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We develop a behavioral asset pricing model in which agents trade in a market with information friction. Profit-maximizing agents switch between trading strategies in response to dynamic market conditions. Due to noisy private information…

Trading and Market Microstructure · Quantitative Finance 2019-05-02 Zhentao Shi , Huanhuan Zheng

We present Epistemic Variational Onsager Diffusion Models (EVODMs), a machine learning framework that integrates Onsager's variational principle with diffusion models to enable thermodynamically consistent learning of free energy and…

Computational Physics · Physics 2025-02-18 Zequn He , Celia Reina

There have been recent efforts that combine seemingly disparate methods, extremum seeking (ES) optimization and partial differential equation (PDE) backstepping, to address the problem of model-free optimization with PDE actuator dynamics.…

Optimization and Control · Mathematics 2024-03-26 Cemal Tugrul Yilmaz , Mamadou Diagne , Miroslav Krstic

Inferring dynamics from time series is an important objective in data analysis. In particular, it is challenging to infer stochastic dynamics given incomplete data. We propose an expectation maximization (EM) algorithm that iterates between…

Data Analysis, Statistics and Probability · Physics 2021-08-25 Sangwon Lee , Vipul Periwal , Junghyo Jo

The expectation-maximization (EM) and space-alternating generalized EM (SAGE) algorithms have been applied to direction of arrival (DOA) estimation in known noise. In this work, the two algorithms are proposed for DOA estimation in unknown…

Signal Processing · Electrical Eng. & Systems 2022-08-17 Ming-yan Gong , Bin Lyu

In this paper we discuss practical limitations of the standard choice-based demand models used in the literature to estimate demand from sales transaction data. We present modifications and extensions of the models and discuss data…

Optimization and Control · Mathematics 2020-08-25 Norbert Remenyi , Xiaodong Luo

We formulate an equilibrium model of intraday trading in electricity markets. Agents face balancing constraints between their customers consumption plus intraday sales and their production plus intraday purchases. They have continuously…

Computational Finance · Quantitative Finance 2020-10-20 René Aid , Andrea Cosso , Huyên Pham

For nonlinear (control) systems, extended dynamic mode decomposition (EDMD) is a popular method to obtain data-driven surrogate models. Its theoretical foundation is the Koopman framework, in which one propagates observable functions of the…

Optimization and Control · Mathematics 2024-07-24 Lea Bold , Lars Grüne , Manuel Schaller , Karl Worthmann

We describe a simple model for speculative trading based on adaptive behavior of economic agents.The adaptive behavior is expressed through a feedback mechanism for changing agents' stock-to-bond ratios, depending on the past performance of…

Trading and Market Microstructure · Quantitative Finance 2018-09-26 Misha Perepelitsa

The proliferation of intermittent distributed renewable energy sources (RES) in modern power systems has fundamentally compromised the reliability and accuracy of deterministic net load forecasting. Generative models, particularly diffusion…

Systems and Control · Electrical Eng. & Systems 2025-06-04 Yixiang Huang , Jianhua Pei , Luocheng Chen , Zhenchang Du , Jinfu Chen , Zirui Peng

Decision making in modern stochastic systems, including e-commerce platforms, financial markets and healthcare systems, has evolved into a multifaceted process that combines information acquisition and adaptive information sources. This…

Optimization and Control · Mathematics 2026-01-07 Renyuan Xu , Thaleia Zariphopoulou , Luhao Zhang

In this short paper, we study the simulation of a large system of stochastic processes subject to a common driving noise and fast mean-reverting stochastic volatilities. This model may be used to describe the firm values of a large pool of…

Numerical Analysis · Mathematics 2021-10-13 Andrei Cozma , Christoph Reisinger

We introduce a prototype model in an attempt to capture some aspects of market dynamics simulating a trading mechanism. The model description starts with a discrete-space, continuous-time Markov process describing arrival and movement of…

Trading and Market Microstructure · Quantitative Finance 2013-04-04 N. Vvedenskaya , Y. Suhov , V. Belitsky

Information that is of relevance for decision-making is often distributed, and held by self-interested agents. Decision markets are well-suited mechanisms to elicit such information and aggregate it into conditional forecasts that can be…

Computer Science and Game Theory · Computer Science 2023-03-21 Wenlong Wang , Thomas Pfeiffer

Understanding neural dynamics is a central topic in machine learning, non-linear physics and neuroscience. However, the dynamics is non-linear, stochastic and particularly non-gradient, i.e., the driving force can not be written as gradient…

Neurons and Cognition · Quantitative Biology 2024-12-05 Junbin Qiu , Haiping Huang

We introduce Agentic Economic Modeling (AEM), a framework that aligns synthetic LLM choices with small-sample human evidence for reliable econometric inference. AEM first generates task-conditioned synthetic choices via LLMs, then learns a…

This paper introduces a dynamic change of measure approach for computing the analytical solutions of expected future prices (and therefore, expected returns) of contingent claims over a finite horizon. The new approach constructs hybrid…

Pricing of Securities · Quantitative Finance 2022-05-25 Sanjay K. Nawalkha , Xiaoyang Zhuo

We propose new Degroot-type social learning models with feedback in a continuous time, to investigate the effect of a noisy information source on consensus formation in a social network. Unlike the standard Degroot framework, noisy…

Physics and Society · Physics 2022-03-02 Tushar Vaidya , Thiparat Chotibut , Georgios Piliouras

Many statistical estimators are defined as the fixed point of a data-dependent operator, with estimators based on minimizing a cost function being an important special case. The limiting performance of such estimators depends on the…

Machine Learning · Computer Science 2022-03-22 Nhat Ho , Koulik Khamaru , Raaz Dwivedi , Martin J. Wainwright , Michael I. Jordan , Bin Yu

This paper develops a dynamic equilibrium model where agents exhibit a strong form of belief heterogeneity: they disagree about zero probability events. It is shown that, somewhat surprisingly, equilibrium exists in this setting, and that…

General Finance · Quantitative Finance 2013-06-24 Martin Larsson
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