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Sensitivity Analysis for Mirror-Stratifiable Convex Functions [PDF]
This paper provides a set of sensitivity analysis and activity identification results for a class of convex functions with a strong geometric structure, that we coined "mirror-stratifiable".
Fadili, Jalal+2 more
core +4 more sources
Discrete convex analysis [PDF]
A theory of "discrete convex analysis" is developed for integer-valued functions defined on integer lattice points. The theory parallels the ordinary convex analysis, covering discrete analogues of the fundamental concepts such as conjugacy, subgradients, the Fenchel min-max duality, separation theorems and the Lagrange duality framework for convex ...
openaire +2 more sources
Convexity and logical analysis of data
AbstractA Boolean function is called k-convex if for any pair x,y of its true points at Hamming distance at most k, every point “between” x and y is also true. Given a set of true points and a set of false points, the central question of Logical Analysis of Data is the study of those Boolean functions whose values agree with those of the given points ...
Ekin O., Hammer P.L., Kogan, A.
openaire +5 more sources
Differential analysis of matrix convex functions
We analyze matrix convex functions of a fixed order defined on a real interval by differential methods as opposed to the characterization in terms of divided differences given by Kraus.
Akritas+11 more
core +2 more sources
Hyperspace of convex compacta of nonmetrizable compact convex subspaces of locally convex spaces
Our main result states that the hyperspace of convex compact subsets of a compact convex subset $X$ in a locally convex space is an absolute retract if and only if $X$ is an absolute retract of weight $\le\omega_1$.
Benyamini+17 more
core +1 more source
Abstract The thermoluminescence dosimeter (TLD) sheet is a measurement device coated with manganese‐doped LiB3O5 in sheet form. The sheet is 0.2‐mm thick and flexible. Hence, it can fit and be installed on irregular surfaces. The current study aimed to evaluate the feasibility of measuring patient surface doses during radiation therapy using TLD sheets.
Yuya Miyasaka+8 more
wiley +1 more source
Sensitivity analysis in convex programming
AbstractThe object of this paper is to perform an analysis of the sensitivity for convex vector programs with inequality constraints by examining the quantitative behavior of a certain set of optima according to changes of right-hand side parameters included in the program.
P. Jiménez Guerra+2 more
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The cost as a function of the number of experiments for a non‐symmetric 21×21$$ 21\times 21 $$ system. Four approaches are shown: the proposed stochastic conjugate gradient ILC (SCGILC) method (), deterministic conjugate gradient ILC (), stochastic gradient descent ILC () and deterministic gradient descent ILC ().
Leontine Aarnoudse, Tom Oomen
wiley +1 more source
Current and Future Cornea Chip Models for Advancing Ophthalmic Research and Therapeutics
This review analyzes cornea chip technology as an innovative solution to corneal blindness and tissue scarcity. The examination encompasses recent developments in biomaterial design and fabrication methods replicating corneal architecture, highlighting applications in drug screening and disease modeling while addressing key challenges in mimicking ...
Minju Kim+3 more
wiley +1 more source
Applications of convex analysis within mathematics [PDF]
38 pages, minor revision incorporating referees ...
Aragón Artacho, Francisco J.+3 more
openaire +6 more sources