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To address the weight coupling problem, certain studies introduced few-shot Neural Architecture Search (NAS) methods, which partition the supernet into multiple sub-supernets. However, these methods often suffer from computational…

Machine Learning · Computer Science 2025-06-23 Wenhao Song , Xuan Wu , Bo Yang , You Zhou , Yubin Xiao , Yanchun Liang , Hongwei Ge , Heow Pueh Lee , Chunguo Wu

Planning long-horizon robot manipulation requires making discrete decisions about which objects to interact with and continuous decisions about how to interact with them. A robot planner must select grasps, placements, and motions that are…

We study the performance of stochastic local search algorithms for random instances of the $K$-satisfiability ($K$-SAT) problem. We introduce a new stochastic local search algorithm, ChainSAT, which moves in the energy landscape of a…

Data Structures and Algorithms · Computer Science 2009-11-13 Mikko Alava , John Ardelius , Erik Aurell , Petteri Kaski , Supriya Krishnamurthy , Pekka Orponen , Sakari Seitz

We study the problem of maximizing a monotone increasing submodular function over a set of weighted elements subject to a knapsack constraint. Although this problem is NP-hard, many applications require exact solutions, as approximate…

Data Structures and Algorithms · Computer Science 2025-10-21 Sabine Münch , Stephen Raach

Max#SAT is an important problem with multiple applications in security and program synthesis that is proven hard to solve. It is defined as: given a parameterized quantifier-free propositional formula compute parameters such that the number…

Logic in Computer Science · Computer Science 2023-02-07 Thomas Vigouroux , Cristian Ene , David Monniaux , Laurent Mounier , Marie-Laure Potet

Gradient boosting decision trees (GBDTs) have seen widespread adoption in academia, industry and competitive data science due to their state-of-the-art performance in many machine learning tasks. One relative downside to these models is the…

Machine Learning · Computer Science 2019-01-18 Andreea Anghel , Nikolaos Papandreou , Thomas Parnell , Alessandro De Palma , Haralampos Pozidis

Generating diverse solutions to the Boolean Satisfiability Problem (SAT) is a hard computational problem with practical applications for testing and functional verification of software and hardware designs. We explore the way to generate…

Artificial Intelligence · Computer Science 2022-12-02 Karlis Freivalds , Sergejs Kozlovics

We present NeuroSAT, a message passing neural network that learns to solve SAT problems after only being trained as a classifier to predict satisfiability. Although it is not competitive with state-of-the-art SAT solvers, NeuroSAT can solve…

Artificial Intelligence · Computer Science 2019-03-13 Daniel Selsam , Matthew Lamm , Benedikt Bünz , Percy Liang , Leonardo de Moura , David L. Dill

The recent advent of automated neural network architecture search led to several methods that outperform state-of-the-art human-designed architectures. However, these approaches are computationally expensive, in extreme cases consuming GPU…

Machine Learning · Computer Science 2019-03-11 Martin Wistuba , Tejaswini Pedapati

Scalable addressing of high dimensional constrained combinatorial optimization problems is a challenge that arises in several science and engineering disciplines. Recent work introduced novel application of graph neural networks for solving…

Optimization and Control · Mathematics 2024-05-20 Nasimeh Heydaribeni , Xinrui Zhan , Ruisi Zhang , Tina Eliassi-Rad , Farinaz Koushanfar

Graph Neural Networks (GNNs) have been recently leveraged to solve several logical reasoning tasks. Nevertheless, counting problems such as propositional model counting (#SAT) are still mostly approached with traditional solvers. Here we…

Artificial Intelligence · Computer Science 2022-05-10 Gaia Saveri , Luca Bortolussi

The problem of solving a system of polynomial equations is one of the most fundamental problems in applied mathematics. Among them, the problem of solving a system of binomial equations form a important subclass for which specialized…

Algebraic Geometry · Mathematics 2015-03-03 Tianran Chen , Dhagash Mehta

The combinatorial problem Max-Cut has become a benchmark in the evaluation of local search heuristics for both quantum and classical optimisers. In contrast to local search, which only provides average-case performance guarantees, the…

Hardware Architecture · Computer Science 2026-04-27 D. A. Herrera-Martí , E. Guthmuller , J. Fereyre

The Boolean Satisfiability problem (SAT), as the prototypical $\mathsf{NP}$-complete problem, is crucial in both theoretical computer science and practical applications. To address this problem, stochastic local search (SLS) algorithms,…

Artificial Intelligence · Computer Science 2026-04-17 Maximilian J. Kramer , Paul Boes , Jens Eisert

The NeuroSAT neural network architecture was recently introduced for predicting properties of propositional formulae. When trained to predict the satisfiability of toy problems, it was shown to find solutions and unsatisfiable cores on its…

Neural and Evolutionary Computing · Computer Science 2019-07-23 Daniel Selsam , Nikolaj Bjørner

Dynamic optimization is currently limited by sensitivity computations that require information from full forward and adjoint wave fields. Since the forward and adjoint solutions are computed in opposing time directions, the forward solution…

Computational Engineering, Finance, and Science · Computer Science 2025-09-22 Leon Herrmann , Tim Bürchner , László Kudela , Stefan Kollmannsberger

Developing a contemporary optimal transport (OT) solver requires navigating trade-offs among several critical requirements: GPU parallelization, scalability to high-dimensional problems, theoretical convergence guarantees, empirical…

Machine Learning · Computer Science 2025-04-04 Mete Kemertas , Amir-massoud Farahmand , Allan D. Jepson

Boolean Satisfiability (SAT) problems are critical in fields such as artificial intelligence and cryptography, where efficient solutions are essential. Conventional probabilistic solvers often encounter scalability issues due to complex…

Constraint Programming developed within Logic Programming in the Eighties; nowadays all Prolog systems encompass modules capable of handling constraint programming on finite domains demanding their solution to a constraint solver. This work…

Artificial Intelligence · Computer Science 2026-01-14 Enrico Santi , Fabio Tardivo , Agostino Dovier , Andrea Formisano

Optimization problems such as the NP-complete 3-SAT provide an important benchmark for the difficult task of finding ground-states in strongly correlated many-body systems with rugged energy landscapes. The study of random 3-SAT problems as…

Statistical Mechanics · Physics 2026-05-21 J. Schwardt , J. C. Budich