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Backpropagation computes the gradient of a loss function with respect to the weights of the network for a single input–output example, and does so efficiently, computing the gradient one layer at a time, iterating backward from the last layer to avoid redundant calculations of intermediate terms in the chain rule; this can be derived through ...
He was born in Pori. [1] He received his MSc in 1970 and introduced a reverse mode of automatic differentiation in his MSc thesis. [2] [3] In 1974 he obtained the first doctorate ever awarded in computer science at the University of Helsinki. [4]
Martin Riedmiller developed three algorithms, all named RPROP. Igel and Hüsken assigned names to them and added a new variant: [2] [3] RPROP+ is defined at A Direct Adaptive Method for Faster Backpropagation Learning: The RPROP Algorithm.
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Back_Propagation_Through_Time(a, y) // a[t] is the input at time t. y[t] is the output Unfold the network to contain k instances of f do until stopping criterion is met: x := the zero-magnitude vector // x is the current context for t from 0 to n − k do // t is time. n is the length of the training sequence Set the network inputs to x, a[t ...
Cassowary constraint solver, an open source project for constraint satisfaction (accessible from C, Java, Python and other languages). Comet, a commercial programming language and toolkit; Gecode, an open source portable toolkit written in C++ developed as a production-quality and highly efficient implementation of a complete theoretical ...
Value range propagation [9] – precompute the potential ranges a calculation could be, allowing for the creation of branch predictions in advance; Sparse conditional constant propagation – range-check some values, allowing tests to predict the most likely branch; Dead-code elimination – remove code that will have no effect on the results
Neural backpropagation is the phenomenon in which, after the action potential of a neuron creates a voltage spike down the axon (normal propagation), another impulse is generated from the soma and propagates towards the apical portions of the dendritic arbor or dendrites (from which much of the original input current originated).