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Fast matching of regular expressions with bounded repetition, aka counting, such as (ab){50,100}, i.e., matching linear in the length of the text and independent of the repetition bounds, has been an open problem for at least two decades.…

Formal Languages and Automata Theory · Computer Science 2023-01-31 Lukáš Holík , Juraj Síč , Lenka Turoňová , Tomáš Vojnar

Open-domain question answering aims at solving the task of locating the answers to user-generated questions in massive collections of documents. There are two families of solutions available: retriever-readers, and knowledge-graph-based…

Computation and Language · Computer Science 2020-10-26 Jinfeng Xiao , Lidan Wang , Franck Dernoncourt , Trung Bui , Tong Sun , Jiawei Han

In this short paper we present a linear constraint solver for the UniCalc system, an environment for reliable solution of mathematical modeling problems.

Mathematical Software · Computer Science 2007-05-23 E. Petrov , Yu. Kostov , E. Botoeva

We propose an approach to fair classification that enforces independence between the classifier outputs and sensitive information by minimizing Wasserstein-1 distances. The approach has desirable theoretical properties and is robust to…

Machine Learning · Statistics 2019-07-30 Ray Jiang , Aldo Pacchiano , Tom Stepleton , Heinrich Jiang , Silvia Chiappa

We present a new approach to the global fairness verification of tree-based classifiers. Given a tree-based classifier and a set of sensitive features potentially leading to discrimination, our analysis synthesizes sufficient conditions for…

Machine Learning · Computer Science 2022-09-28 Stefano Calzavara , Lorenzo Cazzaro , Claudio Lucchese , Federico Marcuzzi

Approximate solutions of the Fisher equation obtained by different splitting methods are investigated. The error of this nonlinear problem is analyzed. The order of different splitting methods coupled with numerical methods of different…

Numerical Analysis · Mathematics 2011-03-23 Tamás Ladics

This paper presents an original solution for flexible hand-written text division into rows. Unlike the standard procedure, the proposed method avoids the isolated characters extensions amputation and reduces the recognition error rate in…

Other Computer Science · Computer Science 2009-06-01 Dan L. Lacrama , Ioan Snep

We present a general formula for the particular solution of an inhomogeneous linear difference equation with variable coefficients. The answer is expressed as a weighted sum of fundamental solutions of the associated linear difference…

Combinatorics · Mathematics 2025-03-26 S. R. Mane

In algorithmically fair prediction problems, a standard goal is to ensure the equality of fairness metrics across multiple overlapping groups simultaneously. We reconsider this standard fair classification problem using a probabilistic…

Machine Learning · Computer Science 2020-06-25 Forest Yang , Moustapha Cisse , Sanmi Koyejo

This paper addresses the task of readability assessment for the texts aimed at second language (L2) learners. One of the major challenges in this task is the lack of significantly sized level-annotated data. For the present work, we…

Computation and Language · Computer Science 2019-06-19 Menglin Xia , Ekaterina Kochmar , Ted Briscoe

We give a short and easy upper bound on the worst-case size of fault tolerant spanners, which improves on all prior work and is fully optimal at least in the setting of vertex faults.

Data Structures and Algorithms · Computer Science 2019-06-04 Greg Bodwin , Shyamal Patel

We consider the problem of automated assignment of papers to reviewers in conference peer review, with a focus on fairness and statistical accuracy. Our fairness objective is to maximize the review quality of the most disadvantaged paper,…

Machine Learning · Statistics 2019-11-18 Ivan Stelmakh , Nihar B. Shah , Aarti Singh

A new understanding of the notion of regularizer is proposed. It is argued that this new notion is more realistic than the old one and better fits the practical computational needs. An example of the regularizer in the new sense is given. A…

Numerical Analysis · Mathematics 2025-10-20 A. G. Ramm

Large Language Models (LLMs) have shown impressive reasoning capabilities, yet existing prompting methods face a critical trade-off: simple approaches often struggle with complex tasks and reasoning stability, while more sophisticated…

Computation and Language · Computer Science 2025-07-11 Guangya Wan , Yuqi Wu , Hao Wang , Shengming Zhao , Jie Chen , Sheng Li

We derive an efficient algorithm to find solutions to Euler's concordant form problem and rational points on elliptic curves associated with this problem.

Algebraic Geometry · Mathematics 2019-07-05 Hagen Knaf , Erich Selder , Karlheinz Spindler

The obstacle problem is a class of free boundary problems which finds applications in many disciplines such as porous media, financial mathematics and optimal control. In this paper, we propose two operator-splitting methods to solve the…

Numerical Analysis · Mathematics 2023-02-08 Hao Liu , Dong Wang

In this paper, we consider the problem of fair statistical inference involving outcome variables. Examples include classification and regression problems, and estimating treatment effects in randomized trials or observational data. The…

Machine Learning · Statistics 2018-01-23 Razieh Nabi , Ilya Shpitser

Existing bias mitigation methods to reduce disparities in model outcomes across cohorts have focused on data augmentation, debiasing model embeddings, or adding fairness-based optimization objectives during training. Separately, certified…

Computation and Language · Computer Science 2021-06-22 Yada Pruksachatkun , Satyapriya Krishna , Jwala Dhamala , Rahul Gupta , Kai-Wei Chang

We discuss alternative iteration methods for differential equations. We provide a convergence proof for exactly solvable examples and show more convenient formulas for nontrivial problems.

Mathematical Physics · Physics 2007-05-23 Paolo Amore , Hakan Ciftci , Francisco M. Fernandez

Deep learning is increasingly being used in high-stake decision making applications that affect individual lives. However, deep learning models might exhibit algorithmic discrimination behaviors with respect to protected groups, potentially…

Machine Learning · Computer Science 2020-03-20 Mengnan Du , Fan Yang , Na Zou , Xia Hu
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