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A sequential piecewise linear programming method is presented where bounded domains of non-convex functions are successively contracted about the solution of a piecewise linear program at each iteration of the algorithm. Although…

Optimization and Control · Mathematics 2020-04-21 James P. L. Tan

In computational biology, tandem duplication is an important biological phenomenon which can occur either at the genome or at the DNA level. A tandem duplication takes a copy of a genome segment and inserts it right after the segment - this…

Data Structures and Algorithms · Computer Science 2019-06-13 Manuel Lafond , Binhai Zhu , Peng Zou

The workflow satisfiability problem is concerned with determining whether it is possible to find an allocation of authorized users to the steps in a workflow in such a way that all constraints are satisfied. The problem is NP-hard in…

Cryptography and Security · Computer Science 2012-10-16 J. Crampton , R. Crowston , G. Gutin , M. Jones , M. S. Ramanujan

Bounds consistency is usually enforced on continuous constraints by first decomposing them into binary and ternary primitives. This decomposition has long been shown to drastically slow down the computation of solutions. To tackle this,…

Artificial Intelligence · Computer Science 2007-05-23 Frederic Goualard , Laurent Granvilliers

Bound propagation is an important Artificial Intelligence technique used in Constraint Programming tools to deal with numerical constraints. It is typically embedded within a search procedure ("branch and prune") and used at every node of…

Artificial Intelligence · Computer Science 2014-01-17 Lucas Bordeaux , George Katsirelos , Nina Narodytska , Moshe Y. Vardi

We highlight a striking difference in behavior between two widely used variants of coordinate ascent variational inference: the sequential and parallel algorithms. While such differences were known in the numerical analysis literature in…

Machine Learning · Statistics 2026-03-24 Debdeep Pati

We study ordinal embedding relaxations in the realm of parameterized complexity. We prove the existence of a quadratic kernel for the {\sc Betweenness} problem parameterized above its tight lower bound, which is stated as follows. For a set…

Data Structures and Algorithms · Computer Science 2013-06-25 Gregory Gutin , Eun Jung Kim , Matthias Mnich , Anders Yeo

One of the most popular state-space reduction techniques for model checking is partial-order reduction (POR). Of the many different POR implementations, stubborn sets are a very versatile variant and have thus seen many different…

Logic in Computer Science · Computer Science 2023-06-22 Thomas Neele , Antti Valmari , Tim A. C. Willemse

We propose a new algorithmic framework for sequential hypothesis testing with i.i.d. data, which includes A/B testing, nonparametric two-sample testing, and independence testing as special cases. It is novel in several ways: (a) it takes…

Machine Learning · Statistics 2016-03-03 Akshay Balsubramani , Aaditya Ramdas

In the last two decades, there has been much progress on model checking of both probabilistic systems and higher-order programs. In spite of the emergence of higher-order probabilistic programming languages, not much has been done to…

Programming Languages · Computer Science 2023-06-22 Naoki Kobayashi , Ugo Dal Lago , Charles Grellois

While machine learning has advanced through massive parallelization, we identify a critical blind spot: some problems are fundamentally sequential. These "inherently serial" problems-from mathematical reasoning to physical simulations to…

Machine Learning · Computer Science 2026-04-30 Yuxi Liu , Konpat Preechakul , Kananart Kuwaranancharoen , Yutong Bai

Efficient implementations of concurrent objects such as atomic collections are essential to modern computing. Programming such objects is error prone: in minimizing the synchronization overhead between concurrent object invocations, one…

Programming Languages · Computer Science 2017-07-04 Ahmed Bouajjani , Constantin Enea , Chao Wang

In this paper, we consider the problem of scheduling an application on a parallel computational platform. The application is a particular task graph, either a linear chain of tasks, or a set of independent tasks. The platform is made of…

Data Structures and Algorithms · Computer Science 2012-10-18 Guillaume Aupy , Anne Benoit

The classic string indexing problem is to preprocess a string S into a compact data structure that supports efficient pattern matching queries. Typical queries include existential queries (decide if the pattern occurs in S), reporting…

Data Structures and Algorithms · Computer Science 2021-02-05 Philip Bille , Inge Li Gørtz , Max Rishøj Pedersen , Teresa Anna Steiner

We investigate determining the exact bounds of the frequencies of conjunctions based on frequent sets. Our scenario is an important special case of some general probabilistic logic problems that are known to be intractable. We show that…

Computational Complexity · Computer Science 2019-02-05 Nikolaj Tatti

Temporal graphs have edge sets that change over discrete time steps. Such graphs are temporally connected (TC) if all pairs of vertices can reach each other using paths that traverse the edges in a time-respecting way (temporal paths).…

Data Structures and Algorithms · Computer Science 2026-04-28 Arnaud Casteigts , Hendrik Molter , Meirav Zehavi

The NP-complete Permutation Pattern Matching problem asks whether a permutation P (the pattern) can be matched into a permutation T (the text). A matching is an order-preserving embedding of P into T. In the Generalized Permutation Pattern…

Computational Complexity · Computer Science 2013-01-15 Marie-Louise Bruner , Martin Lackner

This work utilizes the plethora of work on verification of sequential programs for the purpose of verifying concurrent programs. We reduce the verification of a concurrent program to a series of verification tasks of sequential programs.…

Programming Languages · Computer Science 2021-06-03 Dan Rasin , Orna Grumberg , Sharon Shoham

In scheduling and timetabling applications, the mutual-exclusion constraint stipulates that certain pairs of tasks that cannot be executed at the same time. This corresponds to the vertex colouring problem in graph theory, for which there…

Optimization and Control · Mathematics 2019-04-09 Jakub Marecek , Andrew J. Parkes

Given two strings $S$ and $P$, the Episode Matching problem is to find the shortest substring of $S$ that contains $P$ as a subsequence. The best known upper bound for this problem is $\tilde O(nm)$ by Das et al. (1997) , where $n,m$ are…

Data Structures and Algorithms · Computer Science 2024-02-15 Philip Bille , Inge Li Gørtz , Shay Mozes , Teresa Anna Steiner , Oren Weimann