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[https://en.wikipedia.org/wiki/Artificial_neural_network Artificial Neural Networks] ('''ANNs''') are a family of [https://en.wikipedia.org/wiki/Machine_learning statistical learning] devices or algorithms used in [https://en.wikipedia.org/wiki/Regression_analysis regression], and [https://en.wikipedia.org/wiki/Binary_classification binary] or [[https://en.wikipedia.org/wiki/Multiclass_classification multiclass classification|multiclass classification]], implemented in [[Hardware|hardware]] or [[Software|software]] inspired by their biological counterparts. The [https://en.wikipedia.org/wiki/Artificial_neuron artificial neurons] of one or more layers receive one or more inputs (representing dendrites), and after being weighted, sum them to produce an output (representing a neuron's axon). The sum is passed through a [https://en.wikipedia.org/wiki/Nonlinear_system nonlinear] function known as an [https://en.wikipedia.org/wiki/Activation_function activation function] or transfer function. The transfer functions usually have a [https://en.wikipedia.org/wiki/Sigmoid_function sigmoid shape], but they may also take the form of other non-linear functions, [https://en.wikipedia.org/wiki/Piecewise piecewise] linear functions, or [https://en.wikipedia.org/wiki/Artificial_neuron#Step_function step functions] <ref>[https://en.wikipedia.org/wiki/Artificial_neuron Artificial neuron from Wikipedia]</ref>. The weights of the inputs of each layer are tuned to minimize a [https://en.wikipedia.org/wiki/Loss_function cost or loss function], which is a task in [https://en.wikipedia.org/wiki/Mathematical_optimization mathematical optimization] and machine learning.