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Existing methods provide varying algorithms for different types of Boolean satisfiability problems (SAT), lacking a general solution framework. Accordingly, this study proposes a unified framework DCSAT based on integer programming and…

Artificial Intelligence · Computer Science 2023-12-29 Anqi Li , Congying Han , Tiande Guo , Haoran Li , Bonan Li

Over the past few years, self-attention is shining in the field of deep learning, especially in the domain of natural language processing(NLP). Its impressive effectiveness, along with ubiquitous implementations, have aroused our interest…

Machine Learning · Computer Science 2020-12-03 Mingfei Yu , Masahiro Fujita

Finding exact circuit size is a notorious optimization problem in practice. Whereas modern computers and algorithmic techniques allow to find a circuit of size seven in blink of an eye, it may take more than a week to search for a circuit…

Artificial Intelligence · Computer Science 2022-04-28 Alexander S. Kulikov , Danila Pechenev , Nikita Slezkin

We motivate the use of neural networks for the construction of numerical solutions to differential equations. We prove that there exists a feed-forward neural network that can arbitrarily minimise an objective function that is zero at the…

Numerical Analysis · Mathematics 2023-01-31 Matthew J. H. Wright

Graph Attention Networks (GATs) have been intensively studied and widely used in graph data learning tasks. Existing GATs generally adopt the self-attention mechanism to conduct graph edge attention learning, requiring expensive…

Neural and Evolutionary Computing · Computer Science 2022-09-28 Beibei Wang , Bo Jiang

Many combinatorial optimization problems can be phrased in the language of constraint satisfaction problems. We introduce a graph neural network architecture for solving such optimization problems. The architecture is generic; it works for…

Artificial Intelligence · Computer Science 2020-02-12 Jan Toenshoff , Martin Ritzert , Hinrikus Wolf , Martin Grohe

We propose a new approach to SAT solving which solves SAT problems in vector spaces as a cost minimization problem of a non-negative differentiable cost function J^sat. In our approach, a solution, i.e., satisfying assignment, for a SAT…

Artificial Intelligence · Computer Science 2021-08-17 Taisuke Sato , Ryosuke Kojima

A fundamental question in Computer Science is understanding when a specific class of problems go from being computationally easy to hard. Because of its generality and applications, the problem of Boolean Satisfiability (aka SAT) is often…

Artificial Intelligence · Computer Science 2013-04-02 Soumya C. Kambhampati , Thomas Liu

Smart Reply (SR) systems present a user with a set of replies, of which one can be selected in place of having to type out a response. To perform well at this task, a system should be able to effectively present the user with a diverse set…

Computation and Language · Computer Science 2023-05-29 Benjamin Towle , Ke Zhou

Query auto completion (QAC) systems are a standard part of search engines in industry, helping users formulate their query. Such systems update their suggestions after the user types each character, predicting the user's intent using…

Computation and Language · Computer Science 2018-05-10 Nicolas Fiorini , Zhiyong Lu

Graphs with complete node attributes have been widely explored recently. While in practice, there is a graph where attributes of only partial nodes could be available and those of the others might be entirely missing. This attribute-missing…

Machine Learning · Computer Science 2020-11-04 Xu Chen , Siheng Chen , Jiangchao Yao , Huangjie Zheng , Ya Zhang , Ivor W Tsang

A Bayesian net (BN) is more than a succinct way to encode a probabilistic distribution; it also corresponds to a function used to answer queries. A BN can therefore be evaluated by the accuracy of the answers it returns. Many algorithms for…

Artificial Intelligence · Computer Science 2013-02-08 Russell Greiner , Adam J. Grove , Dale Schuurmans

Through the development of neural machine translation, the quality of machine translation systems has been improved significantly. By exploiting advancements in deep learning, systems are now able to better approximate the complex mapping…

Computation and Language · Computer Science 2018-08-03 Jan Niehues , Ngoc-Quan Pham , Thanh-Le Ha , Matthias Sperber , Alex Waibel

In the contexts of automated reasoning and formal verification, important decision problems are effectively encoded into Satisfiability Modulo Theories (SMT). In the last decade efficient SMT solvers have been developed for several theories…

Artificial Intelligence · Computer Science 2012-02-08 Roberto Sebastiani , Silvia Tomasi

Hard optimisation problems such as Boolean Satisfiability typically have long solving times and can usually be solved by many algorithms, although the performance can vary widely in practice. Research has shown that no single algorithm…

Machine Learning · Computer Science 2019-09-10 Riccardo Volpato , Guangyan Song

The success of meta-learning on existing benchmarks is predicated on the assumption that the distribution of meta-training tasks covers meta-testing tasks. Frequent violation of the assumption in applications with either insufficient tasks…

Machine Learning · Computer Science 2022-06-10 Yichen Wu , Long-Kai Huang , Ying Wei

Many intellectual endeavors require mathematical problem solving, but this skill remains beyond the capabilities of computers. To measure this ability in machine learning models, we introduce MATH, a new dataset of 12,500 challenging…

Machine Learning · Computer Science 2021-11-10 Dan Hendrycks , Collin Burns , Saurav Kadavath , Akul Arora , Steven Basart , Eric Tang , Dawn Song , Jacob Steinhardt

Efficiently solving constrained optimization problems is crucial for numerous real-world applications, yet traditional solvers are often computationally prohibitive for real-time use. Machine learning-based approaches have emerged as a…

Machine Learning · Computer Science 2025-10-27 Hoang T. Nguyen , Priya L. Donti

In this project, we aimed to improve the runtime of Minisat, a Conflict-Driven Clause Learning (CDCL) solver that solves the Propositional Boolean Satisfiability (SAT) problem. We first used a logistic regression model to predict the…

Artificial Intelligence · Computer Science 2017-11-01 Haoze Wu

Training neural networks on NP-complete problems typically demands very large amounts of training data and often needs to be coupled with computationally expensive symbolic verifiers to ensure output correctness. In this paper, we present…

Machine Learning · Computer Science 2024-11-12 Mohamed Ghanem , Frederik Schmitt , Julian Siber , Bernd Finkbeiner