Basic Computer Engineering Unit II as per RGPV SyllabusNANDINI SHARMA
The document provides an overview of algorithms and computational complexity. It defines an algorithm as a set of unambiguous steps to solve a problem, and discusses how algorithms can be expressed using different languages. It then covers algorithmic complexity and how to analyze the time complexity of algorithms using asymptotic notation like Big-O notation. Specific time complexities like constant, linear, logarithmic, and quadratic time are defined. The document also discusses flowcharts as a way to represent algorithms graphically and introduces some basic programming concepts.
This document summarizes key points from a lecture on Lévy processes and stochastic calculus. It discusses filtrations and how they allow consideration of events up to a given time. It defines Markov processes and their transition probabilities. It also discusses martingales and how Lévy processes with zero mean are martingales. Important martingale examples related to Lévy processes are presented.
The document discusses the background and current state of pinyin input methods (IMs) for Chinese text entry on Linux. It surveys existing open-source pinyin IMs like Fcitx, ibus-pinyin, and scim-pinyin, which use techniques like maximum forward match and uni-gram modeling. Sunpinyin and novel-pinyin are highlighted as NLP-based IMs that use n-gram and Hidden Markov models. The document proposes a new library called libpinyin that would merge the core functionality of sunpinyin and novel-pinyin to reduce duplication of efforts and provide a standardized pinyin processing library. Its goals are to make
Big O notation describes how efficiently an algorithm or function grows as the input size increases. It focuses on the worst-case scenario and ignores constant factors. Common time complexities include O(1) for constant time, O(n) for linear time, and O(n^2) for quadratic time. To determine an algorithm's complexity, its operations are analyzed, such as the number of statements, loops, and function calls.
Spectral Continuity: (p, r) - Α P And (p, k) - QIOSR Journals
This document discusses spectral continuity properties for operators belonging to the classes of (p,r)-ΑP (absolute (p,r)-paranormal) operators and (p,k)-Q (quasihyponormal) operators. It is shown that if a sequence of operators from one of these classes converges in norm to an operator T in the same class, then the spectrum, Weyl spectrum, Browder spectrum, and essential surjectivity spectrum are continuous at T. Some key properties used in the proofs are that for these operator classes, the ascent is finite, the single valued extension property is satisfied, and the adjoint satisfies a version of Weyl's theorem.
Representation formula for traffic flow estimation on a networkGuillaume Costeseque
This document discusses representation formulas for traffic flow estimation on networks using Hamilton-Jacobi equations. It begins by motivating the use of HJ equations, noting advantages like smooth solutions and physically meaningful quantities. It then presents the basic ideas of Lax-Hopf formulas for solving HJ equations on networks, including a simple case study of a junction. The document outlines its topics which include notations from traffic flow modeling, basic recalls on Lax-Hopf formulas, HJ equations on networks, and a new approach.
This document discusses the complexity of algorithms and the tradeoff between algorithm cost and time. It defines algorithm complexity as a function of input size that measures the time and space used by an algorithm. Different complexity classes are described such as polynomial, sub-linear, and exponential time. Examples are given to find the complexity of bubble sort and linear search algorithms. The concept of space-time tradeoffs is introduced, where using more space can reduce computation time. Genetic algorithms are proposed to efficiently solve large-scale construction time-cost tradeoff problems.
The document describes algorithms for text searching and pattern matching. It presents several algorithms for tasks like simple text search, Rabin-Karp search, Knuth-Morris-Pratt search, Boyer-Moore search, edit distance, approximate matching, don't-care search, and epsilon-NFA matching using pattern trees. The algorithms are explained through pseudocode with input/output parameters and complexity analysis provided for some.
Basic Computer Engineering Unit II as per RGPV SyllabusNANDINI SHARMA
The document provides an overview of algorithms and computational complexity. It defines an algorithm as a set of unambiguous steps to solve a problem, and discusses how algorithms can be expressed using different languages. It then covers algorithmic complexity and how to analyze the time complexity of algorithms using asymptotic notation like Big-O notation. Specific time complexities like constant, linear, logarithmic, and quadratic time are defined. The document also discusses flowcharts as a way to represent algorithms graphically and introduces some basic programming concepts.
This document summarizes key points from a lecture on Lévy processes and stochastic calculus. It discusses filtrations and how they allow consideration of events up to a given time. It defines Markov processes and their transition probabilities. It also discusses martingales and how Lévy processes with zero mean are martingales. Important martingale examples related to Lévy processes are presented.
The document discusses the background and current state of pinyin input methods (IMs) for Chinese text entry on Linux. It surveys existing open-source pinyin IMs like Fcitx, ibus-pinyin, and scim-pinyin, which use techniques like maximum forward match and uni-gram modeling. Sunpinyin and novel-pinyin are highlighted as NLP-based IMs that use n-gram and Hidden Markov models. The document proposes a new library called libpinyin that would merge the core functionality of sunpinyin and novel-pinyin to reduce duplication of efforts and provide a standardized pinyin processing library. Its goals are to make
Big O notation describes how efficiently an algorithm or function grows as the input size increases. It focuses on the worst-case scenario and ignores constant factors. Common time complexities include O(1) for constant time, O(n) for linear time, and O(n^2) for quadratic time. To determine an algorithm's complexity, its operations are analyzed, such as the number of statements, loops, and function calls.
