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We study the connection between multicalibration and boosting for squared error regression. First we prove a useful characterization of multicalibration in terms of a ``swap regret'' like condition on squared error. Using this…

Machine Learning · Computer Science 2023-02-01 Ira Globus-Harris , Declan Harrison , Michael Kearns , Aaron Roth , Jessica Sorrell

Recent work has shown potential in using Mixed Integer Programming (MIP) solvers to optimize certain aspects of neural networks (NNs). However the intriguing approach of training NNs with MIP solvers is under-explored.…

Machine Learning · Computer Science 2023-04-03 Tómas Thorbjarnarson , Neil Yorke-Smith

We prove that boosting with the squared error loss, $L_2$Boosting, is consistent for very high-dimensional linear models, where the number of predictor variables is allowed to grow essentially as fast as $O$(exp(sample size)), assuming that…

Statistics Theory · Mathematics 2016-08-16 Peter Bühlmann

A scoring system is a linear classifier composed of a small number of explanatory variables, each assigned a small integer coefficient. This system is highly interpretable and allows predictions to be made with simple manual calculations…

Machine Learning · Computer Science 2026-01-14 Moe Shiina , Shunnosuke Ikeda , Yuichi Takano

Feature selection and regularization are becoming increasingly prominent tools in the efforts of the reinforcement learning (RL) community to expand the reach and applicability of RL. One approach to the problem of feature selection is to…

Machine Learning · Computer Science 2012-07-03 Christopher Painter-Wakefield , Ronald Parr

While post-training has successfully improved large language models (LLMs) across a variety of domains, these gains heavily rely on human-labeled data or external verifiers. Existing data has already been exploited, and new data is…

Machine Learning · Computer Science 2026-05-29 Hyunji Nam , Haoran Li , Natasha Jaques

By exploiting the correlation between the structure and the solution of Mixed-Integer Linear Programming (MILP), Machine Learning (ML) has become a promising method for solving large-scale MILP problems. Existing ML-based MILP solvers…

Machine Learning · Computer Science 2025-01-03 Yixuan Li , Can Chen , Jiajun Li , Jiahui Duan , Xiongwei Han , Tao Zhong , Vincent Chau , Weiwei Wu , Wanyuan Wang

In this paper, we surveyed the existing literature studying different approaches and algorithms for the four critical components in the general branch and bound (B&B) algorithm, namely, branching variable selection, node selection, node…

Machine Learning · Computer Science 2021-11-12 Lingying Huang , Xiaomeng Chen , Wei Huo , Jiazheng Wang , Fan Zhang , Bo Bai , Ling Shi

Feature selection and feature transformation, the two main ways to reduce dimensionality, are often presented separately. In this paper, a feature selection method is proposed by combining the popular transformation based dimensionality…

Machine Learning · Computer Science 2015-04-22 Hong Tao , Chenping Hou , Feiping Nie , Yuanyuan Jiao , Dongyun Yi

Despite substantial progress in the field of deep learning, overfitting persists as a critical challenge, and data augmentation has emerged as a particularly promising approach due to its capacity to enhance model generalization in various…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Wen Liang , Youzhi Liang , Jianguo Jia

We present a new mixed integer formulation for the discrete informative path planning problem in random fields. The objective is to compute a budget constrained path while collecting measurements whose linear estimate results in minimum…

Systems and Control · Electrical Eng. & Systems 2022-04-21 Shamak Dutta , Nils Wilde , Stephen L. Smith

Mixed-integer optimization is at the core of many online decision-making systems that demand frequent updates of decisions in real time. However, due to their combinatorial nature, mixed-integer linear programs (MILPs) can be difficult to…

Optimization and Control · Mathematics 2026-04-21 Shivi Dixit , Rishabh Gupta , Qi Zhang

Bias in predictive machine learning (ML) models is a fundamental challenge due to the skewed or unfair outcomes produced by biased models. Existing mitigation strategies rely on either post-hoc corrections or rigid constraints. However,…

Machine Learning · Computer Science 2025-07-01 Yash Vardhan Tomar

We present a statistical perspective on boosting. Special emphasis is given to estimating potentially complex parametric or nonparametric models, including generalized linear and additive models as well as regression models for survival…

Methodology · Statistics 2008-12-18 Peter Bühlmann , Torsten Hothorn

The submodular function maximization is an attractive optimization model that appears in many real applications. Although a variety of greedy algorithms quickly find good feasible solutions for many instances while guaranteeing…

Data Structures and Algorithms · Computer Science 2018-11-13 Naoya Uematsu , Shunji Umetani , Yoshinobu Kawahara

This applied research article explores the application of Mixed-Integer Linear Programming (MILP) to address line-balancing challenges in the garment industry, focusing on optimizing production processes under multiple constraints. By…

Optimization and Control · Mathematics 2025-04-10 Ray Wai Man Kong , Ding Ning , Theodore Ho Tin Kong

Data augmentation is a key technique for improving the robustness of image classification models. However, many recent approaches rely on diffusion-based synthesis or complex feature mixing strategies, which introduce substantial…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Yuto Matsuo , Yoshihiro Fukuhara , Yuki M. Asano , Rintaro Yanagi , Hirokatsu Kataoka , Akio Nakamura

In this work, an integer linear programming (ILP) based model is proposed for the computation of a minimal cost addition sequence for a given set of integers. Since exponents are additive under multiplication, the minimal length addition…

Discrete Mathematics · Computer Science 2023-06-28 Muhammad Abbas , Oscar Gustafsson

We transform join ordering into a mixed integer linear program (MILP). This allows to address query optimization by mature MILP solver implementations that have evolved over decades and steadily improved their performance. They offer…

Databases · Computer Science 2015-11-09 Immanuel Trummer , Christoph Koch

Mixed-integer programming (MIP) is a well-established framework for computer-aided molecular design (CAMD). By precisely encoding the molecular space and score functions, e.g., a graph neural network, the molecular design problem is…

Computational Engineering, Finance, and Science · Computer Science 2024-11-26 Shiqiang Zhang , Christian W. Feldmann , Frederik Sandfort , Miriam Mathea , Juan S. Campos , Ruth Misener
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