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pro vyhledávání: '"Computer Science - Numerical Analysis"'
Although optimization is the longstanding algorithmic backbone of machine learning, new models still require the time-consuming implementation of new solvers. As a result, there are thousands of implementations of optimization algorithms for machine
Externí odkaz:
http://arxiv.org/abs/1905.13587
Autor:
Espitau, Thomas, Joux, Antoine
Quadratic form reduction and lattice reduction are fundamental tools in computational number theory and in computer science, especially in cryptography. The celebrated Lenstra-Lenstra-Lov\'asz reduction algorithm (so-called LLL) has been improved in
Externí odkaz:
http://arxiv.org/abs/1905.11743
Optimization acceleration techniques such as momentum play a key role in state-of-the-art machine learning algorithms. Recently, generic vector sequence extrapolation techniques, such as regularized nonlinear acceleration (RNA) of Scieur et al., were
Externí odkaz:
http://arxiv.org/abs/1905.11692
In this paper we introduce a unified analysis of a large family of variants of proximal stochastic gradient descent ({\tt SGD}) which so far have required different intuitions, convergence analyses, have different applications, and which have been de
Externí odkaz:
http://arxiv.org/abs/1905.11261
Autor:
Friedland, Shmuel
Assume that f is a strict convex function with a unique minimum in R^n. We divide the vector of n-variables to d groups of vector subvariables with d at least two. We assume that we can find the partial minimum of f with respect to each vector subvar
Externí odkaz:
http://arxiv.org/abs/1905.11384
Autor:
Vabishchevich, Petr N.
Some mathematical models of applied problems lead to the need of solving boundary value problems with a fractional power of an elliptic operator. In a number of works, approximations of such a nonlocal operator are constructed on the basis of an inte
Externí odkaz:
http://arxiv.org/abs/1905.10838
Autor:
Drumwright, Evan
This article describes an absolutely stable, first-order constraint solverfor multi-rigid body systems that calculates (predicts) constraint forces for typical bilateral and unilateral constraints, contact constraints with friction, and many other co
Externí odkaz:
http://arxiv.org/abs/1905.10828
The Bartels-Stewart algorithm is a standard approach to solving the dense Sylvester equation. It reduces the problem to the solution of the triangular Sylvester equation. The triangular Sylvester equation is solved with a variant of backward substitu
Externí odkaz:
http://arxiv.org/abs/1905.10574
The new financial European regulations such as PSD2 are changing the retail banking services. Noticeably, the monitoring of the personal expenses is now opened to other institutions than retail banks. Nonetheless, the retail banks are looking to leve
Externí odkaz:
http://arxiv.org/abs/1905.10363
Smart contracts are programs stored and executed on a blockchain. The Ethereum platform, an open-source blockchain-based platform, has been designed to use these programs offering secured protocols and transaction costs reduction. The Ethereum Virtua
Externí odkaz:
http://arxiv.org/abs/1905.09869