Spectral Continuity: (p, r) - Α P And (p, k) - QIOSR Journals
This document discusses spectral continuity properties for operators belonging to the classes of (p,r)-ΑP (absolute (p,r)-paranormal) operators and (p,k)-Q (quasihyponormal) operators. It is shown that if a sequence of operators from one of these classes converges in norm to an operator T in the same class, then the spectrum, Weyl spectrum, Browder spectrum, and essential surjectivity spectrum are continuous at T. Some key properties used in the proofs are that for these operator classes, the ascent is finite, the single valued extension property is satisfied, and the adjoint satisfies a version of Weyl's theorem.
Representation formula for traffic flow estimation on a networkGuillaume Costeseque
This document discusses representation formulas for traffic flow estimation on networks using Hamilton-Jacobi equations. It begins by motivating the use of HJ equations, noting advantages like smooth solutions and physically meaningful quantities. It then presents the basic ideas of Lax-Hopf formulas for solving HJ equations on networks, including a simple case study of a junction. The document outlines its topics which include notations from traffic flow modeling, basic recalls on Lax-Hopf formulas, HJ equations on networks, and a new approach.
This document discusses the complexity of algorithms and the tradeoff between algorithm cost and time. It defines algorithm complexity as a function of input size that measures the time and space used by an algorithm. Different complexity classes are described such as polynomial, sub-linear, and exponential time. Examples are given to find the complexity of bubble sort and linear search algorithms. The concept of space-time tradeoffs is introduced, where using more space can reduce computation time. Genetic algorithms are proposed to efficiently solve large-scale construction time-cost tradeoff problems.
The document describes algorithms for text searching and pattern matching. It presents several algorithms for tasks like simple text search, Rabin-Karp search, Knuth-Morris-Pratt search, Boyer-Moore search, edit distance, approximate matching, don't-care search, and epsilon-NFA matching using pattern trees. The algorithms are explained through pseudocode with input/output parameters and complexity analysis provided for some.
The document discusses linear operators on probabilistic Hilbert spaces. It begins with definitions of key concepts like distribution functions, probabilistic inner products, and probabilistic Hilbert spaces. It then defines and proves properties of various types of linear operators in this context, such as bounded operators, adjoint operators, self-adjoint operators, and continuous operators. A key result is that every operator in a probabilistic Hilbert space is a self-adjoint operator. It also establishes the relationship between F-bounded operators and bounded operators in norm. The document provides foundations for understanding linear operators in probabilistic Hilbert spaces in a rigorous mathematical way.
This document discusses temporal logics for verification including Linear Temporal Logic (LTL) and Metric Temporal Logic (MTL) and their applications to different models like words, timed words, and data words. It introduces the syntax and semantics of LTL, MTL, and extensions of MTL to these different models. It also discusses different decision problems like satisfiability, model checking, and path checking for these logics and complexity results for different classes of structures. Finally, it advertises an open call for a research training group on quantitative logics and automata.
Simulating Turing Machines Using Colored Petri Nets with Priority Transitionsidescitation
In this paper, we present a new way to simulate
Turing machines using a specific form of Petri nets such that
the resulting nets are capable of thoroughly describing
behavior of the input Turing machines. We model every
element of a Turing machine’s tuple (i.e., Q, Γ, b, Σ, δ, q0, F) with
an equivalent translation in Colored Petri net’s set of elements
with priority transitions such that the resulting translation
(is a Petri net that) accepts the same language as the original
Turing machine. In the second part of the paper we analyze
time complexity of Turing machine’s input in the resulting
Petri net and show that it is a polynomial coefficient of time
complexity in the Turing machine.
This document discusses data structures and asymptotic analysis. It begins by defining key terminology related to data structures, such as abstract data types, algorithms, and implementations. It then covers asymptotic notations like Big-O, describing how they are used to analyze algorithms independently of implementation details. Examples are given of analyzing the runtime of linear search and binary search, showing that binary search has better asymptotic performance of O(log n) compared to linear search's O(n).
1) The document discusses the fundamentals of logic and propositional logic.
2) Propositional logic uses Boolean operators like NOT, AND, OR, XOR, and IMPLIES to combine simpler statements into compound statements.
3) The truth tables for each Boolean operator define their meaning by specifying whether combinations of true and false inputs are true or false outputs.
RSS discussion of Girolami and Calderhead, October 13, 2010Christian Robert
1. The document discusses discretizing Hamiltonians for Markov chain Monte Carlo (MCMC) methods. Specifically, it examines reproducing Hamiltonian equations through discretization, such as via generalized leapfrog.
2. However, the invariance and stability properties of the continuous-time process may not carry over to the discretized version. Approximations can be corrected with a Metropolis-Hastings step, so exactly reproducing the continuous behavior is not necessarily useful.
