This document summarizes the ResNet deep learning architecture. It introduces residual learning, where instead of learning the desired underlying mapping directly, the network learns a residual mapping and adds it to the input. This alleviates degradation problems in very deep networks and allows them to be easily optimized. The document outlines the ResNet architecture, which uses residual blocks with shortcut connections and convolutional layers with small filters. ResNet achieved substantially better results than previous networks on the ImageNet classification task.
Deeper neural networks are more difficult to train. We present a residual learning framework to ease the training of networks that are substantially deeper than those used previously. We explicitly reformulate the layers as learning residual functions with reference to the layer inputs, instead of learning unreferenced functions. We provide comprehensive empirical evidence showing that these residual networksareeasiertooptimize,andcangainaccuracyfrom considerably increased depth. On the ImageNet dataset we evaluate residualnets with adepth of up to152 layers—8× deeper than VGG nets [41] but still having lower complexity. Anensembleoftheseresidualnetsachieves3.57%error ontheImageNettestset. Thisresultwonthe1stplaceonthe ILSVRC 2015 classification task. We also present analysis on CIFAR-10 with 100 and 1000 layers. The depth of representations is of central importance for many visual recognition tasks. Solely due to our extremely deep representations, we obtain a 28% relative improvement on the COCO object detection dataset. Deep residualnetsarefoundationsofoursubmissionstoILSVRC & COCO 2015 competitions1, where we also won the 1st places on the tasks of ImageNet detection, ImageNet localization, COCO detection, and COCO segmentation.
TensorFlow Korea 논문읽기모임 PR12 243째 논문 review입니다
이번 논문은 RegNet으로 알려진 Facebook AI Research의 Designing Network Design Spaces 입니다.
CNN을 디자인할 때, bottleneck layer는 정말 좋을까요? layer 수는 많을 수록 높은 성능을 낼까요? activation map의 width, height를 절반으로 줄일 때(stride 2 혹은 pooling), channel을 2배로 늘려주는데 이게 최선일까요? 혹시 bottleneck layer가 없는 게 더 좋지는 않은지, 최고 성능을 내는 layer 수에 magic number가 있는 건 아닐지, activation이 절반으로 줄어들 때 channel을 2배가 아니라 3배로 늘리는 게 더 좋은건 아닌지?
이 논문에서는 하나의 neural network을 잘 design하는 것이 아니라 Auto ML과 같은 기술로 좋은 neural network을 찾을 수 있는 즉 좋은 neural network들이 살고 있는 좋은 design space를 design하는 방법에 대해서 얘기하고 있습니다. constraint이 거의 없는 design space에서 human-in-the-loop을 통해 좋은 design space로 그 공간을 좁혀나가는 방법을 제안하였는데요, EfficientNet보다 더 좋은 성능을 보여주는 RegNet은 어떤 design space에서 탄생하였는지 그리고 그 과정에서 우리가 당연하게 여기고 있었던 design choice들이 잘못된 부분은 없었는지 아래 동영상에서 확인하실 수 있습니다~
영상링크: https://youtu.be/bnbKQRae_u4
논문링크: https://arxiv.org/abs/2003.13678
ResNet (short for Residual Network) is a deep neural network architecture that has achieved significant advancements in image recognition tasks. It was introduced by Kaiming He et al. in 2015.
The key innovation of ResNet is the use of residual connections, or skip connections, that enable the network to learn residual mappings instead of directly learning the desired underlying mappings. This addresses the problem of vanishing gradients that commonly occurs in very deep neural networks.
In a ResNet, the input data flows through a series of residual blocks. Each residual block consists of several convolutional layers followed by batch normalization and rectified linear unit (ReLU) activations. The original input to a residual block is passed through the block and added to the output of the block, creating a shortcut connection. This addition operation allows the network to learn residual mappings by computing the difference between the input and the output.
By using residual connections, the gradients can propagate more effectively through the network, enabling the training of deeper models. This enables the construction of extremely deep ResNet architectures with hundreds of layers, such as ResNet-101 or ResNet-152, while still maintaining good performance.
ResNet has become a widely adopted architecture in various computer vision tasks, including image classification, object detection, and image segmentation. Its ability to train very deep networks effectively has made it a fundamental building block in the field of deep learning.
