threshold logic units. Then this T flip-flop is used to design a two-bit up-counter that goes through the states 0, 1, 2, 3, 0, 1… Ultimately, the goal is to show how to design simple logic units based on threshold logic based perceptron concepts.
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Secured transmission through multi layer perceptron in wireless communication...ijmnct
In this paper, a multilayer perceptron guided encryption/decryption (STMLP) in wireless communication
has been proposed for exchange of data/information. Multilayer perceptron transmitting systems at both
ends generate an identical output bit and the network are trained based on the output which is used to
synchronize the network at both ends and thus forms a secret-key at end of synchronizations of the
networks. Weights or hidden units of the hidden layer help to form a secret session key. The plain text is
encrypted through chaining , cascaded xoring of multilayer perceptron generated session key. If size of the
final block of plain text is less than the size of the key then this block is kept unaltered. Receiver will use
identical multilayer perceptron generated session key for performing deciphering process for getting the
plain text. Parametric tests have been done and results are compared in terms of Chi-Square test, response
time in transmission with some existing classical techniques, which shows comparable results for the
proposed technique. Variation numbers of input vectors and hidden layers will increase the confusion
/diffusion of the schemeand hence increase the security. As a result variable energy based techniques may
be achieved which may be applicable devices/interface of the heterogeneous sizes of the network/device.
Multilayer Perceptron Guided Key Generation through Mutation with Recursive R...pijans
In this paper, a multilayer perceptron guided key generation for encryption/decryption (MLPKG) has been
proposed through recursive replacement using mutated character code generation for wireless
communication of data/information. Multilayer perceptron transmitting systems at both ends accept an
identical input vector, generate an output bit and the network are trained based on the output bit which is
used to form a protected variable length secret-key. For each session, different hidden layer of multilayer
neural network is selected randomly and weights or hidden units of this selected hidden layer help to form
a secret session key. The plain text is encrypted using mutated character code table. Intermediate cipher
text is yet again encrypted through recursive replacement technique to from next intermediate encrypted
text which is again encrypted to form the final cipher text through chaining , cascaded xoring of multilayer
perceptron generated session key. If size of the final block of intermediate cipher text is less than the size of
the key then this block is kept unaltered. Receiver will use identical multilayer perceptron generated
session key for performing deciphering process for getting the recursive replacement encrypted cipher text
and then mutated character code table is used for decoding. Parametric tests have been done and results
are compared in terms of Chi-Square test, response time in transmission with some existing classical
techniques, which shows comparable results for the proposed technique.
This document provides an overview of neural networks. It discusses how neural networks were inspired by biological neural systems and attempt to model their massive parallelism and distributed representations. It covers the perceptron algorithm for learning basic neural networks and the development of backpropagation for learning in multi-layer networks. The document discusses concepts like hidden units, representational power of neural networks, and successful applications of neural networks.
International Journal of Engineering Research and Development (IJERD)IJERD Editor
This document compares self-organizing feature maps (SOFM) with k-means clustering and artificial neural networks for pattern recognition and feature map creation. SOFM uses competitive learning to organize input vectors into clusters without supervision, mapping similar inputs close together on the map. K-means aims to partition inputs into a predefined number of clusters by minimizing within-cluster variation. Artificial neural networks implement classification in three phases - self-organizing feature map learning, followed by supervised learning phases. The document discusses algorithms, architectures, and training approaches for each method.
A Novel Single-Trial Analysis Scheme for Characterizing the Presaccadic Brain...konmpoz
The document presents a novel single-trial analysis scheme to characterize presaccadic brain activity based on self-organizing neural networks. EEG data from eye movement experiments was used to group saccades by velocity. Functional connectivity graphs identified variations in information exchange between brain regions for different velocity groups. Fast saccades showed earlier peaks and higher efficiency in specific brain regions compared to slower saccades. The approach provides a way to model brain self-organization during cognitive tasks using single-trial variability analyzed with network methods.
JAISTサマースクール2016「脳を知るための理論」講義04 Neural Networks and Neuroscience hirokazutanaka
This document summarizes key concepts from a lecture on neural networks and neuroscience:
- Single-layer neural networks like perceptrons can only learn linearly separable patterns, while multi-layer networks can approximate any function. Backpropagation enables training multi-layer networks.
- Recurrent neural networks incorporate memory through recurrent connections between units. Backpropagation through time extends backpropagation to train recurrent networks.
