Search Results - Convex functions AND convex programs in convex geometry
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Dual Prediction-Correction Methods for Linearly Constrained Time-Varying Convex Programs
ISSN: 0018-9286, 1558-2523Published: New York IEEE 01.08.2019Published in IEEE transactions on automatic control (01.08.2019)“…Devising efficient algorithms to solve continuously-varying strongly convex optimization programs is key in many applications, from control systems to signal processing and machine learning…”
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Implementable tensor methods in unconstrained convex optimization
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2021Published in Mathematical programming (01.03.2021)“…In this paper we develop new tensor methods for unconstrained convex optimization, which solve at each iteration an auxiliary problem of minimizing convex multivariate polynomial…”
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Convex projection and convex multi-objective optimization
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.06.2022Published in Journal of global optimization (01.06.2022)“…In this paper we consider a problem, called convex projection, of projecting a convex set onto a subspace…”
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Chance-constrained programs with convex underlying functions: a bilevel convex optimization perspective
ISSN: 0926-6003, 1573-2894Published: New York Springer US 01.07.2024Published in Computational optimization and applications (01.07.2024)“… In this paper, we consider chance constrained programs where the objective function and the constraints are convex with respect to the decision parameter…”
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Convex Optimization for Parameter Synthesis in MDPs
ISSN: 0018-9286, 1558-2523Published: New York IEEE 01.12.2022Published in IEEE transactions on automatic control (01.12.2022)“… Consequently, parametric MDPs (pMDPs) extend MDPs with transition probabilities that are functions over unspecified parameters…”
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From differential equation solvers to accelerated first-order methods for convex optimization
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2022Published in Mathematical programming (01.09.2022)“…Convergence analysis of accelerated first-order methods for convex optimization problems are developed from the point of view of ordinary differential equation solvers…”
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Constrained Online Convex Optimization With Feedback Delays
ISSN: 0018-9286, 1558-2523Published: New York IEEE 01.11.2021Published in IEEE transactions on automatic control (01.11.2021)“…In this article, we study constrained online convex optimization (OCO) in the presence of feedback delays, where a decision maker chooses sequential actions without knowing the loss functions and constraint functions a priori…”
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A Convex Optimization Framework for Active Learning
ISSN: 1550-5499Published: IEEE 01.12.2013Published in 2013 IEEE International Conference on Computer Vision (01.12.2013)“…In many image/video/web classification problems, we have access to a large number of unlabeled samples. However, it is typically expensive and time consuming…”
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Globally minimizing the sum of a convex–concave fraction and a convex function based on wave-curve bounds
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.06.2020Published in Journal of global optimization (01.06.2020)“…We consider the problem of minimizing the sum of a convex–concave function and a convex function over a convex set (SFC…”
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Convex Primal Formulations for Convex Hull Pricing With Reserve Commitments
ISSN: 0885-8950, 1558-0679Published: New York IEEE 01.05.2021Published in IEEE transactions on power systems (01.05.2021)“…Convex hull pricing has been introduced recently to increase transparency and reduce uplift payments for the U.S. wholesale markets…”
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Convex Optimization of Integrated Power-Gas Energy Flow Model With Applications to Probabilistic Energy Flow
ISSN: 0885-8950, 1558-0679Published: New York IEEE 01.03.2021Published in IEEE transactions on power systems (01.03.2021)“… Also, piecewise linearization is adopted to tightly linearize the nonlinear objective function of the model, which transforms the formulated convex optimization into a linear program one…”
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Distributed Algorithms for Robust Convex Optimization via the Scenario Approach
ISSN: 0018-9286, 1558-2523Published: New York IEEE 01.03.2019Published in IEEE transactions on automatic control (01.03.2019)“…This paper proposes distributed algorithms to solve robust convex optimization (RCO) when the constraints are affected by nonlinear uncertainty…”
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A regularized smoothing method for fully parameterized convex problems with applications to convex and nonconvex two-stage stochastic programming
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021Published in Mathematical programming (01.09.2021)“… The value function in question, while resulting from parameterized convex problems, need not be convex…”
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Conditional gradient algorithms for norm-regularized smooth convex optimization
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2015Published in Mathematical programming (01.08.2015)“… ‖ · ‖ and a smooth convex function f , we want either (1) to minimize the norm over the intersection of the cone and a level set of f , or (2…”
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Semidefinite representation of convex sets
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer-Verlag 01.03.2010Published in Mathematical programming (01.03.2010)“…Let be a semialgebraic set defined by multivariate polynomials g i ( x ). Assume S is convex, compact and has nonempty interior. Let , and ∂ S (resp…”
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Set characterizations and convex extensions for geometric convex-hull proofs
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2022Published in Mathematical programming (01.09.2022)“…In the present work, we consider Zuckerberg’s method for geometric convex-hull proofs introduced in Zuckerberg (Oper Res Lett 44(5):625–629, 2016…”
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A Convex Approach to Data-Driven Optimal Control via Perron-Frobenius and Koopman Operators
ISSN: 0018-9286, 1558-2523Published: New York IEEE 01.09.2022Published in IEEE transactions on automatic control (01.09.2022)“… The convex formulation relies on the duality result in the dynamical system's stability theory involving density function and Perron-Frobenius operator…”
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VOFTools 5: An extension to non-convex geometries of calculation tools for volume of fluid methods
ISSN: 0010-4655, 1879-2944Published: Elsevier B.V 01.07.2020Published in Computer physics communications (01.07.2020)“… We present a major improvement of VOFTools to extend its use to non-convex geometries without the need for costly convex-decomposition techniques…”
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Distributed Coordination for Nonsmooth Convex Optimization via Saddle-Point Dynamics
ISSN: 0938-8974, 1432-1467Published: New York Springer US 15.08.2019Published in Journal of nonlinear science (15.08.2019)“… Our algorithm design builds on the characterization of the solutions of the nonsmooth convex program as saddle points of an augmented Lagrangian…”
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On solving difference of convex functions programs with linear complementarity constraints
ISSN: 0926-6003, 1573-2894Published: New York Springer US 01.09.2023Published in Computational optimization and applications (01.09.2023)“… (Difference of Convex functions) on a set defined by linear constraints and linear complementarity constraints, named Difference of Convex functions programs with Linear Complementarity Constraints…”
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