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The minimum constraint removal problem seeks to find the minimum number of constraints, i.e., obstacles, that need to be removed to connect a start to a goal location with a collision-free path. This problem is NP-hard and has been studied…

Robotics · Computer Science 2023-05-03 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

Parametric models abstract part of the specification of dynamical models by integral parameters. They are for example used in computational systems biology, notably with parametric regulatory networks, which specify the global architecture…

Logic in Computer Science · Computer Science 2018-11-30 Stefan Haar , Juraj Kolčák , Loïc Paulevé

For causal discovery in the presence of latent confounders, constraints beyond conditional independences exist that can enable causal discovery algorithms to distinguish more pairs of graphs. Such constraints are not well-understood yet. In…

Machine Learning · Computer Science 2024-06-14 Thijs van Ommen

Checking whether a system of linear equations is consistent is a basic computational problem with ubiquitous applications. When dealing with inconsistent systems, one may seek an assignment that minimizes the number of unsatisfied…

Data Structures and Algorithms · Computer Science 2022-08-05 Konrad K. Dabrowski , Peter Jonsson , Sebastian Ordyniak , George Osipov , Magnus Wahlström

On solving a convex-concave bilinear saddle-point problem (SPP), there have been many works studying the complexity results of first-order methods. These results are all about upper complexity bounds, which can determine at most how many…

Optimization and Control · Mathematics 2018-08-10 Yuyuan Ouyang , Yangyang Xu

The disjoint paths logic, FOL+DP, is an extension of First-Order Logic (FOL) with the extra atomic predicate $\mathsf{dp}_k(x_1,y_1,\ldots,x_k,y_k),$ expressing the existence of internally vertex-disjoint paths between $x_i$ and $y_i,$ for…

Logic in Computer Science · Computer Science 2024-02-28 Petr A. Golovach , Giannos Stamoulis , Dimitrios M. Thilikos

Multinomial processing tree (MPT) models are tools for disentangling the contributions of latent cognitive processes in a given experimental paradigm. The present note analyzes MPT models subject to order constraints on subsets of its…

Applications · Statistics 2014-11-11 Karl Christoph Klauer , Henrik Singmann , David Kellen

Object detection remains as one of the most notorious open problems in computer vision. Despite large strides in accuracy in recent years, modern object detectors have started to saturate on popular benchmarks raising the question of how…

Computer Vision and Pattern Recognition · Computer Science 2020-04-08 Ali Borji

Signal processing traditionally relies on classical statistical modeling techniques. Such model-based methods utilize mathematical formulations that represent the underlying physics, prior information and additional domain knowledge. Simple…

Signal Processing · Electrical Eng. & Systems 2023-06-08 Nir Shlezinger , Yonina C. Eldar

In this paper we investigate the colorful components framework, motivated by applications emerging from comparative genomics. The general goal is to remove a collection of edges from an undirected vertex-colored graph $G$ such that in the…

Data Structures and Algorithms · Computer Science 2013-11-07 Anna Adamaszek , Alexandru Popa

Many recent algorithms for approximate model counting are based on a reduction to combinatorial searches over random subsets of the space defined by parity or XOR constraints. Long parity constraints (involving many variables) provide…

Computational Complexity · Computer Science 2016-09-12 Shengjia Zhao , Sorathan Chaturapruek , Ashish Sabharwal , Stefano Ermon

In this paper, we study local and global broadcast in the dual graph model, which describes communication in a radio network with both reliable and unreliable links. Existing work proved that efficient solutions to these problems are…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-18 Seth Gilbert , Nancy Lynch , Calvin Newport , Dominik Pajak

Projection-based reduced order models are effective at approximating parameter-dependent differential equations that are parametrically separable. When parametric separability is not satisfied, which occurs in both linear and nonlinear…

Numerical Analysis · Mathematics 2021-10-22 Peter Sentz , Kristian Beckwith , Eric C. Cyr , Luke N. Olson , Ravi Patel

Diffusion models are increasingly used as powerful conditional generators, yet real deployments often involve multiple target distributions arising from different tasks, e.g., diverse prompt domains in text-to-image generation, or multiple…

Machine Learning · Computer Science 2026-05-26 Ziheng Cheng , Yixiao Huang , Hanlin Zhu , Haoran Geng , Somayeh Sojoudi , Jitendra Malik , Pieter Abbeel , Xin Guo

The multinomial model is one of the simplest statistical models. When constraints are placed on the possible values for the probabilities, however, it becomes much more difficult to deal with. Model checking and checking for prior-data…

Statistics Theory · Mathematics 2018-08-22 Berthold-Georg Englert , Michael Evans , Gun Ho Jang , Hui Khoon Ng , David Nott , Yi-Lin Seah

We introduce merge-width, a family of graph parameters that unifies several structural graph measures, including treewidth, degeneracy, twin-width, clique-width, and generalized coloring numbers. Our parameters are based on new…

Combinatorics · Mathematics 2025-02-26 Jan Dreier , Szymon Toruńczyk

Algorithmic meta-theorems explain the tractability of large classes of computational problems by linking logical expressibility with structural graph properties. While extensions of first-order logic such as FO+dp admit efficient model…

Logic in Computer Science · Computer Science 2026-05-04 Ignasi Sau , Nicole Schirrmacher , Sebastian Siebertz , Giannos Stamoulis , Dimitrios M. Thilikos , Alexandre Vigny

In this paper two related simplification problems for systems of linear inequalities describing precedence relation systems are considered. Given a precedence relation system, the first problem seeks a minimum subset of the precedence…

Data Structures and Algorithms · Computer Science 2015-03-17 Kin Cheong Sou

Graph generative models become increasingly effective for data distribution approximation and data augmentation. While they have aroused public concerns about their malicious misuses or misinformation broadcasts, just as what Deepfake…

Cryptography and Security · Computer Science 2023-06-14 Yihan Ma , Zhikun Zhang , Ning Yu , Xinlei He , Michael Backes , Yun Shen , Yang Zhang

Graphs offer a natural way to formulate Multiple Object Tracking (MOT) and Multiple Object Tracking and Segmentation (MOTS) within the tracking-by-detection paradigm. However, they also introduce a major challenge for learning methods, as…

Computer Vision and Pattern Recognition · Computer Science 2022-07-18 Guillem Braso , Orcun Cetintas , Laura Leal-Taixe
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