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PyTorch Lightning is an open-source Python library that provides a high-level interface for PyTorch, a popular deep learning framework. [1] It is a lightweight and high-performance framework that organizes PyTorch code to decouple research from engineering, thus making deep learning experiments easier to read and reproduce.
Differential dynamic programming (DDP) is an optimal control algorithm of the trajectory optimization class. The algorithm was introduced in 1966 by Mayne [1] and subsequently analysed in Jacobson and Mayne's eponymous book. [2] The algorithm uses locally-quadratic models of the dynamics and cost functions, and displays quadratic convergence ...
This problem can be seen as a generalization of the linear assignment problem. [2] In words, the problem can be described as follows: An instance of the problem has a number of agents (i.e., cardinality parameter) and a number of job characteristics (i.e., dimensionality parameter) such as task, machine, time interval, etc. For example, an ...
PyTorch 2.0 was released on 15 March 2023, introducing TorchDynamo, a Python-level compiler that makes code run up to 2x faster, along with significant improvements in training and inference performance across major cloud platforms.
LongTensor {1, 2})-0.2381-0.3401-1.7844-0.2615 0.1411 1.6249 0.1708 0.8299 [torch. DoubleTensor of dimension 2 x4 ] > a : min () - 1.7844365427828 The torch package also simplifies object-oriented programming and serialization by providing various convenience functions which are used throughout its packages.
A problem set, sometimes shortened as pset, [1] is a teaching tool used by many universities. Most courses in physics , math , engineering , chemistry , and computer science will give problem sets on a regular basis. [ 2 ]
For example, LOBPCG implementations, [9] [10] follow, [8] [11] separating hard locking, i.e. a deflation by restriction, where the locked eigenvectors serve as a code input and do not change, from soft locking, where the locked vectors do not participate in the typically most expensive iterative step of computing the residuals, however, fully ...
The problem of finding the closest distance between two convex polytopes, specified by their sets of vertices, may be represented as an LP-type problem. In this formulation, the set S is the set of all vertices in both polytopes, and the function value f(A) is the negation of the smallest distance between the convex hulls of the two subsets A ...