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Generalizing the novel clause elimination procedures developed in [M. Heule, M. J\"arvisalo, and A. Biere. Clause elimination procedures for CNF formulas. In Proc. LPAR-17, volume 6397 of LNCS, pages 357-371. Springer, 2010.], we introduce…

Logic in Computer Science · Computer Science 2015-03-17 Marijn Heule , Matti Järvisalo , Armin Biere

In this work we investigate Weighted Model Enumeration (WME): given a Boolean formula and a weight function over its satisfying assignments, enumerate models while accounting for their weights. This setting supports weight-driven queries,…

Logic in Computer Science · Computer Science 2026-05-11 Giuseppe Spallitta , Moshe Y. Vardi

Optimization is a key task in a number of applications. When the set of feasible solutions under consideration is of combinatorial nature and described in an implicit way as a set of constraints, optimization is typically NP-hard.…

Artificial Intelligence · Computer Science 2014-10-27 Daniel Le Berre , Emmanuel Lonca , Pierre Marquis

The Fourier Entropy-Influence (FEI) conjecture of Friedgut and Kalai [FK96] seeks to relate two fundamental measures of Boolean function complexity: it states that $H[f] \leq C Inf[f]$ holds for every Boolean function $f$, where $H[f]$…

Computational Complexity · Computer Science 2013-04-05 Ryan O'Donnell , Li-Yang Tan

Given a CNF formula F on n variables, the problem of model counting or #SAT is to compute the number of satisfying assignments of F . Model counting is a fundamental but hard problem in computer science with varied applications. Recent…

Data Structures and Algorithms · Computer Science 2020-05-01 Kuldeep S. Meel , S. Akshay

We study the representation of systems S of linear equations over the two-element field (aka xor- or parity-constraints) via conjunctive normal forms F (boolean clause-sets). First we consider the problem of finding an "arc-consistent"…

Computational Complexity · Computer Science 2014-06-24 Matthew Gwynne , Oliver Kullmann

Commonsense knowledge (CSK) supports a variety of AI applications, from visual understanding to chatbots. Prior works on acquiring CSK, such as ConceptNet, have compiled statements that associate concepts, like everyday objects or…

Computation and Language · Computer Science 2020-05-06 Yohan Chalier , Simon Razniewski , Gerhard Weikum

The literature specifies extensive-form games in many styles, and eventually I hope to formally translate games across those styles. Toward that end, this paper defines $\mathbf{NCF}$, the category of node-and-choice forms. The category's…

Theoretical Economics · Economics 2020-04-24 Peter A. Streufert

The popularity of deep learning methods in the time series domain boosts interest in interpretability studies, including counterfactual (CF) methods. CF methods identify minimal changes in instances to alter the model predictions. Despite…

Machine Learning · Computer Science 2024-10-11 Ziwen Kan , Shahbaz Rezaei , Xin Liu

The Winograd Schema Challenge (WSC) and variants inspired by it have become important benchmarks for common-sense reasoning (CSR). Model performance on the WSC has quickly progressed from chance-level to near-human using neural language…

Computation and Language · Computer Science 2020-11-16 Ali Emami , Adam Trischler , Kaheer Suleman , Jackie Chi Kit Cheung

Counterfactual explanations (CEs) provide an intuitive way to understand recommender systems by identifying minimal modifications to user-item interactions that alter recommendation outcomes. Existing CE methods for recommender systems,…

Commonsense knowledge (CSK) about concepts and their properties is helpful for AI applications. Prior works, such as ConceptNet, have compiled large CSK collections. However, they are restricted in their expressiveness to…

Computation and Language · Computer Science 2022-09-16 Tuan-Phong Nguyen , Simon Razniewski , Julien Romero , Gerhard Weikum

Discovering high-level causal relations from low-level data is an important and challenging problem that comes up frequently in the natural and social sciences. In a series of papers, Chalupka et al. (2015, 2016a, 2016b, 2017) develop a…

Artificial Intelligence · Computer Science 2020-08-31 David Kinney , David Watson

Continual learning (CL) learns a sequence of tasks incrementally. There are two popular CL settings, class incremental learning (CIL) and task incremental learning (TIL). A major challenge of CL is catastrophic forgetting (CF). While a…

Machine Learning · Computer Science 2022-11-07 Gyuhak Kim , Changnan Xiao , Tatsuya Konishi , Zixuan Ke , Bing Liu

Scaling language models to longer contexts is essential for capturing rich dependencies across extended discourse. However, na\"ive context extension imposes significant computational and memory burdens, often resulting in inefficiencies…

Computation and Language · Computer Science 2026-02-03 Wenhao Li , Bangcheng Sun , Weihao Ye , Tianyi Zhang , Daohai Yu , Fei Chao , Rongrong Ji

Selective classification enables models to make predictions only when they are sufficiently confident, aiming to enhance safety and reliability, which is important in high-stakes scenarios. Previous methods mainly use deep neural networks…

Machine Learning · Computer Science 2024-06-10 Yu-Chang Wu , Shen-Huan Lyu , Haopu Shang , Xiangyu Wang , Chao Qian

The paper studies machine learning problems where each example is described using a set of Boolean features and where hypotheses are represented by linear threshold elements. One method of increasing the expressiveness of learned hypotheses…

Machine Learning · Computer Science 2011-09-13 R. Khardon , D. Roth , R. A. Servedio

Given $k$ collections of 2SAT clauses on the same set of variables $V$, can we find one assignment that satisfies a large fraction of clauses from each collection? We consider such simultaneous constraint satisfaction problems, and design…

Data Structures and Algorithms · Computer Science 2014-07-30 Amey Bhangale , Swastik Kopparty , Sushant Sachdeva

Machine learning algorithms in socially sensitive domains (e.g., credit decisions) often focus on equalizing predictive outcomes. However, satisfying these metrics does not guarantee that models use the same reasoning for different groups.…

Machine Learning · Computer Science 2026-05-14 Gideon Popoola , John Sheppard

Biologically inspired neural networks offer alternative avenues to model data distributions. FlyVec is a recent example that draws inspiration from the fruit fly's olfactory circuit to tackle the task of learning word embeddings.…

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