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Model-Free Reinforcement Learning has achieved meaningful results in stable environments but, to this day, it remains problematic in regime changing environments like financial markets. In contrast, model-based RL is able to capture some…

Machine Learning · Computer Science 2021-04-23 Eric Benhamou , David Saltiel , Serge Tabachnik , Sui Kai Wong , François Chareyron

Prediction models calibrated using historical data may forecast poorly if the dynamics of the present and future differ from observations in the past. For this reason, predictions can be improved if information like forward looking views…

Optimization and Control · Mathematics 2025-09-16 Anas Abdelhakmi , Andrew E. B. Lim

In this paper we analyze American style of floating strike Asian call options belonging to the class of financial derivatives whose payoff diagram depends not only on the underlying asset price but also on the path average of underlying…

Computational Finance · Quantitative Finance 2011-01-18 Daniel Sevcovic , Martin Takac

In order to illustrate the adaptation of traditional continuum numerical techniques to the study of complex network systems, we use the equation-free framework to analyze a dynamically evolving multigraph. This approach is based on coupling…

Data Analysis, Statistics and Probability · Physics 2016-11-03 Alexander Holiday , Ioannis G. Kevrekidis

Mean-field variational methods are widely used for approximate posterior inference in many probabilistic models. In a typical application, mean-field methods approximately compute the posterior with a coordinate-ascent optimization…

Machine Learning · Statistics 2013-03-14 Chong Wang , David M. Blei

This paper generalizes recent results by the authors on noninvasive model-reference adaptive control designs for control-based continuation of periodic orbits in periodically excited linear systems with matched uncertainties to a larger…

Optimization and Control · Mathematics 2023-01-02 Yang Li , Harry Dankowicz

We develop a modified online mirror descent framework that is suitable for building adaptive and parameter-free algorithms in unbounded domains. We leverage this technique to develop the first unconstrained online linear optimization…

Machine Learning · Computer Science 2024-02-12 Andrew Jacobsen , Ashok Cutkosky

For realistic scale-free networks, we investigate the traffic properties of stochastic routing inspired by a zero-range process known in statistical physics. By parameters $\alpha$ and $\delta$, this model controls degree-dependent hopping…

Physics and Society · Physics 2015-03-17 Yukio Hayashi , Yasumasa Ono

In this paper we introduce a completely continuous and time-variate model of the evolution of market limit orders based on the existence, uniqueness, and regularity of the solutions to a type of stochastic partial differential equations…

Trading and Market Microstructure · Quantitative Finance 2012-10-29 Zhi Zheng , Richard B. Sowers

Inferring control parameters in non-linear dynamical systems is an important task in analysing general dynamical behaviours, particularly in the presence of inherently deterministic chaos. Traditional approaches often rely on…

Chaotic Dynamics · Physics 2025-06-19 L. Lober , M. S. Palmero , F. A. Rodrigues

The paper develops general, discrete, non-probabilistic market models and minmax price bounds leading to price intervals for European options. The approach provides the trajectory based analogue of martingale-like properties as well as a…

Mathematical Finance · Quantitative Finance 2015-11-06 Sebastian E. Ferrando , Alfredo L. Gonzalez , Ivan L. Degano , Massoome Rahsepar

A variety of methods have been proposed for inference about extreme dependence for multivariate or spatially-indexed stochastic processes and time series. Most of these proceed by first transforming data to some specific extreme value…

Statistics Theory · Mathematics 2018-05-22 James E. Johndrow , Robert L. Wolpert

This work introduces a novel, simple, and flexible method to quantify irreversibility in generic high-dimensional time series based on the well-known mapping to a binary classification problem. Our approach utilizes gradient boosting for…

Statistical Mechanics · Physics 2025-01-09 Michele Vodret , Cristiano Pacini , Christian Bongiorno

This article presents methods for estimating extreme probabilities, beyond the range of the observations. These methods are model-free and applicable to almost any sample size. They are grounded in order statistics theory and have a wide…

Applications · Statistics 2025-04-03 Joan del Castillo , Pedro Puig

We present a nonlinear model predictive control (MPC) scheme for tracking of dynamic target signals. The scheme combines stabilization and dynamic trajectory planning in one layer, thus ensuring constraint satisfaction irrespective of…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

We present a non-probabilistic, pathwise approach to continuous-time finance based on causal functional calculus. We introduce a definition of self-financing, free from any integration concept and show that the value of a self-financing…

Mathematical Finance · Quantitative Finance 2022-12-05 Henry Chiu , Rama Cont

In this paper, we model dependence between operational risks by allowing risk profiles to evolve stochastically in time and to be dependent. This allows for a flexible correlation structure where the dependence between frequencies of…

Risk Management · Quantitative Finance 2009-07-31 Gareth W. Peters , Pavel V. Shevchenko , Mario V. Wüthrich

This article investigates a regime-switching investment strategy aimed at mitigating downside risk by reducing market exposure during anticipated unfavorable market regimes. We highlight the statistical jump model (JM) for market regime…

Portfolio Management · Quantitative Finance 2024-09-18 Yizhan Shu , Chenyu Yu , John M. Mulvey

The present paper provides a study of high-dimensional statistical arbitrage that combines factor models with the tools from stochastic control, obtaining closed-form optimal strategies which are both interpretable and computationally…

Mathematical Finance · Quantitative Finance 2021-06-25 Jorge Guijarro-Ordonez

We consider a financial network represented at any time instance by a random liability graph which evolves over time. The agents connect through credit instruments borrowed from each other or through direct lending, and these create the…

Risk Management · Quantitative Finance 2022-12-23 Indrajit Saha , Veeraruna Kavitha