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We study the problem of multi-class classification under system-level constraints expressible as linear functionals over randomized classifiers. We propose a post-processing approach that adjusts a given base classifier to satisfy general…

Optimization and Control · Mathematics 2025-12-17 Evgenii Chzhen , Mohamed Hebiri , Gayane Taturyan

Large optimization problems with hard constraints arise in many settings, yet classical solvers are often prohibitively slow, motivating the use of deep networks as cheap "approximate solvers." Unfortunately, naive deep learning approaches…

Machine Learning · Computer Science 2021-04-27 Priya L. Donti , David Rolnick , J. Zico Kolter

The Satisfiability (SAT) problem is a core challenge with significant applications in software engineering, including automated testing, configuration management, and program verification. This paper presents SolSearch, a novel framework…

Software Engineering · Computer Science 2025-02-21 Junjie Sheng , Yanqiu Lin , Jiehao Wu , Yanhong Huang , Jianqi Shi , Min Zhang , Xiangfeng Wang

Local consistency techniques such as k-consistency are a key component of specialised solvers for constraint satisfaction problems. In this paper we show that the power of using k-consistency techniques on a constraint satisfaction problem…

Artificial Intelligence · Computer Science 2014-01-21 Peter Jeavons , Justyna Petke

A new approach to solving a class of rankconstrained semi-definite programming (SDP) problems, which appear in many signal processing applications such as transmit beamspace design in multiple-input multiple-output (MIMO) radar, downlink…

Information Theory · Computer Science 2016-10-10 Matthew W. Morency , Sergiy A. Vorobyov

We present a novel direct transcription method to solve optimization problems subject to nonlinear differential and inequality constraints. We prove convergence of our numerical method under reasonably mild assumptions: boundedness and…

Optimization and Control · Mathematics 2021-04-09 Martin P. Neuenhofen , Eric C. Kerrigan

In this paper we study the fundamental problem of maintaining a dynamic collection of strings under the following operations: concat - concatenates two strings, split - splits a string into two at a given position, compare - finds the…

Data Structures and Algorithms · Computer Science 2016-04-11 Paweł Gawrychowski , Adam Karczmarz , Tomasz Kociumaka , Jakub Łącki , Piotr Sankowski

Finding tight bounds on the optimal solution is a critical element of practical solution methods for discrete optimization problems. In the last decade, decision diagrams (DDs) have brought a new perspective on obtaining upper and lower…

Artificial Intelligence · Computer Science 2019-02-28 Quentin Cappart , Emmanuel Goutierre , David Bergman , Louis-Martin Rousseau

Streamliner constraints reduce the search space of combinatorial problems by ruling out portions of the solution space. We adapt the StreamLLM approach, which uses Large Language Models (LLMs) to generate streamliners for Constraint…

Logic in Computer Science · Computer Science 2026-04-22 Florentina Voboril , Martin Gebser , Stefan Szeider , Alice Tarzariol

This paper analyzes to what extent it is possible to efficiently reduce the number of clauses in NP-hard satisfiability problems, without changing the answer. Upper and lower bounds are established using the concept of kernelization.…

Computational Complexity · Computer Science 2019-07-01 Bart M. P. Jansen , Astrid Pieterse

The paper is devoted to an analysis of a new constraint qualification and a derivation of the strongest existing optimality conditions for nonsmooth mathematical programming problems with equality and inequality constraints in terms of…

Optimization and Control · Mathematics 2020-11-19 M. V. Dolgopolik

String matching is a fundamental problem in computer science, with critical applications in text retrieval, bioinformatics, and data analysis. Among the numerous solutions that have emerged for this problem in recent decades,…

Data Structures and Algorithms · Computer Science 2025-03-10 Simone Faro , Arianna Pavone , Caterina Viola

We describe a substring search problem that arises in group presentation simplification processes. We suggest a two-level searching model: skip and match levels. We give two timestamp algorithms which skip searching parts of the text where…

Group Theory · Mathematics 2009-09-25 George Havas , Jin Xian Lian

Object rearrangement is important for many applications but remains challenging, especially in confined spaces, such as shelves, where objects cannot be accessed from above and they block reachability to each other. Such constraints require…

Robotics · Computer Science 2022-10-14 Rui Wang , Kai Gao , Jingjin Yu , Kostas Bekris

Determining whether an unordered collection of overlapping substrings (called shingles) can be uniquely decoded into a consistent string is a problem that lies within the foundation of a broad assortment of disciplines ranging from…

Discrete Mathematics · Computer Science 2012-04-17 Aryeh Kontorovich , Ari Trachtenberg

In this paper, we present a new framework how a PDE with constraints can be formulated into a sequence of PDEs with no constraints, whose solutions are convergent to the solution of the PDE with constraints. This framework is then used to…

Numerical Analysis · Mathematics 2024-05-28 Jiwei Jia , Young Ju Lee , Ruitong Shan

Existing task-oriented conversational search systems heavily rely on domain ontologies with pre-defined slots and candidate value sets. In practical applications, these prerequisites are hard to meet, due to the emerging new user…

Computation and Language · Computer Science 2023-05-09 Yuxia Wu , Tianhao Dai , Zhedong Zheng , Lizi Liao

We study planning in a fragment of PDDL with qualitative state-trajectory constraints, capturing safety requirements, task ordering conditions, and intermediate sub-goals commonly found in real-world problems. A prominent approach to tackle…

Artificial Intelligence · Computer Science 2026-05-05 Periklis Mantenoglou , Luigi Bonassi , Enrico Scala , Pedro Zuidberg Dos Martires

Dates and calendar periods (i.e., days, months, years) appear frequently in tasks involving analysis of software, data, and documents. Prior research has shown that computer logic involving dates and calendrical calculations is error-prone…

Logic in Computer Science · Computer Science 2026-05-26 Leyi Cui , Shrey Tiwari , Rohan Padhye

In this paper we study a variant of string pattern matching which deals with tuples of strings known as \textit{multi-track strings}. Multi-track strings are a generalisation of strings (or \textit{single-track strings}) that have primarily…

Data Structures and Algorithms · Computer Science 2019-12-02 Carl Barton , Ewan Birney , Tomas Fitzgerald
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