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An important problem in the breeding of livestock, crops, and forest trees is the optimum of selection of genotypes that maximizes genetic gain. The key constraint in the optimal selection is a convex quadratic constraint that ensures…

Optimization and Control · Mathematics 2017-03-10 Sena Safarina , Satoko Moriguchi , Tim J. Mullin , Makoto Yamashita

We propose a new optimization-based approach for feature selection in tree ensembles, an important problem in statistics and machine learning. Popular tree ensemble toolkits e.g., Gradient Boosted Trees and Random Forests support feature…

Machine Learning · Computer Science 2025-04-08 Shibal Ibrahim , Kayhan Behdin , Rahul Mazumder

We tackle a stochastic version of the Critical Node Problem (CNP) where the goal is to minimize the pairwise connectivity of a graph by attacking a subset of its nodes. In the stochastic setting considered, the attacks on nodes can fail…

Data Structures and Algorithms · Computer Science 2019-05-30 Pierre Hosteins , Rosario Scatamacchia

In binary classification applications, conservative decision-making that allows for abstention can be advantageous. To this end, we introduce a novel approach that determines the optimal cutoff interval for risk scores, which can be…

Machine Learning · Statistics 2025-10-01 Yishu Wei , Wen-Yee Lee , George Ekow Quaye , Xiaogang Su

Sequential Convex Programming (SCP) has recently gained significant popularity as an effective method for solving optimal control problems and has been successfully applied in several different domains. However, the theoretical analysis of…

Optimization and Control · Mathematics 2022-09-07 Riccardo Bonalli , Thomas Lew , Marco Pavone

The recently introduced graph parameter tree-cut width plays a similar role with respect to immersions as the graph parameter treewidth plays with respect to minors. In this paper, we provide the first algorithmic applications of tree-cut…

Data Structures and Algorithms · Computer Science 2022-06-03 Robert Ganian , Eun Jung Kim , Stefan Szeider

It has always been a big challenge to identify subtle changes in Electroencephalogram (EEG) signals. Minor differences often lead to vital decisions, for example, which grade a certain tumour belong to or whether a haemorrhage can result in…

Systems and Control · Electrical Eng. & Systems 2022-06-01 Debojyoti Seth

Extremum seeking control (ESC) is a classical adaptive control method for steady-state optimization, purely based on output feedback. It is well known that the extremum seeking control loop, under certain mild conditions on the controller,…

Optimization and Control · Mathematics 2018-02-26 Olle Trollberg , Elling W. Jacobsen

The Elementary Shortest-Path Problem(ESPP) seeks a minimum cost path from s to t that visits each vertex at most once. The presence of negative-cost cycles renders the problem NP-hard. We present a probabilistic method for finding…

Machine Learning · Computer Science 2025-08-05 Jingyi Chen , Xinyuan Zhang , Xinwu Qian

This paper deals with the Stochastic Capacitated Arc Routing Problem (SCARP), obtained by randomizing quantities on the arcs in the CARP. Optimization problems for the SCARP are characterized by decisions that are made without knowing their…

Neural and Evolutionary Computing · Computer Science 2022-11-24 Fleury Gérard , Lacomme Philippe , Christian Prins

Machine learning (ML) approaches are increasingly being used to accelerate combinatorial optimization (CO) problems. We investigate the Set Cover Problem (SCP) and propose Graph-SCP, a graph neural network method that augments existing…

Machine Learning · Computer Science 2025-10-10 Zohair Shafi , Benjamin A. Miller , Tina Eliassi-Rad , Rajmonda S. Caceres

Synthetic control (SC) methods have gained rapid popularity in economics recently, where they have been applied in the context of inferring the effects of treatments on standard continuous outcomes assuming linear input-output relations. In…

Methodology · Statistics 2024-02-19 Alicia Curth , Hoifung Poon , Aditya V. Nori , Javier González

We study contextual stochastic optimization problems, where we leverage rich auxiliary observations (e.g., product characteristics) to improve decision making with uncertain variables (e.g., demand). We show how to train forest decision…

Optimization and Control · Mathematics 2022-03-17 Nathan Kallus , Xiaojie Mao

Tree projections provide a unifying framework to deal with most structural decomposition methods of constraint satisfaction problems (CSPs). Within this framework, a CSP instance is decomposed into a number of sub-problems, called views,…

Artificial Intelligence · Computer Science 2017-11-15 Georg Gottlob , Gianlugi Greco , Francesco Scarcello

The inability to guarantee robustness is one of the major obstacles to the application of deep learning models in security-demanding domains. We identify that the most commonly used cross-entropy (CE) loss does not guarantee robust boundary…

Machine Learning · Computer Science 2023-02-21 Weiwei Gao , Dazhi Zhang , Yao Li , Zhichang Guo , Ovanes Petrosian

In the Sequential Selection Problem (SSP), immediate and irrevocable decisions need to be made as candidates randomly arrive for a job interview. Standard SSP variants, such as the well-known secretary problem, begin with an empty selection…

Discrete Mathematics · Computer Science 2019-11-11 Mathilde Fekom , Nicolas Vayatis , Argyris Kalogeratos

Let $G = (V,E,w)$ be a weighted, digraph subject to a sequence of adversarial edge deletions. In the decremental single-source reachability problem (SSR), we are given a fixed source $s$ and the goal is to maintain a data structure that can…

Data Structures and Algorithms · Computer Science 2021-01-19 Aaron Bernstein , Maximilian Probst Gutenberg , Thatchaphol Saranurak

The Shortest-Path Problem in Graph of Convex Sets (SPP in GCS) is a recently developed optimization framework that blends discrete and continuous decision making. Many relevant problems in robotics, such as collision-free motion planning,…

The Set Cover Problem (SCP) and the Hitting Set Problem (HSP) are well-studied optimization problems. In this paper we introduce the Reward-Penalty-Selection Problem (RPSP) which can be understood as a combination of the SCP and the HSP…

Computational Complexity · Computer Science 2021-06-29 T. Heller , S. O. Krumke , K. -H. Küfer

Conventional edge-based active contours often require the normal component of an edge indicator function on the optimal contours to approximate zero, while the tangential component can still be significant. In real images, the full…

Computer Vision and Pattern Recognition · Computer Science 2012-05-01 Junyan Wang , Kap Luk Chan