Zobrazeno 1 - 10
of 26 522
pro vyhledávání: '"A, Mokhtari"'
Mixtures of Experts (MoE) are Machine Learning models that involve partitioning the input space, with a separate "expert" model trained on each partition. Recently, MoE have become popular as components in today's large language models as a means to
Externí odkaz:
http://arxiv.org/abs/2411.06056
Autor:
Block, Jacob L., Srinivasan, Sundararajan, Collins, Liam, Mokhtari, Aryan, Shakkottai, Sanjay
The power of foundation models (FMs) lies in their capacity to learn highly expressive representations that can be adapted to a broad spectrum of tasks. However, these pretrained models require multiple stages of fine-tuning to become effective for d
Externí odkaz:
http://arxiv.org/abs/2410.22264
This work revisits the classical low-rank matrix factorization problem and unveils the critical role of initialization in shaping convergence rates for such nonconvex and nonsmooth optimization. We introduce Nystrom initialization, which significantl
Externí odkaz:
http://arxiv.org/abs/2410.18965
Optimal transport on a graph focuses on finding the most efficient way to transfer resources from one distribution to another while considering the graph's structure. This paper introduces a new distributed algorithm that solves the optimal transport
Externí odkaz:
http://arxiv.org/abs/2410.05509
The electrical network reconfiguration problem aims to minimize losses in a distribution system by adjusting switches while ensuring radial topology. The growing use of renewable energy and the complexity of managing modern power grids make solving t
Externí odkaz:
http://arxiv.org/abs/2410.04604
Autor:
Jiang, Ruichen, Mokhtari, Aryan
In this paper, we propose a quasi-Newton method for solving smooth and monotone nonlinear equations, including unconstrained minimization and minimax optimization as special cases. For the strongly monotone setting, we establish two global convergenc
Externí odkaz:
http://arxiv.org/abs/2410.02626
Calculating the out-of-equilibrium dynamics of many-body quantum systems theoretically is a challenging problem. Essentially exact results can be obtained for the out-of-equilibrium correlations in the Bose-Hubbard model in one dimension, but higher
Externí odkaz:
http://arxiv.org/abs/2409.18225
Autor:
Mokhtari, Fahimeh
In this paper, we explore the normal form of fully inhomogeneous feed forward network dynamical systems, characterized by a nilpotent linear component. We introduce a new normal form method, termed the triangular $\mathfrak{sl}_2$-style, to categoriz
Externí odkaz:
http://arxiv.org/abs/2408.07447
Autor:
Zhong, Xian, Salahuddin, Zohaib, Chen, Yi, Woodruff, Henry C, Long, Haiyi, Peng, Jianyun, Udawatte, Nuwan, Casale, Roberto, Mokhtari, Ayoub, Zhang, Xiaoer, Huang, Jiayao, Wu, Qingyu, Tan, Li, Chen, Lili, Li, Dongming, Xie, Xiaoyan, Lin, Manxia, Lambin, Philippe
Artificial intelligence (AI)-based decision support systems have demonstrated value in predicting post-hepatectomy liver failure (PHLF) in hepatocellular carcinoma (HCC). However, they often lack transparency, and the impact of model explanations on
Externí odkaz:
http://arxiv.org/abs/2408.03771
Publikováno v:
Fixed Point Theory 25:2 (2024), 667-676
In this paper, existence of pairs of solutions is obtained for compact potential operators on Hilbert spaces. An application to a second-order boundary value problem is also given as an illustration of our results.
Externí odkaz:
http://arxiv.org/abs/2407.17128