- The cerebellum functions similarly to a perceptron for motor learning and control. Its feedforward circuitry from mossy fibers to Purkinje cells maps to the layers of a perceptron.
The document provides an overview of artificial neural networks and supervised learning techniques. It discusses the biological inspiration for neural networks from neurons in the brain. Single-layer perceptrons and multilayer backpropagation networks are described for classification tasks. Methods to accelerate learning such as momentum and adaptive learning rates are also summarized. Finally, it briefly introduces recurrent neural networks like the Hopfield network for associative memory applications.
Neuromorphic Computing indicates a broad area of research that aims at achieving means of physical information processing that are inspired by biological brains. As such, this kind of systems is envisaged as being the ideal approach for implementing artificial neural networks concepts. With the rapid pace of development in Deep Learning, the synergy between the development of neuromorphic hardware and neural network concepts is fundamental to obtain intelligent systems that can exploit the full potential of learning efficiently.
This talk aims at giving a broad overview of the possibilities of such synergy. First, we will quickly explore the fundamental differences between neuromorphic and traditional computing, and then we will focus on concepts, algorithms, and neural architectures that are prone to neuromorphic implementation.
This document describes self-organizing maps and adaptive resonance theory neural networks. It discusses how self-organizing maps use competitive learning and weight adjustment to have neurons represent different input classes. Adaptive resonance theory networks combine self-organizing maps with associative (outstar) networks so the input layer finds the most similar stored pattern and the output layer recalls the full pattern. The adaptive resonance algorithm compares input and output patterns using an AND operation and vigilance threshold to determine if the weight adjustments should be made or if a new neuron is needed to represent the input.
The document discusses using neural networks to solve the traveling salesman problem (TSP). It describes Hopfield neural networks and how they can be used for optimization problems like TSP. It then discusses a concurrent neural network approach that requires fewer neurons (N(logN)) than Hopfield for TSP. The document compares the performance of concurrent neural networks to Hopfield networks and self-organizing maps on TSP test cases, finding concurrent networks converge faster but are less reliable than self-organizing maps.
Topologically adaptable snakes, or simply T-snakes, are
a standard tool for automatically identifying multiple segments
in an image. This work introduces a novel approach
for controlling the topology of a T-snake. It focuses on the
loops formed by the so-called projected curve which is obtained
at every stage of the snake evolution. The idea is to
make that curve the image of a piecewise linear mapping
of an adequate class. Then, with the help of an additional
structure—the Loop-Tree—it is possible to decide in O(1)
time whether the region enclosed by each loop has already
been explored by the snake. This makes it possible to construct
an enhanced algorithm for evolving T-snakes whose
performance is assessed by means of statistics and examples.
Hybrid PSO-SA algorithm for training a Neural Network for ClassificationIJCSEA Journal
In this work, we propose a Hybrid particle swarm optimization-Simulated annealing algorithm and present a comparison with i) Simulated annealing algorithm and ii) Back propagation algorithm for training neural networks. These neural networks were then tested on a classification task. In particle swarm optimization behaviour of a particle is influenced by the experiential knowledge of the particle as well as socially exchanged information. Particle swarm optimization follows a parallel search strategy. In simulated annealing uphill moves are made in the search space in a stochastic fashion in addition to the downhill moves. Simulated annealing therefore has better scope of escaping local minima and reach a global minimum in the search space. Thus simulated annealing gives a selective randomness to the search. Back propagation algorithm uses gradient descent approach search for minimizing the error. Our goal of global minima in the task being done here is to come to lowest energy state, where energy state is being modelled as the sum of the squares of the error between the target and observed output values for all the training samples. We compared the performance of the neural networks of identical architectures trained by the i) Hybrid particle swarm optimization-simulated annealing, ii) Simulated annealing and iii) Back propagation algorithms respectively on a classification task and noted the results obtained. Neural network trained by Hybrid particle swarm optimization-simulated annealing has given better results compared to the neural networks trained by the Simulated annealing and Back propagation algorithms in the tests conducted by us.
