인공 신경망

수학노트
(Neural network에서 넘어옴)
둘러보기로 가기 검색하러 가기

개요

  • chain rule
  • gradient descent
  • neural network architectures
  • backpropagation

memo


노트

  • Artificial neural networks (ANN) are a buzzword in machine learning right now — both for the technical expert and the everyday user.[1]
  • Today, ANNs are growing in popularity due to the increased amount of data and computing power available.[1]
  • The input layer represents the data that we feed the ANN.[1]
  • ANNs are used in not only cutting edge machine learning applications, but in situations and applications that have been around for decades.[1]
  • An ANN with the name of MADALINE was actually the first one ever applied to a real world problem back in 1959.[1]
  • For this application, the ANN must be trained to accurately understand what people with different voices and accents are saying.[1]
  • Today, there are multiple programs that can build out ANNs for you.[1]
  • ANNs depend highly on activation functions, which allow them to follow a non-linear model and learn data very quickly.[1]
  • A deep understanding of these concepts is needed to build and implement an ANN.[1]
  • A typical artificial neural network will likely only have two or three hidden layers of nodes.[2]
  • Artificial neural networks don’t use task-specific rules or linear reasoning.[2]
  • So, the ANN gets lots of input along with the answers it should come up with.[2]
  • Asking ‘what is an artificial neural network’ invites a host of complex answers.[2]
  • Unlike other machine learning algorithms, which may organize data or crunch numbers, neural networks learn from experience.[3]
  • Remember the single hidden layer in the artificial neural network?[3]
  • Many of the biggest advances in AI are driven by artificial neural networks.[4]
  • These ANNs are capable of extracting complex patterns from data, applying these patterns to unseen data to classify/recognize the data.[4]
  • Deep neural networks take the basic form of the MLP and make it larger by adding more hidden layers in the middle of the model.[4]
  • The multiple hidden layers of a deep neural network are able to interpret more complex patterns than the traditional multilayer perceptron.[4]
  • Different layers of the deep neural network learn the patterns of different parts of the data.[4]
  • A Convolutional Neural Network is a special type of neural network that is adept at interpreting the patterns found within images.[4]
  • On the other hand, artificial neural networks are built on the principle of bio-mimicry.[5]
  • The development of new algorithms to model such processes is needed, and ANNs can play a major role.[6]
  • The main topic of this article will be the extended version of neural networks, known as deep learning.[7]
  • ANNs consist of many interconnected computing units, called neurons, and are functional approximates that map inputs to outputs.[7]
  • An artificial neural network (ANN) is similar, but a computing network in science that resembles the properties of the human brain.[7]
  • Most neural networks today are organized in layers of nodes, and each node moves meaningfully within and outside the network.[7]
  • ANNs are function approximators, mapping inputs to outputs, and are composed of many interconnected computational units, called neurons.[8]
  • This tutorial provides an introduction to ANNs and discusses a few key features to consider.[8]
  • This tutorial provides a high level overview of ANNs, an analytic technique that is currently undergoing rapid development and research.[8]
  • A brief description of the biologic neuron, which ANNs attempt to mimic.[8]
  • How ANNs learn: Introducing the back-propagation algorithm.[8]
  • The output signal then moves to a raw output or other neurons depending on specific ANN architecture.[8]
  • ANNs are often described as having an Input layer, Hidden layer, and Output layer.[8]
  • Within the hidden layer is where a majority of the ‘learning’ takes place, and the output layer displays the results of the ANN.[8]
  • Each of the black lines with correspond to a weight, , and describe how artificial neurons are connections to one another within the ANN.[8]
  • top-left and top-right plots show two possible ANN configurations.[8]
  • In the top-right ANN we have a network with two hidden layers.[8]
  • Activation functions enable the ANN to learn non-linear properties present in the data.[8]
  • The output ( ) can feed into the output layer of a neural network, or in deeper architectures may feed into additional hidden layers.[8]
  • The choice of the activation function governs the required data scaling necessary for ANN analysis.[8]
  • We have described the structure of ANNs, however, we have not touched on how these networks learn.[8]
  • To begin training our notional single-layer one-neuron neural network we initially randomly assign weights.[8]
  • We then run the neural network with the random weights and record the outputs generated.[8]
  • Once we have our ANN output values ( ) we can compare them to the data set output values ( ).[8]
