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Neural networks and deep learning (2): Gradient descent algorithm and stochastic gradient descent algorithm

This paper summarizes some contents from the 1th chapter of Neural Networks and deep learning.learning with gradient descent algorithm (learning with gradient descent)1. TargetWe want an algorithm that allows us to find weights and biases so that the output y (x) of the network can fit all the training input x.2. Price functions (cost function)Define a cost function (loss function, objective function): The

Basic Process of Neural Networks

Label: style blog HTTP color ar SP 2014 art log 1. Basic Structure of Neural Networks Neural Network: N inputs, m middle layers, and K output layers X indicates the input, W indicates the input weight to the middle layer, V indicates the weight from the middle layer to the output, and y indicates the network output. Threshold indicates the threshold of the in

Paper read--scalable Object Detection using deep neural Networks

Scalable Object Detection using deep neural Networksauthor : Dumitru Erhan, Christian szegedy, Alexander Toshev, and Dragomir Anguelovreferences : Erhan, Dumitru, et al. "Scalable object detection using deep neural networks." Proceedings of the IEEE Conference on computer Vision and Pattern recognition. 2014.citations : 181 (Google scholar, by 2016/11/23).Project

Machine learning methods: from linear models to neural networks

Discovery modeThe linear model and the neural network principle and the goal are basically consistent, the difference manifests in the derivation link. If you are familiar with the linear model, the neural network will be well understood, the model is actually a function from input to output, we want to use these models to find patterns in the data, to discover the existence of the function dependencies, of

Optimization algorithm selection for neural networks

Bowen content reproduced: http://blog.csdn.net/ybdesire/article/details/51792925 Optimization Algorithm To solve the optimization problem, there are many algorithms (the most common is gradient descent), these algorithms can also be used to optimize the neural network. Each depth learning library contains a large number of optimization algorithms to optimize the learning rate, so that the network with the fastest training times to achieve optimal, bu

convolutional neural Networks (5):P ooling Layer

The pooled layers (Pooling layer) are also inspired by visual neuroscience. In the primary visual cortex V1 (Primary visual cortex), there are many complex cells (Complex cells) that are invariant to small changes in objects in the image (invariance to small shifts and Distortions). This invariance is also the core of pooling layer, we first see how the pooling layer works, and then specifically analyze this invariance.We illustrate the working process of the pooling layer, in the max pooling op

Machine learning and Neural Networks (ii): Introduction of Perceptron and implementation of Python code __python

This article mainly introduces the knowledge of Perceptron, uses the theory + code practice Way, and carries out the learning of perceptual device. This paper first introduces the Perceptron model, then introduces the Perceptron learning rules (Perceptron learning algorithm), finally through the Python code to achieve a single layer perceptron, so that readers a more intuitive understanding. 1. Single-layer Perceptron model Single-layer perceptron is a neura

Mastering the game of Go with deep neural networks and tree search

Silver, David, et al. "Mastering the game of Go with deep neural networks and tree search." Nature 529.7587 (2016): 484-489.Alphago's thesis, the main use of the RL technology, do not know before the use of RL to do Weiqi.Proposed two networks, one is the strategy network, one is the value network, all through the self-battle realization.Policy Network:The strate

convolutional neural Networks at Constrained time Cost (intensive reading)

I. Documentation names and authorsconvolutional neural Networks at Constrained time COST,CVPR two. Reading timeJune 30, 2015Three. Purpose of the documentThe author hopes to improve the accuracy of CNN by modifying the model depth and the parameters of the convolution template, while maintaining the computational complexity. Through a lot of experiments, the author finds the importance of different paramete

ImageNet classification with deep convolutional Neural Networks (reprint)

ImageNet classification with deep convolutional neural Networks reading notes(after deciding to read a paper each time, the notes are recorded on the blog.) )This article, published in NIPS2012, was Hinton and his students, in response to doubts about deep learning, used deep learning for imagenet, the largest database of image recognition, and eventually achieved very surprising results, The result is much

[Ufldl]supervised Neural Networks

is: F ' (x) = f (x) * (1-f (x)), calculation is very convenient. The code is as follows:1%%compute gradients using backpropagation2 3%%% YOUR CODE here%%%4%Output Layer5Output =Zeros (Size (Pred_prob));6Output (Index) = 1;7Error = Pred_prob-output;8 9 forL = numhidden+1: -1:1Tengradstack{l}.b = SUM (error,2); One if(L = = 1) AGradstack{l}. W = Error * Data'; - Break; - Else theGradstack{l}. W = error * HACT{L-1}'; - End -Error = (Stack{l}. W'*error. * HACT{L-1}. * (1-hact{l-1}

Wunda +neural-networks-deep-learning+ Second week assignment

,x_test) Y_prediction_train = Predict (W,b,x_train) # # # # END CODE here # # # print train/test Errors print ("Train accuracy: {}% ". Format (100-np.mean (Np.abs (y_prediction_train-y_train) *)) print (" Test accuracy: {}% ". Format (100-np.me An (Np.abs (y_prediction_test-y_test)) *) d = {"Costs": costs, "y_prediction_test": Y_prediction_test, "Y_prediction_train": Y_prediction_train, "W": W, "B": B, "learning_rate": Learnin G_rate, "Num_iteRations ": num_iterations} print (d[" costs

