The document discusses artificial neural networks and classification using backpropagation, describing neural networks as sets of connected input and output units where each connection has an associated weight. It explains backpropagation as a neural network learning algorithm that trains networks by adjusting weights to correctly predict the class label of input data, and how multi-layer feed-forward neural networks can be used for classification by propagating inputs through hidden layers to generate outputs.
This Presentation covers Data Mining: Classification and Prediction, NEURAL NETWORK REPRESENTATION, NEURAL NETWORK APPLICATION DEVELOPMENT, BENEFITS AND LIMITATIONS OF NEURAL NETWORKS, Neural Networks, Real Estate Appraiser, Kinds of Data Mining Problems, Data Mining Techniques, Learning in ANN, Elements of ANN, Neural Network Architectures Recurrent Neural Networks and ANN Software.
The document discusses artificial neural networks and backpropagation. It provides an overview of backpropagation algorithms, including how they were developed over time, the basic methodology of propagating errors backwards, and typical network architectures. It also gives examples of applying backpropagation to problems like robotics, space robots, handwritten digit recognition, and face recognition.
Decision tree induction \ Decision Tree Algorithm with Example| Data scienceMaryamRehman6
This Decision Tree Algorithm in Machine Learning Presentation will help you understand all the basics of Decision Tree along with what Machine Learning is, what Machine Learning is, what Decision Tree is, the advantages and disadvantages of Decision Tree, how Decision Tree algorithm works with resolved examples, and at the end of the decision Tree use case/demo in Python for loan payment. For both beginners and experts who want to learn Machine Learning Algorithms, this Decision Tree tutorial is perfect.
The document discusses recurrent neural networks (RNNs) and long short-term memory (LSTM) networks. It provides details on the architecture of RNNs including forward and back propagation. LSTMs are described as a type of RNN that can learn long-term dependencies using forget, input and output gates to control the cell state. Examples of applications for RNNs and LSTMs include language modeling, machine translation, speech recognition, and generating image descriptions.
This Presentation covers Data Mining: Classification and Prediction, NEURAL NETWORK REPRESENTATION, NEURAL NETWORK APPLICATION DEVELOPMENT, BENEFITS AND LIMITATIONS OF NEURAL NETWORKS, Neural Networks, Real Estate Appraiser, Kinds of Data Mining Problems, Data Mining Techniques, Learning in ANN, Elements of ANN, Neural Network Architectures Recurrent Neural Networks and ANN Software.
The document discusses artificial neural networks and backpropagation. It provides an overview of backpropagation algorithms, including how they were developed over time, the basic methodology of propagating errors backwards, and typical network architectures. It also gives examples of applying backpropagation to problems like robotics, space robots, handwritten digit recognition, and face recognition.
Decision tree induction \ Decision Tree Algorithm with Example| Data scienceMaryamRehman6
This Decision Tree Algorithm in Machine Learning Presentation will help you understand all the basics of Decision Tree along with what Machine Learning is, what Machine Learning is, what Decision Tree is, the advantages and disadvantages of Decision Tree, how Decision Tree algorithm works with resolved examples, and at the end of the decision Tree use case/demo in Python for loan payment. For both beginners and experts who want to learn Machine Learning Algorithms, this Decision Tree tutorial is perfect.
The document discusses recurrent neural networks (RNNs) and long short-term memory (LSTM) networks. It provides details on the architecture of RNNs including forward and back propagation. LSTMs are described as a type of RNN that can learn long-term dependencies using forget, input and output gates to control the cell state. Examples of applications for RNNs and LSTMs include language modeling, machine translation, speech recognition, and generating image descriptions.
This document provides an overview of multilayer perceptrons (MLPs) and the backpropagation algorithm. It defines MLPs as neural networks with multiple hidden layers that can solve nonlinear problems. The backpropagation algorithm is introduced as a method for training MLPs by propagating error signals backward from the output to inner layers. Key steps include calculating the error at each neuron, determining the gradient to update weights, and using this to minimize overall network error through iterative weight adjustment.
Presentation in Vietnam Japan AI Community in 2019-05-26.
The presentation summarizes what I've learned about Regularization in Deep Learning.
Disclaimer: The presentation is given in a community event, so it wasn't thoroughly reviewed or revised.
Ensemble Learning is a technique that creates multiple models and then combines them to produce improved results.
Ensemble learning usually produces more accurate solutions than a single model would.
The document discusses multilayer neural networks and the backpropagation algorithm. It begins by introducing sigmoid units as differentiable threshold functions that allow gradient descent to be used. It then describes the backpropagation algorithm, which employs gradient descent to minimize error by adjusting weights. Key aspects covered include defining error terms for multiple outputs, deriving the weight update rules, and generalizing to arbitrary acyclic networks. Issues like local minima and representational power are also addressed.
This document discusses evaluating hypotheses and estimating hypothesis accuracy. It provides the following key points:
- The accuracy of a hypothesis estimated from a training set may be different from its true accuracy due to bias and variance. Testing the hypothesis on an independent test set provides an unbiased estimate.
- Given a hypothesis h that makes r errors on a test set of n examples, the sample error r/n provides an unbiased estimate of the true error. The variance of this estimate depends on r and n based on the binomial distribution.
