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Appropriate time discretization is crucial for real-time applications of numerical optimal control, such as nonlinear model predictive control. However, if the discretization error strongly depends on the applied control input, meeting…

Optimization and Control · Mathematics 2024-09-17 Amon Lahr , Filip Tronarp , Nathanael Bosch , Jonathan Schmidt , Philipp Hennig , Melanie N. Zeilinger

Classification models are very sensitive to data uncertainty, and finding robust classifiers that are less sensitive to data uncertainty has raised great interest in the machine learning literature. This paper aims to construct robust…

Machine Learning · Statistics 2022-03-01 Vali Asimit , Ioannis Kyriakou , Simone Santoni , Salvatore Scognamiglio , Rui Zhu

There are many approaches for training decision trees. This work introduces a novel gradient-based method for constructing decision trees that optimize arbitrary differentiable loss functions, overcoming the limitations of heuristic…

Machine Learning · Computer Science 2025-03-25 Andrei V. Konstantinov , Lev V. Utkin

We consider learning problems of an intuitive and concise preference model, called lexicographic preference lists (LP-lists). Given a set of examples that are pairwise ordinal preferences over a universe of objects built of attributes of…

Artificial Intelligence · Computer Science 2019-09-20 Ahmed Moussa , Xudong Liu

One-class Classification (OCC) is an area of machine learning which addresses prediction based on unbalanced datasets. Basically, OCC algorithms achieve training by means of a single class sample, with potentially some additional…

Machine Learning · Statistics 2020-03-27 Sarah Itani , Fabian Lecron , Philippe Fortemps

Many of the best statistical classification algorithms are binary classifiers that can only distinguish between one of two classes. The number of possible ways of generalizing binary classification to multi-class increases exponentially…

Machine Learning · Statistics 2021-01-26 Peter Mills

We present a simple, efficient model for learning boundary detection based on a random forest classifier. Our approach combines (1) efficient clustering of training examples based on simple partitioning of the space of local edge…

Computer Vision and Pattern Recognition · Computer Science 2015-06-30 Sam Hallman , Charless C. Fowlkes

Chance-constrained optimization has emerged as a promising framework for managing uncertainties in power systems. This work advances its application to the DC Optimal Power Flow (DC-OPF) model, developing a novel approach to uncertainty…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Tianyang Yi , D. Adrian Maldonado , Anirudh Subramanyam

We consider the problem of learning classification trees that are robust to distribution shifts between training and testing/deployment data. This problem arises frequently in high stakes settings such as public health and social work where…

Machine Learning · Computer Science 2025-08-27 Nathan Justin , Sina Aghaei , Andrés Gómez , Phebe Vayanos

We consider the problem of optimal decision referrals in human-automation teams performing binary classification tasks. The automation, which includes a pre-trained classifier, observes data for a batch of independent tasks, analyzes them,…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Kesav Kaza , Jerome Le Ny , Aditya Mahajan

This article describes a new system for induction of oblique decision trees. This system, OC1, combines deterministic hill-climbing with two forms of randomization to find a good oblique split (in the form of a hyperplane) at each node of a…

Artificial Intelligence · Computer Science 2008-02-03 S. K. Murthy , S. Kasif , S. Salzberg

Multi-class classification is mandatory for real world problems and one of promising techniques for multi-class classification is Error Correcting Output Code. We propose a method for constructing the Error Correcting Output Code to obtain…

Machine Learning · Computer Science 2013-12-30 Patoomsiri Songsiri , Thimaporn Phetkaew , Ryutaro Ichise , Boonserm Kijsirikul

An alphabetic binary tree formulation applies to problems in which an outcome needs to be determined via alphabetically ordered search prior to the termination of some window of opportunity. Rather than finding a decision tree minimizing…

Information Theory · Computer Science 2009-03-28 Michael B. Baer

Classifier calibration does not always go hand in hand with the classifier's ability to separate the classes. There are applications where good classifier calibration, i.e. the ability to produce accurate probability estimates, is more…

Machine Learning · Computer Science 2020-05-26 Tuomo Alasalmi , Jaakko Suutala , Heli Koskimäki , Juha Röning

Tree-based models are increasingly popular due to their ability to identify complex relationships that are beyond the scope of parametric models. Survival tree methods adapt these models to allow for the analysis of censored outcomes, which…

Machine Learning · Computer Science 2020-12-09 Dimitris Bertsimas , Jack Dunn , Emma Gibson , Agni Orfanoudaki

The optimal power flow (OPF) problem, which plays a central role in operating electrical networks is considered. The problem is nonconvex and is in fact NP hard. Therefore, designing efficient algorithms of practical relevance is crucial,…

Optimization and Control · Mathematics 2014-08-20 S. Magnússon , P. C. Weeraddana , C. Fischione

Machine learning has an emerging critical role in high-performance computing to modulate simulations, extract knowledge from massive data, and replace numerical models with efficient approximations. Decision forests are a critical tool…

Performance · Computer Science 2018-06-22 James Browne , Tyler M. Tomita , Disa Mhembere , Randal Burns , Joshua T. Vogelstein

Existing ordinal trees and random forests typically use scores that are assigned to the ordered categories, which implies that a higher scale level is used. Versions of ordinal trees are proposed that take the scale level seriously and…

Methodology · Statistics 2021-02-02 Gerhard Tutz

We present an algorithm for classification tasks on big data. Experiments conducted as part of this study indicate that the algorithm can be as accurate as ensemble methods such as random forests or gradient boosted trees. Unlike ensemble…

Machine Learning · Statistics 2017-10-27 Rajiv Sambasivan , Sourish Das

This work presents a new classifier that is specifically designed to be fully interpretable. This technique determines the probability of a class outcome, based directly on probability assignments measured from the training data. The…

Machine Learning · Statistics 2017-10-31 Sapan Agarwal , Corey M. Hudson
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