Deeper neural networks are more difficult to train. We present a residual learning framework to ease the training of networks that are substantially deeper than those used previously. We explicitly reformulate the layers as learning residual functions with reference to the layer inputs, instead of learning unreferenced functions. We provide comprehensive empirical evidence showing that these residual networksareeasiertooptimize,andcangainaccuracyfrom considerably increased depth. On the ImageNet dataset we evaluate residualnets with adepth of up to152 layers—8× deeper than VGG nets [41] but still having lower complexity. Anensembleoftheseresidualnetsachieves3.57%error ontheImageNettestset. Thisresultwonthe1stplaceonthe ILSVRC 2015 classification task. We also present analysis on CIFAR-10 with 100 and 1000 layers. The depth of representations is of central importance for many visual recognition tasks. Solely due to our extremely deep representations, we obtain a 28% relative improvement on the COCO object detection dataset. Deep residualnetsarefoundationsofoursubmissionstoILSVRC & COCO 2015 competitions1, where we also won the 1st places on the tasks of ImageNet detection, ImageNet localization, COCO detection, and COCO segmentation.
TensorFlow Korea 논문읽기모임 PR12 243째 논문 review입니다
이번 논문은 RegNet으로 알려진 Facebook AI Research의 Designing Network Design Spaces 입니다.
CNN을 디자인할 때, bottleneck layer는 정말 좋을까요? layer 수는 많을 수록 높은 성능을 낼까요? activation map의 width, height를 절반으로 줄일 때(stride 2 혹은 pooling), channel을 2배로 늘려주는데 이게 최선일까요? 혹시 bottleneck layer가 없는 게 더 좋지는 않은지, 최고 성능을 내는 layer 수에 magic number가 있는 건 아닐지, activation이 절반으로 줄어들 때 channel을 2배가 아니라 3배로 늘리는 게 더 좋은건 아닌지?
이 논문에서는 하나의 neural network을 잘 design하는 것이 아니라 Auto ML과 같은 기술로 좋은 neural network을 찾을 수 있는 즉 좋은 neural network들이 살고 있는 좋은 design space를 design하는 방법에 대해서 얘기하고 있습니다. constraint이 거의 없는 design space에서 human-in-the-loop을 통해 좋은 design space로 그 공간을 좁혀나가는 방법을 제안하였는데요, EfficientNet보다 더 좋은 성능을 보여주는 RegNet은 어떤 design space에서 탄생하였는지 그리고 그 과정에서 우리가 당연하게 여기고 있었던 design choice들이 잘못된 부분은 없었는지 아래 동영상에서 확인하실 수 있습니다~
영상링크: https://youtu.be/bnbKQRae_u4
논문링크: https://arxiv.org/abs/2003.13678
ResNet (short for Residual Network) is a deep neural network architecture that has achieved significant advancements in image recognition tasks. It was introduced by Kaiming He et al. in 2015.
The key innovation of ResNet is the use of residual connections, or skip connections, that enable the network to learn residual mappings instead of directly learning the desired underlying mappings. This addresses the problem of vanishing gradients that commonly occurs in very deep neural networks.
In a ResNet, the input data flows through a series of residual blocks. Each residual block consists of several convolutional layers followed by batch normalization and rectified linear unit (ReLU) activations. The original input to a residual block is passed through the block and added to the output of the block, creating a shortcut connection. This addition operation allows the network to learn residual mappings by computing the difference between the input and the output.
By using residual connections, the gradients can propagate more effectively through the network, enabling the training of deeper models. This enables the construction of extremely deep ResNet architectures with hundreds of layers, such as ResNet-101 or ResNet-152, while still maintaining good performance.
ResNet has become a widely adopted architecture in various computer vision tasks, including image classification, object detection, and image segmentation. Its ability to train very deep networks effectively has made it a fundamental building block in the field of deep learning.
ResNet, short for "Residual Network," is a type of deep neural network architecture that was introduced by Microsoft researchers in 2015. ResNet is designed to address the problem of vanishing gradients, which can occur in deep neural networks that are many layers deep.
The main innovation in ResNet is the use of residual connections, also known as skip connections. These connections allow information from earlier layers of the network to bypass some of the later layers and be directly fed into the later layers. This helps to ensure that the gradient signal from the output can propagate back through the network during training, which can help to prevent the vanishing gradient problem.
ResNet has been shown to be very effective at image recognition and other computer vision tasks. It has achieved state-of-the-art performance on a number of benchmark datasets, such as ImageNet. Since its introduction, many variations and improvements to the original ResNet architecture have been proposed, including ResNeXt, Wide ResNet, and Residual Attention Network (RANet).
