Zobrazeno 1 - 10
of 47 451
pro vyhledávání: '"Pandit A."'
Autor:
Bhaskar, Umang, Pandit, Yeshwant
The existence of EFX allocations is one of the most significant open questions in fair division. Recent work by Christodolou, Fiat, Koutsoupias, and Sgouritsa ("Fair allocation in graphs", EC 2023) establishes the existence of EFX allocations for gra
Externí odkaz:
http://arxiv.org/abs/2412.06513
In the fair division of items among interested agents, envy-freeness is possibly the most favoured and widely studied formalisation of fairness. For indivisible items, envy-free allocations may not exist in trivial cases, and hence research and pract
Externí odkaz:
http://arxiv.org/abs/2411.19881
Classical kernel machines have historically faced significant challenges in scaling to large datasets and model sizes--a key ingredient that has driven the success of neural networks. In this paper, we present a new methodology for building kernel ma
Externí odkaz:
http://arxiv.org/abs/2411.16658
We show that flocking of microswimmers in a turbulent flow can enhance the efficacy of reinforcement-learning-based path-planning of microswimmers in turbulent flows. In particular, we develop a machine-learning strategy that incorporates Vicsek-mode
Externí odkaz:
http://arxiv.org/abs/2411.15902
Recent advances in machine learning have led to increased interest in reproducing kernel Banach spaces (RKBS) as a more general framework that extends beyond reproducing kernel Hilbert spaces (RKHS). These works have resulted in the formulation of re
Externí odkaz:
http://arxiv.org/abs/2411.11242
This systematic review explores the theoretical foundations, evolution, applications, and future potential of Kolmogorov-Arnold Networks (KAN), a neural network model inspired by the Kolmogorov-Arnold representation theorem. KANs distinguish themselv
Externí odkaz:
http://arxiv.org/abs/2411.06078
We explore the relationship between complexity and duality in quantum systems, focusing on how local and non-local operators evolve under time evolution. We find that non-local operators, which are dual to local operators under specific mappings, exh
Externí odkaz:
http://arxiv.org/abs/2411.02546
Despite the popularity of large language model (LLM) quantization for inference acceleration, significant uncertainty remains regarding the accuracy-performance trade-offs associated with various quantization formats. We present a comprehensive empir
Externí odkaz:
http://arxiv.org/abs/2411.02355
We study the Laplacian of the undirected De Bruijn graph over an alphabet $A$ of order $k$. While the eigenvalues of this Laplacian were found in 1998 by Delorme and Tillich [1], an explicit description of its eigenvectors has remained elusive. In th
Externí odkaz:
http://arxiv.org/abs/2410.07622
We show that the Gross-Pitaevskii equation coupled with the wave equation for a wire (GP-W) provides a natural theoretical framework for understanding recent experiments employing a nanowire to detect a single quantum vortex in superfluid $^4 {\rm He
Externí odkaz:
http://arxiv.org/abs/2410.06650