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We observe a trend regarding restart strategies used in SAT solvers. A few years ago, most state-of-the-art solvers restarted on average after a few thousands of backtracks. Currently, restarting after a dozen backtracks results in much…

Artificial Intelligence · Computer Science 2014-02-19 Shai Haim , Marijn Heule

We present an online method for estimating the cost of solving SAT problems. Modern SAT solvers present several challenges to estimate search cost including non-chronological backtracking, learning and restarts. Our method uses a linear…

Artificial Intelligence · Computer Science 2009-03-05 Shai Haim , Toby Walsh

Restart policy is an important technique used in modern Conflict-Driven Clause Learning (CDCL) solvers, wherein some parts of the solver state are erased at certain intervals during the run of the solver. In most solvers, variable…

Logic in Computer Science · Computer Science 2024-04-23 Chunxiao Li , Charlie Liu , Jonathan Chung , Zhengyang Lu , Piyush Jha , Vijay Ganesh

Time-constrained decision processes have been ubiquitous in many fundamental applications in physics, biology and computer science. Recently, restart strategies have gained significant attention for boosting the efficiency of…

Machine Learning · Computer Science 2020-07-02 Semih Cayci , Atilla Eryilmaz , R. Srikant

We are developing a general framework for using learned Bayesian models for decision-theoretic control of search and reasoningalgorithms. We illustrate the approach on the specific task of controlling both general and domain-specific…

Artificial Intelligence · Computer Science 2013-01-14 Eric J. Horvitz , Yongshao Ruan , Carla P. Gomes , Henry Kautz , Bart Selman , David Maxwell Chickering

We present two different methods for estimating the cost of solving SAT problems. The methods focus on the online behaviour of the backtracking solver, as well as the structure of the problem. Modern SAT solvers present several challenges…

Artificial Intelligence · Computer Science 2009-07-30 Shai Haim , Toby Walsh

In this overview article we will consider the deliberate restarting of algorithms, a meta technique, in order to improve the algorithm's performance, e.g., convergence rates or approximation guarantees. One of the major advantages is that…

Optimization and Control · Mathematics 2020-06-29 Sebastian Pokutta

Restart is a general framework, of prime importance and wide applicability, for expediting first-passage times and completion times of general stochastic processes. Restart protocols can use either deterministic or stochastic timers.…

Statistical Mechanics · Physics 2020-10-27 Iddo Eliazar , Shlomi Reuveni

SAT solvers are indispensable in formal verification for hardware and software with many important applications. CDCL is the most widely used framework for modern SAT solvers, and restart is an essential technique of CDCL. When restarting,…

Logic in Computer Science · Computer Science 2024-05-29 Xindi Zhang , Zhihan Chen , Shaowei Cai

Operating under real world conditions is challenging due to the possibility of a wide range of failures induced by execution errors and state uncertainty. In relatively benign settings, such failures can be overcome by retrying or executing…

Robotics · Computer Science 2023-03-10 Shivam Vats , Maxim Likhachev , Oliver Kroemer

Systems and machines undergo various failure modes that result in machine health degradation, so maintenance actions are required to restore them back to a state where they can perform their expected functions. Since maintenance tasks are…

Machine Learning · Computer Science 2023-07-11 Oluwaseyi Ogunfowora , Homayoun Najjaran

One possible approach to tackle the class imbalance in classification tasks is to resample a training dataset, i.e., to drop some of its elements or to synthesize new ones. There exist several widely-used resampling methods. Recent research…

Machine Learning · Computer Science 2018-09-18 Smolyakov Dmitry , Alexander Korotin , Pavel Erofeev , Artem Papanov , Evgeny Burnaev

In order to classify the indeterministic termination behavior of the open source SAT solver CryptoMiniSat in multi-threading mode while processing hard to solve boolean satisfiability problem instances, internal solver runtime parameters…

Artificial Intelligence · Computer Science 2021-12-20 A. -M. Leventi-Peetz , Jörg-Volker Peetz , Martina Rohde

Tasks requiring deductive reasoning, especially those involving multiple steps, often demand adaptive strategies such as intermediate generation of rationales or programs, as no single approach is universally optimal. While Language Models…

Artificial Intelligence · Computer Science 2024-10-22 Rongxing Liu , Kumar Shridhar , Manish Prajapat , Patrick Xia , Mrinmaya Sachan

A common strategy for improving optimization algorithms is to restart the algorithm when it is believed to be trapped in an inferior part of the search space. However, while specific restart strategies have been developed for specific…

Artificial Intelligence · Computer Science 2016-09-14 Tobias Friedrich , Timo Kötzing , Markus Wagner

This paper examines restart strategies for algorithms whose successful termination depends on an unknown parameter $\lambda$. After each restart, $\lambda$ is increased, until the algorithm terminates successfully. It is assumed that there…

Optimization and Control · Mathematics 2025-01-20 Lisa Schönenberger , Hans-Georg Beyer

A key challenge in solving a combinatorial optimization problem is how to guide the agent (i.e., solver) to efficiently explore the enormous search space. Conventional approaches often rely on enumeration (e.g., exhaustive, random, or tabu…

Artificial Intelligence · Computer Science 2020-08-11 Xingwen Zhang , Shuang Yang

Local search algorithms applied to optimization problems often suffer from getting trapped in a local optimum. The common solution for this deficiency is to restart the algorithm when no progress is observed. Alternatively, one can start…

Machine Learning · Computer Science 2014-01-17 András György , Levente Kocsis

Boolean satisfiability (SAT) is a fundamental NP-complete problem with many applications, including automated planning and scheduling. To solve large instances, SAT solvers have to rely on heuristics, e.g., choosing a branching variable in…

Artificial Intelligence · Computer Science 2023-07-19 Mikhail Shirokikh , Ilya Shenbin , Anton Alekseev , Sergey Nikolenko

Decision lists are one of the most easily explainable machine learning models. Given the renewed emphasis on explainable machine learning decisions, this machine learning model is increasingly attractive, combining small size and clear…

Artificial Intelligence · Computer Science 2020-10-21 Jinqiang Yu , Alexey Ignatiev , Pierre Le Bodic , Peter J. Stuckey
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