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In sphere of research of discrete optimization algorithms efficiency the important place occupies a method of polynomial reducibility of some problems to others with use of special purpose components. In this paper a novel method of compact…

Data Structures and Algorithms · Computer Science 2013-09-25 V. F. Romanov

Quantum error correction (QEC) is essential for operating quantum computers in the presence of noise. Here, we accurately decode arbitrary Calderbank-Shor-Steane (CSS) codes via the maximum satisfiability (MaxSAT) problem. We show how to…

Quantum Physics · Physics 2024-10-03 Mohammadreza Noormandipour , Tobias Haug

CP tensor decomposition with alternating least squares (ALS) is dominated in cost by the matricized-tensor times Khatri-Rao product (MTTKRP) kernel that is necessary to set up the quadratic optimization subproblems. State-of-art parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-26 Linjian Ma , Edgar Solomonik

Solving optimization problems in which functions are blackboxes and variables involve different types poses significant theoretical and algorithmic challenges. Nevertheless, such settings frequently occur in simulation-based engineering…

Optimization and Control · Mathematics 2025-06-25 Charles Audet , Youssef Diouane , Edward Hallé-Hannan , Sébastien Le Digabel , Christophe Tribes

Over the last two decades, we have seen a dramatic improvement in the efficiency of conflict-driven clause-learning Boolean satisfiability (CDCL SAT) solvers on industrial problems from a variety of domains. The availability of such…

Logic in Computer Science · Computer Science 2020-05-28 Saeed Nejati , Vijay Ganesh

Our work presents a novel reinforcement learning (RL) based framework to optimize heuristic selection within the conflict-driven clause learning (CDCL) process, improving the efficiency of Boolean satisfiability (SAT) solving. The proposed…

Computation and Language · Computer Science 2025-12-05 Muyu Pan , Matthew Walter , Dheeraj Kodakandla , Mahfuza Farooque

Conflict-Driven Clause Learning (CDCL) is the mainstream framework for solving the Satisfiability problem (SAT), and CDCL solvers typically rely on various heuristics, which have a significant impact on their performance. Modern CDCL…

Artificial Intelligence · Computer Science 2024-11-14 Yiwen Sun , Furong Ye , Xianyin Zhang , Shiyu Huang , Bingzhen Zhang , Ke Wei , Shaowei Cai

Abstract geometrical computation can solve hard combinatorial problems efficiently: we showed previously how Q-SAT can be solved in bounded space and time using instance-specific signal machines and fractal parallelization. In this article,…

Computational Complexity · Computer Science 2015-03-19 Denys Duchier , Jérôme Durand-Lose , Maxime Senot

Maximum Satisfiability (MaxSAT) is a well-known optimization pro- blem, with several practical applications. The most widely known MAXS AT algorithms are ineffective at solving hard problems instances from practical application domains.…

Artificial Intelligence · Computer Science 2007-12-10 Joao Marques-Silva , Jordi Planes

In the multi-agent path finding problem (MAPF) we are given a set of agents each with respective start and goal positions. The task is to find paths for all agents while avoiding collisions aiming to minimize an objective function. Two such…

Artificial Intelligence · Computer Science 2018-12-31 Pavel Surynek

This paper introduces the MCTS algorithm to the financial world and focuses on solving significant multi-period financial planning models by combining a Monte Carlo Tree Search algorithm with a deep neural network. The MCTS provides an…

Computational Finance · Quantitative Finance 2022-05-19 Afşar Onat Aydınhan , Xiaoyue Li , John M. Mulvey

Online planning is crucial for high performance in many complex sequential decision-making tasks. Monte Carlo Tree Search (MCTS) employs a principled mechanism for trading off exploration for exploitation for efficient online planning, and…

Artificial Intelligence · Computer Science 2024-02-08 Kalle Kujanpää , Amin Babadi , Yi Zhao , Juho Kannala , Alexander Ilin , Joni Pajarinen

In this paper we introduce Clause Cuts: linear inequalities obtained from clauses that are logically implied by a CNF formula, resembling strengthened no-good cuts. With these cuts, we tighten mixed-integer linear programming (MILP)…

Optimization and Control · Mathematics 2025-09-29 Max Engelhardt , Milan Adhikari , Jonasz Staszek , Alexander Martin

In recent years, attention has been focused on the relationship between black-box optimiza- tion problem and reinforcement learning problem. In this research, we propose the Mirror Descent Search (MDS) algorithm which is applicable both for…

Machine Learning · Computer Science 2018-05-15 Megumi Miyashita , Shiro Yano , Toshiyuki Kondo

Integrating logical reasoning within deep learning architectures has been a major goal of modern AI systems. In this paper, we propose a new direction toward this goal by introducing a differentiable (smoothed) maximum satisfiability…

Machine Learning · Computer Science 2019-05-30 Po-Wei Wang , Priya L. Donti , Bryan Wilder , Zico Kolter

We present Doubly Robust Monte Carlo Tree Search (DR-MCTS), a novel algorithm that integrates Doubly Robust (DR) off-policy estimation into Monte Carlo Tree Search (MCTS) to enhance sample efficiency and decision quality in complex…

Machine Learning · Statistics 2025-02-05 Manqing Liu , Andrew L. Beam

The performance of Variational Quantum Algorithms (VQAs) strongly depends on the choice of the parameterized quantum circuit to optimize. One of the biggest challenges in VQAs is designing quantum circuits tailored to the particular…

Quantum Physics · Physics 2026-05-06 Vincenzo Lipardi , Domenica Dibenedetto , Georgios Stamoulis , Mark H. M. Winands

Monte Carlo Tree Search (MCTS) is a powerful algorithm for solving complex decision-making problems. This paper presents an optimized MCTS implementation applied to the FrozenLake environment, a classic reinforcement learning task…

Artificial Intelligence · Computer Science 2024-09-26 Esteban Aldana Guerra

Effective exploration is a key to successful search. The recently proposed Negatively Correlated Search (NCS) tries to achieve this by parallel exploration, where a set of search processes are driven to be negatively correlated so that…

Neural and Evolutionary Computing · Computer Science 2023-09-26 Peng Yang , Qi Yang , Ke Tang , Xin Yao

Monte Carlo Tree Search (MCTS) is particularly adapted to domains where the potential actions can be represented as a tree of sequential decisions. For an effective action selection, MCTS performs many simulations to build a reliable tree…

Artificial Intelligence · Computer Science 2018-09-10 Seydou Ba , Takuya Hiraoka , Takashi Onishi , Toru Nakata , Yoshimasa Tsuruoka
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