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Current pseudo-Boolean solvers implement different variants of the cutting planes proof system to infer new constraints during conflict analysis. One of these variants is generalized resolution, which allows to infer strong constraints, but…

Artificial Intelligence · Computer Science 2020-05-12 Daniel Le Berre , Pierre Marquis , Romain Wallon

A Pseudo-Boolean (PB) constraint is a linear inequality constraint over Boolean literals. One of the popular, efficient ideas used to solve PB-problems (a set of PB-constraints) is to translate them to SAT instances (encodings) via, for…

Data Structures and Algorithms · Computer Science 2023-05-09 Michał Karpiński , Marek Piotrów

This work explores the effects of relevant and irrelevant boolean variables on the accuracy of classifiers. The analysis uses the assumption that the variables are conditionally independent given the class, and focuses on a natural family…

Machine Learning · Computer Science 2012-06-12 David P. Helmbold , Philip M. Long

Cutting plane methods are a fundamental approach for solving integer linear programs (ILPs). In each iteration of such methods, additional linear constraints (cuts) are introduced to the constraint set with the aim of excluding the previous…

Optimization and Control · Mathematics 2024-06-28 Pol Puigdemont , Stratis Skoulakis , Grigorios Chrysos , Volkan Cevher

A Pseudo-Boolean (PB) constraint is a linear arithmetic constraint over Boolean variables. PB constraints are convenient and widely used in expressing NP-complete problems. We introduce a new, two step, method for transforming PB…

Logic in Computer Science · Computer Science 2015-03-19 Amir Aavani

Pseudo-Boolean constraints are omnipresent in practical applications, and thus a significant effort has been devoted to the development of good SAT encoding techniques for them. Some of these encodings first construct a Binary Decision…

Artificial Intelligence · Computer Science 2014-01-24 Ignasi Abío , Robert Nieuwenhuis , Albert Oliveras , Enric Rodriguez-Carbonell , Valentin Mayer-Eichberger

Language Model (LM) pruning compresses the model by removing weights, nodes, or other parts of its architecture. Typically, pruning focuses on the resulting efficiency gains at the cost of effectiveness. However, when looking at how…

Computation and Language · Computer Science 2025-03-28 Pietro Tropeano , Maria Maistro , Tuukka Ruotsalo , Christina Lioma

Answer set programming (ASP) is a well-established knowledge representation formalism. Most ASP solvers are based on (extensions of) technology from Boolean satisfiability solving. While these solvers have shown to be very successful in…

Logic in Computer Science · Computer Science 2020-09-23 Wolf De Wulf , Bart Bogaerts

Real-world data is often ambiguous; for example, human annotation produces instances with multiple conflicting class labels. Partial-label learning (PLL) aims at training a classifier in this challenging setting, where each instance is…

Machine Learning · Computer Science 2025-05-26 Tobias Fuchs , Florian Kalinke

Pseudo-Labeling is a simple and effective approach to semi-supervised learning. It requires criteria that guide the selection of pseudo-labeled data. The latter have been shown to crucially affect pseudo-labeling's generalization…

Machine Learning · Computer Science 2023-09-27 Julian Rodemann

Instance-dependent Partial Label Learning (ID-PLL) aims to learn a multi-class predictive model given training instances annotated with candidate labels related to features, among which correct labels are hidden fixed but unknown. The…

Machine Learning · Computer Science 2024-10-29 Congyu Qiao , Ning Xu , Yihao Hu , Xin Geng

Recent research has revealed that deep neural networks often take dataset biases as a shortcut to make decisions rather than understand tasks, leading to failures in real-world applications. In this study, we focus on the spurious…

Computation and Language · Computer Science 2023-06-23 Yanrui Du , Jing Yan , Yan Chen , Jing Liu , Sendong Zhao , Qiaoqiao She , Hua Wu , Haifeng Wang , Bing Qin

Two major considerations when encoding pseudo-Boolean (PB) constraints into SAT are the size of the encoding and its propagation strength, that is, the guarantee that it has a good behaviour under unit propagation. Several encodings with…

Artificial Intelligence · Computer Science 2021-01-07 Alexis de Colnet

Continuous pseudo-labeling (PL) algorithms such as slimIPL have recently emerged as a powerful strategy for semi-supervised learning in speech recognition. In contrast with earlier strategies that alternated between training a model and…

Machine Learning · Computer Science 2023-02-01 Tatiana Likhomanenko , Ronan Collobert , Navdeep Jaitly , Samy Bengio

Designing an explainable model becomes crucial now for Natural Language Processing(NLP) since most of the state-of-the-art machine learning models provide a limited explanation for the prediction. In the spectrum of an explainable model,…

Computation and Language · Computer Science 2024-11-08 Rohan Kumar Yadav , Bimal Bhattarai , Abhik Jana , Lei Jiao , Seid Muhie Yimam

Nogood learning is a powerful approach to reducing search in Constraint Programming (CP) solvers. The current state of the art, called Lazy Clause Generation (LCG), uses resolution to derive nogoods expressing the reasons for each search…

Artificial Intelligence · Computer Science 2013-06-20 Geoffrey Chu , Peter J. Stuckey

Current implementations of pseudo-Boolean (PB) solvers working on native PB constraints are based on the CDCL architecture which empowers highly efficient modern SAT solvers. In particular, such PB solvers not only implement a…

Artificial Intelligence · Computer Science 2021-09-03 Daniel Le Berre , Romain Wallon

Partial-label learning (PLL) is an important branch of weakly supervised learning where the single ground truth resides in a set of candidate labels, while the research rarely considers the label imbalance. A recent study for imbalanced…

Machine Learning · Computer Science 2023-03-08 Mingyu Xu , Zheng Lian

We consider the problem of computing bounds for causal queries on causal graphs with unobserved confounders and discrete valued observed variables, where identifiability does not hold. Existing non-parametric approaches for computing such…

Machine Learning · Computer Science 2023-08-08 Madhumitha Shridharan , Garud Iyengar

Many constraint satisfaction and optimisation problems can be solved effectively by encoding them as instances of the Boolean Satisfiability problem (SAT). However, even the simplest types of constraints have many encodings in the…

Artificial Intelligence · Computer Science 2023-11-09 Felix Ulrich-Oltean , Peter Nightingale , James Alfred Walker
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