- For large n, the binomial distribution can be approximated by the normal distribution. Confidence intervals for the true error can then be determined based on the sample error and standard deviation
I think this could be useful for those who works in the field of Coputational Intelligence. Give your valuable reviews so that I can progree in my research
Logistic regression in Machine LearningKuppusamy P
Logistic regression is a predictive analysis algorithm that can be used for classification problems. It estimates the probabilities of different classes using the logistic function, which outputs values between 0 and 1. Logistic regression transforms its output using the sigmoid function to return a probability value. It is used for problems like email spam detection, fraud detection, and tumor classification. The independent variables should be independent of each other and the dependent variable must be categorical. Gradient descent is used to minimize the loss function and optimize the model parameters during training.
Neural networks are mathematical models inspired by biological neural networks. They are useful for pattern recognition and data classification through a learning process of adjusting synaptic connections between neurons. A neural network maps input nodes to output nodes through an arbitrary number of hidden nodes. It is trained by presenting examples to adjust weights using methods like backpropagation to minimize error between actual and predicted outputs. Neural networks have advantages like noise tolerance and not requiring assumptions about data distributions. They have applications in finance, marketing, and other fields, though designing optimal network topology can be challenging.
This document provides an overview of Chapter 14 on probabilistic reasoning and Bayesian networks from an artificial intelligence textbook. It introduces Bayesian networks as a way to represent knowledge over uncertain domains using directed graphs. Each node corresponds to a variable and arrows represent conditional dependencies between variables. The document explains how Bayesian networks can encode a joint probability distribution and represent conditional independence relationships. It also discusses techniques for efficiently representing conditional distributions in Bayesian networks, including noisy logical relationships and continuous variables. The chapter covers exact and approximate inference methods for Bayesian networks.
The document discusses sequential covering algorithms for learning rule sets from data. It describes how sequential covering algorithms work by iteratively learning one rule at a time to cover examples, removing covered examples, and repeating until all examples are covered. It also discusses variations of this approach, including using a general-to-specific beam search to learn each rule and alternatives like the AQ algorithm that learn rules to cover specific target values. Finally, it describes how first-order logic can be used to learn more general rules than propositional logic by representing relationships between attributes.
An autoencoder is an artificial neural network that is trained to copy its input to its output. It consists of an encoder that compresses the input into a lower-dimensional latent-space encoding, and a decoder that reconstructs the output from this encoding. Autoencoders are useful for dimensionality reduction, feature learning, and generative modeling. When constrained by limiting the latent space or adding noise, autoencoders are forced to learn efficient representations of the input data. For example, a linear autoencoder trained with mean squared error performs principal component analysis.
This document discusses perceptron and sigmoid neurons. It defines perceptrons as computational models that take real-valued inputs, aggregate them using weighted sums, and output binary values based on a threshold. Perceptrons are linear classifiers. Sigmoid neurons are then introduced to address limitations of perceptrons by having real-valued inputs and outputs between 0-1. Multi-layer perceptrons are described as neural networks with multiple hidden layers that use backpropagation to train the network weights to minimize error between predicted and actual outputs.
The document provides an overview of perceptrons and neural networks. It discusses how neural networks are modeled after the human brain and consist of interconnected artificial neurons. The key aspects covered include the McCulloch-Pitts neuron model, Rosenblatt's perceptron, different types of learning (supervised, unsupervised, reinforcement), the backpropagation algorithm, and applications of neural networks such as pattern recognition and machine translation.
The document discusses different knowledge representation schemes used in artificial intelligence systems. It describes semantic networks, frames, propositional logic, first-order predicate logic, and rule-based systems. For each technique, it provides facts about how knowledge is represented and examples to illustrate their use. The goal of knowledge representation is to encode knowledge in a way that allows inferencing and learning of new knowledge from the facts stored in the knowledge base.
This document provides an outline for a course on neural networks and fuzzy systems. The course is divided into two parts, with the first 11 weeks covering neural networks topics like multi-layer feedforward networks, backpropagation, and gradient descent. The document explains that multi-layer networks are needed to solve nonlinear problems by dividing the problem space into smaller linear regions. It also provides notation for multi-layer networks and shows how backpropagation works to calculate weight updates for each layer.
This document discusses decision trees and the ID3 algorithm for generating decision trees. It explains that a decision tree classifies examples based on their attributes through a series of questions or rules. The ID3 algorithm uses information gain to choose the most informative attributes to split on at each node, resulting in a tree that maximizes classification accuracy. Some drawbacks of decision trees are that they can only handle nominal attributes and may not be robust to noisy data.
Deep Feed Forward Neural Networks and RegularizationYan Xu
Deep feedforward networks use regularization techniques like L2/L1 regularization, dropout, batch normalization, and early stopping to reduce overfitting. They employ techniques like data augmentation to increase the size and variability of training datasets. Backpropagation allows information about the loss to flow backward through the network to efficiently compute gradients and update weights with gradient descent.
This document provides an overview of artificial neural networks (ANNs). It discusses how ANNs are inspired by biological neural networks and are composed of interconnected nodes that mimic neurons. ANNs use a learning process to update synaptic connection weights between nodes based on training data to perform tasks like pattern recognition. The document outlines the history of ANNs and covers popular applications. It also describes common ANN properties, architectures, and the backpropagation algorithm used for training multilayer networks.
