Results 21 to 30 of about 8,709 (260)
A Convex Relaxation for Weakly Supervised Classifiers [PDF]
This paper introduces a general multi-class approach to weakly supervised classification. Inferring the labels and learning the parameters of the model is usually done jointly through a block-coordinate descent algorithm such as expectation-maximization (EM), which may lead to local minima.
Joulin, Armand, Bach, Francis
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Convex Relaxations for Gas Expansion Planning [PDF]
Expansion of natural gas networks is a critical process involving substantial capital expenditures with complex decision-support requirements. Given the nonconvex nature of gas transmission constraints, global optimality and infeasibility guarantees can only be offered by global optimisation approaches.
Conrado Borraz-Sánchez +4 more
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Ameso optimization: A relaxation of discrete midpoint convexity [PDF]
In this paper we introduce the Ameso optimization problem, a special class of discrete optimization problems. We establish its basic properties and investigate the relation between Ameso optimization and the convex optimization. Further, we design an algorithm to solve a multi-dimensional Ameso problem by solving a sequence of one-dimensional Ameso ...
Wen Chen +2 more
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Entropy Minimization for Convex Relaxation Approaches [PDF]
Despite their enormous success in solving hard combinatorial problems, convex relaxation approaches often suffer from the fact that the computed solutions are far from binary and that subsequent heuristic binarization may substantially degrade the quality of computed solutions.
Mohamed Souiai +5 more
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Convex Relaxations for Isometric and Equiareal NRSfM
Extensible objects form a challenging case for NRSfM, owing to the lack of a sufficiently constrained extensible model of the point-cloud. We tackle the challenge by proposing 1) convex relaxations of the isometric model up to quasi-isometry, and 2) convex relaxations involving the equiareal deformation model, which preserves local area and has not ...
Agniva Sengupta, Adrien Bartoli
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Price‐based unit commitment with decision‐dependent uncertainty in hourly demand
The price‐based unit commitment (PBUC) problem aims to optimise the power generating units' schedules to meet the system demand with the objective to maximise the generation companies' (GENCOs') profit.
Jinshun Su +2 more
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Adaptive Data-Driven Control for Linear Time Varying Systems
In this paper, we propose an adaptive data-driven control approach for linear time varying systems, affected by bounded measurement noise. The plant to be controlled is assumed to be unknown, and no information in regard to its time varying behaviour is ...
Talal Abdalla
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Direct convex relaxations of sparse SVM [PDF]
Although support vector machines (SVMs) for binary classification give rise to a decision rule that only relies on a subset of the training data points (support vectors), it will in general be based on all available features in the input space. We propose two direct, novel convex relaxations of a non-convex sparse SVM formulation that explicitly ...
Antoni B. Chan +2 more
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Atomic Scheduling of Appliance Energy Consumption in Residential Smart Grids
Most of the current formulations of the optimal scheduling of appliance energy consumption use the vectors of appliances’ scheduled energy consumption over equally divided time slots of a day as optimization variables, which does not take into ...
Kyeong Soo Kim +3 more
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An accelerated primal‐dual method for semi‐definite programming relaxation of optimal power flow
The application of a semi‐definite programming (SDP) approach to the Alternating Current Optimal Power Flow problem has attracted significant attention in recent years.
Zhan Shi +6 more
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