  • Recall that our neural network is simply a function, .[8]
  • Once the weights are updated, we can re-run the neural network with the update weight values.[8]
  • The back-propagation algorithm (described in the previous paragraphs) is the fundamental process by which an ANN learns.[8]
  • Given a ANN, back-propagation requires operations for -hidden layers, and operations for the number of input weights.[8]
  • ANN hyperparameters are settings used to control how a neural network performs.[8]
  • Hyperparameters dictate how well neural networks are able to learn the underlying functions they approximate.[8]
  • Generally, when ANNs are developed they are evaluated against one data set that has been split into a training data set and a test data set.[8]
  • When testing ANN hyperparameters we generally see multiple ANNs created with different hyperparameters trained on the training data set.[8]
  • When testing ANNs we are concerned with two types of error, under-fitting and over-fitting.[8]
  • An ANN exhibiting under-fitting is a neural network in which the error rate of the training data set is very high.[8]
  • An ANN exhibiting over-fitting has a large gap between the error rates on the training data set and the error rates on the test data set.[8]
  • Adjusting these ANN hyperparameters is an adjustment of the neural networks capacity.[8]
  • An over-capacity ANN is likely to show over-fitting when tested against the test data set.[8]
  • Next you’ll learn how to apply ANNs to predict continuous and categorical outcomes.[8]
  • The first artificial neural network was invented in 1958 by psychologist Frank Rosenblatt.[9]
  • Artificial neural networks typically start out with randomized weights for all their neurons.[9]
  • A back-propagation ANN, conversely, is trained by humans to perform specific tasks.[9]
  • During the training period, the teacher evaluates whether the ANN's output is correct.[9]
  • Implemented on a single computer, an artificial neural network is typically slower than a more traditional algorithmic solution.[9]
  • The parallel architecture also allows ANNs to process very large amounts of data very efficiently.[9]
  • Artificial neural networks have proved useful in a variety of real-world applications that deal with complex, often incomplete data.[9]
  • In addition, recent programs for text-to-speech have utilized ANNs.[9]
  • ANNs are used to discover other kinds of crime, too.[9]
  • Bomb detectors in many U.S. airports use ANNs to analyze airborne trace elements to sense the presence of explosive chemicals.[9]
  • A neural network breaks down the input into layers of abstraction.[10]
  • Understanding the human brain is critical for understanding ANN.[11]
  • With ANN, artificial systems mimic the same functionality of the human brain.[11]
  • ANNs are used in a number of applications today.[11]
  • These artificial neural networks try to replicate only the most basic elements of this complicated, versatile, and powerful organism.[12]
  • They are significantly more complex than the existing artificial neurons that are built into today's artificial neural networks.[12]
  • To do this, the basic unit of neural networks, the artificial neurons, simulate the four basic functions of natural neurons.[12]
  • All artificial neural networks are constructed from this basic building block - the processing element or the artificial neuron.[12]
  • Basically, all artificial neural networks have a similar structure or topology as shown in Figure 2.4.1.[12]
  • Definition - What does Artificial Neural Network (ANN) mean?[13]
  • For a more detailed introduction to neural networks, Michael Nielsen’s Neural Networks and Deep Learning is a good place to start.[14]
  • We’ve open sourced it on GitHub with the hope that it can make neural networks a little more accessible and easier to learn.[14]
  • Artificial neural networks (ANNs) are comprised of a node layers, containing an input layer, one or more hidden layers, and an output layer.[15]
  • Most deep neural networks are feedforward, meaning they flow in one direction only, from input to output.[15]
  • The perceptron is the oldest neural network, created by Frank Rosenblatt in 1958.[15]
  • Feedforward neural networks, or multi-layer perceptrons (MLPs), are what we’ve primarily been focusing on within this article.[15]
  • As a result, it’s worth noting that the “deep” in deep learning is just referring to the depth of layers in a neural network.[15]
  • The history of neural networks is longer than most people think.[15]
  • Neural network, a computer program that operates in a manner inspired by the natural neural network in the brain.[16]
  • The objective of such artificial neural networks is to perform such cognitive functions as problem solving and machine learning.[16]
  • In 1954 Belmont Farley and Wesley Clark of the Massachusetts Institute of Technology succeeded in running the first simple neural network.[16]
  • The primary appeal of neural networks is their ability to emulate the brain’s pattern-recognition skills.[16]