This document provides an overview of artificial neural networks (ANNs). It discusses how ANNs are inspired by biological neural networks and are composed of interconnected nodes that mimic neurons. ANNs use a learning process to update synaptic connection weights between nodes based on training data to perform tasks like pattern recognition. The document outlines the history of ANNs and covers popular applications. It also describes common ANN properties, architectures, and the backpropagation algorithm used for training multilayer networks.
This document provides an overview of multilayer perceptrons (MLPs) and the backpropagation algorithm. It defines MLPs as neural networks with multiple hidden layers that can solve nonlinear problems. The backpropagation algorithm is introduced as a method for training MLPs by propagating error signals backward from the output to inner layers. Key steps include calculating the error at each neuron, determining the gradient to update weights, and using this to minimize overall network error through iterative weight adjustment.
Presentation in Vietnam Japan AI Community in 2019-05-26.
The presentation summarizes what I've learned about Regularization in Deep Learning.
Disclaimer: The presentation is given in a community event, so it wasn't thoroughly reviewed or revised.
Ensemble Learning is a technique that creates multiple models and then combines them to produce improved results.
Ensemble learning usually produces more accurate solutions than a single model would.
The document discusses multilayer neural networks and the backpropagation algorithm. It begins by introducing sigmoid units as differentiable threshold functions that allow gradient descent to be used. It then describes the backpropagation algorithm, which employs gradient descent to minimize error by adjusting weights. Key aspects covered include defining error terms for multiple outputs, deriving the weight update rules, and generalizing to arbitrary acyclic networks. Issues like local minima and representational power are also addressed.
This document discusses evaluating hypotheses and estimating hypothesis accuracy. It provides the following key points:
- The accuracy of a hypothesis estimated from a training set may be different from its true accuracy due to bias and variance. Testing the hypothesis on an independent test set provides an unbiased estimate.
- Given a hypothesis h that makes r errors on a test set of n examples, the sample error r/n provides an unbiased estimate of the true error. The variance of this estimate depends on r and n based on the binomial distribution.
- For large n, the binomial distribution can be approximated by the normal distribution. Confidence intervals for the true error can then be determined based on the sample error and standard deviation
I think this could be useful for those who works in the field of Coputational Intelligence. Give your valuable reviews so that I can progree in my research
Logistic regression in Machine LearningKuppusamy P
Logistic regression is a predictive analysis algorithm that can be used for classification problems. It estimates the probabilities of different classes using the logistic function, which outputs values between 0 and 1. Logistic regression transforms its output using the sigmoid function to return a probability value. It is used for problems like email spam detection, fraud detection, and tumor classification. The independent variables should be independent of each other and the dependent variable must be categorical. Gradient descent is used to minimize the loss function and optimize the model parameters during training.
Neural networks are mathematical models inspired by biological neural networks. They are useful for pattern recognition and data classification through a learning process of adjusting synaptic connections between neurons. A neural network maps input nodes to output nodes through an arbitrary number of hidden nodes. It is trained by presenting examples to adjust weights using methods like backpropagation to minimize error between actual and predicted outputs. Neural networks have advantages like noise tolerance and not requiring assumptions about data distributions. They have applications in finance, marketing, and other fields, though designing optimal network topology can be challenging.
This document provides an overview of Chapter 14 on probabilistic reasoning and Bayesian networks from an artificial intelligence textbook. It introduces Bayesian networks as a way to represent knowledge over uncertain domains using directed graphs. Each node corresponds to a variable and arrows represent conditional dependencies between variables. The document explains how Bayesian networks can encode a joint probability distribution and represent conditional independence relationships. It also discusses techniques for efficiently representing conditional distributions in Bayesian networks, including noisy logical relationships and continuous variables. The chapter covers exact and approximate inference methods for Bayesian networks.
The document discusses sequential covering algorithms for learning rule sets from data. It describes how sequential covering algorithms work by iteratively learning one rule at a time to cover examples, removing covered examples, and repeating until all examples are covered. It also discusses variations of this approach, including using a general-to-specific beam search to learn each rule and alternatives like the AQ algorithm that learn rules to cover specific target values. Finally, it describes how first-order logic can be used to learn more general rules than propositional logic by representing relationships between attributes.
An autoencoder is an artificial neural network that is trained to copy its input to its output. It consists of an encoder that compresses the input into a lower-dimensional latent-space encoding, and a decoder that reconstructs the output from this encoding. Autoencoders are useful for dimensionality reduction, feature learning, and generative modeling. When constrained by limiting the latent space or adding noise, autoencoders are forced to learn efficient representations of the input data. For example, a linear autoencoder trained with mean squared error performs principal component analysis.
This document discusses perceptron and sigmoid neurons. It defines perceptrons as computational models that take real-valued inputs, aggregate them using weighted sums, and output binary values based on a threshold. Perceptrons are linear classifiers. Sigmoid neurons are then introduced to address limitations of perceptrons by having real-valued inputs and outputs between 0-1. Multi-layer perceptrons are described as neural networks with multiple hidden layers that use backpropagation to train the network weights to minimize error between predicted and actual outputs.
