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The source code for a function is replaced by an automatically generated source code that includes statements for calculating the derivatives interleaved with the original instructions. Source code transformation can be implemented for all programming languages, and it is also easier for the compiler to do compile time optimizations.
For backpropagation, the activation as well as the derivatives () ′ (evaluated at ) must be cached for use during the backwards pass. The derivative of the loss in terms of the inputs is given by the chain rule; note that each term is a total derivative , evaluated at the value of the network (at each node) on the input x {\displaystyle x} :
Rprop, short for resilient backpropagation, is a learning heuristic for supervised learning in feedforward artificial neural networks. This is a first-order optimization algorithm. This algorithm was created by Martin Riedmiller and Heinrich Braun in 1992. [1]
The following procedure can be used to easily test if any source code is derivative code or not. Delete the code in question; Build (or compile) the project; If the build process simply replaces the source code which has been deleted, it is (obviously) code which has been derived from something else and is therefore, by definition, derivative code.
A proof of concept compiler toolchain called Myia uses a subset of Python as a front end and supports higher-order functions, recursion, and higher-order derivatives. [8] [9] [10] Operator overloading, dynamic graph based approaches such as PyTorch, NumPy's autograd package as well as Pyaudi. Their dynamic and interactive nature lets most ...
Seppo Ilmari Linnainmaa (born 28 September 1945) is a Finnish mathematician and computer scientist known for creating the modern version of backpropagation. Biography [ edit ]
Source generators, [78] a feature of the Roslyn C# compiler, enable compile time metaprogramming. During the compilation process, developers can inspect the code being compiled with the compiler's API and pass additional generated C# source code to be compiled.
A source-to-source translator, source-to-source compiler (S2S compiler), transcompiler, or transpiler [1] [2] [3] is a type of translator that takes the source code of a program written in a programming language as its input and produces an equivalent source code in the same or a different programming language.