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We study the problem of option replication under constant proportional transaction costs in models where stochastic volatility and jumps are combined to capture the market's important features. Assuming some mild condition on the jump size…

Mathematical Finance · Quantitative Finance 2020-05-12 Thai Huu Nguyen , Serguei Pergamenschchikov

The empirical optimal transport (OT) cost between two probability measures from random data is a fundamental quantity in transport based data analysis. In this work, we derive novel guarantees for its convergence rate when the involved…

Statistics Theory · Mathematics 2022-02-22 Shayan Hundrieser , Thomas Staudt , Axel Munk

Contraction theory is an analytical tool to study differential dynamics of a non-autonomous (i.e., time-varying) nonlinear system under a contraction metric defined with a uniformly positive definite matrix, the existence of which results…

Machine Learning · Computer Science 2026-03-18 Hiroyasu Tsukamoto , Soon-Jo Chung , Jean-Jacques E. Slotine

This paper continues the examination of inventory control in which the inventory is modelled by a diffusion process and a long-term average cost criterion is used to make decisions. The class of such models under consideration have general…

Optimization and Control · Mathematics 2018-09-10 Kurt L. Helmes , Richard H. Stockbridge , Chao Zhu

Kendall's tau and conditional Kendall's tau matrices are multivariate (conditional) dependence measures between the components of a random vector. For large dimensions, available estimators are computationally expensive and can be improved…

Statistics Theory · Mathematics 2024-12-30 Rutger van der Spek , Alexis Derumigny

We study a class of nonlinear nonparametric inverse problems. Specifically, we propose a nonparametric estimator of the dynamics of a monotonically increasing trajectory defined on a finite time interval. Under suitable regularity…

Statistics Theory · Mathematics 2014-08-25 Debashis Paul , Jie Peng , Prabir Burman

We develop a synthetic, variational framework for deriving comparison principles in infinite-dimensional Banach spaces. Unlike traditional approaches that rely on the regularity of minimizers and Euler--Lagrange equations, our method…

Optimization and Control · Mathematics 2025-12-01 Flavien Léger , Maxime Sylvestre

We develop a new identification strategy for demand estimation when cost shifters may not be available and there are substantial variations in demand over time. This approaches relies on a kind of nonlinear difference-in-differences, in…

General Economics · Economics 2025-12-23 Xavier D'Haultfœuille , Ao Wang , Philippe Février , Lionel Wilner

The question of whether classically conformal modifications of the standard model are consistent with experimental obervations has recently been subject to renewed interest. The method of Gildener and Weinberg provides a natural framework…

High Energy Physics - Phenomenology · Physics 2019-01-30 Florian Loebbert , Julian Miczajka , Jan Plefka

We establish asymptotic properties of $M$-estimators, defined in terms of a contrast function and observations from a continuous-time locally stationary process. Using the stationary approximation of the sequence, $\theta$-weak dependence,…

Statistics Theory · Mathematics 2021-05-11 Bennet Ströh

The relative degree limitation for adaptive observer-based synchronization schemes is overcome. The scheme is extended to nonpassifiable systems. Two synchronization methods are described and justified based on augmented error adaptive…

Optimization and Control · Mathematics 2007-05-23 V. O. Nikiforov , A. L. Fradkov , B. R. Andrievsky

In computing, as in many aspects of life, changes incur cost. Many optimization problems are formulated as a one-time instance starting from scratch. However, a common case that arises is when we already have a set of prior assignments, and…

Data Structures and Algorithms · Computer Science 2013-02-11 Edith Cohen , Graham Cormode , Nick Duffield , Carsten Lund

A monotone self-mapping of the nonnegative orthant induces a monotone discrete-time dynamical system which evolves on the same orthant. If with respect to this system the origin is attractive then there must exists points whose image under…

Numerical Analysis · Mathematics 2010-05-06 Björn S. Rüffer , Fabian R. Wirth

This work is focused on the extension and assessment of the monotonicity-preserving scheme in [3] and the local bounds preserving scheme in [5] to hierarchical octree adaptive mesh refinement (AMR). Whereas the former can readily be used on…

Numerical Analysis · Mathematics 2020-06-24 Jesus Bonilla , Santiago Badia

We consider a discrete-time bipartite matching model with random arrivals of units of supply and demand that can wait in queues located at the nodes in the network. A control policy determines which are matched at each time. The focus is on…

Discrete Mathematics · Computer Science 2016-06-28 Ana Bušić , Sean Meyn

Interchange theorems between minimization and integration are useful in optimization, especially in optimal control and in stochastic optimization. In this article, we establish a generalized minimization interchange theorem, where…

Optimization and Control · Mathematics 2021-07-14 Jean-Philippe Chancelier , Michel de Lara , Benoît Tran

We consider discrete-time Markov Decision Processes with Borel state and action spaces and universally measurable policies. For several long-run average cost criteria, we establish the following optimality results: the optimal average cost…

Optimization and Control · Mathematics 2021-04-02 Huizhen Yu

The behavior of many critical phenomena at large distances is expected to be invariant under the full conformal group, rather than only isometries and scale transformations. When studying critical phenomena, approximations are often…

Statistical Mechanics · Physics 2025-12-03 Santiago Cabrera , Gonzalo De Polsi , Nicolás Wschebor

As is well known, average-cost optimality inequalities imply the existence of stationary optimal policies for Markov Decision Processes with average costs per unit time, and these inequalities hold under broad natural conditions. This paper…

Optimization and Control · Mathematics 2016-10-04 Eugene A. Feinberg , Yan Liang

This work proposes a way to align statistical modeling with decision making. We provide a method that propagates the uncertainty in predictive modeling to the uncertainty in operational cost, where operational cost is the amount spent by…

Machine Learning · Statistics 2015-03-19 Theja Tulabandhula , Cynthia Rudin