3. Discretization induces a calibration problem of determining the appropriate step size. Convergence issues for the MCMC algorithm should not be impacted by imperfect renderings of the continuous-time process in discrete time.
The document discusses inapproximability theory for NP optimization problems. It provides an overview of approximation ratios and approximation-preserving reductions. The key ingredients for obtaining inapproximability results are approximation-preserving reductions, gap problems, and the probabilistic checking proof (PCP) theorem. The PCP theorem shows that any language in NP can be reduced to approximating a gap problem for MAX-3SAT, allowing efficient computation of gap problems and derivation of inapproximability results.
To make Reinforcement Learning Algorithms work in the real-world, one has to get around (what Sutton calls) the "deadly triad": the combination of bootstrapping, function approximation and off-policy evaluation. The first step here is to understand Value Function Vector Space/Geometry and then make one's way into Gradient TD Algorithms (a big breakthrough to overcome the "deadly triad").
This document provides an overview of the key topics covered in Lecture 9 of an Artificial Intelligence course on fuzzy logic. The lecture introduces fuzzy sets and membership functions as a way to represent ambiguous or uncertain values. It covers fuzzy set operations, fuzzy numbers, fuzzy rules for reasoning, and fuzzy inference. An example is provided to illustrate how fuzzy logic can be applied to control the speed of a vehicle based on road curvature. The homework assignments involve problems working with the concepts introduced in the lecture.
This document summarizes Hill's method for numerically approximating the eigenvalues and eigenfunctions of differential operators. Hill's method has two main steps:
1. Perform a Floquet-Bloch decomposition to reduce the problem from the real line to the interval [0,L] with periodic boundary conditions, parameterized by the Floquet exponent μ. This gives an operator with a compact resolvent.
2. Approximate the solutions by Fourier series, reducing the problem to a matrix eigenvalue problem that can be solved numerically.
The method is straightforward to implement and effective for various problems involving differential operators on the real line or with periodic boundary conditions. Convergence rates and error bounds for Hill's method are also presented.
The document summarizes and provides code examples for four pattern matching algorithms:
1. The brute force algorithm checks each character position in the text to see if the pattern starts there, running in O(mn) time in worst case.
2. The Boyer-Moore algorithm uses a "bad character" shift and "good suffix" shift to skip over non-matching characters in the text, running faster than brute force.
3. The Knuth-Morris-Pratt algorithm uses a failure function to determine the maximum shift of the pattern on a mismatch, avoiding wasteful comparisons.
4. The failure function allows KMP to skip portions of the text like Boyer-Moore, running
The document discusses algorithms and their complexity. It defines an algorithm as a well-defined computational procedure that takes inputs and produces outputs. Algorithms have properties like definiteness, correctness, finiteness, and effectiveness. While faster computers make any method viable, analyzing algorithms' complexity is still important because computing resources are finite. Algorithm complexity is analyzed asymptotically for large inputs, focusing on growth rates like constant, logarithmic, linear, quadratic, and exponential. Common notations like Big-O describe upper algorithm complexity bounds.
Introduction to datastructure and algorithmPratik Mota
Introduction to data structure and algorithm
-Basics of Data Structure and Algorithm
-Practical Examples of where Data Structure Algorithms is used
-Asymptotic Notations [ O(n), o(n), θ(n), Ω(n), ω(n) ]
-Calculation of Time and Space Complexity
-GNU gprof basic
Computer Science Engineering : Data structure & algorithm, THE GATE ACADEMYklirantga
THE GATE ACADEMY's GATE Correspondence Materials consist of complete GATE syllabus in the form of booklets with theory, solved examples, model tests, formulae and questions in various levels of difficulty in all the topics of the syllabus. The material is designed in such a way that it has proven to be an ideal material in-terms of an accurate and efficient preparation for GATE.
Quick Refresher Guide : is especially developed for the students, for their quick revision of concepts preparing for GATE examination. Also get 1 All India Mock Tests with results including Rank,Percentile,detailed performance analysis and with video solutions
GATE QUESTION BANK : is a topic-wise and subject wise collection of previous year GATE questions ( 2001 – 2013). Also get 1 All India Mock Tests with results including Rank,Percentile,detailed performance analysis and with video solutions
Bangalore Head Office:
THE GATE ACADEMY
# 74, Keshava Krupa(Third floor), 30th Cross,
10th Main, Jayanagar 4th block, Bangalore- 560011
E-Mail: info@thegateacademy.com
Ph: 080-61766222
This document discusses dog racing. It takes place from 7:30pm to 10:30pm, for 3 hours total, with the dogs running 10 rounds of 450 meters each round. The document focuses on greyhounds, which are tall and big dogs that can run at speeds of up to 60 km/hour.
The document analyzes 10 different magazine covers and discusses their design elements. It notes that magazine covers typically feature eye-catching mastheads at the top to draw readers in. Covers also use bright colors, graphics, and images of popular artists to attract attention and interest buyers browsing the shelves. Skylines showing additional artists are also used to keep readers engaged even if they are not fans of the main featured artist. Barcodes with pricing are included to make the magazines look professionally produced.
