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A novel lower bound is introduced for the full rank probability of random finite field matrices, where a number of elements with known location are identically zero, and remaining elements are chosen independently of each other, uniformly…

Information Theory · Computer Science 2016-08-17 Daniel Salmond , Alex Grant , Ian Grivell , Terence Chan

Identifying leading measurement units from a large collection is a common inference task in various domains of large-scale inference. Testing approaches, which measure evidence against a null hypothesis rather than effect magnitude, tend to…

Methodology · Statistics 2020-11-17 Nicholas C. Henderson , Michael A. Newton

We study parabolic bundles on an algebraic curve in positive characteristic. Our motivation is to properly formulate Frobenius pull-backs of parabolic bundles in a way that extends various previous facts and arguments for the usual…

Algebraic Geometry · Mathematics 2025-09-08 Yasuhiro Wakabayashi

We consider the problem of ranking a set of objects based on their performance when the measurement of said performance is subject to noise. In this scenario, the performance is measured repeatedly, resulting in a range of measurements for…

Performance · Computer Science 2025-02-04 Aravind Sankaran , Lars Karlsson , Paolo Bientinesi

We call an n-tuple Q_1, ..., Q_n of positive definite nxn matrices alpha-conditioned for some alpha > 1 if the ratio of the largest among the eigenvalues of Q_1, ..., Q_n to the smallest among the eigenvalues of Q_1, ..., Q_n does not…

Combinatorics · Mathematics 2015-06-11 Alexander Barvinok

Entity search is a new application meeting either precise or vague requirements from the search engines users. Baidu Cup 2016 Challenge just provided such a chance to tackle the problem of the entity search. We achieved the first place with…

Information Retrieval · Computer Science 2016-08-04 Xiao-Bo Jin , Guang-Gang Geng , Kaizhu Huang , Zhi-Wei Yan

In this article, we take a closer look at the reliability of large minimal networks constructed by repeated compositions of the simplest possible networks. For a given number of devices $n=2^m$ we define the set of all the possible…

Discrete Mathematics · Computer Science 2021-12-14 Vlad-Florin Dragoi , Valeriu Beiu

We formulate argumentative relation classification (support vs. attack) as a text-plausibility ranking task. To this aim, we propose a simple reconstruction trick which enables us to build minimal pairs of plausible and implausible texts by…

Computation and Language · Computer Science 2019-09-20 Juri Opitz

In finite element calculations, the integral forms are usually evaluated using nested loops over elements, and over quadrature points. Many such forms (e.g. linear or multi-linear) can be expressed in a compact way, without the explicit…

Mathematical Software · Computer Science 2021-07-30 Robert Cimrman

We focus on the problem of ranking $N$ objects starting from a set of noisy pairwise comparisons provided by a crowd of unequal workers, each worker being characterized by a specific degree of reliability, which reflects her ability to rank…

Machine Learning · Computer Science 2023-10-04 Alessandro Nordio , Alberto tarable , Emilio Leonardi

The Kemeny method is one of the popular tools for rank aggregation. However, computing an optimal Kemeny ranking is NP-hard. Consequently, the computational task of finding a Kemeny ranking has been studied under the lens of parameterized…

Data Structures and Algorithms · Computer Science 2023-09-08 Koustav De , Harshil Mittal , Palash Dey , Neeldhara Misra

Given an infinite word, enumerating its factors is an important exercise for understanding the structure of the word. The process of finding all the factors is quite tricky for two-dimensional words. In this paper, two possible ways of…

Combinatorics · Mathematics 2023-07-21 Sivasankar Mohankumar , Rama Raghavan

We characterize the class of committee scoring rules that satisfy the fixed-majority criterion. In some sense, the committee scoring rules in this class are multiwinner analogues of the single-winner Plurality rule, which is uniquely…

Computer Science and Game Theory · Computer Science 2016-03-01 Piotr Faliszewski , Piotr Skowron , Arkadii Slinko , Nimrod Talmon

Ranking a vector of alternatives on the basis of a series of paired comparisons is a relevant topic in many instances. A popular example is ranking contestants in sport tournaments. To this purpose, paired comparison models such as the…

Applications · Statistics 2013-01-15 Guido Masarotto , Cristiano Varin

The Spearman footrule is a voting rule that takes as input voter preferences expressed as rankings. It outputs a ranking that minimizes the sum of the absolute differences between the position of each candidate in the ranking and in the…

Computational Complexity · Computer Science 2026-02-26 Martin Durand

Rankings are a type of preference elicitation that arise in experiments where assessors arrange items, for example, in decreasing order of utility. Orderings of n items labelled {1,...,n} denoted are permutations that reflect strict…

Methodology · Statistics 2024-03-20 Luiza S. C. Piancastelli , Nial Friel

We give recurrences, generating functions and explicit exact expressions for the enumeration of fundamental quantities involving runs in binary strings. We first focus on enumerations concerning runs of ones, and we then analyse the same…

Combinatorics · Mathematics 2026-02-13 Félix Balado , Guénolé C. M. Silvestre

We consider the problem of maximizing an unknown function over a compact and convex set using as few observations as possible. We observe that the optimization of the function essentially relies on learning the induced bipartite ranking…

Machine Learning · Statistics 2017-03-08 Cédric Malherbe , Nicolas Vayatis

We define the basket number, the flat plumbing number and the flat plumbing basket number of a link. Then we provide some upperbounds for these plumbing numbers by using Seifert's algorithm. We study the relation between these plumbing…

Geometric Topology · Mathematics 2012-11-13 Yongju Bae , Dongseok Kim , Chan-Young Park

Ranking functions that are used in decision systems often produce disparate results for different populations because of bias in the underlying data. Addressing, and compensating for, these disparate outcomes is a critical problem for fair…

Machine Learning · Computer Science 2024-04-23 Abraham Gale , Amélie Marian