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Neural network (machine learning)
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== Network design == Using artificial neural networks requires an understanding of their characteristics. * Choice of model: This depends on the data representation and the application. Model parameters include the number, type, and connectedness of network layers, as well as the size of each and the connection type (full, pooling, etc.). Overly complex models learn slowly. * [[Machine learning|Learning algorithm]]: Numerous trade-offs exist between learning algorithms. Almost any algorithm will work well with the correct hyperparameters<ref>{{cite journal |last1=Probst |first1=Philipp |last2=Boulesteix |first2=Anne-Laure |last3=Bischl |first3=Bernd |title=Tunability: Importance of Hyperparameters of Machine Learning Algorithms |journal=J. Mach. Learn. Res. |date=26 February 2018 |volume=20 |page=53:1β53:32 |s2cid=88515435 }}</ref> for training on a particular data set. However, selecting and tuning an algorithm for training on unseen data requires significant experimentation. * [[Robustness]]: If the model, cost function and learning algorithm are selected appropriately, the resulting ANN can become robust. [[Neural architecture search]] (NAS) uses machine learning to automate ANN design. Various approaches to NAS have designed networks that compare well with hand-designed systems. The basic search algorithm is to propose a candidate model, evaluate it against a dataset, and use the results as feedback to teach the NAS network.<ref>{{cite arXiv|last1=Zoph|first1=Barret|last2=Le|first2=Quoc V.|date=4 November 2016|title=Neural Architecture Search with Reinforcement Learning|eprint=1611.01578|class=cs.LG}}</ref> Available systems include [[Automated machine learning|AutoML]] and AutoKeras.<ref>{{cite journal |author1=Haifeng Jin |author2=Qingquan Song |author3=Xia Hu |title=Auto-keras: An efficient neural architecture search system |journal=Proceedings of the 25th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining |publisher=ACM |date=2019 |arxiv=1806.10282 |url=https://autokeras.com/ |via=autokeras.com |access-date=21 August 2019 |archive-date=21 August 2019 |archive-url=https://web.archive.org/web/20190821163310/https://autokeras.com/ |url-status=live }}</ref> [[Scikit-learn|scikit-learn library]] provides functions to help with building a deep network from scratch. We can then implement a deep network with [[TensorFlow]] or [[Keras]]. Hyperparameters must also be defined as part of the design (they are not learned), governing matters such as how many neurons are in each layer, learning rate, step, stride, depth, receptive field and padding (for CNNs), etc.<ref name="abs1502.02127">{{cite arXiv|eprint=1502.02127|last1=Claesen|first1=Marc|last2=De Moor|first2=Bart |title=Hyperparameter Search in Machine Learning |date=2015|class=cs.LG }} {{bibcode|2015arXiv150202127C}}</ref> {{citation needed span|date=July 2023|The [[Python (programming language)|Python]] code snippet provides an overview of the training function, which uses the training dataset, number of hidden layer units, learning rate, and number of iterations as parameters:<syntaxhighlight lang="python3" line="1"> def train(X, y, n_hidden, learning_rate, n_iter): m, n_input = X.shape # 1. random initialize weights and biases w1 = np.random.randn(n_input, n_hidden) b1 = np.zeros((1, n_hidden)) w2 = np.random.randn(n_hidden, 1) b2 = np.zeros((1, 1)) # 2. in each iteration, feed all layers with the latest weights and biases for i in range(n_iter + 1): z2 = np.dot(X, w1) + b1 a2 = sigmoid(z2) z3 = np.dot(a2, w2) + b2 a3 = z3 dz3 = a3 - y dw2 = np.dot(a2.T, dz3) db2 = np.sum(dz3, axis=0, keepdims=True) dz2 = np.dot(dz3, w2.T) * sigmoid_derivative(z2) dw1 = np.dot(X.Y, dz2) db1 = np.sum(dz2, axis=0) # 3. update weights and biases with gradients w1 -= learning_rate * dw1 / m w2 -= learning_rate * dw2 / m b1 -= learning_rate * db1 / m b2 -= learning_rate * db2 / m if i % 1000 == 0: print("Epoch", i, "loss: ", np.mean(np.square(dz3))) model = {"w1": w1, "b1": b1, "w2": w2, "b2": b2} return model </syntaxhighlight>}}
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