Multilayer Backpropagation Neural Networks for Implementation of Logic GatesIJCSES Journal
ANN is a computational model that is composed of several processing elements (neurons) that tries to solve a specific problem. Like the human brain, it provides the ability to learn
from experiences without being explicitly programmed. This article is based on the implementation of artificial neural networks for logic gates. At first, the 3 layers Artificial Neural Network is
designed with 2 input neurons, 2 hidden neurons & 1 output neuron. after that model is trained
by using a backpropagation algorithm until the model satisfies the predefined error criteria (e)
which set 0.01 in this experiment. The learning rate (α) used for this experiment was 0.01. The
NN model produces correct output at iteration (p)= 20000 for AND, NAND & NOR gate. For
OR & XOR the correct output is predicted at iteration (p)=15000 & 80000 respectively
This document provides an overview of neural networks. It discusses how the human brain works and how artificial neural networks are modeled after the human brain. The key components of a neural network are neurons which are connected and can be trained. Neural networks can perform tasks like pattern recognition through a learning process that adjusts the connections between neurons. The document outlines different types of neural network architectures and training methods, such as backpropagation, to configure neural networks for specific applications.
This Document contains basic knowledge about Newtons Laws Of Motion with its application in real world.
It Also contains some of the examples and its working.
This document describes the design and working of a low-cost metal detector circuit. It uses a Colpitts oscillator circuit with resistors, capacitors, transistors, diodes, an LED, coil, buzzer and battery. When the coil is brought near a metal object, it absorbs magnetic energy and causes the oscillator frequency to change. This triggers the final transistor to conduct, activating the buzzer and LED to indicate metal detection. The metal detector can be used to detect metallic objects for applications like food safety inspection and security systems.
We have selected to write a program to create a shop billing program which will allow user to input item details such as name, price, quantity, vat etc . And allow further entry of details by user to calculate the total cost. The Last Output will be shown as a bill. You Can see your previous purchases etc.
Hydrogen is the first element with one electron. It resembles alkali metals and halogens due to its ability to gain or lose electrons. Hydrogen forms covalent, ionic, and interstitial compounds called hydrides with other elements. Water has many unique properties due to hydrogen bonding between molecules. Hard water contains calcium and magnesium ions that can be removed by boiling, using limewater, or sodium carbonate to produce soft water suitable for household use.
Blue bottle (Specially For School Demonstration)Atit Gaonkar
The blue bottle reaction is a chemical reaction in which in a closed bottle an aqueous solution containing glucose, sodium hydroxide and a methylene blue and some air turns from colorless to blue upon shaking and which then decolorises again after a while. After shaking again the blue color returns and this cycle can be repeated several times.
Two parallel current-carrying wires experience magnetic forces on each other due to their currents. The force is directly proportional to the product of the currents and inversely proportional to the distance between the wires. If the currents flow in the same direction, the wires attract each other. If the currents flow in opposite directions, the wires repel each other. The standard ampere can be defined based on this relationship, with 1 ampere producing a force of 2*10^-7 N/m between two parallel 1m long wires.
This document discusses key concepts related to waves and the Doppler effect. It defines waves, beat frequency, diffraction and the Doppler effect. It then provides the equations to calculate the observed frequency when the source is moving towards the observer, and when the observer is moving towards a stationary source. The Doppler effect has applications in areas like traffic control, aviation, astrophysics and medicine.
Transformers (Especially For 12th Std)Atit Gaonkar
It Is The One Which Will Help A Student To Recall or Study about Transformer.
The Principle, Constructions, Working, Ideal Transformer, Leakages, Efficiency, Cores, Related Solved Problems. etc. are readily available in this power-point.
This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
A Visual Guide to 1 Samuel | A Tale of Two HeartsSteve Thomason
These slides walk through the story of 1 Samuel. Samuel is the last judge of Israel. The people reject God and want a king. Saul is anointed as the first king, but he is not a good king. David, the shepherd boy is anointed and Saul is envious of him. David shows honor while Saul continues to self destruct.
CapTechTalks Webinar Slides June 2024 Donovan Wright.pptxCapitolTechU
Slides from a Capitol Technology University webinar held June 20, 2024. The webinar featured Dr. Donovan Wright, presenting on the Department of Defense Digital Transformation.
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إضغ بين إيديكم من أقوى الملازم التي صممتها
ملزمة تشريح الجهاز الهيكلي (نظري 3)
💀💀💀💀💀💀💀💀💀💀
تتميز هذهِ الملزمة بعِدة مُميزات :
1- مُترجمة ترجمة تُناسب جميع المستويات
2- تحتوي على 78 رسم توضيحي لكل كلمة موجودة بالملزمة (لكل كلمة !!!!)