[PR12] Inception and Xception - Jaejun YooJaeJun Yoo
Introduction to Inception and Xception
video: https://youtu.be/V0dLhyg5_Dw
Papers:
Going Deeper with Convolutions
Rethinking the Inception Architecture for Computer Vision
Inception-v4, Inception-RestNet and the Impact of Residual Connections on Learning
Xception: Deep Learning with Depthwise Separable Convolutions
A comprehensive tutorial on Convolutional Neural Networks (CNN) which talks about the motivation behind CNNs and Deep Learning in general, followed by a description of the various components involved in a typical CNN layer. It explains the theory involved with the different variants used in practice and also, gives a big picture of the whole network by putting everything together.
Next, there's a discussion of the various state-of-the-art frameworks being used to implement CNNs to tackle real-world classification and regression problems.
Finally, the implementation of the CNNs is demonstrated by implementing the paper 'Age ang Gender Classification Using Convolutional Neural Networks' by Hassner (2015).
U-Net is a convolutional neural network (CNN) architecture designed for semantic segmentation tasks, especially in the field of medical image analysis. It was introduced by Olaf Ronneberger, Philipp Fischer, and Thomas Brox in 2015. The name "U-Net" comes from its U-shaped architecture.
Key features of the U-Net architecture:
U-Shaped Design: U-Net consists of a contracting path (downsampling) and an expansive path (upsampling). The architecture resembles the letter "U" when visualized.
Contracting Path (Encoder):
The contracting path involves a series of convolutional and pooling layers.
Each convolutional layer is followed by a rectified linear unit (ReLU) activation function and possibly other normalization or activation functions.
Pooling layers (usually max pooling) reduce spatial dimensions, capturing high-level features.
Expansive Path (Decoder):
The expansive path involves a series of upsampling and convolutional layers.
Upsampling is achieved using transposed convolution (also known as deconvolution or convolutional transpose).
Skip connections are established between corresponding layers in the contracting and expansive paths. These connections help retain fine-grained spatial information during the upsampling process.
Skip Connections:
Skip connections concatenate feature maps from the contracting path to the corresponding layers in the expansive path.
These connections facilitate the fusion of low-level and high-level features, aiding in precise localization.
Final Layer:
The final layer typically uses a convolutional layer with a softmax activation function for multi-class segmentation tasks, providing probability scores for each class.
U-Net's architecture and skip connections help address the challenge of segmenting objects with varying sizes and shapes, which is often encountered in medical image analysis. Its success in this domain has led to its application in other areas of computer vision as well.
The U-Net architecture has also been extended and modified in various ways, leading to improvements like the U-Net++ architecture and variations with attention mechanisms, which further enhance the segmentation performance.
U-Net's intuitive design and effectiveness in semantic segmentation tasks have made it a cornerstone in the field of medical image analysis and an influential architecture for researchers working on segmentation challenges.
This presentation is Part 2 of my September Lisp NYC presentation on Reinforcement Learning and Artificial Neural Nets. We will continue from where we left off by covering Convolutional Neural Nets (CNN) and Recurrent Neural Nets (RNN) in depth.
Time permitting I also plan on having a few slides on each of the following topics:
1. Generative Adversarial Networks (GANs)
2. Differentiable Neural Computers (DNCs)
3. Deep Reinforcement Learning (DRL)
Some code examples will be provided in Clojure.
After a very brief recap of Part 1 (ANN & RL), we will jump right into CNN and their appropriateness for image recognition. We will start by covering the convolution operator. We will then explain feature maps and pooling operations and then explain the LeNet 5 architecture. The MNIST data will be used to illustrate a fully functioning CNN.
Next we cover Recurrent Neural Nets in depth and describe how they have been used in Natural Language Processing. We will explain why gated networks and LSTM are used in practice.
Please note that some exposure or familiarity with Gradient Descent and Backpropagation will be assumed. These are covered in the first part of the talk for which both video and slides are available online.
A lot of material will be drawn from the new Deep Learning book by Goodfellow & Bengio as well as Michael Nielsen's online book on Neural Networks and Deep Learning as well several other online resources.
