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We describe two efficient on-line algorithms to simplify weighted graphs by eliminating degree-two vertices. Our algorithms are on-line in that they react to updates on the data, keeping the simplification up-to-date. The supported updates…

Data Structures and Algorithms · Computer Science 2007-05-23 Floris Geerts , Peter Revesz , Jan Van den Bussche

We propose a simple and easy to implement neural network compression algorithm that achieves results competitive with more complicated state-of-the-art methods. The key idea is to modify the original optimization problem by adding K…

Machine Learning · Statistics 2018-06-15 Yibo Yang , Nicholas Ruozzi , Vibhav Gogate

We study propagation algorithms for the conjunction of two AllDifferent constraints. Solutions of an AllDifferent constraint can be seen as perfect matchings on the variable/value bipartite graph. Therefore, we investigate the problem of…

Artificial Intelligence · Computer Science 2010-04-16 Christian Bessiere , George Katsirelos , Nina Narodytska , Claude-Guy Quimper , Toby Walsh

We show that some common and important global constraints like ALL-DIFFERENT and GCC can be decomposed into simple arithmetic constraints on which we achieve bound or range consistency, and in some cases even greater pruning. These…

Artificial Intelligence · Computer Science 2009-05-26 Christian Bessiere , George Katsirelos , Nina Narodytska , Claude-Guy Quimper , Toby Walsh

In many applications, learning systems are required to process continuous non-stationary data streams. We study this problem in an online learning framework and propose an algorithm that can deal with adversarial time-varying and nonlinear…

Machine Learning · Computer Science 2023-10-16 Pavel Kolev , Georg Martius , Michael Muehlebach

This paper considers distributed online nonconvex optimization with time-varying inequality constraints over a network of agents. For a time-varying graph, we propose a distributed online primal-dual algorithm with compressed communication…

Optimization and Control · Mathematics 2025-09-01 Kunpeng Zhang , Lei Xu , Xinlei Yi , Ming Cao , Karl H. Johansson , Tianyou Chai , Tao Yang

We introduce a novel multivariate approach for solving weighted parameterized problems. In our model, given an instance of size $n$ of a minimization (maximization) problem, and a parameter $W \geq 1$, we seek a solution of weight at most…

Data Structures and Algorithms · Computer Science 2015-02-24 Hadas Shachnai , Meirav Zehavi

We consider the embeddability problem of a graph G into a two-dimensional simplicial complex C: Given G and C, decide whether G admits a topological embedding into C. The problem is NP-hard, even in the restricted case where C is…

Computational Geometry · Computer Science 2025-11-13 Éric Colin de Verdière , Thomas Magnard

We give an algorithm to compute a one-dimensional shape-constrained function that best fits given data in weighted-$L_{\infty}$ norm. We give a single algorithm that works for a variety of commonly studied shape constraints including…

Data Structures and Algorithms · Computer Science 2019-05-30 David Durfee , Yu Gao , Anup B. Rao , Sebastian Wild

A new algorithm is proposed to describe the propagation of fronts advected in the normal direction with prescribed speed function F. The assumptions on F are that it does not depend on the front itself, but can depend on space and time.…

Numerical Analysis · Mathematics 2015-05-28 Alexandra Tcheng , Jean-Christophe Nave

The Weighted First-Order Model Counting Problem (WFOMC) asks to compute the weighted sum of models of a given first-order logic sentence over a given domain. Conditioning WFOMC on evidence -- fixing the truth values of a set of ground…

Logic in Computer Science · Computer Science 2025-12-02 Václav Kůla , Qipeng Kuang , Yuyi Wang , Yuanhong Wang , Ondřej Kuželka

This paper presents a framework designed to tackle a range of planning problems arise in manipulation, which typically involve complex geometric-physical reasoning related to contact and dynamic constraints. We introduce the Contact Factor…

Robotics · Computer Science 2025-03-11 Jeongmin Lee , Sunkyung Park , Minji Lee , Dongjun Lee

Tightness is a generalisation of the notion of convexity: a space is tight if and only if it is "as convex as possible", given its topological constraints. For a simplicial complex, deciding tightness has a straightforward exponential time…

Computational Geometry · Computer Science 2018-10-24 Bhaskar Bagchi , Benjamin A. Burton , Basudeb Datta , Nitin Singh , Jonathan Spreer

Classifier-Free Guidance (CFG) enhances the quality and condition adherence of text-to-image diffusion models. It operates by combining the conditional and unconditional predictions using a fixed weight. However, recent works vary the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-23 Xi Wang , Nicolas Dufour , Nefeli Andreou , Marie-Paule Cani , Victoria Fernandez Abrevaya , David Picard , Vicky Kalogeiton

The weighted $k$-center problem in graphs is a classical facility location problem where we place $k$ centers on the graph, which minimize the maximum weighted distance of a vertex to its nearest center. We study this problem when the…

Data Structures and Algorithms · Computer Science 2023-03-31 Binay Bhattacharya , Sandip Das , Subhadeep Ranjan Dev

We propose Range and Roots which are two common patterns useful for specifying a wide range of counting and occurrence constraints. We design specialised propagation algorithms for these two patterns. Counting and occurrence constraints…

Artificial Intelligence · Computer Science 2009-03-03 Christian Bessiere , Emmanuel Hebrard , Brahim Hnich , Zeynep Kiziltan , Toby Walsh

Let $\Sigma \subset \mathbb{C}$ be a compact subset of the complex plane, and $\mu$ be a probability distribution on $\Sigma$. We give necessary and sufficient conditions for $\mu$ to be the weak* limit of a sequence of uniform probability…

Number Theory · Mathematics 2024-04-09 Bryce Joseph Orloski , Naser Talebizadeh Sardari

An iterative optimization approach that simultaneously minimizes the energy and optimizes the Lagrange multipliers enforcing desired constraints is presented. The method is tested on previously established benchmark systems and it is proved…

Computational Physics · Physics 2018-08-15 D. Kidd , A. S. Umar , K. Varga

Constraint programming (CP) has been used with great success to tackle a wide variety of constraint satisfaction problems which are computationally intractable in general. Global constraints are one of the important factors behind the…

Artificial Intelligence · Computer Science 2009-03-04 Alan Frisch , Brahim Hnich , Zeynep Kiziltan , Ian Miguel , Toby Walsh

We propose the \emph{weighted K-harmonic means} (WKHM) clustering algorithm, a regularized variant of K-harmonic means designed to ensure numerical stability while enabling soft assignments through inverse-distance weighting. Unlike…

Artificial Intelligence · Computer Science 2025-12-19 Gourab Ghatak