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Incomplete pairwise comparison matrices are increasingly employed to save resources and reduce cognitive load by collecting only a subset of all possible pairwise comparisons. We present their graph representation and some completion…

Optimization and Control · Mathematics 2026-03-30 László Csató , Sándor Bozóki

To maximize the accuracy and increase the overall acceptance of text classifiers, we propose a framework for the efficient, in-operation moderation of classifiers' output. Our framework focuses on use cases in which F1-scores of modern…

Machine Learning · Computer Science 2022-04-05 Jakob Smedegaard Andersen , Walid Maalej

How can we remove some interactions in a constraint satisfaction problem (CSP) such that it still remains satisfiable? In this paper we study a modified survey propagation algorithm that enables us to address this question for a…

Statistical Mechanics · Physics 2009-11-11 A. Ramezanpour , S. Moghimi-Araghi

Counterfactual explanations elucidate algorithmic decisions by pointing to scenarios that would have led to an alternative, desired outcome. Giving insight into the model's behavior, they hint users towards possible actions and give grounds…

Machine Learning · Statistics 2024-04-05 Susanne Dandl , Kristin Blesch , Timo Freiesleben , Gunnar König , Jan Kapar , Bernd Bischl , Marvin Wright

An unsatisfiable formula is called minimal if it becomes satisfiable whenever any of its clauses are removed. We construct minimal unsatisfiable $k$-SAT formulas with $\Omega(n^k)$ clauses for $k \geq 3$, thereby negatively answering a…

Combinatorics · Mathematics 2008-11-05 Choongbum Lee

Graph Neural Networks (GNNs) have been a powerful tool for node classification tasks in complex networks. However, their decision-making processes remain a black-box to users, making it challenging to understand the reasoning behind their…

Machine Learning · Computer Science 2024-02-12 Chirag Chhablani , Sarthak Jain , Akshay Channesh , Ian A. Kash , Sourav Medya

This paper describes an extension to the constraint satisfaction problem (CSP) called MUSE CSP (MUltiply SEgmented Constraint Satisfaction Problem). This extension is especially useful for those problems which segment into multiple sets of…

Artificial Intelligence · Computer Science 2014-11-17 R. A Helzerman , M. P. Harper

Atserias and M\"uller (JACM, 2020) proved that for every unsatisfiable CNF formula $\varphi$, the formula $\operatorname{Ref}(\varphi)$, stating "$\varphi$ has small Resolution refutations", does not have subexponential-size Resolution…

Computational Complexity · Computer Science 2026-05-20 Noel Arteche , Albert Atserias , Susanna F. de Rezende , Erfan Khaniki

This work unifies the analysis of various randomized methods for solving linear and nonlinear inverse problems by framing the problem in a stochastic optimization setting. By doing so, we show that many randomized methods are variants of a…

Numerical Analysis · Mathematics 2023-06-21 Jonathan Wittmer , C. G. Krishnanunni , Hai V. Nguyen , Tan Bui-Thanh

Recourse generators provide actionable insights, often through feature-based counterfactual explanations (CFEs), to help negatively classified individuals understand how to adjust their input features to achieve a positive classification.…

Machine Learning · Computer Science 2025-06-04 Keziah Naggita , Matthew R. Walter , Avrim Blum

Interpretability is having an increasingly important role in the design of machine learning algorithms. However, interpretable methods tend to be less accurate than their black-box counterparts. Among others, DNFs (Disjunctive Normal Forms)…

Machine Learning · Computer Science 2022-04-12 Fabio Aiolli , Luca Bergamin , Tommaso Carraro , Mirko Polato

Differentiable programming techniques are widely used in the community and are responsible for the machine learning renaissance of the past several decades. While these methods are powerful, they have limits. In this short report, we…

Machine Learning · Computer Science 2022-01-24 Luke Metz , C. Daniel Freeman , Samuel S. Schoenholz , Tal Kachman

Scalable generation of furniture layouts is essential for many applications in virtual reality, augmented reality, game development and synthetic data generation. Many existing methods tackle this problem as a sequence generation problem…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Wamiq Reyaz Para , Paul Guerrero , Niloy Mitra , Peter Wonka

Machine learning models are widely used in real-world applications. However, their complexity makes it often challenging to interpret the rationale behind their decisions. Counterfactual explanations (CEs) have emerged as a viable solution…

Machine Learning · Computer Science 2024-03-04 Muhammad Suffian , Jose M. Alonso-Moral , Alessandro Bogliolo

In this paper we consider two problems regarding the scheduling of available personnel in order to perform a given quantity of work, which can be arbitrarily decomposed into a sequence of activities. We are interested in schedules which…

Data Structures and Algorithms · Computer Science 2013-01-22 Mugurel Ionut Andreica , Romulus Andreica , Angela Andreica

We consider perturbations of unitary minimal models by boundary fields. Initially we consider the models in the limit as c -> 1 and find that the relevant boundary fields all have simple interpretations in this limit. This interpretation…

High Energy Physics - Theory · Physics 2009-11-07 K. Graham , I. Runkel , G. M. T Watts

To enhance the reproducibility and reliability of deep learning models, we address a critical gap in current training methodologies: the lack of mechanisms that ensure consistent and robust performance across runs. Our empirical analysis…

Machine Learning · Computer Science 2026-01-05 Waqas Ahmed , Sheeba Samuel , Kevin Coakley , Birgitta Koenig-Ries , Odd Erik Gundersen

We provide a formula for the lower bound in the form of $|F| \ge K$, in such a way that the decision version of unweighted non-bipartite matching can be solved in polynomial time. ~The parameter $K$ can vary from instance to instance. We…

Logic in Computer Science · Computer Science 2014-10-24 Prabhu Manyem

This paper defines a convertible nonconvex function(CN function for short) and a weak (strong) uniform (decomposable, exact) CN function, proves the optimization conditions for their global solutions and proposes algorithms for solving the…

Optimization and Control · Mathematics 2022-02-16 M. Jiang , R. Shen , Z. Q. Meng , C. Y. Dang

Counterfactual Explanations (CEs) are a powerful technique used to explain Machine Learning models by showing how the input to a model should be minimally changed for the model to produce a different output. Similar proposals have been made…

Artificial Intelligence · Computer Science 2025-09-01 Nicola Gigante , Francesco Leofante , Andrea Micheli