  • The output of a neural network depends on the weights of the connections between neurons in different layers.[16]
  • Artificial neural networks can also be thought of as learning algorithms that model the input-output relationship.[17]
  • An artificial neural network transforms input data by applying a nonlinear function to a weighted sum of the inputs.[17]
  • For example, a neural network performing lane detection in a car needs to have low latency and a small runtime application.[17]
  • Connectionist models of human perception and cognition utilize artificial neural networks.[17]
  • The first, middle, and last layers of a neural network are called the input layer, hidden layer, and output layer respectively.[17]
  • Artificial neural networks use different layers of mathematical processing to make sense of the information it’s fed.[18]
  • The majority of neural networks are fully connected from one layer to another.[18]
  • In order for ANNs to learn, they need to have a tremendous amount of information thrown at them called a training set.[18]
  • There are several ways artificial neural networks can be deployed including to classify information, predict outcomes and cluster data.[18]
  • Google uses a 30-layered neural network to power Google Photos as well as to power its “watch next” recommendations for YouTube videos.[18]
  • Facebook uses artificial neural networks for its DeepFace algorithm, which can recognise specific faces with 97% accuracy.[18]
  • Generally, the working of a human brain by making the right connections is the idea behind ANNs.[19]
  • Basically, we can consider ANN as nonlinear statistical data.[19]
  • ANN stands for Artificial Neural Networks.[19]
  • Although, the structure of the ANN affected by a flow of information.[19]
  • In this ANN Tutorial, we will learn Artificial Neural Network.[19]
  • Here, we will explore the working and structures of ANN.[19]
  • As a result, we can say that ANNs are composed of multiple nodes.[19]
  • In this particular Artificial Neural Network, it allows feedback loops.[19]
  • Artificial Neural Network used to perform a various task.[19]
  • Aerospace Generally, we use ANN a for Autopilot aircrafts.[19]
  • In various ways, we use ANN an in the military.[19]
  • Basically , we use an Artificial neural network in electronics in many ways.[19]
  • Thus, we use an Artificial neural network in many ways.[19]
  • Generally, we use an Artificial neural network in transportation in many ways.[19]
  • It also uses an ANN in pattern Recognition.[19]
  • Yes, that’s why there is a need to use big data in training neural networks.[20]
  • A neural network is a network of artificial neurons programmed in software.[20]
  • Let’s take an example of a neural network that is trained to recognize dogs and cats.[20]
  • Another common question I see floating around – neural networks require a ton of computing power, so is it really worth using them?[21]
  • As you can see here, ANN consists of 3 layers – Input, Hidden and Output.[21]
  • Artificial Neural Network is capable of learning any nonlinear function.[21]
  • ANN loses the spatial features of an image.[21]
  • In this article, I have discussed the importance of deep learning and the differences among different types of neural networks.[21]
  • The input layer is where rules are predetermined and representative examples are given to show the ANN what the output should look like.[22]
  • Looking at an analogy may be helpful in understanding neural networks better.[22]
  • Most deep learning methods use neural network architectures, which is why it is often referred to as deep neural networks.[22]
  • These inputs create electric impulses, which quickly travel through the neural network.[23]
  • ANNs are composed of multiple nodes, which imitate biological neurons of human brain.[23]
  • ANNs are capable of learning, which takes place by altering weight values.[23]
  • It involves a teacher that is scholar than the ANN itself.[23]
  • The ANN comes up with guesses while recognizing.[23]
  • Then the teacher provides the ANN with the answers.[23]
  • The ANN makes a decision by observing its environment.[23]
  • The first trainable neural network, the Perceptron, was demonstrated by the Cornell University psychologist Frank Rosenblatt in 1957.[24]
  • The recent resurgence in neural networks — the deep-learning revolution — comes courtesy of the computer-game industry.[24]
  • Artificial neural networks (ANNs) are computational models that are loosely inspired by their biological counterparts.[25]
  • In recent years, major breakthroughs in ANN research have transformed the machine learning landscape from an engineering perspective.[25]
  • At the same time, scientists have started to revisit ANNs as models of neural information processing in biological agents.[25]
  • We welcome contributions that are of direct relevance to neuroscientists that use ANNs as a model of neural information processing.[25]
  • As you can see, with neural networks, we’re moving towards a world of fewer surprises.[26]
