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Let $n\geq 2$ and $\mathbb K $ be a number field of characteristic $0$. Jacobian Conjecture asserts for a polynomial map $\mathcal P$ from $\mathbb K ^n$ to itself, if the determinant of its Jacobian matrix is a nonzero constant in $\mathbb…

综合数学 · 数学 2020-05-19 Jiang Liu

Assistance games (also known as cooperative inverse reinforcement learning games) have been proposed as a model for beneficial AI, wherein a robotic agent must act on behalf of a human principal but is initially uncertain about the humans…

人工智能 · 计算机科学 2020-07-21 Arnaud Fickinger , Simon Zhuang , Dylan Hadfield-Menell , Stuart Russell

Using a novel rewriting problem, we show that several natural decision problems about finite automata are undecidable (i.e., recursively unsolvable). In contrast, we also prove three related problems are decidable. We apply one result to…

形式语言与自动机理论 · 计算机科学 2017-03-01 Jörg Endrullis , Jeffrey Shallit , Tim Smith

The area of Handwritten Signature Verification has been broadly researched in the last decades, but remains an open research problem. In offline (static) signature verification, the dynamic information of the signature writing process is…

计算机视觉与模式识别 · 计算机科学 2019-01-23 Sourya Dipta Das , Himanshu Ladia , Vaibhav Kumar , Shivansh Mishra

Fields such as the philosophy of language, continental philosophy, and literary studies have long established that human language is, at its essence, ambiguous and that this quality, although challenging to communication, enriches language…

计算与语言 · 计算机科学 2020-11-24 Victor Makarenkov , Yael Segalovitz

The Ricordi archive, a prestigious collection of significant musical manuscripts from renowned opera composers such as Donizetti, Verdi and Puccini, has been digitized. This process has allowed us to automatically extract samples that…

计算机视觉与模式识别 · 计算机科学 2024-08-21 Federico Simonetta , Rishav Mondal , Luca Andrea Ludovico , Stavros Ntalampiras

Every computable function has to be continuous. To develop computability theory of discontinuous functions, we study low levels of the arithmetical hierarchy of nonuniformly computable functions on Baire space. First, we classify…

逻辑 · 数学 2013-09-10 Kojiro Higuchi , Takayuki Kihara

Objectives: This paper incorporates time as a crucial variable to identify key players in criminal networks and explores how actors' positions change over time. It then assesses the accuracy of the results against the uncertainty around…

社会与信息网络 · 计算机科学 2025-09-11 Daniel Catlin , Giulia Berlusconi , David J. B. Lloyd

In 1943 from September to December Kiyoshi Oka wrote a series of papers numbered from VII to XI, as the research reports to Teiji Takagi (then, Professor of Tokyo Imperial University), in which he solved affirmatively the so-called Levi…

复变函数 · 数学 2022-04-29 Junjiro Noguchi

We introduce and study Minkowski games. These are two player games, where the players take turns to chose positions in $\mathbb{R}^d$ based on some rules. Variants include boundedness games, where one player wants to keep the positions…

计算机科学与博弈论 · 计算机科学 2016-11-28 Stéphane Le Roux , Arno Pauly , Jean-François Raskin

We study the degree to which a character string, $Q$, leaks details about itself any time it engages in comparison protocols with a strings provided by a querier, Bob, even if those protocols are cryptographically guaranteed to produce no…

数据结构与算法 · 计算机科学 2016-11-15 Michael T. Goodrich

This article evaluates how creative uses of machine learning can address three adjacent terms: ambiguity, uncertainty and indeterminacy. Through the progression of these concepts it reflects on increasing ambitions for machine learning as a…

计算机与社会 · 计算机科学 2025-01-22 Tom Holberton

We present an algebraic framework for the analysis of combinatorial games. This framework embraces the classical theory of partizan games as well as a number of misere games, comply-constrain games, and card games that have been studied…

组合数学 · 数学 2009-12-03 Johan Wästlund

This paper deals with the Kirchhoff-law-Johnson-noise (KLJN) classical statistical physical key exchange method and surveys criticism - often stemming from a lack of understanding of its underlying premises or from other errors - and our…

新兴技术 · 计算机科学 2015-03-30 Laszlo B. Kish , Derek Abbott , Claes-Goran Granqvist , He Wen

Autonomous agents have made great strides in specialist domains like Atari games and Go. However, they typically learn tabula rasa in isolated environments with limited and manually conceived objectives, thus failing to generalize across a…

This paper reconsiders the problem of the absent-minded driver who must choose between alternatives with different payoff with imperfect recall and varying degrees of knowledge of the system. The classical absent-minded driver problem…

人工智能 · 计算机科学 2017-02-21 Subhash Kak

In a zero-sum stochastic game with signals, at each stage, two adversary players take decisions and receive a stage payoff determined by these decisions and a variable called state. The state follows a Markov chain, that is controlled by…

最优化与控制 · 数学 2021-12-02 Bruno Ziliotto

Many conferences rely on paper bidding as a key component of their reviewer assignment procedure. These bids are then taken into account when assigning reviewers to help ensure that each reviewer is assigned to suitable papers. However,…

人工智能 · 计算机科学 2022-07-26 Steven Jecmen , Nihar B. Shah , Fei Fang , Vincent Conitzer

Alan Turing is considered as a founder of current computer science together with Kurt Godel, Alonzo Church and John von Neumann. In this paper multiple new research results are presented. It is demonstrated that there would not be Alan…

计算与语言 · 计算机科学 2026-05-04 Eugene Eberbach

This paper describes a combinatorial way of obtaining all the eigenvalues of the symmetrized shuffling operators introduced by Victor Reiner, Franco Saliola and Volkmar Welker. It allows us to prove their conjecture that these eigenvalues…

组合数学 · 数学 2019-03-25 Nadia Lafrenière
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