#فهم_ماكو_درخ
3- دقة الكتابة والصور عالية جداً جداً جداً
4- هُنالك بعض المعلومات تم توضيحها بشكل تفصيلي جداً (تُعتبر لدى الطالب أو الطالبة بإنها معلومات مُبهمة ومع ذلك تم توضيح هذهِ المعلومات المُبهمة بشكل تفصيلي جداً
5- الملزمة تشرح نفسها ب نفسها بس تكلك تعال اقراني
6- تحتوي الملزمة في اول سلايد على خارطة تتضمن جميع تفرُعات معلومات الجهاز الهيكلي المذكورة في هذهِ الملزمة
واخيراً هذهِ الملزمة حلالٌ عليكم وإتمنى منكم إن تدعولي بالخير والصحة والعافية فقط
كل التوفيق زملائي وزميلاتي ، زميلكم محمد الذهبي 💊💊
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Gender and Mental Health - Counselling and Family Therapy Applications and In...PsychoTech Services
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...EduSkills OECD
Andreas Schleicher, Director of Education and Skills at the OECD presents at the launch of PISA 2022 Volume III - Creative Minds, Creative Schools on 18 June 2024.
How to Manage Reception Report in Odoo 17Celine George
A business may deal with both sales and purchases occasionally. They buy things from vendors and then sell them to their customers. Such dealings can be confusing at times. Because multiple clients may inquire about the same product at the same time, after purchasing those products, customers must be assigned to them. Odoo has a tool called Reception Report that can be used to complete this assignment. By enabling this, a reception report comes automatically after confirming a receipt, from which we can assign products to orders.
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...indexPub
The recent surge in pro-Palestine student activism has prompted significant responses from universities, ranging from negotiations and divestment commitments to increased transparency about investments in companies supporting the war on Gaza. This activism has led to the cessation of student encampments but also highlighted the substantial sacrifices made by students, including academic disruptions and personal risks. The primary drivers of these protests are poor university administration, lack of transparency, and inadequate communication between officials and students. This study examines the profound emotional, psychological, and professional impacts on students engaged in pro-Palestine protests, focusing on Generation Z's (Gen-Z) activism dynamics. This paper explores the significant sacrifices made by these students and even the professors supporting the pro-Palestine movement, with a focus on recent global movements. Through an in-depth analysis of printed and electronic media, the study examines the impacts of these sacrifices on the academic and personal lives of those involved. The paper highlights examples from various universities, demonstrating student activism's long-term and short-term effects, including disciplinary actions, social backlash, and career implications. The researchers also explore the broader implications of student sacrifices. The findings reveal that these sacrifices are driven by a profound commitment to justice and human rights, and are influenced by the increasing availability of information, peer interactions, and personal convictions. The study also discusses the broader implications of this activism, comparing it to historical precedents and assessing its potential to influence policy and public opinion. The emotional and psychological toll on student activists is significant, but their sense of purpose and community support mitigates some of these challenges. However, the researchers call for acknowledging the broader Impact of these sacrifices on the future global movement of FreePalestine.
A Free 200-Page eBook ~ Brain and Mind Exercise.pptxOH TEIK BIN
(A Free eBook comprising 3 Sets of Presentation of a selection of Puzzles, Brain Teasers and Thinking Problems to exercise both the mind and the Right and Left Brain. To help keep the mind and brain fit and healthy. Good for both the young and old alike.
Answers are given for all the puzzles and problems.)
With Metta,
Bro. Oh Teik Bin 🙏🤓🤔🥰
2. OBJECTIVE
A comparison between Internet based
computing and SN P system and use Internet
computing Pebble game for SN P system.
3. ACKNOWLEDGEMENT
I wish to express my deep gratitude and
sincere thanks to Principal Mrs.
BHANUMATHY H.D for her
encouragement and facilities that she
provided for this project. I shall remain
indebted to her.
It would be my utmost pleasure to express
my sincere thanks to my computer science
teacher for providing a helping hand in
this project.
I can’t forget to offer my sincere thanks to
my classmates who helped me to carry out
this project.
My thanking will be incomplete without
thanking my parents who where always
with me and supported me in doing this
4. project. It is their help which made the
project to attain its present form.
CONTENTS
(i) INTRODUCTION.
(ii) COMPUTATION DAGS
(iii) SPIKING NEURON P SYSTEM
(iv) IC PEBBLE GAME.