This document summarizes Millennium HealthCare Inc., which provides medical practice management services focused on vascular disorders. It has over 16 million shares outstanding and is developing and managing vascular surgical facilities and cardiovascular practices. Its management team has extensive experience in medical device, cardiovascular, and practice management fields. It plans to expand its facilities and practices to multiple states in 2012 to take advantage of growing demand and reimbursement for vascular procedures.
The document discusses linear operators on probabilistic Hilbert spaces. It begins with definitions of key concepts like distribution functions, probabilistic inner products, and probabilistic Hilbert spaces. It then defines and proves properties of various types of linear operators in this context, such as bounded operators, adjoint operators, self-adjoint operators, and continuous operators. A key result is that every operator in a probabilistic Hilbert space is a self-adjoint operator. It also establishes the relationship between F-bounded operators and bounded operators in norm. The document provides foundations for understanding linear operators in probabilistic Hilbert spaces in a rigorous mathematical way.
This document discusses temporal logics for verification including Linear Temporal Logic (LTL) and Metric Temporal Logic (MTL) and their applications to different models like words, timed words, and data words. It introduces the syntax and semantics of LTL, MTL, and extensions of MTL to these different models. It also discusses different decision problems like satisfiability, model checking, and path checking for these logics and complexity results for different classes of structures. Finally, it advertises an open call for a research training group on quantitative logics and automata.
Simulating Turing Machines Using Colored Petri Nets with Priority Transitionsidescitation
In this paper, we present a new way to simulate
Turing machines using a specific form of Petri nets such that
the resulting nets are capable of thoroughly describing
behavior of the input Turing machines. We model every
element of a Turing machine’s tuple (i.e., Q, Γ, b, Σ, δ, q0, F) with
an equivalent translation in Colored Petri net’s set of elements
with priority transitions such that the resulting translation
(is a Petri net that) accepts the same language as the original
Turing machine. In the second part of the paper we analyze
time complexity of Turing machine’s input in the resulting
Petri net and show that it is a polynomial coefficient of time
complexity in the Turing machine.
This document discusses data structures and asymptotic analysis. It begins by defining key terminology related to data structures, such as abstract data types, algorithms, and implementations. It then covers asymptotic notations like Big-O, describing how they are used to analyze algorithms independently of implementation details. Examples are given of analyzing the runtime of linear search and binary search, showing that binary search has better asymptotic performance of O(log n) compared to linear search's O(n).
1) The document discusses the fundamentals of logic and propositional logic.
2) Propositional logic uses Boolean operators like NOT, AND, OR, XOR, and IMPLIES to combine simpler statements into compound statements.
3) The truth tables for each Boolean operator define their meaning by specifying whether combinations of true and false inputs are true or false outputs.
RSS discussion of Girolami and Calderhead, October 13, 2010Christian Robert
1. The document discusses discretizing Hamiltonians for Markov chain Monte Carlo (MCMC) methods. Specifically, it examines reproducing Hamiltonian equations through discretization, such as via generalized leapfrog.
2. However, the invariance and stability properties of the continuous-time process may not carry over to the discretized version. Approximations can be corrected with a Metropolis-Hastings step, so exactly reproducing the continuous behavior is not necessarily useful.
3. Discretization induces a calibration problem of determining the appropriate step size. Convergence issues for the MCMC algorithm should not be impacted by imperfect renderings of the continuous-time process in discrete time.
The document discusses inapproximability theory for NP optimization problems. It provides an overview of approximation ratios and approximation-preserving reductions. The key ingredients for obtaining inapproximability results are approximation-preserving reductions, gap problems, and the probabilistic checking proof (PCP) theorem. The PCP theorem shows that any language in NP can be reduced to approximating a gap problem for MAX-3SAT, allowing efficient computation of gap problems and derivation of inapproximability results.
To make Reinforcement Learning Algorithms work in the real-world, one has to get around (what Sutton calls) the "deadly triad": the combination of bootstrapping, function approximation and off-policy evaluation. The first step here is to understand Value Function Vector Space/Geometry and then make one's way into Gradient TD Algorithms (a big breakthrough to overcome the "deadly triad").
This document provides an overview of the key topics covered in Lecture 9 of an Artificial Intelligence course on fuzzy logic. The lecture introduces fuzzy sets and membership functions as a way to represent ambiguous or uncertain values. It covers fuzzy set operations, fuzzy numbers, fuzzy rules for reasoning, and fuzzy inference. An example is provided to illustrate how fuzzy logic can be applied to control the speed of a vehicle based on road curvature. The homework assignments involve problems working with the concepts introduced in the lecture.
This document summarizes Hill's method for numerically approximating the eigenvalues and eigenfunctions of differential operators. Hill's method has two main steps:
1. Perform a Floquet-Bloch decomposition to reduce the problem from the real line to the interval [0,L] with periodic boundary conditions, parameterized by the Floquet exponent μ. This gives an operator with a compact resolvent.