  • This is because a neural network is born in ignorance.[26]
  • Now, that form of multiple linear regression is happening at every node of a neural network.[26]
  • While neural networks working with labeled data produce binary output, the input they receive is often continuous.[26]
  • Artificial intelligence (AI) pyramid illustrates the evolution of ML approach to ANN and leading to deep learning (DL).[27]
  • The basic concept of node and neutron has been explained, with the help of diagrams, leading to the ANN model and its operation.[27]
  • Literature depicts that ML, ANN and deep learning (DL) falls under the pyramid of AI and shown in Figure 1.[27]
  • Under ANN, DL has gained much importance among researchers.[27]
  • DL is a complex network set of ANN with various layers of processing, which improves the results by developing high levels of insight.[27]
  • The origins of all the work on ANN are in neurobiological studies that date back to about a century ago.[27]
  • A brief overview of evolution in ANN and significant milestones are shown in the timeline, as shown in Figures 3 and 4.[27]
  • Literature depicts that, in the 1980s, very few researchers were working on deep NNs, and it gained popularity in the early 1990s.[27]
  • Since then, a large number of research articles have been published on applications of ANN and this journey is on-going.[27]
  • The architecture of ANN is stimulated by the framework of biological neurons, like in the human brain.[27]
  • Likewise, the ANN is a framework of interlinked nodes, similar to neurons, forming a network model.[27]
  • ANN operations are not based on explicit rules and outputs are generated by trial and error procedures through sequential computations.[27]
  • To comprehend the basic structure of ANN, firstly, the understanding of ‘node’ is necessary.[27]
  • Figure 6 represents the general model of ANN, which is stimulated by a biological neuron.[27]
  • Figure 6 shows that there are three layers in ANN called the input layer, the output layer and the hidden layer.[27]
  • In the ANN, the processing part is performed in the hidden layer.[27]
  • Generally speaking, each ANN has three main components, i.e., node character, network topology and the learning rules.[27]
  • The interconnecting network model, between the nodes of ANN, with each other, is called the topology (or architecture).[27]
  • ANN is composed of input layers, hidden layers and output layers, as already discussed in Figure 6.[27]
  • A single-layer ANN, with a single output, is known as Perceptron.[27]
  • A conceptual model for layers and ANN topology is shown in Figure 7.[27]
  • Also, it can be seen that there is L number of hidden layers in the ANN model.[27]
  • ‘i’ as node number, i.e., from 1 to i. Y is the output for the mentioned ANN model.[27]
  • 3.2.1 Perceptron and multi-layer architectures A single-layered ANN, with a single output, is known as the perceptron.[27]
  • Multi-layer perceptrons (MLPs) are the most commonly used architecture for ANN.[27]
  • Figure 9 shows the ANN model for feedback network connections.[27]
  • The training of the ANN is accomplished through a learning process.[27]
  • In this process, the ANN model adjusts its weights, against the supplied inputs, thus producing outputs similar to inputs.[27]
  • Unsupervised ANN models are used in diagnosing diseases, image segmentation and many more.[27]
  • The primary reason for ANN popularity is due to approximated data output.[27]
  • There are five main steps for the approximation function in the ANN model, as given below.[27]
  • During the training process, ANN might suffer from the overfitting and underfitting.[27]
  • 5.4 Simulation Simulation is the ultimate goal of applying ANN networks.[27]
  • It is the representation of predicted output data for an ANN model.[27]
  • The validation set is used to inform the ANN when training is to be terminated (when the minimum error point is achieved).[27]
  • The test set provides an entirely independent way of examining the precision of the ANN.[27]
  • The test set is a set of sample data that is used for the evaluation of the ANN model.[27]
  • The biases and weights are the parameters of the network that are required to be adjusted before operating an ANN.[27]
  • These parameters can be modified by using either supervised or unsupervised approach for any ANN model.[27]
  • For training purpose, the supervised learning process is generally considered for determining biases and weights of an ANN network.[27]
  • The supervised training process of an ANN network could be attained by using delta rule.[27]
  • The backpropagation algorithm is mostly used for the application of delta rule for the training process of an ANN.[27]
  • The ANN training can be achieved either by batch training or incremental training.[27]
  • CNNs are very much similar to ANN that can be observed as the acyclic graph in the form of a well-arranged collection of neurons.[27]
  • 7.2 Recurrent neural network (RNN) RNNs are used for the tasks that require consecutive sequential inputs for processing.[27]
