Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 13 of 13 for “"subdifferential"”.
-
Um método proximal inexato com distâncias proximais para problemas de equilíbrio Quase-monótono
… using proximal distances and the diagonal subdifferential. Under some natural assumptions on the problem and the quasimonotonicity condition on the bifunction, we prove that the sequence generated for the method converges to a solution point of the problem.
-
Modeling rational agents with limited capability
… present the Trust Region Adversarial Functional Subdifferential (TRAFS) algorithm for constrained optimization of unstructured nonsmooth convex Lipschitz functions. Unlike previous methods that assume a subgradient oracle model, I propose the functional subdifferential, defined as a set of …
-
Implicit Fixed-point Proximity Framework for Optimization Problems and Its Applications
… as well as convex analysis tools such as the subdifferential and proximity operator.</p> <p>With the notion of proximity operator, we can convert those optimization problems into finding fixed points of nonlinear operators. Under the fixed-point proximity framework, these fixed point problems …
-
Deep Learning Approaches for PDE-based Image Analysis and Beyond: From the Total Variation Flow to Medieval Paper Analysis
… Computing the TV flow is challenging because the subdifferential of TV is not a singleton unless the image has no constant regions. Numerical methods amount to either modifying the gradient of the image in constant regions to make sure that the subdifferential is single-valued or an implicit …
-
ΥΠΟΛΟΓΙΣΜΟΣ ΦΟΡΕΩΝ ΜΕ ΔΙΕΠΙΦΑΝΕΙΕΣ. ΜΟΡΦΩΣΗ ΚΑΙ ΜΕΛΕΤΗ ΠΡΟΒΛΗΜΑΤΩΝ ΑΝΙΣΟΤΗΤΩΝ ΜΕΤΑΒΟΛΩΝ-ΗΜΙΜΕΤΑΒΟΛΩΝ
… OF THE DIFFERENTIAL NOTION OF SMOOTH ANALYSIS: SUBDIFFERENTIAL OPERATOR IN THE SENSE OF J.J. MOREAU IS USED FOR MODELLING OF MONOTONE LAWS, GENERALIZEDSUBDIFFERENTIAL OPERATOR IN THE SENSE OF F.H. CLARKE AND THE QUASIDIFFERENTIALOPERATOR IN THE SENSE OF V.F. DEM'YANOV ARE USED FOR NONMONOTONE …
-
Methods Of Variational Analysis In Pessimistic Bilevel Programming
… We consider constructions or estimations of the subdifferential of value functions and come up with the optimality conditions using minimax programming approach treating the cases: convex data, differentiable (strict) data, and Lipschitz data separately. We also use the duality programming …
-
Design and operation of electricity markets: dynamics, uncertainty, pricing and competition
… nonconvexities are discussed. An extreme-point subdifferential (EPSD) algorithm for obtaining a global maximizer of the Lagrangian dual problem, interpreted as the convex hull price with the potential to reduce or eliminate uplift payments, is proposed. Numerical experiments illustrate the …
-
Polyhedral Computation for Differential System Analysis and Control
… including a novel characterisation of the subdifferential of polyhedral functions in one of the representations that leads to novel dissipativity conditions for bounding the L1 gain of systems. Differential analysis is used throughout to link the conditions on the polyhedra to the resulting …
-
Geometric numerical integration for optimisation
… within the nonsmooth, nonconvex Clarke subdifferential framework for locally Lipschitz continuous functions. The analysis is shown to hold in various settings, namely in the unconstrained and constrained setting, including epi-Lipschitzian constraints, and for stochastic and …
-
Nonsmooth Distillation Models Robust to Convergence Errors: Numerical Methods and Topological Aspects
… verifiable conditions, in terms of the B-subdifferential generalized derivative, that can be applied to the PCʳ MESH model function to theoretically predict the geometric behavior of its level sets that we observed numerically. The nonsmooth MESH model overcomes dry column errors for …
-
Algorithmic Approaches for Solving the Euclidean Distance Location and Location-Allocation Problems
… more effort to derive a low-norm member of the subdifferential in order to enhance the prospect of obtaining a descent direction. Furthermore, a Newton-based line-search is also designed and implemented in order to enhance the convergence behavior of the developed algorithm. Various combinations …
-
Variational Analysis In Parametric Optimization
… new calculus rules for both first-order partial subdifferentials and second-order partial subdifferentials in the framework of general Banach spaces as well as more developed rules in the framework of Asplund spaces. This calculus is applied in the study of sensitivity analysis for solution maps …
-
Generalized Matrix-fractional Functions and Their Applications
The support function of a closed convex set is a central object in convex geometry as it completely identifies the underlying set. For a particular class of sets -- the graph of matrix valued mapping $Y\mapsto -\half YY^T$ over an affine manifold $\set{Y\in\Rnm}{AY=B}$, their support functions are …