Search Results - convex functions AND convex (programs OR process) in convex geometry
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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)“…Probabilistic model-checking aims to prove whether a Markov decision process (MDP) satisfies a temporal logic specification…”
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CvxNet: Learnable Convex Decomposition
ISSN: 1063-6919Published: IEEE 01.06.2020Published in Proceedings (IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Online) (01.06.2020)“…Any solid object can be decomposed into a collection of convex polytopes (in short, convexes). When a small number of convexes are used, such a decomposition can be thought of as a piece-wise approximation of the 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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Distributed Learning in Non-Convex Environments-Part I: Agreement at a Linear Rate
ISSN: 1053-587X, 1941-0476Published: New York IEEE 2021Published in IEEE transactions on signal processing (2021)“… algorithms in non-convex environments. Most available works on distributed non-convex optimization problems focus on the deterministic setting where exact gradients are available at each agent…”
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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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The Lin-Ni’s problem for mean convex domains
ISBN: 9780821869093, 0821869094ISSN: 0065-9266, 1947-6221Published: Providence, Rhode Island American Mathematical Society 2011“…We prove some refined asymptotic estimates for positive blow-up solutions to…”
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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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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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Distributed Convex Optimization for Electric Vehicle Aggregators
ISSN: 1949-3053, 1949-3061Published: Piscataway IEEE 01.07.2017Published in IEEE transactions on smart grid (01.07.2017)“… process across several servers/cores. We demonstrate the performance and versatility of our framework by applying it to two relevant aggregator objectives: 1) valley filling; and 2…”
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12
An Improved Convergence Analysis for Decentralized Online Stochastic Non-Convex Optimization
ISSN: 1053-587X, 1941-0476Published: New York IEEE 2021Published in IEEE transactions on signal processing (2021)“… minimizing a sum of smooth non-convex functions. In particular, for general smooth non-convex functions, we establish non-asymptotic characterizations of GT-DSGD and derive the conditions under which it achieves network-independent performances…”
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13
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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14
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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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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Fine Representation of Hessian of Convex Functions and Ricci Tensor on RCD Spaces: Fine Representation of Hessian of Convex Functions and Ricci Tensor
ISSN: 0926-2601, 1572-929XPublished: Dordrecht Springer Netherlands 01.04.2025Published in Potential analysis (01.04.2025)“… Our discussion also covers the case of Hessians of convex functions and, under suitable assumptions on the base space, of the Sectional curvature operator…”
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Stochastic Strongly Convex Optimization via Distributed Epoch Stochastic Gradient Algorithm
ISSN: 2162-237X, 2162-2388, 2162-2388Published: Piscataway IEEE 01.06.2021Published in IEEE transaction on neural networks and learning systems (01.06.2021)“…This article considers the problem of stochastic strongly convex optimization over a network of multiple interacting nodes…”
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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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