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State space models have long played an important role in signal processing. The Gaussian case can be treated algorithmically using the famous Kalman filter. Similarly since the 1970s there has been extensive application of Hidden Markov…

Statistics Theory · Mathematics 2007-06-13 Peter Bickel , Yaacov Ritov , Tobias Rydén

In this paper we study Algorithmic High-Frequency Financial Markets as dynamical networks. After an individual analysis of 24 stocks of the US market during a trading year of fully automated transactions by means of ordinal pattern series,…

Adaptation and Self-Organizing Systems · Physics 2022-05-04 Mario López Pérez , Ricardo Mansilla

We revisit the problem of predicting directional movements of stock prices based on news articles: here our algorithm uses daily articles from The Wall Street Journal to predict the closing stock prices on the same day. We propose a unified…

Machine Learning · Computer Science 2014-07-03 Felix Ming Fai Wong , Zhenming Liu , Mung Chiang

This paper explores stochastic modeling approaches to elucidate the intricate dynamics of stock prices and volatility in financial markets. Beginning with an overview of Brownian motion and its historical significance in finance, we delve…

History and Overview · Mathematics 2024-05-03 Aashrit Cunchala

We model the stock price dynamics through a semi-Markov process obtained using a Poisson random measure. We establish the existence and uniqueness of the classical solution of a non-homogeneous terminal value problem and we show that the…

Mathematical Finance · Quantitative Finance 2022-09-13 Garima Agrawal , Anindya Goswami

This work studies networked agents cooperating to track a dynamical state of nature under partial information. The proposed algorithm is a distributed Bayesian filtering algorithm for finite-state hidden Markov models (HMMs). It can be used…

Signal Processing · Electrical Eng. & Systems 2022-12-07 Mert Kayaalp , Virginia Bordignon , Stefan Vlaski , Vincenzo Matta , Ali H. Sayed

Financial markets are of much interest to researchers due to their dynamic and stochastic nature. With their relations to world populations, global economies and asset valuations, understanding, identifying and forecasting trends and…

Statistical Finance · Quantitative Finance 2021-08-13 Peter Akioyamen , Yi Zhou Tang , Hussien Hussien

This paper explores the application of Hidden Markov Models (HMM) and Long Short-Term Memory (LSTM) neural networks for economic forecasting, focusing on predicting CPI inflation rates. The study explores a new approach that integrates…

Machine Learning · Computer Science 2025-01-07 Guhan Sivakumar

It is reported that financial news, especially financial events expressed in news, provide information to investors' long/short decisions and influence the movements of stock markets. Motivated by this, we leverage financial event streams…

Statistical Finance · Quantitative Finance 2020-10-30 Xianchao Wu

The ability to predict the intentions of people based solely on their visual actions is a skill only performed by humans and animals. The intelligence of current computer algorithms has not reached this level of complexity, but there are…

Artificial Intelligence · Computer Science 2011-02-07 Michael DelRose , Christian Wagner , Philip Frederick

We review some methods recently used in the literature to detect the existence of a certain degree of common behavior of stock returns belonging to the same economic sector. Specifically, we discuss methods based on random matrix theory and…

Physics and Society · Physics 2021-08-25 C. Coronnello , M. Tumminello , F. Lillo , S. Micciche` , R. N. Mantegna

Summarized by the efficient market hypothesis, the idea that stock prices fully reflect all available information is always confronted with the behavior of real-world markets. While there is plenty of evidence indicating and quantifying the…

Physics and Society · Physics 2020-12-16 Luiz G. A. Alves , Higor Y. D. Sigaki , Matjaz Perc , Haroldo V. Ribeiro

We describe a generalization of the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) which is able to encode prior information that state transitions are more likely between "nearby" states. This is accomplished by defining a…

Machine Learning · Statistics 2017-07-24 Colin Reimer Dawson , Chaofan Huang , Clayton T. Morrison

We study a an optimal high frequency trading problem within a market microstructure model designed to be a good compromise between accuracy and tractability. The stock price is driven by a Markov Renewal Process (MRP), while market orders…

Trading and Market Microstructure · Quantitative Finance 2015-01-06 Pietro Fodra , Huyên Pham

The ability to identify stock market trends has obvious advantages for investors. Buying stock on an upward trend (as well as selling it in case of downward movement) results in profit. Accordingly, the start and end-points of the trend are…

Computational Finance · Quantitative Finance 2021-04-20 Ekaterina Zolotareva

In this paper we present a continuous time dynamical model of heterogeneous agents interacting in a financial market where transactions are cleared by a market maker. The market is composed of fundamentalist, trend following and contrarian…

Data Analysis, Statistics and Probability · Physics 2008-12-10 Giuseppe Garofalo , Alessandro Sansone

This paper proposes an information retrieval method for the economy news. The effect of economy news, are researched in the word level and stock market values are considered as the ground proof. The correlation between stock market prices…

Computational Engineering, Finance, and Science · Computer Science 2014-03-11 Sadi Evren Seker , Cihan Mert , Khaled Al-Naami , Nuri Ozalp , Ugur Ayan

We study in this paper the time evolution of stock markets using a statistical physics approach. Each agent is represented by a spin having a number of discrete states $q$ or continuous states, describing the tendency of the agent for…

General Finance · Quantitative Finance 2021-02-09 Hung T. Diep , Gabriel Desgranges

Hidden Quantum Markov Models (HQMMs) can be thought of as quantum probabilistic graphical models that can model sequential data. We extend previous work on HQMMs with three contributions: (1) we show how classical hidden Markov models…

Machine Learning · Statistics 2017-10-26 Siddarth Srinivasan , Geoff Gordon , Byron Boots

It is important to predict any adversarial attacks and their types to enable effective defense systems. Often it is hard to label such activities as malicious ones without adequate analytical reasoning. We propose the use of Hidden Markov…

Cryptography and Security · Computer Science 2021-06-04 Shuvalaxmi Dass , Prerit Datta , Akbar Siami Namin