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Automated fact-checking systems often struggle with trustworthiness, as their generated explanations can include hallucinations. In this work, we explore evidence attribution for fact-checking explanation generation. We introduce a novel…

Computation and Language · Computer Science 2025-02-12 Rui Xing , Timothy Baldwin , Jey Han Lau

For the classical maximum coverage problem, the greedy algorithm achieves a worst-case $1-1/e$ approximation, which is optimal unless $\text{P} = \text{NP}$. The notion of coverage appears in a wide range of optimization tasks, where…

Data Structures and Algorithms · Computer Science 2026-04-29 Eric Balkanski , Jason Chatzitheodorou , Flore Sentenac

Consider a coin tossing experiment which consists of tossing one of two coins at a time, according to a renewal process. The first coin is fair and the second has probability $1/2 + \theta$, $\theta \in [-1/2,1/2]$, $\theta$ unknown but…

Probability · Mathematics 2019-03-25 Diego Marcondes , Cláudia Peixoto

We study the problem of automated mechanism design with partial verification, where each type can (mis)report only a restricted set of types (rather than any other type), induced by the principal's limited verification power. We prove…

Computer Science and Game Theory · Computer Science 2021-04-13 Hanrui Zhang , Yu Cheng , Vincent Conitzer

In this paper we present a new object counting method that is intended for counting similarly sized and mostly round objects. Unlike many other algorithms of the same purpose, the proposed method does not rely on identifying every object,…

Computer Vision and Pattern Recognition · Computer Science 2018-07-24 Jans Glagolevs , Karlis Freivalds

In this paper we study possibilities of using hierarchical reasoning, symbol elimination and model generation for the verification of parametric systems, where the parameters can be constants or functions. Our goal is to automatically…

Logic in Computer Science · Computer Science 2019-10-14 Viorica Sofronie-Stokkermans

In a previous paper, an implementable algorithm was introduced to compute discrete solutions of sweeping processes (i.e. specific first order differential inclusions). The convergence of this numerical scheme was proved thanks to…

Numerical Analysis · Mathematics 2014-03-31 Frederic Bernicot , Juliette Venel

Rejection Sampling is a fundamental Monte-Carlo method. It is used to sample from distributions admitting a probability density function which can be evaluated exactly at any given point, albeit at a high computational cost. However,…

Machine Learning · Statistics 2018-10-23 Juliette Achdou , Joseph C. Lam , Alexandra Carpentier , Gilles Blanchard

An uncomplicated and easily handling prescription that converts the task of checking the unitarity of massive, topologically massive, models into a straightforward algebraic exercise, is developed. The algorithm is used to test the…

High Energy Physics - Theory · Physics 2009-11-11 Antonio Accioly , Marco Dias

We verify the correctness of a variety of mutual exclusion algorithms through model checking. We look at algorithms where communication is via shared read/write registers, where those registers can be atomic or non-atomic. For the…

Logic in Computer Science · Computer Science 2025-07-18 Rob van Glabbeek , Bas Luttik , Myrthe Spronck

This note describes an algorithm for enumerating all the elements in a finite set based on uniformly random sampling from the set. This algorithm can be used for enumeration by fair sampling with quantum annealing. Our algorithm is based on…

Quantum Physics · Physics 2021-04-06 Yuta Mizuno , Tamiki Komatsuzaki

We describe a simple method for making inference on a functional of a multivariate distribution. The method is based on a copula representation of the multivariate distribution and it is based on the properties of an Approximate Bayesian…

Methodology · Statistics 2017-07-18 Clara Grazian , Brunero Liseo

Counterfactual inference considers a hypothetical intervention in a parallel world that shares some evidence with the factual world. If the evidence specifies a conditional distribution on a manifold, counterfactuals may be analytically…

Machine Learning · Statistics 2024-07-03 Juha Karvanen , Santtu Tikka , Matti Vihola

Machine-learned systems are in widespread use for making decisions about humans, and it is important that they are fair, i.e., not biased against individuals based on sensitive attributes. We present runtime verification of algorithmic…

Computers and Society · Computer Science 2023-05-26 Thomas A. Henzinger , Mahyar Karimi , Konstantin Kueffner , Kaushik Mallik

Dempster-Shafer evidence theory is wildly applied in multi-sensor data fusion. However, lots of uncertainty and interference exist in practical situation, especially in the battle field. It is still an open issue to model the reliability of…

Other Computer Science · Computer Science 2017-05-03 Zichang He , Wen Jiang

If several independent algorithms for a computer-calculated quantity exist, then one can expect their results (which differ because of numerical errors) to follow approximately Gaussian distribution. The mean of this distribution,…

General Mathematics · Mathematics 2017-07-03 Andrej Liptaj

A considerable body of work in AI has been concerned with aggregating measures of confirmatory and disconfirmatory evidence for a common set of propositions. Claiming classical probability to be inadequate or inappropriate, several…

Artificial Intelligence · Computer Science 2013-04-15 Benjamin N. Grosof

We consider (approximate) revenue maximization in auctions where the distribution on input valuations is given via "black box" access to samples from the distribution. We observe that the number of samples required -- the sample complexity…

Computer Science and Game Theory · Computer Science 2014-04-04 Shaddin Dughmi , Li Han , Noam Nisan

In this paper, we will present an algorithm to resolve the counterfeit coins problem in the case that the number of false coins is unknown in advance.

Combinatorics · Mathematics 2010-04-06 An-Ping Li

We revisit the classic problem of fair division from a mechanism design perspective, using {\em Proportional Fairness} as a benchmark. In particular, we aim to allocate a collection of divisible items to a set of agents while incentivizing…

Computer Science and Game Theory · Computer Science 2014-02-26 Richard Cole , Vasilis Gkatzelis , Gagan Goel