Bio
Pierre de Lacaze has over 20 years industry experience with AI and Lisp based technologies. He holds a Bachelor of Science in Applied Mathematics and a Master’s Degree in Computer Science.
https://www.linkedin.com/in/pierre-de-lacaze-b11026b/
Introducing the use of the machine learning in the Matlab Environment. This technique is related to the Artificial Intelligence. Machine Learning is a discussed topic in the field of Computer Science, Robotics, Artificial Vision.
ResNet, short for "Residual Network," is a type of deep neural network architecture that was introduced by Microsoft researchers in 2015. ResNet is designed to address the problem of vanishing gradients, which can occur in deep neural networks that are many layers deep.
The main innovation in ResNet is the use of residual connections, also known as skip connections. These connections allow information from earlier layers of the network to bypass some of the later layers and be directly fed into the later layers. This helps to ensure that the gradient signal from the output can propagate back through the network during training, which can help to prevent the vanishing gradient problem.
ResNet has been shown to be very effective at image recognition and other computer vision tasks. It has achieved state-of-the-art performance on a number of benchmark datasets, such as ImageNet. Since its introduction, many variations and improvements to the original ResNet architecture have been proposed, including ResNeXt, Wide ResNet, and Residual Attention Network (RANet).
[PR12] Inception and Xception - Jaejun YooJaeJun Yoo
Introduction to Inception and Xception
video: https://youtu.be/V0dLhyg5_Dw
Papers:
Going Deeper with Convolutions
Rethinking the Inception Architecture for Computer Vision
Inception-v4, Inception-RestNet and the Impact of Residual Connections on Learning
Xception: Deep Learning with Depthwise Separable Convolutions
A comprehensive tutorial on Convolutional Neural Networks (CNN) which talks about the motivation behind CNNs and Deep Learning in general, followed by a description of the various components involved in a typical CNN layer. It explains the theory involved with the different variants used in practice and also, gives a big picture of the whole network by putting everything together.
Next, there's a discussion of the various state-of-the-art frameworks being used to implement CNNs to tackle real-world classification and regression problems.
Finally, the implementation of the CNNs is demonstrated by implementing the paper 'Age ang Gender Classification Using Convolutional Neural Networks' by Hassner (2015).
U-Net is a convolutional neural network (CNN) architecture designed for semantic segmentation tasks, especially in the field of medical image analysis. It was introduced by Olaf Ronneberger, Philipp Fischer, and Thomas Brox in 2015. The name "U-Net" comes from its U-shaped architecture.
Key features of the U-Net architecture:
U-Shaped Design: U-Net consists of a contracting path (downsampling) and an expansive path (upsampling). The architecture resembles the letter "U" when visualized.
Contracting Path (Encoder):
The contracting path involves a series of convolutional and pooling layers.
Each convolutional layer is followed by a rectified linear unit (ReLU) activation function and possibly other normalization or activation functions.
Pooling layers (usually max pooling) reduce spatial dimensions, capturing high-level features.
Expansive Path (Decoder):
The expansive path involves a series of upsampling and convolutional layers.
Upsampling is achieved using transposed convolution (also known as deconvolution or convolutional transpose).
Skip connections are established between corresponding layers in the contracting and expansive paths. These connections help retain fine-grained spatial information during the upsampling process.
Skip Connections:
Skip connections concatenate feature maps from the contracting path to the corresponding layers in the expansive path.
These connections facilitate the fusion of low-level and high-level features, aiding in precise localization.
Final Layer:
The final layer typically uses a convolutional layer with a softmax activation function for multi-class segmentation tasks, providing probability scores for each class.
U-Net's architecture and skip connections help address the challenge of segmenting objects with varying sizes and shapes, which is often encountered in medical image analysis. Its success in this domain has led to its application in other areas of computer vision as well.
The U-Net architecture has also been extended and modified in various ways, leading to improvements like the U-Net++ architecture and variations with attention mechanisms, which further enhance the segmentation performance.
U-Net's intuitive design and effectiveness in semantic segmentation tasks have made it a cornerstone in the field of medical image analysis and an influential architecture for researchers working on segmentation challenges.
This presentation is Part 2 of my September Lisp NYC presentation on Reinforcement Learning and Artificial Neural Nets. We will continue from where we left off by covering Convolutional Neural Nets (CNN) and Recurrent Neural Nets (RNN) in depth.
Time permitting I also plan on having a few slides on each of the following topics:
1. Generative Adversarial Networks (GANs)
2. Differentiable Neural Computers (DNCs)
3. Deep Reinforcement Learning (DRL)
Some code examples will be provided in Clojure.
