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The conformal bootstrap: Theory, numerical techniques, and applications
Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …
of scale invariant critical points. They describe continuous phase transitions in fluids …
Semi-infinite programming, duality, discretization and optimality conditions
A Shapiro - Optimization, 2009 - Taylor & Francis
The aim of this article is to give a survey of some basic theory of semi-infinite programming.
In particular, we discuss various approaches to derivations of duality, discretization, and first …
In particular, we discuss various approaches to derivations of duality, discretization, and first …
[КНИГА][B] Randomized algorithms for analysis and control of uncertain systems: with applications
The presence of uncertainty in a system description has always been a critical issue in
control. The main objective of Randomized Algorithms for Analysis and Control of Uncertain …
control. The main objective of Randomized Algorithms for Analysis and Control of Uncertain …
Semi-infinite programming
A semi-infinite programming problem is an optimization problem in which finitely many
variables appear in infinitely many constraints. This model naturally arises in an abundant …
variables appear in infinitely many constraints. This model naturally arises in an abundant …
The sliding Frank–Wolfe algorithm and its application to super-resolution microscopy
This paper showcases the theoretical and numerical performance of the Sliding Frank–
Wolfe, which is a novel optimization algorithm to solve the BLASSO sparse spikes super …
Wolfe, which is a novel optimization algorithm to solve the BLASSO sparse spikes super …
The analytic functional bootstrap. Part I: 1D CFTs and 2D S-matrices
D Mazáč, MF Paulos - Journal of High Energy Physics, 2019 - Springer
A bstract We study a general class of functionals providing an analytic handle on the
conformal bootstrap equations in one dimension. We explicitly identify the extremal …
conformal bootstrap equations in one dimension. We explicitly identify the extremal …
Vector variational inequalities and vector optimization
Going back to the groundbreaking works by Edgeworth (1881) and Pareto (1906), the notion
of optimality in multiobjective optimization is an efficient tool for describing optimal solutions …
of optimality in multiobjective optimization is an efficient tool for describing optimal solutions …
A computationally efficient feasible sequential quadratic programming algorithm
CT Lawrence, AL Tits - Siam Journal on optimization, 2001 - SIAM
A sequential quadratic programming (SQP) algorithm generating feasible iterates is
described and analyzed. What distinguishes this algorithm from previous feasible SQP …
described and analyzed. What distinguishes this algorithm from previous feasible SQP …
Quantum metrology in the finite-sample regime
In quantum metrology, one of the major applications of quantum technologies, the ultimate
precision of estimating an unknown parameter is often stated in terms of the Cram\'er-Rao …
precision of estimating an unknown parameter is often stated in terms of the Cram\'er-Rao …
[КНИГА][B] Optimization of finite dimensional structures
M Ohsaki - 2016 - books.google.com
With an emphasis on real-world problems, this book reviews the basics of optimization of
frame structures such as trusses, building frames, and long-span trusses. It introduces …
frame structures such as trusses, building frames, and long-span trusses. It introduces …