The conformal bootstrap: Theory, numerical techniques, and applications

D Poland, S Rychkov, A Vichi - Reviews of Modern Physics, 2019 - APS
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 …

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 …

[КНИГА][B] Randomized algorithms for analysis and control of uncertain systems: with applications

R Tempo, G Calafiore, F Dabbene - 2013 - Springer
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 …

Semi-infinite programming

M López, G Still - European journal of operational research, 2007 - Elsevier
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 …

The sliding Frank–Wolfe algorithm and its application to super-resolution microscopy

Q Denoyelle, V Duval, G Peyré, E Soubies - Inverse Problems, 2019 - iopscience.iop.org
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 …

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 …

Vector variational inequalities and vector optimization

QH Ansari, E Köbis, JC Yao - Cham: Springer International Publishing AG, 2018 - Springer
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 …

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 …

Quantum metrology in the finite-sample regime

JJ Meyer, S Khatri, DS França, J Eisert… - arxiv preprint arxiv …, 2023 - arxiv.org
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 …

[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 …