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Mathematical models are used extensively for diverse tasks including analysis, optimization, and decision making. Frequently, those models are principled but imperfect representations of reality. This is either due to incomplete physical…

Machine Learning · Statistics 2017-11-15 Remi R. Lam , Lior Horesh , Haim Avron , Karen E. Willcox

Real-life engineering optimization problems need Multiobjective Optimization (MOO) tools. These problems are highly nonlinear. As the process of Multiple Criteria Decision-Making (MCDM) is much expanded most MOO problems in different…

Software Engineering · Computer Science 2010-04-20 A. Mosavi

In this paper, we focus on a method based on optimal control to address the optimization problem. The objective is to find the optimal solution that minimizes the objective function. We transform the optimization problem into optimal…

Optimization and Control · Mathematics 2023-09-12 Yeming Xu , Ziyuan Guo , Hongxia Wang , Huanshui Zhang

Formulating real-world optimization problems often begins with making predictions from historical data (e.g., an optimizer that aims to recommend fast routes relies upon travel-time predictions). Typically, learning the prediction model…

Machine Learning · Computer Science 2021-12-20 Chris Cameron , Jason Hartford , Taylor Lundy , Kevin Leyton-Brown

Regression is a fundamental tool in scientific research. Ordinary least squares (OLS), one of the most widely used regression methods, enjoys several desirable properties, including the best linear unbiased estimator (BLUE) property. It is…

Methodology · Statistics 2026-05-29 Hwiyoung Lee , Shuo Chen

Several scenarios require the optimization of non-convex black-box functions, that are noisy expensive to evaluate functions with unknown analytical expression, whose gradients are hence not accessible. For example, the hyper-parameter…

Machine Learning · Computer Science 2025-02-12 Eduardo C. Garrido-Merchán

Selecting the number of regimes in Hidden Markov models is an important problem. There are many criteria that are used to select this number, such as Akaike information criterion (AIC), Bayesian information criterion (BIC), integrated…

Methodology · Statistics 2024-09-23 Bouchra R Nasri , Bruno N Rémillard , Mamadou Y Thioub

Parameter selection in high-dimensional models is typically finetuned in a way that keeps the (relative) number of false positives under control. This is because otherwise the few true positives may be dominated by the many possible false…

Machine Learning · Computer Science 2023-06-27 Maarten Jansen

Parameter control and dynamic algorithm configuration study how to dynamically choose suitable configurations of a parametrized algorithm during the optimization process. Despite being an intensively researched topic in evolutionary…

Neural and Evolutionary Computing · Computer Science 2025-07-14 Gianluca Covini , Denis Antipov , Carola Doerr

We introduce Dynamic Information Sub-Selection (DISS), a novel framework of AI assistance designed to enhance the performance of black-box decision-makers by tailoring their information processing on a per-instance basis. Blackbox…

Machine Learning · Computer Science 2024-11-01 Hung-Tien Huang , Maxwell Lennon , Shreyas Bhat Brahmavar , Sean Sylvia , Junier B. Oliva

In multivariate extreme value analysis, the estimation of the dependence structure in extremes is demanding, especially in the context of high-dimensional data. Therefore, a common approach is to reduce the model dimension by considering…

Methodology · Statistics 2025-07-08 Lucas Butsch , Vicky Fasen-Hartmann

The performance of algorithmic decision rules is largely dependent on the quality of training datasets available to them. Biases in these datasets can raise economic and ethical concerns due to the resulting algorithms' disparate treatment…

Machine Learning · Computer Science 2025-04-14 Yifan Yang , Yang Liu , Parinaz Naghizadeh

Over the last decade, research on automated parameter tuning, often referred to as automatic algorithm configuration (AAC), has made significant progress. Although the usefulness of such tools has been widely recognized in real world…

Machine Learning · Computer Science 2019-11-20 Shengcai Liu , Ke Tang , Yunwen Lei , Xin Yao

As algorithmic prediction systems have become widespread, fears that these systems may inadvertently discriminate against members of underrepresented populations have grown. With the goal of understanding fundamental principles that…

Machine Learning · Computer Science 2019-08-02 Sumegha Garg , Michael P. Kim , Omer Reingold

Algorithms often have tunable parameters that impact performance metrics such as runtime and solution quality. For many algorithms used in practice, no parameter settings admit meaningful worst-case bounds, so the parameters are made…

Machine Learning · Computer Science 2021-04-27 Maria-Florina Balcan , Dan DeBlasio , Travis Dick , Carl Kingsford , Tuomas Sandholm , Ellen Vitercik

Achieving optimality in controlling physical systems is a profound challenge across diverse scientific and engineering fields, spanning neuromechanics, biochemistry, autonomous systems, economics, and beyond. Traditional solutions, relying…

Optimization and Control · Mathematics 2025-02-14 Tingli Hu , Sami Haddadin

Bayesian optimization is a sequential method for minimizing objective functions that are expensive to evaluate and about which few assumptions can be made. By using all gathered data to train a Gaussian process model for the function and…

Machine Learning · Computer Science 2026-05-07 Jesse Schneider , William J. Welch

The predict-then-optimize (PTO) framework is a standard approach in data-driven decision-making, where a decision-maker first estimates an unknown parameter from historical data and then uses this estimate to solve an optimization problem.…

Optimization and Control · Mathematics 2025-07-29 Michael Albert , Max Biggs , Ningyuan Chen , Guan Wang

We describe an augmented intelligence system for simplifying and enhancing the modeling experience for operations research. Using this system, the user receives a suggested formulation of an optimization problem based on its description. To…

Computation and Language · Computer Science 2022-10-13 Rindranirina Ramamonjison , Haley Li , Timothy T. Yu , Shiqi He , Vishnu Rengan , Amin Banitalebi-Dehkordi , Zirui Zhou , Yong Zhang

Model selection based on classical information criteria, such as BIC, is generally computationally demanding, but its properties are well studied. On the other hand, model selection based on parameter shrinkage by $\ell_1$-type penalties is…

Machine Learning · Statistics 2013-07-10 Kun Zhang , Heng Peng , Laiwan Chan , Aapo Hyvarinen