After a very brief recap of Part 1 (ANN & RL), we will jump right into CNN and their appropriateness for image recognition. We will start by covering the convolution operator. We will then explain feature maps and pooling operations and then explain the LeNet 5 architecture. The MNIST data will be used to illustrate a fully functioning CNN.
Next we cover Recurrent Neural Nets in depth and describe how they have been used in Natural Language Processing. We will explain why gated networks and LSTM are used in practice.
Please note that some exposure or familiarity with Gradient Descent and Backpropagation will be assumed. These are covered in the first part of the talk for which both video and slides are available online.
A lot of material will be drawn from the new Deep Learning book by Goodfellow & Bengio as well as Michael Nielsen's online book on Neural Networks and Deep Learning as well several other online resources.
Bio
Pierre de Lacaze has over 20 years industry experience with AI and Lisp based technologies. He holds a Bachelor of Science in Applied Mathematics and a Master’s Degree in Computer Science.
https://www.linkedin.com/in/pierre-de-lacaze-b11026b/
Introducing the use of the machine learning in the Matlab Environment. This technique is related to the Artificial Intelligence. Machine Learning is a discussed topic in the field of Computer Science, Robotics, Artificial Vision.
Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
3. 2
ResNet
• Deep convolutional neural networks have led to a series of breakthroughs for image classification.
• The depth of representations is of central importance for many visual recognition tasks.
• Is learning better networks as easy as stacking more layers?
• An obstacle to answering this question was the notorious problem of vanishing/exploding gradients.
• Degradation problem has been exposed, not caused by overfitting, led to higher training error
• In this paper, we address the degradation problem by introducing a deep residual learning framework.
Introduction
4. 3
ResNet
• Formally, denoting the desired underlying mapping as H(x), we let the stacked nonlinear layers fit another
mapping of F(x) := H(x)−x. The original mapping is recast into F(x)+x.
• Identity shortcut connections(in this case, residual learning) add neither extra parameter nor computational
complexity.
• Deep residual nets are easy to optimize, but the counterpart “plain” nets (that simply stack layers) exhibit
higher training error when the depth increases.
• Deep residual nets can easily enjoy accuracy gains from greatly increased depth, producing results
substantially better than previous networks.
Residual learning framework
5. 4
ResNet
• We learn not H(x), but H(x) − x(=F(x)).
• Although both forms should be able to asymptotically approximate the desired functions (as hypothesized),
the ease of learning might be different.
• This reformulation is motivated by the counterintuitive phenomena about the degradation problem.
• We show by experiments that the learned residual functions in general have small responses, suggesting that
identity mappings provide reasonable preconditioning.
Residual Learning
6. 5
ResNet
• The function F(x, {Wi}) represents the residual mapping to be learned.
• If this is not the case (e.g., when changing the input/output channels), we can perform a linear projection Ws
by the shortcut connections to match the dimensions: (2)
Identity Mapping by Shortcuts
7. 6
ResNet
• Plain Network.
• Inspired by the philosophy of VGG
nets.
• Convolutional layers mostly have 3×3
filters.
• Downsampling is performed directly by
convolutional layers with a stride of
2.(no pooling layer for each layer)
• The network ends with a global
average pooling layer.
• A 1000-way fully-connected layer with
softmax is used at the end.
• Compare with Residual Network.
Network Architectures (Plain Network , Residual Network)
8. 7
ResNet
• Evaluate our method on the ImageNet 2012 classification dataset [36] that consists of 1000 classes.
• Evaluate both top-1 and top-5 error rates.
Implementation
9. 8
ResNet
• We argue that this optimization difficulty is unlikely to be caused by vanishing gradients
• We conjecture that the deep plain nets may have exponentially low convergence rates, which impact the
reducing of the training error.
Implementation
10. 9
ResNet
• ResNet introduced residual connections to address the vanishing gradient problem in deep networks.
• Initially, it was believed that the vanishing gradient was the primary issue in training deep networks.
• However, further observations showed that deep plain networks (without residual connections) experienced
exponentially slow convergence, which was not solely due to the vanishing gradient.
• This slow convergence is related to the reduction in learning rates.
• Residual connections improve gradient propagation by directly adding the input to the output.
• As a result, residual connections enhance the convergence speed of deep networks and mitigate the
reduction in learning rates.
• In this case, the ResNet eases the optimization by providing faster convergence at the early stage.
Result