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19992026
most citedSparsistency and rates of convergence in large covariance matrix estimation

421 citations

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13 papers · 1 filter

math.OC2024

Continuous-time persuasion by filtering

René Aïd, Ofelia Bonesini, Giorgia Callegaro +1

We frame dynamic persuasion in a partial observation stochastic control Leader-Follower game with an ergodic criterion. The Receiver controls the dynamics of a multidimensional uno…

math.OC2022

The law of one price in quadratic hedging and mean-variance portfolio selection

Aleš Černý, Christoph Czichowsky

The law of one price (LOP) broadly asserts that identical financial flows should command the same price. We show that, when properly formulated, LOP is the minimal condition for a…

math.OC2021★ 3 cited

Numeraire-invariant quadratic hedging and mean--variance portfolio allocation

Aleš Černý, Christoph Czichowsky, Jan Kallsen

The paper investigates quadratic hedging in a semimartingale market that does not necessarily contain a risk-free asset. An equivalence result for hedging with and without numerair…

math.OC2018★ 4 cited

A policy iteration algorithm for nonzero-sum stochastic impulse games

René Aïd, Francisco Bernal, Mohamed Mnif +2

This work presents a novel policy iteration algorithm to tackle nonzero-sum stochastic impulse games arising naturally in many applications. Despite the obvious impact of solving s…

math.OC2017★ 24 cited

Unique lifting of integer variables in minimal inequalities

Amitabh Basu, Manoel Campelo, Michele Conforti +2

This paper contributes to the theory of cutting planes for mixed integer linear programs (MILPs). Minimal valid inequalities are well understood for a relaxation of an MILP in tabl…

math.OC2016★ 11 cited

An Investment Model with Switching Costs and the Option to Abandon

Mihail Zervos, Carlos Oliveira, Kate Duckworth

We develop a complete analysis of a general entry-exit-scrapping model. In particular, we consider an investment project that operates within a random environment and yields a payo…

math.OC2014

Optimal double stopping of a Brownian bridge

Erik J. Baurdoux, Nan Chen, Budhi A. Surya +1

We study optimal double stopping problems driven by a Brownian bridge. The objective is to maximize the expected spread between the payoffs achieved at the two stopping times. We s…

math.OC2014

Quadratization of Symmetric Pseudo-Boolean Functions

Martin Anthony, Endre Boros, Yves Crama +1

A pseudo-Boolean function is a real-valued function of binary variables; that is, a mapping from to . For a pseudo-Boolean…

math.OC2011★ 1 cited

Solvability of the algebraic Riccati equation in Banach algebras

Amol Sasane

Let be a commutative complex unital semisimple Banach algebra with the involution . Sufficient conditions are given for the existence of a stabilizing solution to…

math.OC2011

Extension of the -metric for stabilizable plants over

Amol Sasane

An abstract -metric was introduced by Ball and Sasane, with a view towards extending the classical -metric of Vinnicombe from the case of rational transfer functions to more…

math.OC2010★ 1 cited

An abstract Nyquist criterion containing old and new results

Amol Sasane

We prove an abstract Nyquist criterion in a general set up. As applications, we recover various versions of the Nyquist criterion, some of which are new.

math.OC2009★ 1 cited

The Gilbert Arborescence Problem

M. G. Volz, M. Brazil, C. J. Ras +2

We investigate the problem of designing a minimum cost flow network interconnecting n sources and a single sink, each with known locations in a normed space and with associated flo…

math.OC2008★ 10 cited

Asymptotic behaviour of a family of gradient algorithms in R^d and Hilbert spaces

Luc Pronzato, Henry P. Wynn, Anatoly A. Zhigljavsky

The asymptotic behaviour of a family of gradient algorithms (including the methods of steepest descent and minimum residues) for the optimisation of bounded quadratic operators in…