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Consider a finite set of sources, each producing i.i.d. observations that follow a unique probability distribution on a finite alphabet. We study the problem of matching a finite set of observed sequences to the set of sources under the…

Information Theory · Computer Science 2014-12-09 Jayakrishnan Unnikrishnan

We are concerned with the problem of designing large families of subsets over a common labeled ground set that have small pairwise intersections and the property that the maximum discrepancy of the label values within each of the sets is…

Information Theory · Computer Science 2019-01-18 R. Gabrys , H. S. Dau , C. J. Colbourn , O. Milenkovic

Large Language Models have recently been applied to text annotation tasks from social sciences, equalling or surpassing the performance of human workers at a fraction of the cost. However, no inquiry has yet been made on the impact of…

Computation and Language · Computer Science 2025-03-11 Louis Abraham , Charles Arnal , Antoine Marie

The shape of allele-frequency clines maintained by migration-selection balance depends not only on the properties of migration and selection, but also on the dominance relations among alleles and on linkage to other loci under selection. We…

Populations and Evolution · Quantitative Biology 2018-12-18 Reinhard Bürger

By employing a recently introduced optimization algorithm we explicitely design optimally synchronizable (unweighted) networks for any given scale-free degree distribution. We explore how the optimization process affects degree-degree…

Disordered Systems and Neural Networks · Physics 2009-11-13 Luca Donetti , Pablo I. Hurtado , Miguel A. Munoz

The index coding problem is studied from an interference alignment perspective, providing new results as well as new insights into, and generalizations of, previously known results. An equivalence is established between multiple unicast…

Information Theory · Computer Science 2012-05-08 Hamed Maleki , Viveck R. Cadambe , Syed A. Jafar

The problem of finding factors of a text string which are identical or similar to a given pattern string is a central problem in computer science. A generalised version of this problem consists in implementing an index over the text to…

Data Structures and Algorithms · Computer Science 2016-02-04 Carl Barton , Tomasz Kociumaka , Solon P. Pissis , Jakub Radoszewski

We propose an analytical technique to study large fluctuations and switching from internal noise in complex networks. Using order-disorder kinetics as a generic example, we construct and analyze the most probable, or optimal path of…

Physics and Society · Physics 2017-09-07 Jason Hindes , Ira B. Schwartz

A pattern $\alpha$ is a string of variables and terminal letters. We say that $\alpha$ matches a word $w$, consisting only of terminal letters, if $w$ can be obtained by replacing the variables of $\alpha$ by terminal words. The matching…

Data Structures and Algorithms · Computer Science 2022-07-18 Paweł Gawrychowski , Florin Manea , Stefan Siemer

In this paper, locally repairable codes with all-symbol locality are studied. Methods to modify already existing codes are presented. Also, it is shown that with high probability, a random matrix with a few extra columns guaranteeing the…

Information Theory · Computer Science 2014-08-04 Toni Ernvall , Thomas Westerbäck , Camilla Hollanti

Large language models (LLMs) perform very well in several natural language processing tasks but raise explainability challenges. In this paper, we examine the effect of random elements in the training of LLMs on the explainability of their…

Evaluations of large language models (LLMs) suffer from instability, where small changes of random factors such as few-shot examples can lead to drastic fluctuations of scores and even model rankings. Moreover, different LLMs can have…

Machine Learning · Computer Science 2025-09-17 Yiyang Li , Yonghuang Wu , Ying Luo , Liangtai Sun , Zishu Qin , Lin Qiu , Xuezhi Cao , Xunliang Cai

Detecting AI-generated text is an important but challenging problem. Existing likelihood-based detection methods are often sensitive to content complexity and may exhibit unstable performance. In this paper, our key insight is that modern…

Artificial Intelligence · Computer Science 2026-04-21 Junxi Wu , Kailin Huang , Dongjian Hu , Bin Chen , Hao Wu , Shu-Tao Xia , Changliang Zou

Word matches are often used in sequence comparison methods, either as a measure of sequence similarity or in the first search steps of algorithms such as BLAST or BLAT. The D2 statistic is the number of matches of words of k letters between…

Quantitative Methods · Quantitative Biology 2009-09-09 Sylvain Foret , Susan R. Wilson , Conrad J. Burden

The presence of specific linguistic signals particular to a certain sub-group can become highly salient to language models during training. In automated decision-making settings, this may lead to biased outcomes when models rely on cues…

Computation and Language · Computer Science 2025-09-05 Charmaine Barker , Dimitar Kazakov

This article develops a method to construct the optimal sequential test for monitoring the changes in the distribution of finite observation sequences with a general dependence structure. This method allows us to prove that different…

Statistics Theory · Mathematics 2019-08-01 Dong Han , Fugee Tsung , Jinguo Xian

Exchangeability -- in which the distribution of an infinite sequence is invariant to reorderings of its elements -- implies the existence of a simple conditional independence structure that may be leveraged in the design of statistical…

Statistics Theory · Mathematics 2022-07-25 Trevor Campbell , Saifuddin Syed , Chiao-Yu Yang , Michael I. Jordan , Tamara Broderick

The performance of coverage-based fault localization greatly depends on the quality of test cases being executed. These test cases execute some lines of the given program and determine whether the underlying tests are passed or failed. In…

Software Engineering · Computer Science 2020-06-17 Shuvalaxmi Dass , Xiaozhen Xue , Akbar Siami Namin

A well-engineered prompt can increase the performance of large language models; automatic prompt optimization techniques aim to increase performance without requiring human effort to tune the prompts. One leading class of prompt…

Computation and Language · Computer Science 2025-12-16 Daniel Melcer , Qi Chen , Wen-Hao Chiang , Shweta Garg , Pranav Garg , Christian Bock

There is a lack of an evaluation methodology that estimates the extent to which large language models (LLMs) use code-switching (CS) in the same way as bilinguals. Existing methods do not have wide language coverage, fail to account for the…

Computation and Language · Computer Science 2025-07-29 Igor Sterner , Simone Teufel