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The boxicity of a graph $G$ is the minimum dimension $d$ that admits a representation of $G$ as the intersection graph of a family of axis-parallel boxes in $\mathbb{R}^d$. Computing boxicity is an NP-hard problem, and there are few known…

Combinatorics · Mathematics 2025-10-03 Marco Caoduro , Will Evans , Tao Gaede

Although NP-Complete problems are the most difficult decisional problems, it is possible to discover in them polynomial (or easy) observables. We study the Graph Partitioning Problem showing that it is possible to recognize in it two…

Condensed Matter · Physics 2009-11-07 M. A. Marchisio

We propose a scalable algorithmic framework for exact Bayesian variable selection and model averaging in linear models under the assumption that the Gram matrix is block-diagonal, and as a heuristic for exploring the model space for general…

Computation · Statistics 2017-01-04 Omiros Papaspiliopoulos , David Rossell

Learning graphical structures based on Directed Acyclic Graphs (DAGs) is a challenging problem, partly owing to the large search space of possible graphs. A recent line of work formulates the structure learning problem as a continuous…

Machine Learning · Computer Science 2021-01-12 Ignavier Ng , AmirEmad Ghassami , Kun Zhang

Given an undirected graph representing similarities between a set of items and an additive measure evaluating the items, we treat the position of a special subset of items in an ordinal ranking through a collection of combinatorial…

Data Structures and Algorithms · Computer Science 2026-05-05 Samuel Boardman

This article is concerned with an example of complex planar geometry arising from flat origami challenges. The complexity of solution algorithms is illustrated, depending on the depth of the initial analysis of the problem, starting from…

Computational Geometry · Computer Science 2017-05-30 David Dureisseix

We provide a novel family of generative block-models for random graphs that naturally incorporates degree distributions: the block-constrained configuration model. Block-constrained configuration models build on the generalised…

Physics and Society · Physics 2021-02-24 Giona Casiraghi

We present the Multi-Block DC (BDC) class, a rich class of structured nonconvex functions that admit a DC ("difference-of-convex") decomposition across parameter blocks. This multi-block class not only subsumes the usual DC programming, but…

Optimization and Control · Mathematics 2026-04-21 Pouria Fatemi , Hoomaan Maskan , Alp Yurtsever , Suvrit Sra

We explore asynchronous programming with algebraic effects. We complement their conventional synchronous treatment by showing how to naturally also accommodate asynchrony within them, namely, by decoupling the execution of operation calls…

Programming Languages · Computer Science 2024-09-25 Danel Ahman , Matija Pretnar

We consider learning problems over training sets in which both, the number of training examples and the dimension of the feature vectors, are large. To solve these problems we propose the random parallel stochastic algorithm (RAPSA). We…

Machine Learning · Computer Science 2016-03-23 Aryan Mokhtari , Alec Koppel , Alejandro Ribeiro

Computing students increasingly rely on generative AI tools for programming assistance, often without formal instruction or guidance. This highlights a need to teach students how to effectively interact with AI models, particularly through…

Computers and Society · Computer Science 2025-09-15 Victor-Alexandru Pădurean , Paul Denny , Alkis Gotovos , Adish Singla

Large language models (LLMs) have achieved significant success in reasoning tasks, including mathematical reasoning and logical deduction. Among these reasoning tasks, graph problems stand out due to their complexity and unique structural…

Artificial Intelligence · Computer Science 2025-10-15 Yuyao Ge , Shenghua Liu , Baolong Bi , Yiwei Wang , Lingrui Mei , Wenjie Feng , Lizhe Chen , Xueqi Cheng

We study the problem of actively learning a non-parametric choice model based on consumers' decisions. We present a negative result showing that such choice models may not be identifiable. To overcome the identifiability problem, we…

Machine Learning · Computer Science 2024-04-26 Fransisca Susan , Negin Golrezaei , Ehsan Emamjomeh-Zadeh , David Kempe

The paper presents a study of local search heuristics in general and variable neighborhood search in particular for the resolution of an assignment problem studied in the practical work of universities. Here, students have to be assigned to…

Artificial Intelligence · Computer Science 2008-09-08 Martin Josef Geiger , Wolf Wenger

Graph clustering is a central topic in unsupervised learning with a multitude of practical applications. In recent years, multi-view graph clustering has gained a lot of attention for its applicability to real-world instances where one has…

Machine Learning · Computer Science 2024-06-10 Vincent Cohen-Addad , Tommaso d'Orsi , Silvio Lattanzi , Rajai Nasser

Recently, an intriguing class of non-convex optimization problems has emerged in the context of learning directed acyclic graphs (DAGs). These problems involve minimizing a given loss or score function, subject to a non-convex continuous…

Machine Learning · Statistics 2023-05-30 Chang Deng , Kevin Bello , Bryon Aragam , Pradeep Ravikumar

Plotting solution sets for particular equations may be complicated by the existence of turning points. Here we describe an algorithm which not only overcomes such problematic points, but does so in the most general of settings. Applications…

Numerical Analysis · Mathematics 2011-07-05 Steven Pollack , Daniel Badali , Jonathan Pollack

In the constrained planarity setting, we ask whether a graph admits a planar drawing that additionally satisfies a given set of constraints. These constraints are often derived from very natural problems; prominent examples are Level…

Data Structures and Algorithms · Computer Science 2023-11-01 Simon D. Fink , Ignaz Rutter

In distributed systems, a group of $\textit{learners}$ achieve $\textit{consensus}$ when, by observing the output of some $\textit{acceptors}$, they all arrive at the same value. Consensus is crucial for ordering transactions in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-14 Isaac Sheff , Xinwen Wang , Robbert van Renesse , Andrew C. Myers

We introduce a novel framework of graph modifications specific to interval graphs. We study interdiction problems with respect to these graph modifications. Given a list of original intervals, each interval has a replacement interval such…

Data Structures and Algorithms · Computer Science 2021-08-02 Hung P. Hoang , Stefan Lendl , Lasse Wulf
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