  • A simple ANN model was developed using Python.[27]
  • Conclusions Operation of the ANN model is the simulation of the human brain, and they fall under the knowledge domain of AI.[27]
  • The popularity of ANN models were increased in the early 1990s, and many studies have been done since.[27]
  • The basic ANN model has three main layers, and the main process is performed in the middle layer known as the hidden layer.[27]
  • The output of the ANN model is very much dependent on the characteristics and function it carries under the hidden layer.[27]
  • The ANN models can perform supervised learning as well as unsupervised learning depending upon the task.[27]
  • Output accuracy of the ANN models is very much dependent on the number of hidden layers and the number of epochs.[27]
  • This ANN technology, combined with other advanced and AI knowledge areas, is making life easier in almost every domain.[27]
  • In other words, the neural network uses the examples to automatically infer rules for recognizing handwritten digits.[28]
  • In this chapter we'll write a computer program implementing a neural network that learns to recognize handwritten digits.[28]
  • We're focusing on handwriting recognition because it's an excellent prototype problem for learning about neural networks in general.[28]
  • But how can we devise such algorithms for a neural network?[28]
  • In the next section I'll introduce a neural network that can do a pretty good job classifying handwritten digits.[28]
  • Up to now, we've been discussing neural networks where the output from one layer is used as input to the next layer.[28]
  • Having defined neural networks, let's return to handwriting recognition.[28]
  • To understand why we do this, it helps to think about what the neural network is doing from first principles.[28]
  • Now that we have a design for our neural network, how can it learn to recognize digits?[28]
  • We'll use the test data to evaluate how well our neural network has learned to recognize digits.[28]
  • So for now we're going to forget all about the specific form of the cost function, the connection to neural networks, and so on.[28]
  • the biggest neural networks have cost functions which depend on billions of weights and biases in an extremely complicated way.[28]
  • How can we apply gradient descent to learn in a neural network?[28]
  • In online learning, a neural network learns from just one training input at a time (just as human beings do).[28]
  • The centerpiece is a Network class, which we use to represent a neural network.[28]
  • """Train the neural network using mini-batch stochastic gradient descent.[28]
  • ""Return the number of test inputs for which the neural network outputs the correct result.[28]
  • The transcript shows the number of test images correctly recognized by the neural network after each epoch of training.[28]
  • We might worry not only about the learning rate, but about every other aspect of our neural network.[28]
  • Or maybe it's impossible for a neural network with this architecture to learn to recognize handwritten digits?[28]
  • You need to learn that art of debugging in order to get good results from neural networks.[28]
  • This is a nice data format, but for use in neural networks it's helpful to modify the format of the ``training_data`` a little.[28]
  • Based on ``load_data``, but the format is more convenient for use in our implementation of neural networks.[28]
  • Indeed, it means that the SVM is performing roughly as well as our neural networks, just a little worse.[28]
  • At present, well-designed neural networks outperform every other technique for solving MNIST, including SVMs.[28]
  • While our neural network gives impressive performance, that performance is somewhat mysterious.[28]
  • To put these questions more starkly, suppose that a few decades hence neural networks lead to artificial intelligence (AI).[28]
  • Processing units make up ANNs, which in turn consist of inputs and outputs.[29]
  • Artificial neural networks are built like the human brain, with neuron nodes interconnected like a web.[29]
  • An ANN has hundreds or thousands of artificial neurons called processing units, which are interconnected by nodes.[29]
  • An ANN initially goes through a training phase where it learns to recognize patterns in data, whether visually, aurally, or textually.[29]
  • Artificial neural networks are paving the way for life-changing applications to be developed for use in all sectors of the economy.[29]
  • Artificial intelligence platforms that are built on ANNs are disrupting the traditional ways of doing things.[29]
  • Artificial neural networks have been applied in all areas of operations.[29]
  • ANNs have been highly efficient in offering solutions to problems, where traditional models have failed or are very complicated to build.[30]
  • Due to the nonlinear nature of the ANNs, they are able to express much more complex phenomena than some linear modeling techniques.[30]
