English
Related papers

Related papers: Quant-BnB: A Scalable Branch-and-Bound Method for …

200 papers

We propose a hybrid algorithmic strategy for complex stochastic optimization problems, which combines the use of scenario trees from multistage stochastic programming with machine learning techniques for learning a policy in the form of a…

Optimization and Control · Mathematics 2019-10-25 Boris Defourny , Damien Ernst , Louis Wehenkel

We study iterative methods for (two-stage) robust combinatorial optimization problems with discrete uncertainty. We propose a machine-learning-based heuristic to determine starting scenarios that provide strong lower bounds. To this end, we…

Optimization and Control · Mathematics 2022-12-26 Marc Goerigk , Jannis Kurtz

Random forests are an ensemble method relevant for many problems, such as regression or classification. They are popular due to their good predictive performance (compared to, e.g., decision trees) requiring only minimal tuning of…

Methodology · Statistics 2022-10-20 Nikolaus Umlauf , Nadja Klein

While modern biotechnologies allow synthesizing new proteins and function measurements at scale, efficiently exploring a protein sequence space and engineering it remains a daunting task due to the vast sequence space of any given protein.…

Biomolecules · Quantitative Biology 2024-01-15 Jiahao Qiu , Hui Yuan , Jinghong Zhang , Wentao Chen , Huazheng Wang , Mengdi Wang

Classification trees continue to be widely adopted in machine learning applications due to their inherently interpretable nature and scalability. We propose a rolling subtree lookahead algorithm that combines the relative scalability of the…

Machine Learning · Computer Science 2023-04-24 Zeynel Batuhan Organ , Enis Kayış , Taghi Khaniyev

The full strong branching (FSB) rule is well known to produce extremely small branch-and-bound trees. This rule guides branching decisions based exclusively on the information regarding local gains in the linear programming (LP) bounds. We…

Optimization and Control · Mathematics 2025-07-15 Prachi Shah , Santanu S. Dey

Optimization problems in disciplines such as machine learning are commonly solved with iterative methods. Gradient descent algorithms find local minima by moving along the direction of steepest descent while Newton's method takes into…

Quantum Physics · Physics 2018-08-20 Patrick Rebentrost , Maria Schuld , Leonard Wossnig , Francesco Petruccione , Seth Lloyd

Tackling simulation optimization problems with non-convex objective functions remains a fundamental challenge in operations research. In this paper, we propose a class of random search algorithms, called Regular Tree Search, which…

Optimization and Control · Mathematics 2025-06-24 Du-Yi Wang , Guo Liang , Guangwu Liu , Kun Zhang

In this paper, a branch and bound algorithm that incorporates the decision maker's preference information is proposed for multiobjective optimization. In the proposed algorithm, a new discarding test is designed to check whether a box…

Optimization and Control · Mathematics 2023-02-28 Weitian Wu , Xinmin Yang

We consider range minimization problems featuring exponentially many variables, as frequently arising in fairness-oriented or bi-objective optimization. While branch and price is successful at solving cost-oriented problems with many…

Optimization and Control · Mathematics 2025-05-08 Bart van Rossum , Rui Chen , Andrea Lodi

Binary segmentation is the classic greedy algorithm which recursively splits a sequential data set by optimizing some loss or likelihood function. Binary segmentation is widely used for changepoint detection in data sets measured over space…

Machine Learning · Computer Science 2024-10-14 Toby Dylan Hocking

Decision trees are interpretable models that are well-suited to non-linear learning problems. Much work has been done on extending decision tree learning algorithms with differential privacy, a system that guarantees the privacy of samples…

Machine Learning · Computer Science 2023-10-13 Daniël Vos , Jelle Vos , Tianyu Li , Zekeriya Erkin , Sicco Verwer

The problem of {\em efficiently} finding the best match for a query in a given set with respect to the Euclidean distance or the cosine similarity has been extensively studied in literature. However, a closely related problem of efficiently…

Computational Geometry · Computer Science 2021-06-24 Parikshit Ram , Alexander G. Gray

Tree-based machine learning techniques, such as Decision Trees and Random Forests, are top performers in several domains as they do well with limited training datasets and offer improved interpretability compared to Deep Neural Networks…

Emerging Technologies · Computer Science 2021-10-27 Giacomo Pedretti , Catherine E. Graves , Can Li , Sergey Serebryakov , Xia Sheng , Martin Foltin , Ruibin Mao , John Paul Strachan

A convenient approach to optimally solving combinatorial optimization tasks is the Branch-and-Bound method. Its branching heuristic can be learned to solve a large set of similar tasks. The promising results here are achieved by the…

Machine Learning · Computer Science 2026-05-22 D. Sorokin , A. Kostin , L. Savchenko , G. Gusev , A. V. Savchenko

Corporations today collect data at an unprecedented and accelerating scale, making the need to run queries on large datasets increasingly important. Technologies such as columnar block-based data organization and compression have become…

A multiple objective simulation optimization algorithm named Multiple Objective Probabilistic Branch and Bound with Single Observation (MOPBnB(so)) is presented for approximating the Pareto optimal set and the associated efficient frontier…

Optimization and Control · Mathematics 2025-06-06 Hao Huang , Zelda B. Zabinsky

Leveraging quantum computers for optimization problems holds promise across various application domains. Nevertheless, utilizing respective quantum computing solvers requires describing the optimization problem according to the Quadratic…

Quantum Physics · Physics 2025-10-15 Deborah Volpe , Nils Quetschlich , Mariagrazia Graziano , Giovanna Turvani , Robert Wille

Tree ensemble models such as random forests and boosted trees are among the most widely used and practically successful predictive models in applied machine learning and business analytics. Although such models have been used to make…

Optimization and Control · Mathematics 2019-10-11 Velibor V. Mišić

Conventional decision trees have a number of favorable properties, including interpretability, a small computational footprint and the ability to learn from little training data. However, they lack a key quality that has helped fuel the…

Machine Learning · Statistics 2017-12-08 Thomas Hehn , Fred A. Hamprecht