(v) THEOREM.
(vi) REFERENCE
5. INTRODUCTION
A number of basic life processes can be considered as
computation. Natural computing studies these
computations. Mainly there are three types of Computing.
DNA, Membrane, & Quantum Computations.
Membrane Computing inspired by computational
processes in living cells, was introduced by Gheorghe Paun
in 1998 and they are calledP systems. P systems are a
class of distributed parallelcomputing devices of a
biochemicaltype which can be seen as general computing
architecture where various types of objects can be
processed by various operations.
Now SN P Systems are proved to be number computing
devices. A neuron (node) sends signals (spike) along its
outgoing synapses (edges).
We use a reserved symbol or letter ‘a’ to represent a spike.
Each neuron has its own rule for either sending Spike
(firing rules) or for internally consuming spike (forgetting
6. rules). The spiking can take place at the moment of time or
a later moment. In this paper a comparison betweenthis
graphical model of SN P system and Internet based
computing is done. Then we use Internet Computing
pebble game to make SN P system a computational device.
COMPUTATIONAL
DAGS
A directed graph given by a set of nodes NG and a set of
arcs or directed edges AG each having the form ( u → v),
where u, v NG. A path in G is a sequence of arcs that
share adjacent end points, as in the path from node u1 to
node un: ( u1 → u2 ), ( u2 → u3 ), …, ( un-1 → un ).
A dag or a directed acyclicgraph is a digraph that has no
cycles; that is G cannot contain a path from ( u1 → u2 ), (
u2 → u3 ), …, ( un-1 → un ) wherein u1 = un. When a dag is
used to model a computation it is called a computation
dag.
Each node v NG represents a tasks of the computation
An arc (u → v) AG represents the dependence of task v on
task u; v cannot be executed until u is.
7. For each arc (u → v) AG . ‘u’ & ‘v’ are related as parent &
child respectively in G. Every dag has at least one
parentless node (which is called the source). Every finite
dag has at least one childless node calledsink. Here we use
this model of dags to represent the SN P system.
SPIKING NEURON P
SYSTEM
The brain is a vastly complicated signal system with
neuron forming the basis of the system. Electrochemical
signals flow in one directionin neurons. The majority of
neurons receives input on the cell body and dendrite tree,
and transmits output via the axon. The connection
between the ends of axons and dendrites or cell body of
the neurons is the specialized structures calledsynapses
In SN P system electricimpulses are passes through the
synapses .Such a pulse or impulse is calledspike or action
potential .Sequences of such impulses which occur at
regular or irregular intervals are called spike trains .Since
all spikes of a given neuron look alike the form of action
8. potential does not carry any information .Rather it is the
number and timing of spike what matter.
Definition2.1 Mathematicallywe represent a Spiking
Neural P system (in short, an SN P system), of degree m
1.
It is expressed in the form
=( O,1,…,m,syn,i0 )
Where:
1. O= {a} is the singleton alphabet (a is called Spike)
2. 1,…,m, are neurons, of the form
i = (ni, Ri), 1 i m
Where:
a) ni 0 is the initial number of spikes contained by
the cell ;
b)Ri is a finite set of rules of the followingtwo forms :
(1) E/ar a; t, where E is a regular expression over O, r
1, and t 0;
(2) asλ for some s 1, with the restriction that asL(E)
for any rule. E/ ar a; t, of type (1) from Ri.
(3) Syn {1, 2, …, m} X {1, 2, …., m} with (i,i) syn for 1 i
m (synapses among cells);
9. (4) i0 {1,2,..,m} indicates the output neurons.
The rules of type (1) are firing (we also
say spiking) rules, and they are applied as follows. If the
neurons i contains k spikes, and ak L (E), k r, then the
rule E/ ar a; d can be applied. The applicationof this rule
means consuming or removing r spikes and thus only k-r
remain in i the neuron is fired, and it produces a spike
after d time units. If d=0, then the spike is emitted
immediately, if d=1 then the spike is emitted in the next
step etc. If the rule is used in step t and d 1, then in steps
t, t + 1, t + 2 ,…,t+d-1 the neuron is closed, so that it cannot
receive new spikes .
In step t + d, the neuron spikes and becomes again open,
so that it can receive spike which can be used in step
t+d+1.
