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In this article, we propose a Newton-based method for solving multiobjective interval optimization problems (MIOPs). We first provide a connection between weakly Pareto optimal points and Pareto critical points in the context of MIOPs.…

Optimization and Control · Mathematics 2026-03-09 Tapas Mondal , Debdas Ghosh , Do Sang Kim

This paper proposes the algorithm NOWPAC (Nonlinear Optimization With Path-Augmented Constraints) for nonlinear constrained derivative-free optimization. The algorithm uses a trust region framework based on fully linear models for the…

Optimization and Control · Mathematics 2015-11-18 F. Augustin , Y. M. Marzouk

The SCIP Optimization Suite provides a collection of software packages for mathematical optimization centered around the constraint integer programming framework SCIP. The focus of this paper is on the role of the SCIP Optimization Suite in…

The advent of efficient interior point optimization methods has enabled the tractable solution of large-scale linear and nonlinear programming (NLP) problems. A prominent example of such a method is seen in Ipopt, a widely-used, open-source…

Optimization and Control · Mathematics 2019-09-19 Byron Tasseff , Carleton Coffrin , Andreas Wächter , Carl Laird

Changepoint detection is an important problem with applications across many application domains. There are many different types of changes that one may wish to detect, and a wide-range of algorithms and software for detecting them. However…

Computation · Statistics 2022-08-24 Paul Fearnhead , Daniel Grose

Sensitivity-based distributed programming (SBDP) is a decomposition method for solving large-scale nonlinear programs over graph-structured networks. However, its convergence depends on the strength and structure of subsystem coupling. To…

Optimization and Control · Mathematics 2026-05-20 Maximilian Pierer von Esch , Andreas Völz , Knut Graichen

Stochastic dual dynamic programming (SDDP) is a state-of-the-art method for solving multi-stage stochastic optimization, widely used for modeling real-world process optimization tasks. Unfortunately, SDDP has a worst-case complexity that…

Machine Learning · Computer Science 2021-12-03 Hanjun Dai , Yuan Xue , Zia Syed , Dale Schuurmans , Bo Dai

The rapid development of large language models (LLMs) has driven the demand for more efficient optimization techniques. Among these, the Lookahead family of optimizers employs a two-loop framework, maintaining fast and slow sets of model…

Machine Learning · Computer Science 2025-10-20 Dominik Kallusky , Vinay Rao , Vishal Nandavanam , Hao-Jun Michael Shi

Asymmetric Distributed Constraint Optimization Problems (ADCOPs) have emerged as an important formalism in multi-agent community due to their ability to capture personal preferences. However, the existing search-based complete algorithms…

Multiagent Systems · Computer Science 2019-04-12 Yanchen Deng , Ziyu Chen , Dingding Chen , Xingqiong Jiang , Qiang Li

Deep neural networks (DNNs) have been proven to have many redundancies. Hence, many efforts have been made to compress DNNs. However, the existing model compression methods treat all the input samples equally while ignoring the fact that…

Machine Learning · Computer Science 2018-07-05 Zhisheng Wang , Fangxuan Sun , Jun Lin , Zhongfeng Wang , Bo Yuan

The paper develops the Adaptive Dynamic Programming Toolbox (ADPT), which solves optimal control problems for continuous-time nonlinear systems. Based on the adaptive dynamic programming technique, the ADPT computes optimal feedback…

Optimization and Control · Mathematics 2021-01-01 Xiaowei Xing , Dong Eui Chang

With the accumulation of resources in the era of big data and the rise of pre-trained models in deep learning, optimizing neural networks for various tasks often involves different strategies for fine-tuning pre-trained models versus…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Xin Ning , Qiankun Li , Xiaolong Huang , Qiupu Chen , Feng He , Weijun Li , Prayag Tiwari , Xinwang Liu

A novel Python framework for Bayesian optimization known as GPflowOpt is introduced. The package is based on the popular GPflow library for Gaussian processes, leveraging the benefits of TensorFlow including automatic differentiation,…

Machine Learning · Statistics 2017-11-13 Nicolas Knudde , Joachim van der Herten , Tom Dhaene , Ivo Couckuyt

This paper introduces tvopt, a Python framework for prototyping and benchmarking time-varying (or online) optimization algorithms. The paper first describes the theoretical approach that informed the development of tvopt. Then it discusses…

Mathematical Software · Computer Science 2024-05-07 Nicola Bastianello

In this paper, a new python package (optipoly) is described that solves box-constrained optimization problem over multivariate polynomial cost functions. The principle of the algorithm is described before its performance is compared to…

Computational Engineering, Finance, and Science · Computer Science 2025-03-27 Mazen Alamir

Numerical software is usually shipped with built-in hyperparameters. By carefully tuning those hyperparameters, significant performance enhancements can be achieved for specific applications. We developed MindOpt Tuner, a new automatic…

Mathematical Software · Computer Science 2023-07-18 Mengyuan Zhang , Wotao Yin , Mengchang Wang , Yangbin Shen , Peng Xiang , You Wu , Liang Zhao , Junqiu Pan , Hu Jiang , KuoLing Huang

We introduce AutoLyap, a software suite that assists with Lyapunov analyses of a wide class of first-order methods for structured optimization and inclusion problems. Lyapunov analyses are structured proof patterns, with historical roots in…

Optimization and Control · Mathematics 2026-03-03 Manu Upadhyaya , Shuvomoy Das Gupta , Adrien B. Taylor , Sebastian Banert , Pontus Giselsson

The goal of this paper is to present an overview of the software collection for the solution of linear and nonlinear semidefinite optimization problems PENNON. In the first part we present theoretical and practical details of the underlying…

Optimization and Control · Mathematics 2015-04-29 Michal Kocvara , Michael Stingl

In recent years, numerous vision and learning tasks have been (re)formulated as nonconvex and nonsmooth programmings(NNPs). Although some algorithms have been proposed for particular problems, designing fast and flexible optimization…

Computer Vision and Pattern Recognition · Computer Science 2017-07-03 Yiyang Wang , Risheng Liu , Xiaoliang Song , Zhixun Su

We present a new software, HYPPO, that enables the automatic tuning of hyperparameters of various deep learning (DL) models. Unlike other hyperparameter optimization (HPO) methods, HYPPO uses adaptive surrogate models and directly accounts…