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We propose a novel sparse preference learning/ranking algorithm. Our algorithm approximates the true utility function by a weighted sum of basis functions using the squared loss on pairs of data points, and is a generalization of the kernel…

机器学习 · 统计学 2013-07-04 Evgeni Tsivtsivadze , Tom Heskes

This paper addresses the challenges of aligning large language models (LLMs) with human values via preference learning (PL), focusing on incomplete and corrupted data in preference datasets. We propose a novel method for robustly and…

人工智能 · 计算机科学 2025-10-30 Son The Nguyen , Niranjan Uma Naresh , Theja Tulabandhula

In light of recent data science trends, new interest has fallen in alternative matrix factorizations. By this, we mean various ways of factorizing particular data matrices so that the factors have special properties and reveal insights into…

最优化与控制 · 数学 2023-02-21 Andries Steenkamp

Crucial to an Evolutionary Algorithm's performance is its selection scheme. We mathematically investigate the relation between polynomial rank and probabilistic tournament methods which are (respectively) generalisations of the popular…

神经与进化计算 · 计算机科学 2008-06-26 Kassel Hingee , Marcus Hutter

This article presents a validation of a recently proposed strongly polynomial-time algorithm for the general linear programming problem. The proposed algorithm is an implicit reduction procedure that combines primal and dual linear…

最优化与控制 · 数学 2026-04-28 Samuel Awoniyi

We address the fundamental problem of selection under uncertainty by modeling it from the perspective of Bayesian persuasion. In our model, a decision maker with imperfect information always selects the option with the highest expected…

计算机科学与博弈论 · 计算机科学 2024-10-16 Siddhartha Banerjee , Kamesh Munagala , Yiheng Shen , Kangning Wang

Several distinct techniques have been proposed to design quasi-polynomial algorithms for solving parity games since the breakthrough result of Calude, Jain, Khoussainov, Li, and Stephan (2017): play summaries, progress measures and register…

形式语言与自动机理论 · 计算机科学 2020-01-15 Wojciech Czerwiński , Laure Daviaud , Nathanaël Fijalkow , Marcin Jurdziński , Ranko Lazić , Paweł Parys

The adoption of automated, data-driven decision making in an ever expanding range of applications has raised concerns about its potential unfairness towards certain social groups. In this context, a number of recent studies have focused on…

Classic cache-oblivious parallel matrix multiplication algorithms achieve optimality either in time or space, but not both, which promotes lots of research on the best possible balance or tradeoff of such algorithms. We study modern…

分布式、并行与集群计算 · 计算机科学 2019-11-14 Yuan Tang

In peer selection agents must choose a subset of themselves for an award or a prize. As agents are self-interested, we want to design algorithms that are impartial, so that an individual agent cannot affect their own chance of being…

计算机科学与博弈论 · 计算机科学 2020-05-01 Nicholas Mattei , Paolo Turrini , Stanislav Zhydkov

We introduce the novel notion of winning cores in parity games and develop a deterministic polynomial-time under-approximation algorithm for solving parity games based on winning core approximation. Underlying this algorithm are a number…

计算机科学与博弈论 · 计算机科学 2016-02-08 Steen Vester

We propose a novel algorithm for the solution of mean-payoff games that merges together two seemingly unrelated concepts introduced in the context of parity games, small progress measures and quasi dominions. We show that the integration of…

计算机科学中的逻辑 · 计算机科学 2019-07-16 Massimo Benerecetti , Daniele Dell'Erba , Fabio Mogavero

We study algorithms for solving parity, mean-payoff and energy games. We propose a systematic framework, which we call Fast value iteration, for describing, comparing, and proving correctness of such algorithms. The approach is based on…

计算机科学与博弈论 · 计算机科学 2025-02-13 Michaël Cadilhac , Antonio Casares , Pierre Ohlmann

Recently Cristian S. Calude, Sanjay Jain, Bakhadyr Khoussainov, Wei Li and Frank Stephan proposed a quasi-polynomial time algorithm for parity games. This paper proposes a short proof of correctness of their algorithm.

形式语言与自动机理论 · 计算机科学 2017-04-25 Hugo Gimbert , Rasmus Ibsen-Jensen

The purpose of this text is to provide an accessible introduction to a set of recently developed algorithms for factorizing matrices. These new algorithms attain high practical speed by reducing the dimensionality of intermediate…

数值分析 · 数学 2019-02-08 Per-Gunnar Martinsson

Efficiently reranking documents retrieved from information retrieval (IR) pipelines to enhance overall quality of Retrieval-Augmented Generation (RAG) system remains an important yet challenging problem. Recent studies have highlighted the…

计算与语言 · 计算机科学 2025-11-12 Jingyu Wu , Aditya Shrivastava , Jing Zhu , Alfy Samuel , Anoop Kumar , Daben Liu

We present a partial operator-theoretic characterization of approachability principle and based on this characterization, we interpret a particular distributed payoff allocation algorithm to be a sequence of time-varying paracontractions.…

系统与控制 · 电气工程与系统科学 2019-12-02 Aitazaz Ali Raja , Sergio Grammatico

Matrix factorization is a common machine learning technique for recommender systems. Despite its high prediction accuracy, the Bayesian Probabilistic Matrix Factorization algorithm (BPMF) has not been widely used on large scale data because…

分布式、并行与集群计算 · 计算机科学 2017-05-12 Tom Vander Aa , Imen Chakroun , Tom Haber

We consider potential games with mixed-integer variables, for which we propose two distributed, proximal-like equilibrium seeking algorithms. Specifically, we focus on two scenarios: i) the underlying game is generalized ordinal and the…

最优化与控制 · 数学 2022-10-28 Filippo Fabiani , Barbara Franci , Simone Sagratella , Martin Schmidt , Mathias Staudigl

Calude et al. have recently shown that parity games can be solved in quasi-polynomial time, a landmark result that has led to a number of approaches with quasi-polynomial complexity. Jurdinski and Lasic have further improved the precise…

数据结构与算法 · 计算机科学 2022-11-18 Daniele Dell'Erba , Sven Schewe