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In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the $F_\beta$ score, area under the precision-recall curve, Precision…

Machine Learning · Computer Science 2018-03-02 Alan Mackey , Xiyang Luo , Elad Eban

In this work, we propose an observation system based on the available data which solution is one-be-one mapping to the forward problem(with the unknown initial function) solution. It implies their solutions share the same linear structure…

Numerical Analysis · Mathematics 2026-04-27 Dakang Cen , Zhiyuan Li , Wenlong Zhang

In structured prediction problems where we have indirect supervision of the output, maximum marginal likelihood faces two computational obstacles: non-convexity of the objective and intractability of even a single gradient computation. In…

Machine Learning · Statistics 2016-08-11 Aditi Raghunathan , Roy Frostig , John Duchi , Percy Liang

We propose a flexible gradient-based framework for learning linear programs from optimal decisions. Linear programs are often specified by hand, using prior knowledge of relevant costs and constraints. In some applications, linear programs…

Machine Learning · Computer Science 2020-06-17 Yingcong Tan , Daria Terekhov , Andrew Delong

Machine learning models can assign fixed predictions that preclude individuals from changing their outcome. Existing approaches to audit fixed predictions do so on a pointwise basis, which requires access to an existing dataset of…

Machine Learning · Computer Science 2025-07-10 Connor Lawless , Tsui-Wei Weng , Berk Ustun , Madeleine Udell

Inverse optimal control problem emerges in different practical applications, where the goal is to design a cost function in order to approximate given optimal strategies of an expert. Typical application is in robotics for generation of…

Optimization and Control · Mathematics 2024-06-21 Frédéric Jean , Sofya Maslovskaya

Inverse optimization (Inverse optimal control) is the task of imputing a cost function such that given test points (trajectories) are (nearly) optimal with respect to the discovered cost. Prior methods in inverse optimization assume that…

Optimization and Control · Mathematics 2025-10-21 Filip Bečanović , Jared Miller , Vincent Bonnet , Kosta Jovanović , Samer Mohammed

This paper studies the problem of steering a linear time-invariant system subject to state and input constraints towards a goal location that may be inferred only through partial observations. We assume mixed-observable settings, where the…

Optimization and Control · Mathematics 2022-11-22 Ugo Rosolia , Yuxiao Chen , Shreyansh Daftry , Masahiro Ono , Yisong Yue , Aaron D. Ames

For optimization models to be used in practice, it is crucial that users trust the results. A key factor in this aspect is the interpretability of the solution process. A previous framework for inherently interpretable optimization models…

Optimization and Control · Mathematics 2026-02-13 Marc Goerigk , Michael Hartisch , Sebastian Merten , Kartikey Sharma

In this paper we consider a class of optimization problems with a strongly convex objective function and the feasible set given by an intersection of a simple convex set with a set given by a number of linear equality and inequality…

Optimization and Control · Mathematics 2016-05-11 Alexey Chernov , Pavel Dvurechensky , Alexander Gasnikov

Inverse protein folding -- the task of predicting a protein sequence from its backbone atom coordinates -- has surfaced as an important problem in the "top down", de novo design of proteins. Contemporary approaches have cast this problem as…

This paper introduces a methodology designed to augment the inverse design optimization process in scenarios constrained by limited compute, through the strategic synergy of multi-fidelity evaluations, machine learning models, and…

Computational Engineering, Finance, and Science · Computer Science 2024-06-04 Luka Grbcic , Juliane Müller , Wibe Albert de Jong

Inverse Optimal Control (IOC) aims to infer the underlying cost functional of an agent from observations of its expert behavior. This paper focuses on the IOC problem within the continuous-time linear quadratic regulator framework,…

Optimization and Control · Mathematics 2025-07-29 Meiling Yu , Lechen Feng , Lei Jiang , Yuan-Hua Ni

In this paper we discuss a well known computing problem -- inference for models with intractable normalizing functions. Models with intractable normalizing functions arise in a wide variety of areas, for instance network models, models for…

Methodology · Statistics 2026-03-19 Murali Haran , Bokgyeong Kang , Jaewoo Park

There is a recent proliferation of research on the integration of machine learning and optimization. One expansive area within this research stream is predictive-model embedded optimization, which proposes the use of pre-trained predictive…

Machine Learning · Computer Science 2022-10-20 Chenbo Shi , Mohsen Emadikhiav , Leonardo Lozano , David Bergman

We investigate the feasibility problem for generalized inverse linear programs. Given an LP with affinely parametrized objective function and right-hand side as well as a target set Y, the goal is to decide whether the parameters can be…

Optimization and Control · Mathematics 2026-02-17 Christoph Buchheim , Lowig T. Duer

The dynamic matrix inverse problem is to maintain the inverse of a matrix undergoing element and column updates. It is the main subroutine behind the best algorithms for many dynamic problems whose complexity is not yet well-understood,…

Data Structures and Algorithms · Computer Science 2019-05-14 Jan van den Brand , Danupon Nanongkai , Thatchaphol Saranurak

Inverse optimization describes a process that is the "reverse" of traditional mathematical optimization. Unlike traditional optimization, which seeks to compute optimal decisions given an objective and constraints, inverse optimization…

Optimization and Control · Mathematics 2022-07-28 Timothy C. Y. Chan , Rafid Mahmood , Ian Yihang Zhu

We suggest an adaptive version of a partial linearization method for composite optimization problems. The goal function is the sum of a smooth function and a non necessary smooth convex separable function, whereas the feasible set is the…

Optimization and Control · Mathematics 2016-05-26 I. V. Konnov

The deepening of the penetration of renewable energy is challenging how power system operators cope with their associated variability and uncertainty. The inherent flexibility of dispathchable assets present in power systems, which is often…

Optimization and Control · Mathematics 2024-08-19 Mohamed Awadalla , François Bouffard