The document provides an overview of perceptrons and neural networks. It discusses how neural networks are modeled after the human brain and consist of interconnected artificial neurons. The key aspects covered include the McCulloch-Pitts neuron model, Rosenblatt's perceptron, different types of learning (supervised, unsupervised, reinforcement), the backpropagation algorithm, and applications of neural networks such as pattern recognition and machine translation.
The document discusses different knowledge representation schemes used in artificial intelligence systems. It describes semantic networks, frames, propositional logic, first-order predicate logic, and rule-based systems. For each technique, it provides facts about how knowledge is represented and examples to illustrate their use. The goal of knowledge representation is to encode knowledge in a way that allows inferencing and learning of new knowledge from the facts stored in the knowledge base.
This document provides an outline for a course on neural networks and fuzzy systems. The course is divided into two parts, with the first 11 weeks covering neural networks topics like multi-layer feedforward networks, backpropagation, and gradient descent. The document explains that multi-layer networks are needed to solve nonlinear problems by dividing the problem space into smaller linear regions. It also provides notation for multi-layer networks and shows how backpropagation works to calculate weight updates for each layer.
This document discusses decision trees and the ID3 algorithm for generating decision trees. It explains that a decision tree classifies examples based on their attributes through a series of questions or rules. The ID3 algorithm uses information gain to choose the most informative attributes to split on at each node, resulting in a tree that maximizes classification accuracy. Some drawbacks of decision trees are that they can only handle nominal attributes and may not be robust to noisy data.
Deep Feed Forward Neural Networks and RegularizationYan Xu
Deep feedforward networks use regularization techniques like L2/L1 regularization, dropout, batch normalization, and early stopping to reduce overfitting. They employ techniques like data augmentation to increase the size and variability of training datasets. Backpropagation allows information about the loss to flow backward through the network to efficiently compute gradients and update weights with gradient descent.
This document provides an overview of artificial neural networks (ANNs). It discusses how ANNs are inspired by biological neural networks and are composed of interconnected nodes that mimic neurons. ANNs use a learning process to update synaptic connection weights between nodes based on training data to perform tasks like pattern recognition. The document outlines the history of ANNs and covers popular applications. It also describes common ANN properties, architectures, and the backpropagation algorithm used for training multilayer networks.
This document provides an overview of artificial neural networks (ANNs). It discusses how ANNs are inspired by biological neural networks and are composed of interconnected nodes that mimic neurons. ANNs use a learning process to update synaptic connection weights between nodes based on training data to perform tasks like pattern recognition. The document outlines the history of ANNs and covers popular applications. It also describes common ANN properties, architectures, and the backpropagation algorithm used for training multilayer networks.
The document describes multilayer neural networks and their use for classification problems. It discusses how neural networks can handle continuous-valued inputs and outputs unlike decision trees. Neural networks are inherently parallel and can be sped up through parallelization techniques. The document then provides details on the basic components of neural networks, including neurons, weights, biases, and activation functions. It also describes common network architectures like feedforward networks and discusses backpropagation for training networks.
The document describes a multilayer neural network presentation. It discusses key concepts of neural networks including their architecture, types of neural networks, and backpropagation. The key points are:
1) Neural networks are composed of interconnected processing units (neurons) that can learn relationships in data through training. They are inspired by biological neural systems.
2) Common network architectures include multilayer perceptrons and recurrent networks. Backpropagation is commonly used to train multilayer feedforward networks by propagating errors backwards.
3) Neural networks have advantages like the ability to model complex nonlinear relationships, adapt to new data, and extract patterns from imperfect data. They are well-suited for problems like classification.
ANNs have been widely used in various domains for: Pattern recognition Funct...vijaym148
The document discusses artificial neural networks (ANNs), which are computational models inspired by the human brain. ANNs consist of interconnected nodes that mimic neurons in the brain. Knowledge is stored in the synaptic connections between neurons. ANNs can be used for pattern recognition, function approximation, and associative memory. Backpropagation is an important algorithm for training multilayer ANNs by adjusting the synaptic weights based on examples. ANNs have been applied to problems like image classification, speech recognition, and financial prediction.
The document discusses neural networks and their use for pattern detection and machine learning. It describes how neural networks are modeled after the human nervous system and consist of connected input/output units with associated weights. The key points covered include:
- Neural networks can build highly accurate predictive models by training on large datasets.
- Backpropagation is a common neural network learning algorithm that adjusts weights to predict the correct class label of inputs.
- Neural networks have strengths like tolerance to noisy data and ability to classify untrained patterns, but also weaknesses like long training times and lack of interpretability.
Neural networks can be biological models of the brain or artificial models created through software and hardware. The human brain consists of interconnected neurons that transmit signals through connections called synapses. Artificial neural networks aim to mimic this structure using simple processing units called nodes that are connected by weighted links. A feed-forward neural network passes information in one direction from input to output nodes through hidden layers. Backpropagation is a common supervised learning method that uses gradient descent to minimize error by calculating error terms and adjusting weights between layers in the network backwards from output to input. Neural networks have been applied successfully to problems like speech recognition, character recognition, and autonomous vehicle navigation.
An Artificial Neural Network (ANN) is a computational model inspired by the structure and functioning of the human brain's neural networks. It consists of interconnected nodes, often referred to as neurons or units, organized in layers. These layers typically include an input layer, one or more hidden layers, and an output layer.