[Machine Learning] study notes-neural Networks

\):The chain rules are updated as follows:\[\begin{split}\frac{c_0}{\partial \omega_{jk}^{(L)}}= \frac{\partial z_j^{(L)}}{\partial \omega_{jk}^{(l)}}\ Frac{\partial a_j^{(L)}}{\partial z_j^{(l)}}\frac{\partial c_0}{\partial a_j^{(L)}}\=a^{l-1}_k \sigma\prime (z^ {(l)}_j) 2 (a^{(l)}_j-y_j) \end{split}\]And to push this formula to other layers ( \frac{c}{\partial \omega_{jk}^{(L)}}\) , only the \ (\frac{\partial c}{\partial a_j^{) in the formula is required ( L)}}\) .Summarized as follows:Therefo

Introduction to Artificial Neural networks (4)--aforge.net

1 Introduction In this article, we will introduce a framework aforge using C #, which allows you to easily manipulate artificial networks, computer vision, machine learning, image processing, genetic algorithms, etc. Introduction of 2 neural network design part framework Here, I want to emphasize: This piece of code is very beautiful, a code such as poetic beauty, let me charmed. This piece of code is i

Machine LEARNING-VIII. Neural Networks Representation (Week 4)

http://blog.csdn.net/pipisorry/article/details/4397356Machine learning machines Learning-andrew NG Courses Study notesNeural Networks Representation Neural network representationnon-linear Hypotheses Nonlinear hypothesisNeurons and the brain neurons and brainsModel representation models representExamples and intuitions examples and intuitive knowledgeMulticlass Classification Multi-class classificationfrom:

[UFLDL] Python implementation of multilayer neural networks

self.nodesinLayers.append (int (SELF.OUTPUTDI)) #self. nodesinb=[] #self. nodesinb + = self. Nodesinhidden #self. Nodesinb.append (int (SELF.OUTPUTDI)) #for element in Self.nodesinlayers: #self . Nodesinlayers=int (Self.nodesinlayers[idx]) #weight matrix, it's a list and each element is a numpy matrix # Weight matrix, here are Wij, and in BP we could inverse it into Wji #here we store the matrix as Numpy.array SE Lf.weightmatrix=[] Self. B=[] for IDX in range (0,self.NL-1): #Xaxier ' s scaling

self-organizing Feature Map Neural Networks (SOM)

);Update.mfunction [W] = update (w,q,x,t,a)% update the values in W[m,n] = size (w); Nq =; % distance of neighborfor j = q-nq:q+nqif J Test.mfunction [Res] = Test (im,w)% test for the image data compression based on SOM network% (256*256)/(4*4)% will (256*256) be divided (4*4) ) image block n = 4;m = 4;block_n = N*ones (1,256/n); % Block_n = [4,4....4] 64 4block_m = M*ones (1,256/m); im_block = Mat2cell (im,block_n,block_m);%im_block = Reshape (im_bloc k,1,4096); X = ones (16

Andrew Ng's Machine Learning course Learning (WEEK4) Multi-Class classification and neural Networks

; -j = j + lambda* (sum(sum(Theta1 (:,2: End). ^2))+sum(sum(Theta2 (:,2: End). ^2)))/2/m; + -%Backward Propagation +Delta1 = zeros (Size (Theta1)); %25x401 ADelta2 = zeros (Size (THETA2)); %0x26 at forI=1: M -DELTA3 = A3 (i,:)'-Y_vect (i,:)'; %0x1 -TEMPTHETA2 = Theta2'* DELTA3;% 26x10x10x1 = 26x1 -Delta2 = TempTheta2 (2: End). * Sigmoidgradient (Z2 (i,:)'); %25x1 -Delta2 = Delta2 + delta3 * A2 (i,:); %10x1x1x26 -Delta1 = Delta1 + delta2 * A1 (I,:); %25x1x1x401 in end; - toTheta2_grad = delt

Introduction to neural networks and artificial intelligence no0-(note-taking version)

The Mcculloch-pitts model for neuronsNeuron: The basic Information Processing Unit for neural network operations.The basic elements of neurons: synapses, adders, biases, activation functions.Neuron Mathematical expression:Name of the UK: output of the linear assemblyVK=UK+BK: Induction of local domain, activation potential.The role of bias is to do affine transformations for the UK.Type of activation function: threshold function, sigmoid function.Intr

Neural networks used in machine learning (iv)

training:Eventually:Look at the weights for each unit, sort of like a number template.Why the simple learning algorithm is insufficienta The layer network with a winner in the top layer are equivalent to have a rigid template for each shape., Haven Winner is the template, which has the biggest overlap with the ink.the ways in which hand-written digits vary is much too complicated to being captured by simple template matches of whole s Hapes.–to capture all the allowable variations of a digit we

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