Search Results - convex functions AND convex progress in convex geometry
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1
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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2
Superfast Second-Order Methods for Unconstrained Convex Optimization
ISSN: 0022-3239, 1573-2878Published: New York Springer US 01.10.2021Published in Journal of optimization theory and applications (01.10.2021)“…; Arjevani and Shiff in Math Program 178(1–2):327–360, 2019), which is O k - 7 / 2 . Our progress can be explained by a finer specification of the problem class…”
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3
Linearization and parallelization schemes for convex mixed-integer nonlinear optimization
ISSN: 0926-6003, 1573-2894Published: New York Springer US 01.03.2022Published in Computational optimization and applications (01.03.2022)“…We develop and test linearization and parallelization schemes for convex mixed-integer nonlinear programming…”
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4
The Largest Eigenvalue of a Convex Function, Duality, and a Theorem of Slodkowski
ISSN: 1050-6926, 1559-002XPublished: New York Springer US 01.10.2016Published in The Journal of geometric analysis (01.10.2016)“…” of a convex function. In his work on the Dirichlet problem, Slodkowski introduces a generalized second-order derivative which for C 2 functions corresponds to the largest eigenvalue of the Hessian…”
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5
Convergence analysis of a proximal point algorithm for minimizing differences of functions
ISSN: 0233-1934, 1029-4945Published: Philadelphia Taylor & Francis 02.01.2017Published in Optimization (02.01.2017)“… A significant progress to go beyond convexity was made by considering the class of functions representable as differences of convex functions…”
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6
The joy of implications, aka pure Horn formulas: Mainly a survey
ISSN: 0304-3975, 1879-2294Published: Elsevier B.V 07.01.2017Published in Theoretical computer science (07.01.2017)“… We survey the mathematical theory of implications with an emphasis on the progress made in the last 30 years…”
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7
Fredholm Eigenvalues and Quasiconformal Geometry of Polygons
ISSN: 1072-3374, 1573-8795Published: New York Springer US 01.01.2021Published in Journal of mathematical sciences (New York, N.Y.) (01.01.2021)“… This is important also for the potential theory but has not been solved even for convex polygons. This case has intrinsic interest in view of the connection of polygons with the geometry of the universal…”
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8
On the Convergence of a Bayesian Algorithm for Joint Dictionary Learning and Sparse Recovery
ISSN: 1053-587X, 1941-0476Published: New York IEEE 2020Published in IEEE transactions on signal processing (2020)“… In this paper, we make progress on this problem by analyzing a Bayesian algorithm for DL. Specifically, we cast the DL problem into the sparse Bayesian learning (SBL…”
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9
On FISTA with a relative error rule
ISSN: 0926-6003, 1573-2894Published: New York Springer US 01.03.2023Published in Computational optimization and applications (01.03.2023)“…The fast iterative shrinkage/thresholding algorithm (FISTA) is one of the most popular first-order iterations for minimizing the sum of two convex functions…”
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10
Recent Progress on Integrally Convex Functions
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 22.02.2023Published in arXiv.org (22.02.2023)“…Integrally convex functions constitute a fundamental function class in discrete convex analysis, including M-convex functions, L-convex functions, and many others…”
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11
Fast algorithms for maximizing monotone nonsubmodular functions
ISSN: 1382-6905, 1573-2886Published: New York Springer US 01.07.2022Published in Journal of combinatorial optimization (01.07.2022)“…) objective functions, the approximation algorithms for this problem have gotten much progress by using some interesting techniques…”
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12
Proximal point algorithms involving fixed points of nonexpansive mappings in CAT(0) spaces
ISSN: 1687-1812, 1687-1812Published: Cham Springer International Publishing 10.12.2015Published in Fixed point theory and applications (Hindawi Publishing Corporation) (10.12.2015)“… ) spaces and prove that the sequence generated by our iterative process converges to a minimizer of a convex function and a fixed point of mappings…”
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13
Complex hyperbolic orbifolds and hybrid lattices
ISSN: 0046-5755, 1572-9168Published: Dordrecht Springer Netherlands 01.04.2023Published in Geometriae dedicata (01.04.2023)“…A class of complex hyperbolic lattices in PU (2, 1) called the Deligne-Mostow lattices has been reinterpreted by Hirzebruch (see [ 1 , 10 ] and [ 24 ]) in…”
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14
A non-monotone trust-region method with noisy oracles and additional sampling
ISSN: 0926-6003, 1573-2894Published: New York Springer US 01.09.2024Published in Computational optimization and applications (01.09.2024)“… Depending on the estimated progress of the algorithm, this can yield sample size scenarios ranging from mini-batch to full sample functions…”
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15
An Algebraic Brascamp–Lieb Inequality
ISSN: 1050-6926, 1559-002XPublished: New York Springer US 01.10.2021Published in The Journal of geometric analysis (01.10.2021)“…–Lieb inequality is defined as a multilinear Lebesgue bound on the product of the pullbacks of a collection of functions f j ∈ L q j ( R n j ) , for j = 1…”
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Improved Weighted Restriction Estimates in R3
ISSN: 1050-6926, 1559-002XPublished: New York Springer US 01.09.2023Published in The Journal of geometric analysis (01.09.2023)“…Suppose 0 < α ≤ n , H : R n → [ 0 , 1 ] is a Lebesgue measurable function, and A α ( H ) is the infimum of all numbers C for which the…”
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17
Proximal Methods for Self-Healing and Exact Distributed Convex Optimization Extended abstract
Published: IEEE 27.09.2022Published in 2022 58th Annual Allerton Conference on Communication, Control, and Computing (Allerton) (27.09.2022)“…Distributed convex optimization algorithms employ a variety of methods for achieving exact convergence to the global optimal value…”
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Conference Proceeding -
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Streaming submodular maximization under d-knapsack constraints
ISSN: 1382-6905, 1573-2886Published: New York Springer US 01.01.2023Published in Journal of combinatorial optimization (01.01.2023)“… Among the known results, most of the submodular functions are defined on set. But recently some progress has been made on the integer lattice…”
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A Distributed Optimization Accelerated Algorithm with Uncoordinated Time-Varying Step-Sizes in an Undirected Network
ISSN: 2227-7390, 2227-7390Published: Basel MDPI AG 01.02.2022Published in Mathematics (Basel) (01.02.2022)“…In recent years, significant progress has been made in the field of distributed optimization algorithms…”
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20
NISQ Hardness and Convex Relaxations: Random Max-CSPs and Mean-Field Spin Glasses
ISBN: 9798380852302Published: ProQuest Dissertations & Theses 01.01.2023“… If true, it implies optimal inapproximability results for every Max-CSP. Despite impressive recent progress towards the conjecture there are no candidate instances…”
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Dissertation