The document provides an overview of backpropagation, a common algorithm used to train multi-layer neural networks. It discusses:
- How backpropagation works by calculating error terms for output nodes and propagating these errors back through the network to adjust weights.
- The stages of feedforward activation and backpropagation of errors to update weights.
- Options like initial random weights, number of training cycles and hidden nodes.
- An example of using backpropagation to train a network to learn the XOR function over multiple training passes of forward passing and backward error propagation and weight updating.
Chapter 9 of the document discusses advanced classification methods including Bayesian belief networks, classification using backpropagation neural networks, support vector machines, classification with frequent patterns, lazy learning, and other techniques. It describes how these methods work, including how Bayesian networks are constructed, how backpropagation trains neural networks, how support vector machines find optimal separating hyperplanes, and considerations around efficiency and interpretability. The chapter also covers mathematical mappings of classification problems and discriminative versus generative classifiers.
Chapter 9 of the book discusses advanced classification methods including Bayesian belief networks, classification using backpropagation neural networks, support vector machines, frequent pattern-based classification, lazy learning, and other techniques. It describes how these methods work, including how to construct Bayesian networks, train neural networks using backpropagation, find optimal separating hyperplanes with support vector machines, and more. The chapter also covers topics like network topologies, training scenarios, efficiency and interpretability of different methods.
This document discusses neural networks and multilayer feedforward neural network architectures. It describes how multilayer networks can solve nonlinear classification problems using hidden layers. The backpropagation algorithm is introduced as a way to train these networks by propagating error backwards from the output to adjust weights. The architecture of a neural network is explained, including input, hidden, and output nodes. Backpropagation is then described in more detail through its training process of forward passing input, calculating error at the output, and propagating this error backwards to update weights. Examples of backpropagation and its applications are also provided.
Web Spam Classification Using Supervised Artificial Neural Network Algorithmsaciijournal
Due to the rapid growth in technology employed by the spammers, there is a need of classifiers that are
more efficient, generic and highly adaptive. Neural Network based technologies have high ability of
adaption as well as generalization. As per our knowledge, very little work has been done in this field using
neural network. We present this paper to fill this gap. This paper evaluates performance of three supervised
learning algorithms of artificial neural network by creating classifiers for the complex problem of latest
web spam pattern classification. These algorithms are Conjugate Gradient algorithm, Resilient Backpropagation learning, and Levenberg-Marquardt algorithm.
Web spam classification using supervised artificial neural network algorithmsaciijournal
Due to the rapid growth in technology employed by the spammers, there is a need of classifiers that are more efficient, generic and highly adaptive. Neural Network based technologies have high ability of adaption as well as generalization. As per our knowledge, very little work has been done in this field using neural network. We present this paper to fill this gap. This paper evaluates performance of three supervised learning algorithms of artificial neural network by creating classifiers for the complex problem of latest web spam pattern classification. These algorithms are Conjugate Gradient algorithm, Resilient Backpropagation learning, and Levenberg-Marquardt algorithm.
The document discusses different types of machine learning paradigms including supervised learning, unsupervised learning, and reinforcement learning. It then provides details on artificial neural networks, describing them as consisting of simple processing units that communicate through weighted connections, similar to neurons in the human brain. The document outlines key aspects of artificial neural networks like processing units, connections between units, propagation rules, and learning methods.
This document provides an introduction to artificial neural networks. It discusses biological neurons and how artificial neurons are modeled. The key components of a neural network including the network architecture, learning approaches, and the backpropagation algorithm for supervised learning are described. Applications and advantages of neural networks are also mentioned. Neural networks are modeled after the human brain and learn by modifying connection weights between nodes based on examples.
This chapter discusses advanced classification methods, including Bayesian belief networks, classification using backpropagation neural networks, support vector machines (SVM), and lazy learners. It describes Bayesian belief networks as probabilistic graphical models that represent conditional dependencies between variables. Backpropagation neural networks are introduced as a way to perform nonlinear regression to approximate functions through adjusting weights in a multi-layer feedforward network. SVM is covered as a method that transforms data into a higher dimensional space to find an optimal separating hyperplane, using support vectors.
Character Recognition using Artificial Neural NetworksJaison Sabu
Mini Project, Computer Science Department, College of Engineering Chengannur 2003-2007, Affiliated to Cochin University of Science and Technology (CUSAT), Kerala, India
The document discusses backtracking algorithms. It begins by defining backtracking as a methodical way to try different sequences of decisions to solve a problem until a solution is found. It then provides examples of backtracking for finding a maze path and coloring a map. The key aspects of a backtracking algorithm are that it uses depth-first search to recursively explore choices, pruning paths that do not lead to solutions.
The document discusses various backtracking algorithms and problems. It begins with an overview of backtracking as a general algorithm design technique for problems that involve traversing decision trees and exploring partial solutions. It then provides examples of specific problems that can be solved using backtracking, including the N-Queens problem, map coloring problem, and Hamiltonian circuits problem. It also discusses common terminology and concepts in backtracking algorithms like state space trees, pruning nonpromising nodes, and backtracking when partial solutions are determined to not lead to complete solutions.
