Zobrazeno 1 - 10
of 32 226
pro vyhledávání: '"random permutation"'
Autor:
Severo, Daniel
This thesis deals with the problem of communicating and storing non-sequential data. We investigate this problem through the lens of lossless source coding, also sometimes referred to as lossless compression, from both an algorithmic and information-
Externí odkaz:
http://arxiv.org/abs/2411.14879
In pattern recognition, handling uncertainty is a critical challenge that significantly affects decision-making and classification accuracy. Dempster-Shafer Theory (DST) is an effective reasoning framework for addressing uncertainty, and the Random P
Externí odkaz:
http://arxiv.org/abs/2410.22772
The aim of this paper is to improve the large deviation principle for the number of descents in a random permutation by establishing a sharp large deviation principle of any order. We shall also prove a sharp large deviation principle of any order fo
Externí odkaz:
http://arxiv.org/abs/2407.05708
We propose a novel method for privacy-preserving fine-tuning vision transformers (ViTs) with encrypted images. Conventional methods using encrypted images degrade model performance compared with that of using plain images due to the influence of imag
Externí odkaz:
http://arxiv.org/abs/2408.08529
Understanding thermalisation in quantum many-body systems is among the most enduring problems in modern physics. A particularly interesting question concerns the role played by quantum mechanics in this process, i.e. whether thermalisation in quantum
Externí odkaz:
http://arxiv.org/abs/2407.11960
Chatteerjee and Diaconis have recently shown the asymptotic normality for the joint distribution of the number of descents and inverse descents in a random permutation. A noteworthy point of their results is that the asymptotic variance of the normal
Externí odkaz:
http://arxiv.org/abs/2405.13439
Autor:
Charlesworth, Ian, de Santiago, Rolando, Hayes, Ben, Jekel, David, Nelson, Brent, Elayavalli, Srivatsav Kunnawalkam
Graph independence (also known as $\epsilon$-independence or $\lambda$-independence) is a mixture of classical independence and free independence corresponding to graph products or groups and operator algebras. Using conjugation by certain random per
Externí odkaz:
http://arxiv.org/abs/2404.07350
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science(2024)
Random walk is an explainable approach for modeling natural processes at the molecular level. The Random Permutation Set Theory (RPST) serves as a framework for uncertainty reasoning, extending the applicability of Dempster-Shafer Theory. Recent expl
Externí odkaz:
http://arxiv.org/abs/2404.03978
Autor:
Meshulam, Roy, Moyal, Omer
Let $\mathbb{S}_n$ denote the symmetric group on $[n]=\{1,\ldots,n\}$ with the uniform probability measure. For a permutation $\pi \in \mathbb{S}_n$ let $X_{\pi}$ denote the simplicial complex on the vertex set $[n]$ whose simplices are all $\{i_0,\l
Externí odkaz:
http://arxiv.org/abs/2406.19022
Publikováno v:
Complex & Intelligent Systems, Vol 10, Iss 6, Pp 7697-7709 (2024)
Abstract Negation provides a novel perspective for the representation of information. However, current research seldom addresses the issue of negation within the random permutation set theory. Based on the concept of belief reassignment, this paper p
Externí odkaz:
https://doaj.org/article/98a334540dae47cfb799930455662d7f