  • One of the most critical aspects of the use of ANN as a modeling tool is the level of knowledge needed.[30]
  • In general, limited expertise exists in modeling with ANN for practical applications.[30]
  • The ANN is one of many versatile tools to meet the demand in drug discovery modeling.[31]
  • Compared to a traditional regression approach, the ANN is capable of modeling complex nonlinear relationships.[31]
  • If you’ve spent any time reading about artificial intelligence, you’ll almost certainly have heard about artificial neural networks.[32]
  • Artificial neural networks are one of the main tools used in machine learning.[32]
  • There are multiple types of neural network, each of which come with their own specific use cases and levels of complexity.[32]
  • In the same way that we learn from experience in our lives, neural networks require data to learn.[32]
  • In most cases, the more data that can be thrown at a neural network, the more accurate it will become.[32]
  • When researchers or computer scientists set out to train a neural network, they typically divide their data into three sets.[32]
  • The biggest issue, however, is that neural networks are “black boxes,” in which the user feeds in data and receives answers.[32]
  • A hyperparameter is a setting that affects the structure or operation of the neural network.[33]
  • When training neural networks, like in other machine learning techniques, we try to balance between bias and variance.[33]
  • Another meaning of bias is a “ bias neuron ” which is used in every layer of the neural network.[33]
  • Source data fed into the neural network, with the goal of making a decision or prediction about the data.[33]
  • Artificial Neural Networks (ANN) is a supervised learning system built of a large number of simple elements, called neurons or perceptrons.[33]
  • However, for large neural networks, a training algorithm is needed that is very computationally efficient.[33]
  • In a neural network, inputs, which are typically real values, are fed into the neurons in the network.[33]
  • An activation function is a mathematical equation that determines the output of each element (perceptron or neuron) in the neural network.[33]
  • Classic activation functions used in neural networks include the step function (which has a binary input), sigmoid and tanh.[33]
  • Underfitting happens when the neural network is not able to accurately predict for the training set, not to mention for the validation set.[33]
  • A high bias means the neural network is not able to generate correct predictions even for the examples it trained on.[33]
  • In each layer of the neural network, a bias neuron is added, which simply stores a value of 1.[33]
  • To understand classification with neural networks let’s cover some other common classification algorithms.[33]
  • For certain classification problems, neural networks can provide improved performance compared to other algorithms.[33]
  • Essentially, any regression equation can be modeled by a neural network.[33]
  • Can you use a neural network to run a regression?[33]
  • The short answer is yes – neural networks can generate a model that approximates any regression function.[33]
  • A Recurrent Neural Network (RNN) helps neural networks deal with input data that is sequential in nature.[33]
  • An artificial neural network is an interconnected group of nodes, inspired by a simplification of neurons in a brain .[34]
  • Successive adjustments will cause the neural network to produce output which is increasingly similar to the target output.[34]
  • An artificial neural network consists of a collection of simulated neurons.[34]
  • ANNs are composed of artificial neurons which are conceptually derived from biological neurons.[34]
  • ANNs have evolved into a broad family of techniques that have advanced the state of the art across multiple domains.[34]
  • Neural architecture search (NAS) uses machine learning to automate ANN design.[34]
  • Because of their ability to reproduce and model nonlinear processes, Artificial neural networks have found applications in many disciplines.[34]
  • The convergence behavior of certain types of ANN architectures are more understood than others.[34]
  • A fundamental objection is that ANNs do not sufficiently reflect neuronal function.[34]
  • A central claim of ANNs is that they embody new and powerful general principles for processing information.[34]
  • This allows simple statistical association (the basic function of artificial neural networks) to be described as learning or recognition.[34]
  • Analyzing what has been learned by an ANN, is much easier than to analyze what has been learned by a biological neural network.[34]
  • A single-layer feedforward artificial neural network with 4 inputs, 6 hidden and 2 outputs.[34]
  • A two-layer feedforward artificial neural network with 8 inputs, 2x8 hidden and 2 outputs.[34]

소스

  1. 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 Artificial Neural Networks for Machine Learning
  2. 2.0 2.1 2.2 2.3 ELI5: what is an artificial neural network?