The document discusses the divide and conquer algorithm design strategy. It begins by explaining the general concept of divide and conquer, which involves splitting a problem into subproblems, solving the subproblems, and combining the solutions. It then provides pseudocode for a generic divide and conquer algorithm. Finally, it gives examples of divide and conquer algorithms like quicksort, binary search, and matrix multiplication.
This document discusses randomized data structures and algorithms. It begins by motivating randomized data structures as a way to transform average case runtimes into expected runtimes that are not dependent on specific inputs. It then provides examples of randomized data structures like treaps and randomized skip lists that provide efficient operations like insertion, deletion, and search in expected logarithmic time. It also discusses how randomization can be applied in algorithms like primality testing.
This document discusses randomized data structures and algorithms. It begins by motivating randomized data structures by noting that some data structures like binary search trees have average case performance but worst case inputs. Randomizing the data structure removes dependency on inputs and provides expected case performance. The document then discusses treaps and randomized skip lists as examples of randomized data structures that provide efficient expected case performance for operations like insertion, deletion, and search. It also covers topics like randomized number generation, primality testing, and how randomization can transform average case runtimes into expected case runtimes.
Skip lists are a data structure for implementing dictionaries. They consist of multiple sorted lists, with the top list containing all elements and lower lists being subsequences. Searching works by dropping down lists until finding the target element or determining it is absent. Insertion and deletion use a randomized algorithm adding/removing elements from the appropriate lists. Analysis shows the expected space is O(n) and search, insertion and deletion times are O(log n), with these bounds also holding with high probability. Skip lists provide fast, simple dictionary implementation in practice.
Dynamic programming is an algorithm design paradigm that can be applied to problems exhibiting optimal substructure and overlapping subproblems. It works by breaking down a problem into subproblems and storing the results of already solved subproblems, rather than recomputing them multiple times. This allows for an efficient bottom-up approach. Examples where dynamic programming can be applied include the matrix chain multiplication problem, the 0-1 knapsack problem, and finding the longest common subsequence between two strings.
Dynamic programming is a technique for solving problems with overlapping subproblems and optimal substructure. It works by breaking problems down into smaller subproblems and storing the results in a table to avoid recomputing them. Examples where it can be applied include the knapsack problem, longest common subsequence, and computing Fibonacci numbers efficiently through bottom-up iteration rather than top-down recursion. The technique involves setting up recurrences relating larger instances to smaller ones, solving the smallest instances, and building up the full solution using the stored results.
This document summarizes a talk on dynamic graph algorithms. It begins with an introduction to dynamic graph algorithms, which involve maintaining a graph structure and answering queries efficiently as the graph undergoes a sequence of edge insertions and deletions. It then discusses several examples of fully dynamic algorithms for problems like connectivity, minimum spanning trees, and graph spanners. A key data structure introduced is the Euler tour tree, which represents a dynamic tree as a one-dimensional structure to support efficient updates and queries. The document concludes by outlining a fully dynamic randomized algorithm for maintaining connectivity under edge updates with polylogarithmic update time, using a hierarchical approach with multiple levels of edge partitions and ET trees.
This document discusses divide-and-conquer algorithms and their time complexities. It begins with examples of finding the maximum of a set and binary search. It then presents the general steps of a divide-and-conquer algorithm and analyzes time complexity. Several algorithms are discussed including quicksort, merge sort, 2D maxima finding, closest pair problem, convex hull problem, and matrix multiplication. Strategies like divide, conquer, and merge are used to solve problems recursively in fewer comparisons than brute force methods. Many algorithms have a time complexity of O(n log n).
This document discusses the merge sort algorithm for sorting a sequence of numbers. It begins by introducing the divide and conquer approach, which merge sort uses. It then provides an example of how merge sort works, dividing the sequence into halves, sorting the halves recursively, and then merging the sorted halves together. The document proceeds to provide pseudocode for the merge sort and merge algorithms. It analyzes the running time of merge sort using recursion trees, determining that it runs in O(n log n) time. Finally, it covers techniques for solving recurrence relations that arise in algorithms like divide and conquer approaches.
This document discusses divide-and-conquer algorithms and their time complexities. It begins with examples of finding the maximum of a set and binary search. It then presents the general steps of a divide-and-conquer algorithm and analyzes time complexity. Several algorithms are discussed including quicksort, merge sort, 2D maxima finding, closest pair problem, convex hull problem, and matrix multiplication. Strategies like divide, conquer, and merge are used to solve problems recursively in fewer comparisons than brute force methods. Many algorithms have a time complexity of O(n log n).
The document discusses greedy algorithms and provides examples of problems that can be solved using greedy techniques. It introduces the coin changing problem and activity selection problem. For activity selection, it demonstrates that a greedy approach of always selecting the activity with the earliest finish time results in an optimal solution. It provides pseudo-code for a greedy algorithm and proves that the greedy solution is optimal for the activity selection problem by showing there is always an optimal solution that makes the greedy choice and combining the greedy choice with the optimal solution to the remaining subproblem yields an optimal solution to the original problem.
