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Bibliographic Details
Main Authors: Oliva, Christian, Tinjala, Silviu Gabriel
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.00953
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author Oliva, Christian
Tinjala, Silviu Gabriel
author_facet Oliva, Christian
Tinjala, Silviu Gabriel
contents This work introduces a new framework for modeling financial markets through an interpretable probabilistic state machine. By clustering historical returns based on momentum and risk features across multiple time horizons, we identify distinct market states that capture underlying regimes, such as expansion phase, contraction, crisis, or recovery. From a transition matrix representing the dynamics between these states, we construct a probabilistic state machine that models the temporal evolution of the market. This state machine enables the generation of a custom distribution of returns based on a mixture of Gaussian components weighted by state frequencies. We show that the proposed benchmark significantly outperforms the traditional approach in capturing key statistical properties of asset returns, including skewness and kurtosis, and our experiments across random assets and time periods confirm its robustness.
format Preprint
id arxiv_https___arxiv_org_abs_2510_00953
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Modeling Market States with Clustering and State Machines
Oliva, Christian
Tinjala, Silviu Gabriel
Computational Engineering, Finance, and Science
Machine Learning
This work introduces a new framework for modeling financial markets through an interpretable probabilistic state machine. By clustering historical returns based on momentum and risk features across multiple time horizons, we identify distinct market states that capture underlying regimes, such as expansion phase, contraction, crisis, or recovery. From a transition matrix representing the dynamics between these states, we construct a probabilistic state machine that models the temporal evolution of the market. This state machine enables the generation of a custom distribution of returns based on a mixture of Gaussian components weighted by state frequencies. We show that the proposed benchmark significantly outperforms the traditional approach in capturing key statistical properties of asset returns, including skewness and kurtosis, and our experiments across random assets and time periods confirm its robustness.
title Modeling Market States with Clustering and State Machines
topic Computational Engineering, Finance, and Science
Machine Learning
url https://arxiv.org/abs/2510.00953