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This paper introduces the novel class of modulated cyclostationary processes, a class of non-stationary processes exhibiting frequency coupling, and proposes a method of their estimation from repeated trials. Cyclostationary processes also…

Methodology · Statistics 2012-10-25 Sofia C. Olhede , Hernando Ombao

Using the recent incremental modelling, it is shown that the trajectory of a sample in the phase space of soil mechanics in the vicinity of the critical state is not governed by the rigidity matrix, but by its variations. The…

Soft Condensed Matter · Physics 2007-05-23 P. Evesque

The process algebra HYPE was recently proposed as a fine-grained modelling approach for capturing the behaviour of hybrid systems. In the original proposal, each flow or influence affecting a variable is modelled separately and the overall…

Logic in Computer Science · Computer Science 2011-07-08 Luca Bortolussi , Vashti Galpin , Jane Hillston

Simulation of rough volatility models involves discretization of stochastic integrals where the integrand is a function of a (correlated) fractional Brownian motion of Hurst index $H \in (0,1/2)$. We obtain results on the rate of…

Computational Finance · Quantitative Finance 2023-02-07 Paul Gassiat

Mixed-quantum-classical molecular dynamics simulation implies an effective measurement on the electronic states owing to continuously tracking the atomic forces.Based on this insight, we propose a quantum trajectory mean-field approach for…

Chemical Physics · Physics 2014-08-08 Wei Feng , Luting Xu , Xin-Qi Li , Weihai Fang , YiJing Yan

Simulation-based planning with rollouts is a widely-deployed technique for decision making in stochastic environments. The primary instrument of simulation-based planning is a sampling model, which is repeatedly called to generate…

Machine Learning · Computer Science 2026-05-07 Sandarbh Yadav , Frederic J Maliakkal , Harshad Khadilkar , Shivaram Kalyanakrishnan

Projective measurements of collective observables can be employed to herald the preparation of entangled states of quantum systems, and the resulting conditional dynamics is usually handled by stochastic master equation (SME) for small…

Quantum Physics · Physics 2026-02-13 ZhiQing Zhang , HaiZhong Guo , Lingrui Wang , Gang Chen , Chongxin Shan , Klaus Mølmer , Yuan Zhang

We introduce a modular framework that extends the signature method to handle American option pricing under evolving volatility roughness. Building on the signature-pricing framework of Bayer et al. (2025), we add three practical…

Mathematical Finance · Quantitative Finance 2025-08-13 Roshan Shah

The stability of dynamical systems with oscillatory behaviors and well-defined average vector fields has traditionally been studied using averaging theory. These tools have also been applied to hybrid dynamical systems, which combine…

Optimization and Control · Mathematics 2025-01-13 Mahmoud Abdelgalil , Jorge I. Poveda

Recently it has been reported that biased range-measurements among neighboring agents in the gradient distance-based formation control can lead to predictable collective motion. In this paper we take advantage of this effect and by…

Systems and Control · Computer Science 2016-09-26 Hector Garcia de Marina , Bayu Jayawardhana , Ming Cao

In this paper we consider the simulation-based Bayesian analysis of stochastic volatility in mean (SVM) models. Extending the highly efficient Markov chain Monte Carlo mixture sampler for the SV model proposed in Kim et al. (1998) and Omori…

Econometrics · Economics 2024-11-21 Daichi Hiraki , Siddhartha Chib , Yasuhiro Omori

The simulation of systems that act on multiple time scales is challenging. A stable integration of the fast dynamics requires a highly accurate approximation whereas for the simulation of the slow part, a coarser approximation is accurate…

Numerical Analysis · Mathematics 2024-06-21 Sina Ober-Blöbaum , Theresa Wenger , Tobias Gail , Sigrid Leyendecker

The Hamiltonian Mean Field (HMF) model of coupled inertial, Hamiltonian rotors is a prototype for conservative dynamics in systems with long-range interactions. We consider the case where the interactions between the rotors are governed by…

Statistical Mechanics · Physics 2016-02-09 Yogesh S. Virkar , Juan G. Restrepo , James D. Meiss

Rough Volterra volatility models are a progressive and promising field of research in derivative pricing. Although rough fractional stochastic volatility models already proved to be superior in real market data fitting, techniques used in…

Computational Finance · Quantitative Finance 2022-08-04 Jan Matas , Jan Pospíšil

Optimal B-robust estimate is constructed for multidimensional parameter in drift coefficient of diffusion type process with small noise. Optimal mean-variance robust (optimal V -robust) trading strategy is find to hedge in mean-variance…

Portfolio Management · Quantitative Finance 2008-12-10 N. Lazrieva , T. Toronjadze

One-step generative modeling seeks to generate high-quality data samples in a single function evaluation, significantly improving efficiency over traditional diffusion or flow-based models. In this work, we introduce Modular MeanFlow (MMF),…

Machine Learning · Computer Science 2025-08-26 Haochen You , Baojing Liu , Hongyang He

We present a novel approach to investigate the long-time stochastic dynamics of multi-dimensional classical systems, in contact with a heat-bath. When the potential energy landscape is rugged, the kinetics displays a decoupling of short and…

Soft Condensed Matter · Physics 2013-05-29 O. Corradini , P. Faccioli , H. Orland

This paper proposes a simulation-based framework for assessing and improving the performance of a pension fund management scheme. This framework is modular and allows the definition of customized performance metrics that are used to assess…

Optimization and Control · Mathematics 2026-03-17 Raphael Chinchilla , Thomas D. Rueter , Timothy R. McDade , Peter R. Fisher , Emmanuel Candes , Trevor Hastie , Stephen Boyd

Several phenomena are available representing market activity: volumes, number of trades, durations between trades or quotes, volatility - however measured - all share the feature to be represented as positive valued time series. When…

Statistical Finance · Quantitative Finance 2021-07-14 Fabrizio Cipollini , Giampiero M. Gallo

In this paper, we address the problem of attitude synchronization for a group of rigid body systems evolving on SO(3). The interaction among these systems is modeled through an undirected, connected, and acyclic graph topology. First, we…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Mouaad Boughellaba , Soulaimane Berkane , Abdelhamid Tayebi