2. Approximate the solutions by Fourier series, reducing the problem to a matrix eigenvalue problem that can be solved numerically.
The method is straightforward to implement and effective for various problems involving differential operators on the real line or with periodic boundary conditions. Convergence rates and error bounds for Hill's method are also presented.
The document summarizes and provides code examples for four pattern matching algorithms:
1. The brute force algorithm checks each character position in the text to see if the pattern starts there, running in O(mn) time in worst case.
2. The Boyer-Moore algorithm uses a "bad character" shift and "good suffix" shift to skip over non-matching characters in the text, running faster than brute force.
3. The Knuth-Morris-Pratt algorithm uses a failure function to determine the maximum shift of the pattern on a mismatch, avoiding wasteful comparisons.
4. The failure function allows KMP to skip portions of the text like Boyer-Moore, running
The document discusses algorithms and their complexity. It defines an algorithm as a well-defined computational procedure that takes inputs and produces outputs. Algorithms have properties like definiteness, correctness, finiteness, and effectiveness. While faster computers make any method viable, analyzing algorithms' complexity is still important because computing resources are finite. Algorithm complexity is analyzed asymptotically for large inputs, focusing on growth rates like constant, logarithmic, linear, quadratic, and exponential. Common notations like Big-O describe upper algorithm complexity bounds.
Introduction to datastructure and algorithmPratik Mota
Introduction to data structure and algorithm
-Basics of Data Structure and Algorithm
-Practical Examples of where Data Structure Algorithms is used
-Asymptotic Notations [ O(n), o(n), θ(n), Ω(n), ω(n) ]
-Calculation of Time and Space Complexity
-GNU gprof basic
Computer Science Engineering : Data structure & algorithm, THE GATE ACADEMYklirantga
THE GATE ACADEMY's GATE Correspondence Materials consist of complete GATE syllabus in the form of booklets with theory, solved examples, model tests, formulae and questions in various levels of difficulty in all the topics of the syllabus. The material is designed in such a way that it has proven to be an ideal material in-terms of an accurate and efficient preparation for GATE.
Quick Refresher Guide : is especially developed for the students, for their quick revision of concepts preparing for GATE examination. Also get 1 All India Mock Tests with results including Rank,Percentile,detailed performance analysis and with video solutions
GATE QUESTION BANK : is a topic-wise and subject wise collection of previous year GATE questions ( 2001 – 2013). Also get 1 All India Mock Tests with results including Rank,Percentile,detailed performance analysis and with video solutions
Bangalore Head Office:
THE GATE ACADEMY
# 74, Keshava Krupa(Third floor), 30th Cross,
10th Main, Jayanagar 4th block, Bangalore- 560011
E-Mail: info@thegateacademy.com
Ph: 080-61766222
This document discusses dog racing. It takes place from 7:30pm to 10:30pm, for 3 hours total, with the dogs running 10 rounds of 450 meters each round. The document focuses on greyhounds, which are tall and big dogs that can run at speeds of up to 60 km/hour.
The document analyzes 10 different magazine covers and discusses their design elements. It notes that magazine covers typically feature eye-catching mastheads at the top to draw readers in. Covers also use bright colors, graphics, and images of popular artists to attract attention and interest buyers browsing the shelves. Skylines showing additional artists are also used to keep readers engaged even if they are not fans of the main featured artist. Barcodes with pricing are included to make the magazines look professionally produced.
This document summarizes Millennium HealthCare Inc., which provides medical practice management services focused on vascular disorders. It has over 16 million shares outstanding and is developing and managing vascular surgical facilities and cardiovascular practices. Its management team has extensive experience in medical device, cardiovascular, and practice management fields. It plans to expand its facilities and practices to multiple states in 2012 to take advantage of growing demand and reimbursement for vascular procedures.
This document describes a virtual events platform that allows for localization into multiple languages. Key features include allowing attendees to select their preferred language during registration or change it during the event. Event organizers can localize content, surveys, and navigation elements. Currently 12 languages are supported. The benefits are reaching global audiences through a single event and improving comfort for foreign attendees by providing their native language.
This document provides information and guidance for students undertaking a dissertation. It discusses the purposes and objectives of a dissertation, which include developing substantial academic study, personal specialism, and skills in areas like critical analysis, decision-making, and presenting findings. The document outlines the key processes involved like planning, literature review, research, and writing. It provides tips for evaluating sources and information. Overall, the document serves to introduce students to the dissertation process and provide direction on various aspects like developing objectives, reviewing literature, and evaluating information.
The document is the transcript from an earnings conference call held by a company on February 9, 2012 to discuss its second quarter 2012 financial results and outlook. The summary is:
1) The company raised capital through a stock offering to fund development of drug delivery systems and expand its workforce.
2) Revenue declined from the previous year's second quarter due to discontinuing a contract manufacturing business. Research and development expenses increased to develop new drug delivery devices.
