Search Results - Calculus of Variations and Optimal Control; Optimization

Isoperimetric inequalities in unbounded convex bodies by Leonardi, Gian Paolo, Ritoré, Manuel, Vernadakis, Efstratios

“…We consider the problem of minimizing the relative perimeter under a volume constraint in an unbounded convex body…”
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Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations by Berestycki, Henri, Nadin, Grégoire

“…In this monograph, we review the theory and establish new and general results regarding spreading properties for heterogeneous reaction-diffusion equations:…”
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Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces by Ambrosio, Luigi, Mondino, Andrea, Savaré, Giuseppe

“…The aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces…”
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Sand Cat swarm optimization: a nature-inspired algorithm to solve global optimization problems by Seyyedabbasi, Amir, Kiani, Farzad

“…This study proposes a new metaheuristic algorithm called sand cat swarm optimization (SCSO…”
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Lower bounds for non-convex stochastic optimization by Arjevani, Yossi, Carmon, Yair, Duchi, John C., Foster, Dylan J., Srebro, Nathan, Woodworth, Blake

“…) any algorithm requires at least ϵ - 4 queries to find an ϵ -stationary point. The lower bound is tight, and establishes that stochastic gradient descent is minimax optimal in this model…”
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Data-driven distributionally robust optimization using the Wasserstein metric: performance guarantees and tractable reformulations by Mohajerin Esfahani, Peyman, Kuhn, Daniel

“… The state-of-the-art methods for solving the resulting distributionally robust optimization problems rely on global optimization techniques, which quickly become computationally excruciating…”
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Data-driven robust optimization by Bertsimas, Dimitris, Gupta, Vishal, Kallus, Nathan

“… Motivated by this growing availability, we propose a novel schema for utilizing data to design uncertainty sets for robust optimization using statistical hypothesis tests…”
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Wild horse optimizer: a new meta-heuristic algorithm for solving engineering optimization problems by Naruei, Iraj, Keynia, Farshid

“…Nowadays, the design of optimization algorithms is very popular to solve problems in various scientific fields…”
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Developed comparative analysis of metaheuristic optimization algorithms for optimal active control of structures by Katebi, Javad, Shoaei-parchin, Mona, Shariati, Mahdi, Trung, Nguyen Thoi, Khorami, Majid

“…A developed comparative analysis of metaheuristic optimization algorithms has been used for optimal active control of structures…”
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Linear convergence of first order methods for non-strongly convex optimization by Necoara, I., Nesterov, Yu, Glineur, F.

“…The standard assumption for proving linear convergence of first order methods for smooth convex optimization is the strong convexity of the objective function, an assumption which does not hold…”
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An improved particle swarm optimization with backtracking search optimization algorithm for solving continuous optimization problems by Zaman, Hamid Reza Rafat, Gharehchopogh, Farhad Soleimanian

“… The PSO has a high convergence rate. It is prone to losing diversity along the iterative optimization process and may get trapped into a poor local optimum…”
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Distributed stochastic gradient tracking methods by Pu, Shi, Nedić, Angelia

“…In this paper, we study the problem of distributed multi-agent optimization over a network, where each agent possesses a local cost function that is smooth and strongly convex…”
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Harmonic maps and differential geometry : a harmonic map fest in honour of John C. Wood's 60th birthday, September 7-10, 2009, Cagliari, Italy by Loubeau, E. (Eric), Montaldo, S. (Stefano), Wood, John C.

“…This volume contains the proceedings of a conference held in Cagliari, Italy, from September 7-10, 2009, to celebrate John C. Wood's 60th birthday. These…”
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Nonlinear elliptic partial differential equations : Workshop in celebration of Jean-Pierre Gossez's 65th birthday, September 2-4, 2009, Université libre de Bruxelles, Belgium by Workshop in Nonlinear Elliptic Partial Differential Equations, Bonheure, Denis, Cuesta, Mabel, Dozo, Enrique J. Lami, Takáč, Peter, Van Schaftingen, Jean, Willem, Michel, Gossez, J. P.

“…This volume contains papers on semi-linear and quasi-linear elliptic equations from the worshop on nonlinear elliptic partial differential equations, in honour…”
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Conic Optimization via Operator Splitting and Homogeneous Self-Dual Embedding by O’Donoghue, Brendan, Chu, Eric, Parikh, Neal, Boyd, Stephen

“…We introduce a first-order method for solving very large convex cone programs. The method uses an operator splitting method, the alternating directions method…”
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Distributed nonconvex constrained optimization over time-varying digraphs by Scutari, Gesualdo, Sun, Ying

“…This paper considers nonconvex distributed constrained optimization over networks, modeled as directed…”
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Performance evaluation of hybrid WOA-XGBoost, GWO-XGBoost and BO-XGBoost models to predict blast-induced ground vibration by Qiu, Yingui, Zhou, Jian, Khandelwal, Manoj, Yang, Haitao, Yang, Peixi, Li, Chuanqi

“… for characterizing blast-induced ground vibration. Also, in order to enhance its predictive accuracy, the gray wolf optimization (GWO…”
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Regularity for general functionals with double phase by Baroni, Paolo, Colombo, Maria, Mingione, Giuseppe

“…We prove sharp regularity results for a general class of functionals of the type w ↦ ∫ F ( x , w , D w ) d x , featuring non-standard growth conditions and…”
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Optimal gradient tracking for decentralized optimization by Song, Zhuoqing, Shi, Lei, Pu, Shi, Yan, Ming

“…In this paper, we focus on solving the decentralized optimization problem of minimizing the sum of n objective functions over a multi-agent network…”
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Minimizing finite sums with the stochastic average gradient by Schmidt, Mark, Le Roux, Nicolas, Bach, Francis

“…We analyze the stochastic average gradient (SAG) method for optimizing the sum of a finite number of smooth convex functions. Like stochastic gradient (SG)…”
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