Zobrazeno 1 - 10
of 57 635
pro vyhledávání: '"Perturbation analysis"'
Autor:
Bendidi, Ihab, Whitfield, Shawn, Kenyon-Dean, Kian, Yedder, Hanene Ben, Mesbahi, Yassir El, Noutahi, Emmanuel, Denton, Alisandra K.
Understanding the relationships among genes, compounds, and their interactions in living organisms remains limited due to technological constraints and the complexity of biological data. Deep learning has shown promise in exploring these relationship
Externí odkaz:
http://arxiv.org/abs/2410.13956
The perturbation analysis of linear solvers applied to systems arising broadly in machine learning settings -- for instance, when using linear regression models -- establishes an important perspective when reframing these analyses through the lens of
Externí odkaz:
http://arxiv.org/abs/2410.00878
This paper focuses on the stability of both local and global error bounds for a proper lower semicontinuous convex function defined on a Banach space. Without relying on any dual space information, we first provide precise estimates of error bound mo
Externí odkaz:
http://arxiv.org/abs/2410.03687
Given (orthonormal) approximations $\tilde{U}$ and $\tilde{V}$ to the left and right subspaces spanned by the leading singular vectors of a matrix $A$, we discuss methods to approximate the leading singular values of $A$ and study their accuracy. In
Externí odkaz:
http://arxiv.org/abs/2409.09187
Autor:
Wu, Yan, Wershof, Esther, Schmon, Sebastian M, Nassar, Marcel, Osiński, Błażej, Eksi, Ridvan, Zhang, Kun, Graepel, Thore
We present a comprehensive framework for predicting the effects of perturbations in single cells, designed to standardize benchmarking in this rapidly evolving field. Our framework, PerturBench, includes a user-friendly platform, diverse datasets, me
Externí odkaz:
http://arxiv.org/abs/2408.10609
Autor:
Baumgartner, Lukas, Szmolyan, Peter
The Robertson model describing a chemical reaction involving three reactants is one of the classical examples of stiffness in ODEs. The stiffness is caused by the occurrence of three reaction rates $k_1,\,k_2$, and $k_3$, with largely differing order
Externí odkaz:
http://arxiv.org/abs/2407.04008
The Allen-Cahn equation is a fundamental model for phase transitions, offering critical insights into the dynamics of interface evolution in various physical systems. This paper investigates the stability and robustness of frequently utilized time-di
Externí odkaz:
http://arxiv.org/abs/2406.18393
Gaussian elimination is the most popular technique for solving a dense linear system. Large errors in this procedure can occur in floating point arithmetic when the matrix's growth factor is large. We study this potential issue and how perturbations
Externí odkaz:
http://arxiv.org/abs/2406.00737
The performance of learning models often deteriorates when deployed in out-of-sample environments. To ensure reliable deployment, we propose a stability evaluation criterion based on distributional perturbations. Conceptually, our stability evaluatio
Externí odkaz:
http://arxiv.org/abs/2405.03198