Zobrazeno 1 - 10
of 1 125
pro vyhledávání: '"Vandereycken, A."'
We develop an accelerated gradient descent algorithm on the Grassmann manifold to compute the subspace spanned by a number of leading eigenvectors of a symmetric positive semi-definite matrix. This has a constant cost per iteration and a provable ite
Externí odkaz:
http://arxiv.org/abs/2406.18433
Autor:
Carrel, Benjamin, Vandereycken, Bart
The numerical integration of stiff equations is a challenging problem that needs to be approached by specialized numerical methods. Exponential integrators form a popular class of such methods since they are provably robust to stiffness and have been
Externí odkaz:
http://arxiv.org/abs/2312.00172
This paper explores variants of the subspace iteration algorithm for computing approximate invariant subspaces. The standard subspace iteration approach is revisited and new variants that exploit gradient-type techniques combined with a Grassmann man
Externí odkaz:
http://arxiv.org/abs/2306.10379
We consider gradient-related methods for low-rank matrix optimization with a smooth cost function. The methods operate on single factors of the low-rank factorization and share aspects of both alternating and Riemannian optimization. Two possible cho
Externí odkaz:
http://arxiv.org/abs/2306.00897
Autor:
Sutti, Marco, Vandereycken, Bart
We propose two implicit numerical schemes for the low-rank time integration of stiff nonlinear partial differential equations. Our approach uses the preconditioned Riemannian trust-region method of Absil, Baker, and Gallivan, 2007. We demonstrate the
Externí odkaz:
http://arxiv.org/abs/2305.11532
Publikováno v:
Biotechnologie, Agronomie, Société et Environnement, Vol 16, Iss 4, Pp 553-563 (2012)
The Multicolored Asian ladybeetle, Harmonia axyridis (Pallas), native to Asia, is an invasive species in many European and American countries. Initially introduced as a biological control agent against aphids and coccids in greenhouses, this alien sp
Externí odkaz:
https://doaj.org/article/68b39a1f34854fa882e3cf5f4b4e3ac9
Publikováno v:
Biotechnologie, Agronomie, Société et Environnement, Vol 14, Iss 2, Pp 351-367 (2010)
Review: chemical ecology of ladybird beetles. This paper reviews the chemical ecology of ladybird beetles (Coleoptera: Coccinellidae) to present the role of semiochemicals involved in plant-ladybird, prey-ladybird and predator-ladybird interactions.
Externí odkaz:
https://doaj.org/article/52a1de9ce4184bca8ca16cab2172d4ec
Rational approximation is a powerful tool to obtain accurate surrogates for nonlinear functions that are easy to evaluate and linearize. The interpolatory adaptive Antoulas--Anderson (AAA) method is one approach to construct such approximants numeric
Externí odkaz:
http://arxiv.org/abs/2211.12175
Autor:
Alimisis, Foivos, Vandereycken, Bart
We study the convergence of the Riemannian steepest descent algorithm on the Grassmann manifold for minimizing the block version of the Rayleigh quotient of a symmetric matrix. Even though this problem is non-convex in the Euclidean sense and only ve
Externí odkaz:
http://arxiv.org/abs/2209.03480
Tensor trains are a versatile tool to compress and work with high-dimensional data and functions. In this work we introduce the Streaming Tensor Train Approximation (STTA), a new class of algorithms for approximating a given tensor $\mathcal T$ in th
Externí odkaz:
http://arxiv.org/abs/2208.02600