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Through the analysis of a dataset of ultra high frequency order book updates, we introduce a model which accommodates the empirical properties of the full order book together with the stylized facts of lower frequency financial data. To do…

Trading and Market Microstructure · Quantitative Finance 2014-09-05 Weibing Huang , Charles-Albert Lehalle , Mathieu Rosenbaum

Learned models of the environment provide reinforcement learning (RL) agents with flexible ways of making predictions about the environment. In particular, models enable planning, i.e. using more computation to improve value functions or…

Machine Learning · Computer Science 2021-10-26 Gregory Farquhar , Kate Baumli , Zita Marinho , Angelos Filos , Matteo Hessel , Hado van Hasselt , David Silver

Rising inequalities around the globe bring into question our economic systems and the origin of such inequalities. Here we propose a toy agent-based model where each entity is simultaneously producing and consuming indivisible goods. We…

Disordered Systems and Neural Networks · Physics 2024-05-29 Nirbhay Patil , Jean-Philippe Bouchaud

Turbulent dynamical systems are characterized by nonlinear interactions and stochastic effects that generate coupled statistical quantities, such as non-zero higher-order moments, which are difficult to capture from data with accuracy. We…

Machine Learning · Computer Science 2026-05-12 Xingjian Xu , Di Qi , Chunmei Wang

We develop an entropic framework to model the dynamics of stocks and European Options. Entropic inference is an inductive inference framework equipped with proper tools to handle situations where incomplete information is available. The…

Pricing of Securities · Quantitative Finance 2019-08-20 Mohammad Abedi , Daniel Bartolomeo

The statistical description and modeling of volatility plays a prominent role in econometrics, risk management and finance. GARCH and stochastic volatility models have been extensively studied and are routinely fitted to market data, albeit…

Computational Engineering, Finance, and Science · Computer Science 2018-03-13 Nils Bertschinger , Iurii Mozzhorin , Sitabhra Sinha

This paper studies the data-driven control of unknown linear-threshold network dynamics to stabilize the state to a reference value. We consider two types of controllers: (i) a state feedback controller with feed-forward reference input and…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Xuan Wang , Duy Duong-Tran , Jorge Cortés

Time- and state-domain methods are two common approaches for nonparametric prediction. The former predominantly uses the data in the recent history while the latter mainly relies on historical information. The question of combining these…

Statistics Theory · Mathematics 2007-06-13 Jianqing Fan , Yingying Fan , Jiancheng Jiang

We describe a bottom-up framework, based on the identification of appropriate order parameters and determination of phase diagrams, for understanding progressively refined agent-based models and simulations of financial markets. We…

Trading and Market Microstructure · Quantitative Finance 2015-06-04 Ribin Lye , James Peng Lung Tan , Siew Ann Cheong

We present a method for active inference with partial observations in stochastic systems through incentive design, also known as the leader-follower game. Consider a leader agent who aims to infer a follower agent's type given a finite set…

Systems and Control · Electrical Eng. & Systems 2025-02-12 Xinyi Wei , Chongyang Shi , Shuo Han , Ahmed H. Hemida , Charles A. Kamhoua , Jie Fu

Volatilities, in high-dimensional panels of economic time series with a dynamic factor structure on the levels or returns, typically also admit a dynamic factor decomposition. We consider a two-stage dynamic factor model method recovering…

Econometrics · Economics 2022-02-03 Matteo Barigozzi , Marc Hallin

Consider a subject or unit in a longitudinal biomedical, public health, engineering, economic, or social science study which is being monitored over a possibly random duration. Over time this unit experiences competing recurrent events and…

Methodology · Statistics 2024-12-30 Lili Tong , Piaomu Liu , Edsel Pena

Dynamical systems are often subject to forcing or changes in their governing parameters and it is of interest to study how this affects their statistical properties. A prominent real-life example of this class of problems is the…

Chaotic Dynamics · Physics 2020-03-18 Manuel Santos Gutiérrez , Valerio Lucarini

We propose RLAnything, a reinforcement learning framework that dynamically forges environment, policy, and reward models through closed-loop optimization, amplifying learning signals and strengthening the overall RL system for any LLM or…

Machine Learning · Computer Science 2026-02-04 Yinjie Wang , Tianbao Xie , Ke Shen , Mengdi Wang , Ling Yang

We develop a continuous-time principal-agent model of gig work, where contractual flexibility allows the employer to adjust fixed pay and output-based incentives dynamically. The worker's participation depends on a backward-looking…

General Economics · Economics 2025-09-03 Zsolt Bihary , Péter Csóka , Péter Kerényi , Alexander Szimayer

We introduce a multivariate multidimensional mixed-effects regression model in a finite mixture framework. We relax the usual unidimensionality assumption on the random effects multivariate distribution. Thus, we introduce a…

Methodology · Statistics 2014-10-20 Alessandra Marcelletti , Antonello Maruotti , Giovanni Trovato

Discovering the governing equations of a physical system and designing an effective feedback controller remains one of the most challenging and intensive areas of ongoing research. This task demands a deep understanding of the system…

Machine Learning · Computer Science 2025-08-20 Lakshmi Priya P. K. , Andreas Schwung

Based on empirical evidences and previous studies, we introduce and mathematically study a perception-driven model for the dynamics of buyer populations in markets of perishable goods. Buyer behaviours are driven partly by some loyalty to…

Theoretical Economics · Economics 2024-07-23 Ali Ellouze , Bastien Fernandez

We develop a framework to holistically test for and monitor the impact of different types of events affecting a country's housing market, yet originating from housing-external sources. We classify events along three dimensions leading to…

General Economics · Economics 2025-02-06 Anja Hahn , Sanela Omerovic , Sofie Waltl

This paper develops a novel method to estimate firm-specific market-entry thresholds in international economics, allowing fixed costs to vary across firms alongside productivity. Our framework models market entry as an interaction between…

General Economics · Economics 2026-01-15 Peter H. Egger , Yulong Wang
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