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Mixed integer linear programs are commonly solved by Branch and Bound algorithms. A key factor of the efficiency of the most successful commercial solvers is their fine-tuned heuristics. In this paper, we leverage patterns in real-world…

Machine Learning · Computer Science 2020-12-02 Marc Etheve , Zacharie Alès , Côme Bissuel , Olivier Juan , Safia Kedad-Sidhoum

Original and learnt clauses in Conflict-Driven Clause Learning (CDCL) SAT solvers often contain redundant literals. This may have a negative impact on performance because redundant literals may deteriorate both the effectiveness of Boolean…

Artificial Intelligence · Computer Science 2018-07-31 Chu-Min Li , Fan Xiao , Mao Luo , Felip Manyà , Zhipeng Lü , Yu Li

Several algorithms for solving constraint satisfaction problems are based on survey propagation, a variational inference scheme used to obtain approximate marginal probability estimates for variable assignments. These marginals correspond…

Artificial Intelligence · Computer Science 2020-01-29 Aditya Grover , Tudor Achim , Stefano Ermon

Conflict-Driven Clause-Learning SAT solvers crucially depend on the Variable State Independent Decaying Sum (VSIDS) branching heuristic for their performance. Although VSIDS was proposed nearly fifteen years ago, and many other branching…

Logic in Computer Science · Computer Science 2015-09-16 Jia Hui Liang , Vijay Ganesh , Ed Zulkoski , Atulan Zaman , Krzysztof Czarnecki

We propose a Similarity-Based Stratified Splitting (SBSS) technique, which uses both the output and input space information to split the data. The splits are generated using similarity functions among samples to place similar samples in…

Machine Learning · Computer Science 2020-10-14 Felipe Farias , Teresa Ludermir , Carmelo Bastos-Filho

Repeated Sampling (RS) is a simple inference-time algorithm that has been shown to improve model performance on complex tasks. Although it is an effective way of scaling inference time, it often struggles to generate diverse solution…

Artificial Intelligence · Computer Science 2026-02-17 Divij Handa , Mihir Parmar , Aswin RRV , Md Nayem Uddin , Hamid Palangi , Chitta Baral

Specifying a proper input distribution is often a challenging task in simulation modeling. In practice, there may be multiple plausible distributions that can fit the input data reasonably well, especially when the data volume is not large.…

Methodology · Statistics 2019-03-15 Weiwei Fan , L. Jeff Hong , Xiaowei Zhang

Restart strategies are an important factor in the performance of conflict-driven Davis Putnam style SAT solvers. Selecting a good restart strategy for a problem instance can enhance the performance of a solver. Inspired by recent success…

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

Vision-based reinforcement learning (RL) is a promising technique to solve control tasks involving images as the main observation. State-of-the-art RL algorithms still struggle in terms of sample efficiency, especially when using image…

Machine Learning · Computer Science 2021-09-29 Elie Aljalbout , Maximilian Ulmer , Rudolph Triebel

The use of machine learning techniques to improve the performance of branch-and-bound optimization algorithms is a very active area in the context of mixed integer linear problems, but little has been done for non-linear optimization. To…

Subsampling is a widely used and effective approach for addressing the computational challenges posed by massive datasets. Substantial progress has been made in developing non-uniform, probability-based subsampling schemes that prioritize…

Methodology · Statistics 2026-05-07 Dingyi Wang , Haiying Wang , Qingpei Hu

Finding a maximum independent set is a fundamental NP-hard problem that is used in many real-world applications. Given an unweighted graph, this problem asks for a maximum cardinality set of pairwise non-adjacent vertices. Some of the most…

Data Structures and Algorithms · Computer Science 2021-03-30 Demian Hespe , Sebastian Lamm , Christian Schorr

In many operational applications, it is necessary to routinely find, within a very limited time window, provably good solutions to challenging mixed-integer linear programming (MILP) problems. An example is the Security-Constrained Unit…

Optimization and Control · Mathematics 2022-08-23 Xiaoyi Gu , Santanu S. Dey , Álinson S. Xavier , Feng Qiu

Propositional model counting, or #SAT, is the problem of computing the number of satisfying assignments of a Boolean formula. Many problems from different application areas, including many discrete probabilistic inference problems, can be…

Machine Learning · Computer Science 2022-09-12 Pashootan Vaezipoor , Gil Lederman , Yuhuai Wu , Chris J. Maddison , Roger Grosse , Sanjit A. Seshia , Fahiem Bacchus

It has been widely observed that there is no single "dominant" SAT solver; instead, different solvers perform best on different instances. Rather than following the traditional approach of choosing the best solver for a given class of…

Artificial Intelligence · Computer Science 2011-11-10 Lin Xu , Frank Hutter , Holger H. Hoos , Kevin Leyton-Brown

Deriving a good variable selection strategy in branch-and-bound is essential for the efficiency of modern mixed-integer programming (MIP) solvers. With MIP branching data collected during the previous solution process, learning to branch…

Machine Learning · Computer Science 2022-07-29 Zeren Huang , Wenhao Chen , Weinan Zhang , Chuhan Shi , Furui Liu , Hui-Ling Zhen , Mingxuan Yuan , Jianye Hao , Yong Yu , Jun Wang

In classification problems, sampling bias between training data and testing data is critical to the ranking performance of classification scores. Such bias can be both unintentionally introduced by data collection and intentionally…

Methodology · Statistics 2017-11-02 Chandler Zuo

Training neural networks with large batch is of fundamental significance to deep learning. Large batch training remarkably reduces the amount of training time but has difficulties in maintaining accuracy. Recent works have put forward…

Machine Learning · Computer Science 2020-11-30 Jeffrey Fong , Siwei Chen , Kaiqi Chen

Multiple importance sampling (MIS) is an indispensable tool in rendering that constructs robust sampling strategies by combining the respective strengths of individual distributions. Its efficiency can be greatly improved by carefully…

Graphics · Computer Science 2024-10-29 Joshua Meyer , Alexander Rath , Ömercan Yazici , Philipp Slusallek

We study the problem of efficiently estimating counts for queries involving complex filters, such as user-defined functions, or predicates involving self-joins and correlated subqueries. For such queries, traditional sampling techniques may…

Databases · Computer Science 2020-01-01 Brett Walenz , Stavros Sintos , Sudeepa Roy , Jun Yang
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