The rule of type (2) is forgetting rules, and they are applied
as follows: if the neurons i contains exactlys spikes, then
the rule asλ from Ri can be used, meaning that all s
spikes are removed from i .
(i) If a neuron spike with times t1, t2,…then either the
set of numbers t1,t2,…can be considered as computed by ,
that is ST ( ) or Spike train of where ST ( ) = < t1,
t2….>.
10. (ii) The set of intervals between spikes ts –t s-1 , s 2
can be the set computed by Nk( ), where Nk( ) ={ n / n =
ti –t i-1 , 2 i k }.
IC PEBBLE GAME
As soon as a spike enters in a neuron as input in the initial
configuration or from another neuron through synapses, it
makes it active altogether with the synapses that it
establishes with other neurons. That is if a neuron uses the
rule of the form ar a; 0 one spike is sent out at the time of
spike and the neuron is active. If a neuron uses the
forgetting rule as λ the neuron willbe inactive. In a self
activating SN P system we have an arbitrary large number
of neurons which differ by the number of spikes and the
rules they contain. Some of these willbe active and others
inactive.
If there is a spike from (u → v) that means u is the parent
node and v is the child of u. In SN P system there can be
more than one parent node, all neuron which contain
spike in the first step are parent nodes. One output neuron
that sends a spike to the environment is known as the sink
node.
11. In this section we explainthe IC Pebble game and what are
the similarities of this game with the working of SN P
system. The basic idea underlying pebble game is to use
tokens called pebbles to model the progress of a
computation on a dag. The placement or removal of
pebbles of various types- which is constrained by the
dependencies modeled by the dag’s arcs – represents the
changing status of the task represented by the dag’s node.
The IC Pebble game on a computation dag G involves one
player S, the server, who has access to unlimited supplies
of two types of pebbles:
ELIGIBLE pebbles: whose presence indicates a task’s
eligibilityfor execution.
EXICUTED pebbles: whose presence indicates a task’s
having been executed.
The rules of IC Pebble games are
1. S begins by placing an ELIGIBLE pebble on each unpebbled
source of G.
2. At each step, S
Select a node that contain an ELIGIBLE pebble
Replace that pebble by an EXICUTED pebble
12. Places an ELIGIBLE pebble on each unpebbled
node of G all of whose parents contain EXICUTED
pebbles.
3. S’s goal is to allocatein such a way that every node v of G
eventually contains an executable pebble.
For each step t of the play IC pebble game on the
a dag G, let X(t) denote the number of EXICUTED pebbles
on G’s nodes at step t and let E(t) denotes the number of
ELIGIBLE pebbles. X(t) = t is the idealized version of the
game this is not true in the original version. The aim of the
game is to maximize E(t) as possible.
A Pebble game for SN P System
Consider SN P system in the form of a directed
acyclicgraph.
1. The players of IC pebble game in SN P system are
Neurons that is all the neurons which contains spikes
initially willstart the game or all the neurons of such
type are known as the sources.
2. A finite or infinite set of clients, more than one neuron
is connected to the source neuron
Can be ELIGIBLE neuron ( EL neurons) whose
presence indicates a spike eligiblefor execution.
13. EXICUTED neuron (EX neurons)whose presence
indicates a neuron already executes the task or
already a spike is send out from the neuron.
Places an ELIGIBLE neuron on each unpebbled
node of G at least one of whose parents contain
EXICUTED pebble
THEOREM
The Theorems Are :
a) For any schedule that allocatesnodes sequentially along
successive diagonal levels of the mesh E(t) = n whenever
nC2 t < (n + 1)C2 .
b) For any schedule for the mesh, if t lies in the preceding
range, then E(t) can be as large as possible as n.
Conclusion
In this paper we introduced IC Pebble game,
which incorporated the features of SN P system. Also
present methodologies to derive a mesh structure for SN P
system using different rules inside the neurons. This
shows the computational completeness of SN P system.
14. REFERENCES
1) G. Malewicz, A.L.Rosenberg, On batch
scheduling dags for Internet based Computing.
Euro- Par 2005, In Lecture notes in Computer
Science 3648, Springer – Verlag, Berlin, PP 262-
271.
2) G. Malewicz, A.L.Rosenberg, A Pebble
game for Internet – Based Computing, CIRM,
Marseille, France, 29 May – 2 June 2006.
3) Gh.Paun: Membrane computing-An
introduction. Springer – Verlag, Berlin 2002.