The document discusses various optimization problems that can be solved using the greedy method. It begins by explaining that the greedy method involves making locally optimal choices at each step that combine to produce a globally optimal solution. Several examples are then provided to illustrate problems that can and cannot be solved with the greedy method. These include shortest path problems, minimum spanning trees, activity-on-edge networks, and Huffman coding. Specific greedy algorithms like Kruskal's algorithm, Prim's algorithm, and Dijkstra's algorithm are also covered. The document concludes by noting that the greedy method can only be applied to solve a small number of optimization problems.
This document discusses greedy algorithms and provides examples of their use. It begins by defining characteristics of greedy algorithms, such as making locally optimal choices that reduce a problem into smaller subproblems. The document then covers designing greedy algorithms, proving their optimality, and analyzing examples like the fractional knapsack problem and minimum spanning tree algorithms. Specific greedy algorithms covered in more depth include Kruskal's and Prim's minimum spanning tree algorithms and Huffman coding.
The document outlines various data structures and algorithms for implementing dictionaries and hash tables, including:
- Separate chaining, which handles collisions by storing elements that hash to the same value in a linked list. Find, insert, and delete take average time of O(1).
- Open addressing techniques like linear probing and quadratic probing, which handle collisions by probing to alternate locations until an empty slot is found. These have faster search but slower inserts and deletes.
- Double hashing, which uses a second hash function to determine probe distances when collisions occur, reducing clustering compared to linear probing.
This document discusses hashing and hash tables. It begins by introducing hash tables and describing how hashing works by mapping keys to array indices using a hash function to allow for fast insertion, deletion and search operations in O(1) average time. However, hash tables do not support ordering of elements efficiently. The document then discusses issues with hash functions such as collisions when different keys map to the same index. It describes techniques for collision resolution including separate chaining, where each index points to a linked list, and open addressing techniques like linear probing, quadratic probing and double hashing that resolve collisions by probing alternate indices in the array.
This document summarizes key points about extendible hashing and discusses its use for a spelling dictionary case study. Extendible hashing is a hashing technique that optimizes disk accesses for huge datasets by storing hash buckets in disk blocks. It uses a directory to hash to the correct bucket. The document explains how to insert keys, split buckets, and rehash the table. It also discusses solutions for the spelling dictionary case study, comparing storage and time efficiency of sorted arrays, open hashing, and closed hashing with linear probing.
This document discusses extendible hashing, which is a hashing technique for dynamic files that allows efficient insertion and deletion of records. It works by using a directory to map hash values to buckets, and dynamically expanding the directory size and number of buckets as needed to accommodate new records. When a bucket overflows, it is split into two buckets, and the directory is expanded to distinguish them. The directory size can also be contracted when buckets can be combined due to deletions. Alternative approaches like dynamic hashing and linear hashing that address the same problem of dynamic files are also overviewed.
The document discusses searching data structures like binary search trees and linked lists. It provides pseudocode for iterative searching algorithms on both ordered and unordered linked lists. The algorithms traverse the list by iterating through each node until the target value is found or the end is reached. For ordered lists, searching can stop early if the current node value is greater than the target. Tracing examples are provided to demonstrate searching for a value in sample linked lists.
The Science of Learning: implications for modern teachingDerek Wenmoth
Keynote presentation to the Educational Leaders hui Kōkiritia Marautanga held in Auckland on 26 June 2024. Provides a high level overview of the history and development of the science of learning, and implications for the design of learning in our modern schools and classrooms.
8+8+8 Rule Of Time Management For Better ProductivityRuchiRathor2
This is a great way to be more productive but a few things to
Keep in mind:
- The 8+8+8 rule offers a general guideline. You may need to adjust the schedule depending on your individual needs and commitments.
- Some days may require more work or less sleep, demanding flexibility in your approach.
- The key is to be mindful of your time allocation and strive for a healthy balance across the three categories.
How to Download & Install Module From the Odoo App Store in Odoo 17Celine George
Custom modules offer the flexibility to extend Odoo's capabilities, address unique requirements, and optimize workflows to align seamlessly with your organization's processes. By leveraging custom modules, businesses can unlock greater efficiency, productivity, and innovation, empowering them to stay competitive in today's dynamic market landscape. In this tutorial, we'll guide you step by step on how to easily download and install modules from the Odoo App Store.
Get Success with the Latest UiPath UIPATH-ADPV1 Exam Dumps (V11.02) 2024yarusun
Are you worried about your preparation for the UiPath Power Platform Functional Consultant Certification Exam? You can come to DumpsBase to download the latest UiPath UIPATH-ADPV1 exam dumps (V11.02) to evaluate your preparation for the UIPATH-ADPV1 exam with the PDF format and testing engine software. The latest UiPath UIPATH-ADPV1 exam questions and answers go over every subject on the exam so you can easily understand them. You won't need to worry about passing the UIPATH-ADPV1 exam if you master all of these UiPath UIPATH-ADPV1 dumps (V11.02) of DumpsBase. #UIPATH-ADPV1 Dumps #UIPATH-ADPV1 #UIPATH-ADPV1 Exam Dumps
Creativity for Innovation and SpeechmakingMattVassar1
Tapping into the creative side of your brain to come up with truly innovative approaches. These strategies are based on original research from Stanford University lecturer Matt Vassar, where he discusses how you can use them to come up with truly innovative solutions, regardless of whether you're using to come up with a creative and memorable angle for a business pitch--or if you're coming up with business or technical innovations.