3) Looking ahead to 2012, the company expects to finalize commercial supply agreements and gain additional revenues from supplying its drug delivery technologies and devices to customers.
Art Cart is an intergenerational arts legacy project that will connect aging professional artists with teams of graduate students to undertake the preparation and documentation of their creative work, offering both groups an educational experience that will help shape the future of our cultural legacy.
The RCAC's recent study, Above Ground: Information on Artists III: Special Focus New York City Aging Artists, revealed that artists are in many respects a model for society, maintaining strong social networks and an astonishing resilience as they age. Yet 61% of professional visual artists age 62+ have made no preparation for their work after their death; 95% have not archived their work; 97% have no estate plan; 3 out of every 4 artists have no will and 1 in 5 have no documentation of their work at all.
The document contains a single line with the number "LXXVIII", followed by a name "Fanny Dávila Guida" and a class designation "10-B.". In just a few words and numbers, this brief document identifies a person and their class.
This document describes the various reports available from the Profile XT assessment. It outlines 10 main reports: Graph Report, Individual Report, Job Analysis Report, Placement Report, Coaching Report, Job Summary Graph, Job Profile Summary Report, Succession Planning Report, and Candidate Match Report. For each report, it provides a brief overview of the report's purpose and what information it contains. The document also provides guidance on how to interpret key parts of the Placement, Coaching, and Job Profile Summary reports, such as checking the distortion scale and understanding percentage match numbers.
This letter discusses the results of the LateTIME trial, which found no benefit of intracoronary delivery of bone marrow mononuclear cells (BMCs) 2-3 weeks after myocardial infarction. The authors provide several points for consideration:
1) Patient selection is important, and it is unclear why some patients with non-left anterior descending artery lesions were included.
2) A mixed cardiomyopathy could have explained the initial left ventricular dysfunction in some patients.
3) Delivering cells to patients with more severe and persistent left ventricular dysfunction may have shown greater benefit.
4) The number of CD34 cells delivered in this trial was lower than levels found to be efficacious in other studies.
Do you have stories and experiences that can inspire others?
Do you want to have impact on younger generations?
Do you dare to face social-media-savvy audience in Jakarta?
Then grab the spotlight at #PlayMediaTalk
The document provides an investor presentation for Vringo, Inc. It discusses Vringo's mobile social and video platforms, including video ringtones, video remix, facetones, and fan loyalty. It highlights Vringo's partnerships with carriers in multiple countries, growth in subscribers, and future strategic growth drivers through expansion of products and acquisitions. The presentation aims to position Vringo for capitalizing on growing demand in the mobile social and video application industry.
Quick update on the work underway within the Vancouver School Board to develop a contemporary technology platform to support teaching and learning. Presented by S.Lamb, CIO
@see_eye_oh
@vsb_icts
This document discusses hydropower and hydroelectric generation. It provides statistics on the countries with the most dams and hydroelectric generation, including China, the United States, Canada, Brazil, and others. It then covers energy conversion principles in hydropower, explaining how potential energy in water is converted to electricity. Examples are given of large hydroelectric installations like the Three Gorges Dam in China and Grand Coulee Dam in the US. Construction sequences and components of hydroelectric power plants are outlined. The role of hydropower in developing countries is also summarized.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
- Positive top-line results were reported from a Phase 3 trial of Zerenex in Japan comparing Zerenex to Sevelamer Hydrochloride. Zerenex showed non-inferiority to Sevelamer.
- Keryx's partner JT Torii plans to file a marketing application in Japan by March 31, 2013 based on the results.
- Keryx is conducting a Phase 3 trial of Zerenex in the US in 440 patients with end-stage renal disease that is expected to report results in the fourth quarter of 2012.
The document discusses several algorithms for pattern matching in strings:
1) Brute-force algorithm compares the pattern to every substring of the text, running in O(nm) time where n and m are the lengths of the text and pattern.
2) Boyer-Moore algorithm uses heuristics like the last occurrence function to skip comparisons, running faster in O(nm+s) time where s is the alphabet size.
3) Knuth-Morris-Pratt algorithm builds a failure function to determine the maximum shift of the pattern after a mismatch, running optimally in O(n+m) time.
The document discusses the Knuth-Morris-Pratt (KMP) string matching algorithm. It begins by defining the string matching problem and describes the naive solution. It then introduces the KMP algorithm which improves efficiency by not rematching already seen prefixes if a mismatch occurs. This is done by constructing a failure function array that determines how far to shift the pattern on a mismatch. The document provides examples and analyzes the time and space complexity of KMP.
RB-Matcher is a string matching technique that improves upon the Rabin-Karp string matching algorithm. It avoids spurious hits by comparing both the remainders and quotients produced by dividing numbers representing the text and pattern by a prime number. This prevents unnecessary character comparisons between the text and pattern. The RB-Matcher algorithm has a worst-case time complexity of O(nm+1), which is an improvement over the Rabin-Karp algorithm's complexity of O(n-m+1)m. Experimental results on test data show that RB-Matcher has lower time complexity than Rabin-Karp due to eliminating spurious hits.
