![]() The Convolutional Neural Network (CNN) has shown excellent performance. This note is self-contained, and the focus is to make it comprehensible to beginners in the CNN eld. 1 Introduction This is a note that describes how a Convolutional Neural Network (CNN) op-erates from a mathematical perspective. Wanttolearnnotonlyby reading,butalsobycoding? SNIPE1 is a well-documented JAVA li-brary that implements a framework for. The aim of this work is (even if it could not befulfilledatfirstgo)toclosethisgapbit by bit and to provide easy access to the subject. Paradigms of neural networks) and, nev-ertheless, written in coherent style. Neural Networks Activation Functions The most common sigmoid function used is the logistic function f(x) = 1/(1 + e-x) The calculation of derivatives are important for neural networks and the logistic function has a very nice derivative f’(x) = f(x)(1 - f(x)) Other sigmoid functions also. Filter weights are shared across receptive fields.The “dot products” between weights and inputs are “integrated” across “channels”.The process is a 2D convolution on the inputs. ![]() Convolutional neural networks are usually composed by a set of layers that can be grouped by their functionalities.
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