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This work establishes the technical fundamentals of a well-tuned Customizable Contraction Hierarchies (CCH) implementation that is simple and elegant. We give a detailed overview of the state of the art of CCH, review recent advances on CCH…

Data Structures and Algorithms · Computer Science 2025-02-18 Thomas Bläsius , Valentin Buchhold , Dorothea Wagner , Tim Zeitz , Michael Zündorf

Verification of higher-order probabilistic programs is a challenging problem. We present a verification method that supports several quantitative properties of higher-order probabilistic programs. Usually, extending verification methods to…

Logic in Computer Science · Computer Science 2024-07-04 Satoshi Kura , Hiroshi Unno

The problem of string reconstruction from substring information has found many applications due to its relevance in DNA- and polymer-based data storage. One practically important and challenging paradigm requires reconstructing mixtures of…

Information Theory · Computer Science 2020-10-22 Ryan Gabrys , Srilakshmi Pattabiraman , Olgica Milenkovic

In this work we introduce declarative statistics, a suite of declarative modelling tools for statistical analysis. Statistical constraints represent the key building block of declarative statistics. First, we introduce a range of relevant…

Artificial Intelligence · Computer Science 2017-12-29 Roberto Rossi , Özgür Akgün , Steven Prestwich , S. Armagan Tarim

Constraint propagation is a general algorithmic approach for pruning the search space of a CSP. In a uniform way, K. R. Apt has defined a computation as an iteration of reduction functions over a domain. He has also demonstrated the need…

Artificial Intelligence · Computer Science 2007-05-23 Laurent Granvilliers , Eric Monfroy

A randomized algorithm for computing a data sparse representation of a given rank structured matrix $A$ (a.k.a. an $H$-matrix) is presented. The algorithm draws on the randomized singular value decomposition (RSVD), and operates under the…

Numerical Analysis · Mathematics 2024-06-25 James Levitt , Per-Gunnar Martinsson

This paper develops a computational model of paraphrase under which text modification is carried out reluctantly; that is, there are external constraints, such as length or readability, on an otherwise ideal text, and modifications to the…

cmp-lg · Computer Science 2008-02-03 Mark Dras

Shape constraints, such as non-negativity, monotonicity, convexity or supermodularity, play a key role in various applications of machine learning and statistics. However, incorporating this side information into predictive models in a hard…

Machine Learning · Statistics 2022-11-22 Pierre-Cyril Aubin-Frankowski , Zoltan Szabo

Constructor-Based Conditional Rewriting Logic is a general framework for integrating first-order functional and logic programming which gives an algebraic semantics for non-deterministic functional-logic programs. In the context of this…

Logic in Computer Science · Computer Science 2007-05-23 Juan M. Molina , Ernesto Pimentel

Chance-constrained programming is a widely used framework for decision-making under uncertainty, yet its mixed-integer reformulations involve nonconvex mixing sets with a knapsack constraint, leading to weak relaxations and computational…

Optimization and Control · Mathematics 2025-10-22 Danial Davarnia , Hamed Rahimian

We present a calculus providing a Curry-Howard correspondence to classical logic represented in the sequent calculus with explicit structural rules, namely weakening and contraction. These structural rules introduce explicit erasure and…

Logic in Computer Science · Computer Science 2012-03-23 Silvia Ghilezan , Pierre Lescanne , Dragisa Zunic

Reduced Rank Regression (RRR) is a widely used method for multi-response regression. However, RRR assumes a linear relationship between features and responses. While linear models are useful and often provide a good approximation, many…

Machine Learning · Statistics 2025-03-11 Leia Greenberg , Haim Avron

Two methods are proposed for high-dimensional shape-constrained regression and classification. These methods reshape pre-trained prediction rules to satisfy shape constraints like monotonicity and convexity. The first method can be applied…

Machine Learning · Statistics 2018-05-17 Matt Bonakdarpour , Sabyasachi Chatterjee , Rina Foygel Barber , John Lafferty

The cubic regularization (CR) algorithm has attracted a lot of attentions in the literature in recent years. We propose a new reformulation of the cubic regularization subproblem. The reformulation is an unconstrained convex problem that…

Optimization and Control · Mathematics 2021-12-20 Rujun Jiang , Zhishuo Zhou , Zirui Zhou

We present an extension of sparse PCA, or sparse dictionary learning, where the sparsity patterns of all dictionary elements are structured and constrained to belong to a prespecified set of shapes. This \emph{structured sparse PCA} is…

Machine Learning · Statistics 2009-09-09 Rodolphe Jenatton , Guillaume Obozinski , Francis Bach

Language models (LMs) can generate code but cannot guarantee its correctness$\unicode{x2014}$often producing outputs that violate type safety, program invariants, or other semantic properties. Constrained decoding offers a solution by…

Programming Languages · Computer Science 2025-12-03 Shaan Nagy , Timothy Zhou , Nadia Polikarpova , Loris D'Antoni

Previous results on proving confluence for Constraint Handling Rules are extended in two ways in order to allow a larger and more realistic class of CHR programs to be considered confluent. Firstly, we introduce the relaxed notion of…

Logic in Computer Science · Computer Science 2016-11-22 Henning Christiansen , Maja H. Kirkeby

We develop a method to reconstruct, from measured displacements of an underlying elastic substrate, the spatially dependent forces that cells or tissues impart on it. Given newly available high-resolution images of substrate displacements,…

Quantitative Methods · Quantitative Biology 2018-01-22 Joshua C. Chang , Yanli Liu , Tom Chou

Contextual refinement (CR) is one of the standard notions of specifying open programs. CR has two main advantages: (i) (horizontal and vertical) compositionality that allows us to decompose a large contextual refinement into many smaller…

Programming Languages · Computer Science 2022-03-16 Youngju Song , Minki Cho , Dongjae Lee , Chung-Kil Hur

This paper presents a constraint-based morphological disambiguation approach that is applicable languages with complex morphology--specifically agglutinative languages with productive inflectional and derivational morphological phenomena.…

cmp-lg · Computer Science 2008-02-03 Kemal Oflazer , Gokhan Tur
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