The document discusses optimization of cooperative spectrum sensing in cognitive radio networks. It introduces cognitive radio and spectrum sensing techniques like energy detection. Cooperative spectrum sensing can improve detection performance but requires communication overhead that increases with cluster size. There is thus an optimal cluster size that maximizes effective throughput by balancing detection benefits and overhead costs. The document outlines previous and current work on improving cooperative sensing through cluster size optimization, optimized fusion methods, and adaptive distributed sensing schemes. Numerical results show the impact of cluster size on throughput for different sensing rules and signal-to-noise ratios.
This document discusses an online EM algorithm and some extensions. It begins by outlining the goals of maximum likelihood estimation, good scaling, processing data incrementally without storage, and simple implementation. It then provides an overview of the topics covered, which include the EM algorithm in exponential families, the limiting EM recursion, the online EM algorithm, using online EM for batch maximum likelihood estimation, and extensions. The document uses a Poisson mixture model as a running example to illustrate the E and M steps of the EM algorithm.
Machine Translation (MT) refers to the use of computers for the task of translating
automatically from one language to another. The differences between languages and
especially the inherent ambiguity of language make MT a very difficult problem. Traditional
approaches to MT have relied on humans supplying linguistic knowledge in the form of rules
to transform text in one language to another. Given the vastness of language, this is a highly
knowledge intensive task. Statistical MT is a radically different approach that automatically
acquires knowledge from large amounts of training data. This knowledge, which is typically
in the form of probabilities of various language features, is used to guide the translation
process. This report provides an overview of MT techniques, and looks in detail at the basic
statistical model.
I am Charles B. I am a Programming Exam Expert at programmingexamhelp.com. I hold a Ph.D. in Programming Texas University, USA. I have been helping students with their exams for the past 9 years. You can hire me to take your exam in Programming.
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Sampling and Reconstruction (Online Learning).pptxHamzaJaved306957
1. Sampling and reconstruction of signals was analyzed using the impulse sampling math model.
2. The analysis showed that a bandlimited signal can be perfectly reconstructed from its samples as long as the sampling rate is at least twice the bandwidth of the signal.
3. If the sampling rate is lower than the minimum required rate, aliasing error occurs where frequency components fold back into the baseband.
The document describes the Knuth-Morris-Pratt (KMP) string matching algorithm. KMP finds all occurrences of a pattern string P in a text string T. It improves on the naive algorithm by not re-checking characters when a mismatch occurs. This is done by precomputing a function h that determines how many characters P can skip ahead while still maintaining the matching prefix. With h, KMP ensures each character is checked at most twice, giving it O(m+n) time complexity where m and n are the lengths of P and T.
This document defines and provides examples of multiplicative functions in number theory. It states that a multiplicative function f(mn) is equal to f(m)f(n) when m and n are relatively prime. Examples given are the Euler totient function φ and the function n2. It also proves that the sum of multiplicative functions and the sum of divisors of a multiplicative function are also multiplicative. Other concepts defined include the Möbius function, Euler phi function, Carmichael conjecture, perfect numbers, and the sum-of-divisors and number-of-divisors functions.
The document discusses how gated recurrent neural networks like LSTMs and GRUs can provide quasi-invariance to time transformations in input data through their gating mechanisms. It proposes a new initialization method called "Chrono initialization" that sets the gate biases depending on the expected range of temporal dependencies in the data. Experiments on synthetic tasks show that LSTMs with Chrono initialization learn long-term dependencies better than standard initialization and are more robust to random time warpings in the inputs.
This summarizes a research paper on LZ-End compression. LZ-End is a variant of Lempel-Ziv (LZ77) compression that forces phrases to end at the end of a previous phrase. This allows arbitrary phrases to be decompressed in optimal time, while achieving compression close to LZ77. The paper introduces the LZ-End parsing and encoding, proves it is coarsely optimal like LZ77, and provides an algorithm to extract arbitrary substrings in optimal time by following phrase boundaries. It also presents a construction algorithm to build the LZ-End parsing.
An Exact Exponential Branch-And-Merge Algorithm For The Single Machine Total ...Joe Andelija
This document summarizes a research paper that proposes a new exact exponential branch-and-merge algorithm for solving the single machine total tardiness scheduling problem. The algorithm improves upon the best known dynamic programming approach that has a time complexity of O*(2n) by avoiding redundant computations through a node merging operation. The branch-and-merge technique decomposes the problem when assigning the longest job to different positions, generating two subproblems to schedule jobs before and after that job. It achieves a time complexity that converges to O*(2n) while keeping polynomial space complexity, improving the state-of-the-art for this NP-hard problem.
This document discusses different pattern recognition algorithms that could be implemented in real-time data sets. It begins by defining pattern recognition and providing examples. It then discusses why pattern recognition is important and lists several applications. The document goes on to describe three main approaches to pattern recognition - statistical, syntactic, and neural pattern recognition - and provides examples for each. It then provides more detailed descriptions and pseudocode for several specific algorithms, including KMP, Boyer-Moore, Rabin-Karp, naive string matching, and brute-force string matching. It concludes by discussing future work improving algorithm complexity and potential applications in biometric identification.
