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Conformal methods provide prediction sets for outcomes with confidence guarantees. We study their use in a selective inference setting, where inference is performed only when the prediction set is informative. The analyst may consider as…

Methodology · Statistics 2026-05-22 Israela Solomon , Etienne Roquain , Saharon Rosset , Ruth Heller

Leveraging machine learning (ML) to predict an initial solution for mixed-integer linear programming (MILP) has gained considerable popularity in recent years. These methods predict a solution and fix a subset of variables to reduce the…

Machine Learning · Computer Science 2025-03-04 Haoyang Liu , Jie Wang , Zijie Geng , Xijun Li , Yuxuan Zong , Fangzhou Zhu , Jianye Hao , Feng Wu

Conformal prediction is a framework for uncertainty quantification that constructs prediction sets for previously unseen data, guaranteeing coverage of the true label with a specified probability. However, the efficiency of these prediction…

Machine Learning · Computer Science 2026-01-06 Erfan Hajihashemi , Yanning Shen

Query workloads and database schemas in OLAP applications are becoming increasingly complex. Moreover, the queries and the schemas have to continually \textit{evolve} to address business requirements. During such repetitive transitions, the…

Databases · Computer Science 2015-03-19 Hideaki Kimura , Carleton Coffrin , Alexander Rasin , Stanley B. Zdonik

In large-scale prediction problems, exhaustively following up on all test units is often impractical and inefficient, motivating a selective reporting strategy that fulfills the dual requirements of informativeness and trustworthiness.…

Statistics Theory · Mathematics 2026-05-27 Wangcheng Li , Guanlan Zhao , Xu Guo , Wenguang Sun

We propose a novel method for selective classification (SC), a problem which allows a classifier to abstain from predicting some instances, thus trading off accuracy against coverage (the fraction of instances predicted). In contrast to…

Machine Learning · Computer Science 2021-10-26 Aditya Gangrade , Anil Kag , Venkatesh Saligrama

This paper proposes real-time sequential convex programming (RTSCP), a method for solving a sequence of nonlinear optimization problems depending on an online parameter. We provide a contraction estimate for the proposed method and, as a…

Optimization and Control · Mathematics 2015-03-19 Tran Dinh Quoc , Carlo Savorgnan , Moritz Diehl

Piecewise regression is a versatile approach used in various disciplines to approximate complex functions from limited, potentially noisy data points. In control, piecewise regression is, e.g., used to approximate the optimal control law of…

Optimization and Control · Mathematics 2024-07-10 Dieter Teichrib , Moritz Schulze Darup

We present an integrated prediction-optimization (PredOpt) framework to efficiently solve sequential decision-making problems by predicting the values of binary decision variables in an optimal solution. We address the key issues of…

Machine Learning · Computer Science 2023-11-14 Dogacan Yilmaz , İ. Esra Büyüktahtakın

A numerical method is developed to solve linear semi-infinite programming problem (LSIP) in which the iterates produced by the algorithm are feasible for the original problem. This is achieved by constructing a sequence of standard linear…

Optimization and Control · Mathematics 2021-01-26 Shuxiong Wang

Conformal prediction is a powerful tool to generate uncertainty sets with guaranteed coverage using any predictive model, under the assumption that the training and test data are i.i.d.. Recently, it has been shown that adversarial examples…

Machine Learning · Computer Science 2024-05-01 Ge Yan , Yaniv Romano , Tsui-Wei Weng

It is common in machine learning to estimate a response $y$ given covariate information $x$. However, these predictions alone do not quantify any uncertainty associated with said predictions. One way to overcome this deficiency is with…

Machine Learning · Statistics 2024-06-25 Chancellor Johnstone , Eugene Ndiaye

The main feature of large-scale multi-objective optimization problems (LSMOP) is to optimize multiple conflicting objectives while considering thousands of decision variables at the same time. An efficient LSMOP algorithm should have the…

Neural and Evolutionary Computing · Computer Science 2021-08-10 Haokai Hong , Kai Ye , Min Jiang , Donglin Cao , Kay Chen Tan

The deployment of safe and trustworthy machine learning systems, and particularly complex black box neural networks, in real-world applications requires reliable and certified guarantees on their performance. The conformal prediction…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Paul Melki , Lionel Bombrun , Boubacar Diallo , Jérôme Dias , Jean-Pierre da Costa

A number of problems in relational Artificial Intelligence can be viewed as Stochastic Constraint Optimization Problems (SCOPs). These are constraint optimization problems that involve objectives or constraints with a stochastic component.…

Artificial Intelligence · Computer Science 2018-07-04 Anna L. D. Latour , Behrouz Babaki , Siegfried Nijssen

Modern deep learning based classifiers show very high accuracy on test data but this does not provide sufficient guarantees for safe deployment, especially in high-stake AI applications such as medical diagnosis. Usually, predictions are…

Machine Learning · Computer Science 2022-05-09 David Stutz , Krishnamurthy , Dvijotham , Ali Taylan Cemgil , Arnaud Doucet

Reliable confidence measures of metrics derived from medical imaging reconstruction pipelines would improve the standard of decision-making in many clinical workflows. Conformal Prediction (CP) provides a robust framework for producing…

Accurate uncertainty measurement is a key step to building robust and reliable machine learning systems. Conformal prediction is a distribution-free uncertainty quantification algorithm popular for its ease of implementation, statistical…

Machine Learning · Computer Science 2024-03-20 Sophia Sun , Rose Yu

Orthogonal Matching Pursuit (OMP) plays an important role in data science and its applications such as sparse subspace clustering and image processing. However, the existing OMP-based approaches lack of data adaptiveness so that the data…

Machine Learning · Computer Science 2019-09-02 Jiaqiyu Zhan , Zhiqiang Bai , Yuesheng Zhu

Most current sampling algorithms for high-dimensional distributions are based on MCMC techniques and are approximate in the sense that they are valid only asymptotically. Rejection sampling, on the other hand, produces valid samples, but is…

Artificial Intelligence · Computer Science 2012-07-04 Marc Dymetman , Guillaume Bouchard , Simon Carter
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