For example, you could create a network with more hidden layers, or a deep neural network. There are many types of deep networks supported in MATLAB and resources for deep learning. For more info, check out the links in the description below.

You can generate a MATLAB function or Simulink diagram for simulating your neural network. Use genfunction to create the neural network including all settings, weight and bias values, functions, and calculations in one MATLAB function file.


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A neural network (also called an artificial neural network or ANN) is an adaptive system that learns by using interconnected nodes or neurons in a layered structure that resembles a human brain. A neural network can learn from data, so it can be trained to recognize patterns, classify data, and forecast future events. A neural network breaks down the input into layers of abstraction. It can be trained using many examples to recognize patterns in speech or images just as the human brain does. The neural network behavior is defined by the way its individual elements are connected and by the strength, or weights, of those connections. These weights are automatically adjusted during training according to a specified learning rule until the artificial neural network performs the desired task correctly.

Neural networks are a type of machine learning approach inspired by how neurons signal to each other in the human brain. Neural networks are especially suitable for modeling nonlinear relationships, and they are typically used to perform pattern recognition and classify objects or signals in speech, vision, and control systems.

Neural networks, particularly deep neural networks, have become known for their proficiency at complex identification applications such as face recognition, text translation, and voice recognition. These approaches are a key technology driving innovation in advanced driver assistance systems and tasks, including lane classification and traffic sign recognition.

Like other machine learning algorithms, neural networks can be used for classification or regression tasks. Model parameters are set by weighting the neural network through learning on training data, typically by optimizing weights to minimize prediction error.

Deep learning refers to neural networks with many layers, whereas neural networks with only two or three layers of connected neurons are also known as shallow neural networks. Deep learning has become popular because it eliminates the need to extract features from images, which previously challenged the application of machine learning to image and signal processing. Although feature extraction can be omitted in image processing applications, some form of feature extraction is still commonly applied to signal processing tasks to improve model accuracy.

With just a few lines of code, you can create neural networks in MATLAB without being an expert. You can get started quickly, train and visualize neural network models, and integrate neural networks into your existing system and deploy them to servers, enterprise systems, clusters, clouds, and embedded devices.

To train a neural network classification model, use the Classification Learner app. For greater flexibility, train a neural network classifier using fitcnet in the command-line interface. After training, you can classify new data by passing the model and the new predictor data to predict.

Click the Apps tab, and then click the Show more arrow on the right to open the apps gallery. In the Machine Learning and Deep Learning group, click Classification Learner.

In the New Session from Workspace dialog box, select the table fishertable from the Data Set Variable list (if necessary). Observe that the app has selected response and predictor variables based on their data types. Petal and sepal length and width are predictors, and species is the response that you want to classify. For this example, do not change the selections.

Use the scatter plot to investigate which variables are useful for predicting the response. Select different options in the X and Y lists under Predictors to visualize the distribution of species and measurements. Note which variables separate the species colors most clearly.

Create a selection of neural network models. On the Learn tab, in the Models section, click the arrow to open the gallery. In the Neural Network Classifiers group, click All Neural Networks.

If you do not have Parallel Computing Toolbox, then the Use Background Training check box in the Train All menu is selected by default. After you select an option to train models, the app opens a background pool. After the pool opens, you can continue to interact with the app while models train in the background.

Classification Learner trains one of each neural network classification option in the gallery, as well as the default fine tree model. In the Models pane, the app outlines the Accuracy (Validation) score of the best model. Classification Learner also displays a validation confusion matrix for the first neural network model (Narrow Neural Network).

Select a model in the Models pane to view the results. For example, double-click the Narrow Neural Network model (model 2.1). Inspect the model Summary tab, which displays the Training Results metrics, calculated on the validation set.

Examine the scatter plot for the trained model. On the Learn tab, in the Plots and Results section, click the arrow to open the gallery, and then click Scatter in the Validation Results group. Correctly classified points are marked with an O, and incorrectly classified points are marked with an X.

Inspect the accuracy of the predictions in each class. On the Learn tab, in the Plots and Results section, click the arrow to open the gallery, and then click Confusion Matrix (Validation) in the Validation Results group. View the matrix of true class and predicted class results.

Choose the best model in the Models pane (the best score is highlighted in the Accuracy (Validation) box). See if you can improve the model by removing features with low predictive power.

Use the parallel coordinates plot. On the Learn tab, in the Plots and Results section, click the arrow to open the gallery, and then click Parallel Coordinates in the Validation Results group. Keep predictors that separate classes well.

Use a feature ranking algorithm. On the Learn tab, in the Options section, click Feature Selection. In the Default Feature Selection tab, specify the feature ranking algorithm you want to use, and the number of features to keep among the highest ranked features. The bar graph can help you decide how many features to use.

Click Save and Apply to save your changes. The new feature selection is applied to the existing draft model in the Models pane and will be applied to new draft models that you create using the gallery in the Models section of the Learn tab.

Train the model. On the Learn tab, in the Train section, click Train All and select Train Selected to train the model using the new options. Compare results among the classifiers in the Models pane.

Choose the best model in the Models pane. To try to improve the model further, change its hyperparameters. First, duplicate the best model by right-clicking the model and selecting Duplicate. Then, try changing hyperparameter settings, like the sizes of the fully connected layers or the regularization strength, in the model Summary tab. Train the new model by clicking Train All and selecting Train Selected in the Train section.

You can export a full or compact version of the trained model to the workspace. On the Classification Learner tab, click Export, click Export Model and select Export Model. To exclude the training data and export a compact model, clear the check box in the Export Classification Model dialog box. You can still use the compact model for making predictions on new data. In the dialog box, click OK to accept the default variable name.

Deep Learning is a very hot topic these days especially in computer vision applications and you probably see it in the news and get curious. Now the question is, how do you get started with it? Today's guest blogger, Toshi Takeuchi, gives us a quick tutorial on artificial neural networks as a starting point for your study of deep learning.

Many of us tend to learn better with a concrete example. Let me give you a quick step-by-step tutorial to get intuition using a popular MNIST handwritten digit dataset. Kaggle happens to use this very dataset in the Digit Recognizer tutorial competition. Let's use it in this example. You can download the competition dataset from "Get the Data" page:

The first column is the label that shows the correct digit for each sample in the dataset, and each row is a sample. In the remaining columns, a row represents a 28 x 28 image of a handwritten digit, but all pixels are placed in a single row, rather than in the original rectangular form. To visualize the digits, we need to reshape the rows into 28 x 28 matrices. You can use reshape for that, except that we need to transpose the data, because reshape operates by column-wise rather than row-wise.

The dataset stores samples in rows rather than in columns, so you need to transpose it. Then you will partition the data so that you hold out 1/3 of the data for model evaluation, and you will only use 2/3 for training our artificial neural network model.

W in the diagram stands for weights and b for bias units, which are part of individual neurons. Individual neurons in the hidden layer look like this - 784 inputs and corresponding weights, 1 bias unit, and 10 activation outputs. 152ee80cbc

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