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2. Machine Translation
MT (first demo by IBM on 1954) is:
Commercially interesting (EU spends 1,000,000,000 €/year)
Academically interesting (NLP technologies)
What makes MT hard ?
Word order: Monde entier whole world
Word sense: bank rivière / banque
Idioms: to kick the bucket mourir
Various approaches:
Rule-based MT
Example-based MT (1984): merges what is in memory
Statistical MT (1993)
Source: Wikipedia, John Hutchins, P.Koehn 2
3. Statistical Machine Translation
Uses a parallel corpus
Europarl (European parliament)
Hansard (Canadian parliament)
Vermobil (German-english)
United Nations (used by Google)
Learns
Lexicon: Le monde entier ne parle pas du problème
Alignment:
The whole world is not talking about the problem
Well-formedness:
Advantages (over rule-based, example-based):
good performance,
quick implementation
Can deal with noisy text
3
4. Translation units & alignment ?
Unit = WORD
Seems to be more ready to the
variability
BUT more parameters
Unit = PHRASE
Seems to be less ready to the
variability
BUT less parameters
4
5. Two approaches to SMT
1 1 j
I ^I
{
I J }
Source s J = s ,..., s ,...s J ⇒ target t1 = t1,..., ti ,...t I . Find t 1 = arg max Pr(t1 | s1 )
tI
1
Source-channel translation:
{ }
^I
t 1 = arg max Pr(t1I ). Pr( s1J | t1I )
t1I
Direct maximum entropy translation:
M
exp[∑ λm hm (t1I , s1J )]
Pr(t1I | s1J ) = pλM (t1I | s1J ) = m =1
M
∑ exp[∑ λ
1
h (t '1 , s1J )]
m m
I
I
t '1 m =1
^I ⎧M ⎫
t 1 = arg max ⎨∑ λm hm (t1I , s1J )⎬
t1I ⎩ m =1 ⎭
5
6. Source-channel vs. Maximum-Entropy
Source language text Source language text
Preprocessing Preprocessing
Global search Pr( t1I ) Global search λ1h1 (t1I , s1J )
I ^I ⎧M ⎫
= arg max {Pr(t } t 1 = arg max ⎨∑ λm hm (t1I , s1J )⎬
^
t1 I
) • Pr(t | s )
I J
⎩ m =1 ⎭
1 1 1
t1I t1I
Pr( s1J | t1I ) λM hM (t1I , s1J )
Target language text Target language text
SC approach is one special case of ME one
We will first train the SC, then integrate it in the ME
framework
6
7. Alignment in source-channel approach
Pr( s1J | t1I ) = ∑ Pr( s1J , a | t1I )
a
a : alignment between translation units
P(translation)=P(alignment) x P(lexicon)
Word-to-Word alignment: IJ possible alignments
Source-to-target mapping: Model-1 (can be efficiently trained)
Target-to-source fertility: Model-2 (cannot be efficiently trained)
Training (EM): train Model-1, and use its parameters to initialize the
parameters of Model-2
Phrase-to-Phrase alignment:
Got the Viterbi alignments from Word-to-Word training.
Build consistent pairs of phrase-to-phrase alignment
7
8. The state-of-the-art SMT system
Start with a source-channel system
Train and find the word-to-word alignments
Build phrase-to-phrase alignments and lexicon
Then include the phrase-to-phrase model into a
Maximum Entropy framework
Train the scaling factor lambda using GIS (Generalize Iterative
Scaling)
Add more feature functions
Many language models (trillions of words)
P(s|t) and P(t|s) can be both used (more symmetrical translation)
P(I) (word penalty)
We can add many more features (conventional dictionary,…)
8
9. Search in SMT is inexact
Problem: Search is an NP-hard problem even with
Model-1, mainly due to the need to re-order the
target words we need to approximate the search
Solutions:
A* search/integer programming: not efficient for long
sentence
Greedy search: severe search errors
Beam search with pruning and a heuristic function
Decision = Q(n)+H(n) where Q = past, H = future
Good heuristic function leads to efficient quality/speed
Conclusion: search is still far from good
9
10. Translation evaluation: many metrics
Objective automatic scores: most count word-
matching against a set of references
WER / mWER / PER / mPER / BLEU / NIST
Subjective score (judged by human):
SSER/IER/ISER: meaning, syntax
Adequacy-Fluency:
We need automatic scoring to speed-up
research, but no metric is persuasive enough
Must use many metrics at the same time
10
11. Issues in state-of-the-art SMT techniques
Too much approximation in training and decoding
Decoding implementation for a new model is
expensive since search is heavily dependant on the
model
Phrase segmentation is still not powerful
Phrase reordering is still not powerful
Objective metrics are not highly correlated to
adequacy and fluency
Real challenge for computation:
1012 words for language model
108 words for translation model
106 feature functions
11