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We study the mixed-integer optimization (MIO) approach to feature subset selection in nonlinear kernel support vector machines (SVMs) for binary classification. First proposed for linear regression in the 1970s, this approach has recently…

机器学习 · 计算机科学 2022-05-31 Ryuta Tamura , Yuichi Takano , Ryuhei Miyashiro

Decision trees are among the most popular machine learning models and are used routinely in applications ranging from revenue management and medicine to bioinformatics. In this paper, we consider the problem of learning optimal binary…

机器学习 · 计算机科学 2023-07-20 Sina Aghaei , Andrés Gómez , Phebe Vayanos

Decision trees are powerful tools for classification and regression that attract many researchers working in the burgeoning area of machine learning. One advantage of decision trees over other methods is their interpretability, which is…

机器学习 · 计算机科学 2023-07-11 Brandon Alston , Hamidreza Validi , Illya V. Hicks

Machine Learning models are increasingly used for decision making, in particular in high-stakes applications such as credit scoring, medicine or recidivism prediction. However, there are growing concerns about these models with respect to…

机器学习 · 计算机科学 2023-04-12 Julien Rouzot , Julien Ferry , Marie-José Huguet

Recent advancements in Mixed Integer Optimization (MIO) algorithms, paired with hardware enhancements, have led to significant speedups in resolving MIO problems. These strategies have been utilized for optimal subset selection,…

统计方法学 · 统计学 2024-03-27 Madhav Sankaranarayanan , Intekhab Hossain , Tom Chen

We use cutting-edge mixed integer optimization (MIO) methods to develop a framework for detection and estimation of structural breaks in time series regression models. The framework is constructed based on the least squares problem subject…

计量经济学 · 经济学 2025-05-12 Artem Prokhorov , Peter Radchenko , Alexander Semenov , Anton Skrobotov

We propose a method to solve online mixed-integer optimization (MIO) problems at very high speed using machine learning. By exploiting the repetitive nature of online optimization, we are able to greatly speedup the solution time. Our…

最优化与控制 · 数学 2021-03-24 Dimitris Bertsimas , Bartolomeo Stellato

Multivariate decision trees are powerful machine learning tools for classification and regression that attract many researchers and industry professionals. An optimal binary tree has two types of vertices, (i) branching vertices which have…

机器学习 · 计算机科学 2024-08-05 Brandon Alston , Illya V. Hicks

In the last twenty-five years (1990-2014), algorithmic advances in integer optimization combined with hardware improvements have resulted in an astonishing 200 billion factor speedup in solving Mixed Integer Optimization (MIO) problems. We…

统计方法学 · 统计学 2015-07-14 Dimitris Bertsimas , Angela King , Rahul Mazumder

The deployment of Artificial Intelligence in high-risk domains, such as finance and healthcare, necessitates models that are both fair and transparent. While regulatory frameworks, including the EU's AI Act, mandate bias mitigation, they…

机器学习 · 计算机科学 2026-01-28 Jiří Němeček , Mark Kozdoba , Illia Kryvoviaz , Tomáš Pevný , Jakub Mareček

We present BackboneLearn: an open-source software package and framework for scaling mixed-integer optimization (MIO) problems with indicator variables to high-dimensional problems. This optimization paradigm can naturally be used to…

机器学习 · 计算机科学 2023-11-27 Vassilis Digalakis , Christos Ziakas

AUC (Area under the ROC curve) is an important performance measure for applications where the data is highly imbalanced. Learning to maximize AUC performance is thus an important research problem. Using a max-margin based surrogate loss…

人工智能 · 计算机科学 2016-12-28 Vishal Kakkar , Shirish K. Shevade , S Sundararajan , Dinesh Garg

Learning-enabled control systems increasingly rely on multiple sensing modalities (e.g., vision, audio, language, etc.) for perception and decision support. A key challenge is that multi-modal sensor training dynamics are often imbalanced:…

机器学习 · 计算机科学 2026-04-01 Heshan Fernando , Quan Xiao , Parikshit Ram , Yi Zhou , Horst Samulowitz , Nathalie Baracaldo , Tianyi Chen

In the last few decades, Machine Learning (ML) has achieved significant success across domains ranging from healthcare, sustainability, and the social sciences, to criminal justice and finance. But its deployment in increasingly…

机器学习 · 计算机科学 2025-09-03 Nathan Justin , Qingshi Sun , Andrés Gómez , Phebe Vayanos

Global optimization of decision trees is a long-standing challenge in combinatorial optimization, yet such models play an important role in interpretable machine learning. Although the problem has been investigated for several decades, only…

机器学习 · 计算机科学 2026-02-03 Jiancheng Tu , Wenqi Fan , Zhibin Wu

The area under the ROC curve (AUC) is a measure of interest in various machine learning and data mining applications. It has been widely used to evaluate classification performance on heavily imbalanced data. The kernelized AUC maximization…

机器学习 · 计算机科学 2019-04-30 Majdi Khalid , Indrakshi Ray , Hamidreza Chitsaz

The increasing use of machine learning in high-stakes domains -- where people's livelihoods are impacted -- creates an urgent need for interpretable, fair, and highly accurate algorithms. With these needs in mind, we propose a mixed integer…

机器学习 · 计算机科学 2023-07-26 Nathanael Jo , Sina Aghaei , Andrés Gómez , Phebe Vayanos

The use of machine learning models in consequential decision making often exacerbates societal inequity, in particular yielding disparate impact on members of marginalized groups defined by race and gender. The area under the ROC curve…

机器学习 · 计算机科学 2022-11-30 Zhenhuan Yang , Yan Lok Ko , Kush R. Varshney , Yiming Ying

Area under the receiver operating characteristics curve (AUC) is an important metric for a wide range of signal processing and machine learning problems, and scalable methods for optimizing AUC have recently been proposed. However, handling…

机器学习 · 计算机科学 2018-06-01 San Gultekin , Avishek Saha , Adwait Ratnaparkhi , John Paisley

In this work, we present a novel, machine-learning approach for constructing Multiclass Interpretable Scoring Systems (MISS) - a fully data-driven methodology for generating single, sparse, and user-friendly scoring systems for multiclass…

机器学习 · 计算机科学 2024-01-11 Michal K. Grzeszczyk , Tomasz Trzciński , Arkadiusz Sitek
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