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We propose a new Pareto Local Search Algorithm for the many-objective combinatorial optimization. Pareto Local Search proved to be a very effective tool in the case of the bi-objective combinatorial optimization and it was used in a number…

Data Structures and Algorithms · Computer Science 2017-12-15 Andrzej Jaszkiewicz

Incorporating user preferences into multi-objective Bayesian optimization (MOBO) allows for personalization of the optimization procedure. Preferences are often abstracted in the form of an unknown utility function, estimated through…

Machine Learning · Computer Science 2025-03-19 Joshua Hang Sai Ip , Ankush Chakrabarty , Ali Mesbah , Diego Romeres

Large language models (LLMs) are highly sensitive to prompts, but most automatic prompt optimization (APO) methods assume access to ground-truth references (e.g., labeled validation data) that are costly to obtain. We propose the Prompt…

Computation and Language · Computer Science 2026-04-10 Yuanchen Wu , Saurabh Verma , Justin Lee , Fangzhou Xiong , Poppy Zhang , Amel Awadelkarim , Xu Chen , Yubai Yuan , Shawndra Hill

Bilevel optimization is a mathematical modeling formulation for hierarchical systems and two-player interactions, with wide-ranging applications in environmental, energy, and control engineering. Despite its utility, the mixed-integer…

Optimization and Control · Mathematics 2026-04-02 Meng-Lin Tsai , Parth Brahmbhatt , Styliani Avraamidou

Constrained Optimum Path (COP) problems appear in many real-life applications, especially on communication networks. Some of these problems have been considered and solved by specific techniques which are usually difficult to extend. In…

Artificial Intelligence · Computer Science 2009-10-08 Quang Dung Pham , Yves Deville , Pascal Van Hentenryck

Profile-Guided Optimization (PGO) is an excellent means to improve the performance of a compiled program. Indeed, the execution path data it provides helps the compiler to generate better code and better cacheline packing. At the time of…

Programming Languages · Computer Science 2014-11-25 Baptiste Wicht , Roberto A. Vitillo , Dehao Chen , David Levinthal

We explore the potential of continuous local search (CLS) in SAT solving by proposing a novel approach for finding a solution of a hybrid system of Boolean constraints. The algorithm is based on CLS combined with belief propagation on…

Artificial Intelligence · Computer Science 2021-06-15 Anastasios Kyrillidis , Moshe Y. Vardi , Zhiwei Zhang

The article describes the proposition and application of a local search metaheuristic for multi-objective optimization problems. It is based on two main principles of heuristic search, intensification through variable neighborhoods, and…

Artificial Intelligence · Computer Science 2009-07-20 Martin Josef Geiger

We introduce Parametric Density Path Optimization (PDPO), a novel method for computing action-minimizing paths between probability densities. The core idea is to represent the target probability path as the pushforward of a reference…

Optimization and Control · Mathematics 2025-12-08 Sebastian Gutierrez Hernandez , Peng Chen , Haomin Zhou

Bayesian optimization and Lipschitz optimization have developed alternative techniques for optimizing black-box functions. They each exploit a different form of prior about the function. In this work, we explore strategies to combine these…

Machine Learning · Computer Science 2020-07-29 Mohamed Osama Ahmed , Sharan Vaswani , Mark Schmidt

Bayesian optimization is efficient even with a small amount of data and is used in engineering and in science, including biology and chemistry. In Bayesian optimization, a parameterized model with an uncertainty is fitted to explain the…

Machine Learning · Computer Science 2024-12-06 Yujin Taguchi , Yusuke Shibuya , Yusuke Hiki , Takashi Morikura , Takahiro G. Yamada , Akira Funahashi

Gaussian process (GP) model based optimization is widely applied in simulation and machine learning. In general, it first estimates a GP model based on a few observations from the true response and then employs this model to guide the…

Machine Learning · Statistics 2021-07-08 Qun Meng , Songhao Wang , Szu Hui Ng

We present a massively parallel Lagrange decomposition method for solving 0--1 integer linear programs occurring in structured prediction. We propose a new iterative update scheme for solving the Lagrangean dual and a perturbation technique…

Optimization and Control · Mathematics 2022-04-20 Ahmed Abbas , Paul Swoboda

Low Autocorrelation Binary Sequences (LABS) is a particularly challenging binary optimization problem which quickly becomes intractable in finding the global optimum for problem sizes beyond 66. This aspect makes LABS appealing to use as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-18 Zhiwei Zhang , Jiayu Shen , Niraj Kumar , Marco Pistoia

Artificial intelligence (AI) shows great potential to reduce the huge cost of solving partial differential equations (PDEs). However, it is not fully realized in practice as neural networks are defined and trained on fixed domains and…

Machine Learning · Computer Science 2025-04-16 Hongyu Li , Ximeng Ye , Peng Jiang , Guoliang Qin , Tiejun Wang

Bayesian optimization (BO) is one of the most effective methods for closed-loop experimental design and black-box optimization. However, a key limitation of BO is that it is an inherently sequential algorithm (one experiment is proposed per…

Machine Learning · Statistics 2023-11-21 Leonardo D. González , Victor M. Zavala

Preference optimization techniques, such as Direct Preference Optimization (DPO), are frequently employed to enhance the reasoning capabilities of large language models (LLMs) in domains like mathematical reasoning and coding, typically…

Computation and Language · Computer Science 2025-02-17 Fangkai Jiao , Geyang Guo , Xingxing Zhang , Nancy F. Chen , Shafiq Joty , Furu Wei

The aim of this paper is to compare the performance of a local solution technique -- namely Sequential Linear Programming (SLP) employing random starting points -- with state-of-the-art global solvers such as Baron and more sophisticated…

Optimization and Control · Mathematics 2020-02-26 Andreas Grothey , Ken McKinnon

Hyperparameter tuning is a key component of machine learning procedures, but when validation data contain sensitive user information, search mechanisms can leak private information through the selected configuration. Existing differentially…

Machine Learning · Statistics 2026-05-12 Getoar Sopa , Juraj Marusic , Marco Avella Medina , John P. Cunningham

In scenarios where multiple decision-makers operate within a common decision space, each focusing on their own multi-objective optimization problem (e.g., bargaining games), the problem can be modeled as a multi-party multi-objective…

Neural and Evolutionary Computing · Computer Science 2025-11-04 Yuetong Sun , Peilan Xu , Wenjian Luo
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