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Model counting is the problem of computing the number of satisfying assignments of a given propositional formula. Although exact model counters can be naturally furnished by most of the knowledge compilation (KC) methods, in practice, they…

Artificial Intelligence · Computer Science 2018-05-21 Yong Lai

Circuits in deterministic decomposable negation normal form (d-DNNF) are representations of Boolean functions that enable linear-time model counting. This paper strengthens our theoretical knowledge of what classes of functions can be…

Computational Complexity · Computer Science 2025-02-04 Alexis de Colnet , Stefan Szeider , Tianwei Zhang

Knowledge compilation studies the trade-off between succinctness and efficiency of different representation languages. For many languages, there are known strong lower bounds on the representation size, but recent work shows that, for some…

Artificial Intelligence · Computer Science 2020-11-30 Alexis de Colnet , Stefan Mengel

We introduced decomposable negation normal form (DNNF) recently as a tractable form of propositional theories, and provided a number of powerful logical operations that can be performed on it in polynomial time. We also presented an…

Artificial Intelligence · Computer Science 2007-05-23 Adnan Darwiche

A central task in knowledge compilation is to compile a CNF-SAT instance into a succinct representation format that allows efficient operations such as testing satisfiability, counting, or enumerating all solutions. Useful representation…

Logic in Computer Science · Computer Science 2024-10-07 Christoph Berkholz , Stefan Mengel , Hermann Wilhelm

Knowledge compilation (KC) languages find a growing number of practical uses, including in Constraint Programming (CP) and in Machine Learning (ML). In most applications, one natural question is how to explain the decisions made by models…

Artificial Intelligence · Computer Science 2021-07-09 Xuanxiang Huang , Yacine Izza , Alexey Ignatiev , Martin C. Cooper , Nicholas Asher , Joao Marques-Silva

Knowledge Distillation (KD) compresses computationally expensive pre-trained language models (PLMs) by transferring their knowledge to smaller models, allowing their use in resource-constrained or real-time settings. However, most smaller…

Computation and Language · Computer Science 2023-11-08 Hayeon Lee , Rui Hou , Jongpil Kim , Davis Liang , Hongbo Zhang , Sung Ju Hwang , Alexander Min

We show new limits on the efficiency of using current techniques to make exact probabilistic inference for large classes of natural problems. In particular we show new lower bounds on knowledge compilation to SDD and DNNF forms. We give…

Artificial Intelligence · Computer Science 2015-08-20 Paul Beame , Vincent Liew

Propositional model counting (#SAT) can be solved efficiently when the input formula is in deterministic decomposable negation normal form (d-DNNF). Translating an arbitrary formula into a representation that allows inference tasks, such as…

Artificial Intelligence · Computer Science 2023-12-01 Vincent Derkinderen , Pedro Zuidberg Dos Martires , Samuel Kolb , Paolo Morettin

This report describes the parsing problem for Combinatory Categorial Grammar (CCG), showing how a combination of Transformer-based neural models and a symbolic CCG grammar can lead to substantial gains over existing approaches. The report…

Computation and Language · Computer Science 2021-09-29 Stephen Clark

In this paper, we investigate the extent to which knowledge compilation can be used to improve inference from propositional weighted bases. We present a general notion of compilation of a weighted base that is parametrized by any…

Artificial Intelligence · Computer Science 2007-05-23 Adnan Darwiche , Pierre Marquis

We propose a perspective on knowledge compilation which calls for analyzing different compilation approaches according to two key dimensions: the succinctness of the target compilation language, and the class of queries and transformations…

Artificial Intelligence · Computer Science 2011-06-10 A. Darwiche , P. Marquis

Bottom-up knowledge compilation is a paradigm for generating representations of functions by iteratively conjoining constraints using a so-called apply function. When the input is not efficiently compilable into a language - generally a…

Computational Complexity · Computer Science 2021-12-24 Alexis de Colnet , Stefan Mengel

Federated clustering, an essential extension of centralized clustering for federated scenarios, enables multiple data-holding clients to collaboratively group data while keeping their data locally. In centralized scenarios, clustering…

Machine Learning · Computer Science 2025-06-03 Jing Liu , Jie Yan , Zhong-Yuan Zhang

Analyzing a Feature Model (FM) and reasoning on the corresponding configuration space is a central task in Software Product Line (SPL) engineering. Problems such as deciding the satisfiability of the FM and eliminating inconsistent parts of…

Software Engineering · Computer Science 2023-02-15 Pierre Bourhis , Laurence Duchien , Jérémie Dusart , Emmanuel Lonca , Pierre Marquis , Clément Quinton

Test-time interventions for language models can enhance factual accuracy, mitigate harmful outputs, and improve model efficiency without costly retraining. But despite a flood of new methods, different types of interventions are largely…

Judgment aggregation is a general framework for collective decision making that can be used to model many different settings. Due to its general nature, the worst case complexity of essentially all relevant problems in this framework is…

Artificial Intelligence · Computer Science 2018-08-10 Ronald de Haan

We derive computationally tractable methods to select a small subset of experiment settings from a large pool of given design points. The primary focus is on linear regression models, while the technique extends to generalized linear models…

Machine Learning · Statistics 2017-12-21 Yining Wang , Adams Wei Yu , Aarti Singh

Formal languages let us define the textual representation of data with precision. Formal grammars, typically in the form of BNF-like productions, describe the language syntax, which is then annotated for syntax-directed translation and…

Formal Languages and Automata Theory · Computer Science 2015-01-15 Luis Quesada , Fernando Berzal , Juan-Carlos Cubero

How to learn highly compact yet effective sentence representation? Pre-trained language models have been effective in many NLP tasks. However, these models are often huge and produce large sentence embeddings. Moreover, there is a big…

Computation and Language · Computer Science 2022-03-16 Xuandong Zhao , Zhiguo Yu , Ming Wu , Lei Li
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