Cross-Cultural Leadership and CommunicationMattVassar1
Business is done in many different ways across the world. How you connect with colleagues and communicate feedback constructively differs tremendously depending on where a person comes from. Drawing on the culture map from the cultural anthropologist, Erin Meyer, this class discusses how best to manage effectively across the invisible lines of culture.
How to Create User Notification in Odoo 17Celine George
This slide will represent how to create user notification in Odoo 17. Odoo allows us to create and send custom notifications on some events or actions. We have different types of notification such as sticky notification, rainbow man effect, alert and raise exception warning or validation.
2. Artificial Neural Networks
A neural network: A set of connected input/output units where
each connection has a weight associated with it
Computer Programs
Pattern detection and machine learning algorithms
Build predictive models from large databases
Modeled on human nervous system
Offshoot of AI
McCulloch and Pitt
Originally targeted
Image Understanding, Human Learning, Computer Speech
2
3. Features
Highly accurate predictive models for a large number of
different types of problems
Ease of use and deployment – poor
Connection between nodes
Number of units
Training level
Learning Capability
Model is built one record at a time
3
7. 7
Classification by Backpropagation
Backpropagation: A neural network learning algorithm
Started by psychologists and neurobiologists to develop and
test computational analogues of neurons
During the learning phase, the network learns by adjusting
the weights so as to be able to predict the correct class label
of the input tuples
Also referred to as connectionist learning due to the
connections between units
8. 8
Neural Network as a Classifier
Weakness
Long training time
Require a number of parameters typically best determined empirically, e.g.,
the network topology or “structure."
Poor interpretability: Difficult to interpret the symbolic meaning behind the
learned weights and of “hidden units" in the network
Strength
High tolerance to noisy data
Ability to classify untrained patterns
Well-suited for continuous-valued inputs and outputs
Successful on a wide array of real-world data
Algorithms are inherently parallel
Techniques have recently been developed for the extraction of rules from
trained neural networks
9. 9
A Neuron
The n-dimensional input vector x is mapped into variable y by
means of the scalar product and a nonlinear function mapping
µk-
f
weighted
sum
Input
vector x
output y
Activation
function
weight
vector w
∑
w0
w1
wn
x0
x1
xn
• Identity Function
• Binary Step
function
• Sigmoid function
• Bipolar Sigmoid
function
10. 10
A Multi-Layer Feed-Forward Neural Network
Output layer
Input layer
Hidden
layer
Output vector
Input vector: X
wij
11. 11
Multi-Layer Neural Network
The inputs to the network correspond to the attributes measured for
each training tuple
Inputs are fed simultaneously into the units making up the input layer
They are then weighted and fed simultaneously to a hidden layer
The number of hidden layers is arbitrary, although usually only one
The weighted outputs of the last hidden layer are input to units making
up the output layer, which emits the network's prediction
The network is feed-forward in that none of the weights cycles back to
an input unit or to an output unit of a previous layer
12. 12
Defining a Network Topology
First decide the network topology: # of units in the input layer, # of
hidden layers (if > 1), # of units in each hidden layer, and # of units in the
output layer
Normalizing the input values for each attribute measured in the training
tuples to [0.0—1.0]
One input unit per domain value, each initialized to 0
Output, if for classification and more than two classes, one output unit per
class is used
Once a network has been trained and its accuracy is unacceptable,
repeat the training process with a different network topology or a different
set of initial weights
13. 13
Backpropagation
Iteratively process a set of training tuples & compare the network's
prediction with the actual known target value
For each training tuple, the weights are modified to minimize the mean
squared error between the network's prediction and the actual target value
Modifications are made in the “backwards” direction: from the output
layer, through each hidden layer down to the first hidden layer, hence
“backpropagation”
Steps
Initialize weights (to small random #s) and biases in the network
Propagate the inputs forward (by applying activation function)
Backpropagate the error (by updating weights and biases)
Terminating condition (when error is very small, etc.)
15. 15
A Multi-Layer Feed-Forward Neural Network
Output layer
Input layer
Hidden layer
Output vector
Input vector: X
wij ∑ +=
i
jiijj OwI θ
jIj
e
O −
+
=
1
1
))(1( jjjjj OTOOErr −−=
jk
k
kjjj wErrOOErr ∑−= )1(
ijijij OErrlww )(+=
jjj Errl)(+=θθ
16. 16
Backpropagation Algorithm
Updation of weights and biases
Case Updating
Epoch Updating
Terminating condition
Weight changes are below threshold
Error rate / Misclassification rate is small
Number of epochs
Efficiency of Backpropagation
O(|D| x w) – for each epoch
w – number of weights
19. 19
Backpropagation and Interpretability
Rule extraction from networks: network pruning
Simplify the network structure by removing weighted links that have
the least effect on the trained network
Then perform link, unit, or activation value clustering
The set of input and activation values are studied to derive rules
describing the relationship between the input and hidden unit layers
Sensitivity analysis: assess the impact that a given input variable
has on a network output. The knowledge gained from this analysis
can be represented in rules
雅虎竞拍
煤炉代买
paypay商城
乐天二手
日本亚马逊
乐天新品
ZOZOTOWN