  3. 3.0 3.1 Artificial Neural Networks: What Every Marketer Should Know
  4. 4.0 4.1 4.2 4.3 4.4 4.5 What are Neural Networks?
  5. What does Training Neural Networks mean?
  6. Artificial Neural Networks in Biological and Environmental Analysis
  7. 7.0 7.1 7.2 7.3 Artificial Neural Networks (ANN)
  8. 8.00 8.01 8.02 8.03 8.04 8.05 8.06 8.07 8.08 8.09 8.10 8.11 8.12 8.13 8.14 8.15 8.16 8.17 8.18 8.19 8.20 8.21 8.22 8.23 8.24 8.25 8.26 8.27 8.28 8.29 8.30 8.31 Artificial Neural Network Fundamentals · UC Business Analytics R Programming Guide
  9. 9.0 9.1 9.2 9.3 9.4 9.5 9.6 9.7 9.8 9.9 Artificial Neural Networks
  10. What Is a Neural Network?
  11. 11.0 11.1 11.2 What is an artificial neural network?
  12. 12.0 12.1 12.2 12.3 12.4 What are Artificial Neural Networks
  13. What is an Artificial Neural Network (ANN)?
  14. 14.0 14.1 A Neural Network Playground
  15. 15.0 15.1 15.2 15.3 15.4 15.5 What are Neural Networks?
  16. 16.0 16.1 16.2 16.3 16.4 Neural network | computing
  17. 17.0 17.1 17.2 17.3 17.4 Artificial Neural Network
  18. 18.0 18.1 18.2 18.3 18.4 18.5 What Are Artificial Neural Networks - A Simple Explanation For Absolutely Anyone
  19. 19.00 19.01 19.02 19.03 19.04 19.05 19.06 19.07 19.08 19.09 19.10 19.11 19.12 19.13 19.14 What is Artificial Neural Network
  20. 20.0 20.1 20.2 What is a neural network? A computer scientist explains
  21. 21.0 21.1 21.2 21.3 21.4 Types of Neural Networks
  22. 22.0 22.1 22.2 Artificial Neural Networks
  23. 23.0 23.1 23.2 23.3 23.4 23.5 23.6 Artificial Intelligence
  24. 24.0 24.1 Explained: Neural networks
  25. 25.0 25.1 25.2 25.3 Artificial Neural Networks as Models of Neural Information Processing
  26. 26.0 26.1 26.2 26.3 A Beginner's Guide to Neural Networks and Deep Learning
  27. 27.00 27.01 27.02 27.03 27.04 27.05 27.06 27.07 27.08 27.09 27.10 27.11 27.12 27.13 27.14 27.15 27.16 27.17 27.18 27.19 27.20 27.21 27.22 27.23 27.24 27.25 27.26 27.27 27.28 27.29 27.30 27.31 27.32 27.33 27.34 27.35 27.36 27.37 27.38 27.39 27.40 27.41 27.42 27.43 27.44 27.45 27.46 27.47 27.48 27.49 27.50 27.51 27.52 Data Processing Using Artificial Neural Networks
  28. 28.00 28.01 28.02 28.03 28.04 28.05 28.06 28.07 28.08 28.09 28.10 28.11 28.12 28.13 28.14 28.15 28.16 28.17 28.18 28.19 28.20 28.21 28.22 28.23 28.24 28.25 28.26 Neural networks and deep learning
  29. 29.0 29.1 29.2 29.3 29.4 29.5 29.6 Artificial Neural Network (ANN)
  30. 30.0 30.1 30.2 30.3 Artificial Neural Network - an overview
  31. 31.0 31.1 Overview of Artificial Neural Networks
  32. 32.0 32.1 32.2 32.3 32.4 32.5 32.6 What is an artificial neural network? Here’s everything you need to know
  33. 33.00 33.01 33.02 33.03 33.04 33.05 33.06 33.07 33.08 33.09 33.10 33.11 33.12 33.13 33.14 33.15 33.16 33.17 Complete Guide to Artificial Neural Network Concepts & Models
  34. 34.00 34.01 34.02 34.03 34.04 34.05 34.06 34.07 34.08 34.09 34.10 34.11 34.12 34.13 Artificial neural network