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This paper focuses on modeling the dynamic attributes of a dynamic network with a fixed number of vertices. These attributes are considered as time series which dependency structure is influenced by the underlying network. They are modeled…

Methodology · Statistics 2019-11-11 Jonas Krampe

The last decades have not only been characterized by an explosive growth of data, but also an increasing appreciation of data as a valuable resource. Their value comes with the ability to extract meaningful patterns that are of economic,…

Machine Learning · Statistics 2020-02-27 Jonas I. Liechti , Sebastian Bonhoeffer

We consider systems under uncertainty whose dynamics are partially unknown. Our aim is to study satisfaction of temporal logic properties by trajectories of such systems. We express these properties as signal temporal logic formulas and…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Ali Salamati , Sadegh Soudjani , Majid Zamani

Market-based agents refer to reinforcement learning agents which determine their actions based on an internal market of sub-agents. We introduce a new type of market-based algorithm where the state itself is factored into several axes…

Artificial Intelligence · Computer Science 2025-03-11 Abhimanyu Pallavi Sudhir , Long Tran-Thanh

Multivariate probability density functions of returns are constructed in order to model the empirical behavior of returns in a financial time series. They describe the well-established deviations from the Gaussian random walk, such as an…

Other Condensed Matter · Physics 2009-11-10 M. I. Krivoruchenko , E. Alessio , V. Frappietro , L. J. Streckert

We study a heterogeneous agent macroeconomic model with an infinite number of households and firms competing in a labor market. Each household earns income and engages in consumption at each time step while aiming to maximize a concave…

General Economics · Economics 2023-03-10 Ruitu Xu , Yifei Min , Tianhao Wang , Zhaoran Wang , Michael I. Jordan , Zhuoran Yang

This paper pioneers a novel approach to economic and public policy analysis by leveraging multiple Large Language Models (LLMs) as heterogeneous artificial economic agents. We first evaluate five LLMs' economic decision-making capabilities…

Artificial Intelligence · Computer Science 2025-02-25 Yuzhi Hao , Danyang Xie

We introduce a new framework to model interactions among agents which seek to trade to minimize their risk with respect to some future outcome. We quantify this risk using the concept of risk measures from finance, and introduce a class of…

Computer Science and Game Theory · Computer Science 2014-10-13 Rafael M. Frongillo , Mark D. Reid

Motivated by practical applications, we explore the constrained multi-period mean-variance portfolio selection problem within a market characterized by a dynamic factor model. This model captures predictability in asset returns driven by…

Portfolio Management · Quantitative Finance 2025-02-26 Jianjun Gao , Chengneng Jin , Yun Shi , Xiangyu Cui

In this work the system of agents is applied to establish a model of the nonlinear distributed signal processing. The evolution of the system of the agents - by the prediction time scale diversified trend followers, has been studied for the…

Statistical Finance · Quantitative Finance 2011-10-13 Tomáš Tokár , Denis Horváth , Michal Hnatich

We introduce a prototype agent-based model of the macroeconomy, with budgetary constraints at its core. The model is related to a class of constraint satisfaction problems (CSPs), which has been thoroughly investigated in computer science.…

General Economics · Economics 2021-06-18 Dhruv Sharma , Jean-Philippe Bouchaud , Marco Tarzia , Francesco Zamponi

Background: For complex financial systems, the negative and positive return-volatility correlations, i.e., the so-called leverage and anti-leverage effects, are particularly important for the understanding of the price dynamics. However,…

Statistical Finance · Quantitative Finance 2014-07-22 Jun-jie Chen , Bo Zheng , Lei Tan

We introduce a new class of latent process models for dynamic relational network data with the goal of detecting time-dependent structure. Network data are often observed over time, and static network models for such data may fail to…

Methodology · Statistics 2013-11-15 Lucy F. Robinson , Carey E. Priebe

Ranking data are frequently obtained nowadays but there are still scarce methods for treating these data when temporally observed. The present paper contributes to this topic by proposing and developing novel models for handling time series…

Methodology · Statistics 2025-02-10 Luiza Piancastelli , Wagner Barreto-Souza

Macroeconomic conditions influence the environments in which health systems operate, yet their value as leading signals of health system capacity has not been systematically evaluated. In this study, we examine whether selected…

Applications · Statistics 2026-01-23 Shome Chakraborty , Fardil Khan , Soutik Ghosal

We investigate the volatility return intervals in the NYSE and FOREX markets. We explain previous empirical findings using a model based on the interacting agent hypothesis instead of the widely-used efficient market hypothesis. We derive…

General Finance · Quantitative Finance 2016-10-26 Vygintas Gontis , Shlomo Havlin , Aleksejus Kononovicius , Boris Podobnik , H. Eugene Stanley

Economic inequality emerges from the interplay between regional growth-rate differences and the interaction network that couples regions. We propose a minimal income-dynamics model, where heterogeneity is governed by growth-rate…

Statistical Mechanics · Physics 2026-05-14 Jaeseok Hur , Meesoon Ha , Hawoong Jeong

Dynamic portfolio optimization is the process of sequentially allocating wealth to a collection of assets in some consecutive trading periods, based on investors' return-risk profile. Automating this process with machine learning remains a…

Machine Learning · Computer Science 2019-01-28 Pengqian Yu , Joon Sern Lee , Ilya Kulyatin , Zekun Shi , Sakyasingha Dasgupta

Models characterized by autoregressive structure and random coefficients are powerful tools for the analysis of high-frequency, high-dimensional and volatile time series. The available literature on such models is broad, but also sectorial,…

Methodology · Statistics 2020-09-18 Marta Regis , Paulo Serra , Edwin R. van den Heuvel

Time-dependently driven stochastic systems form a vast and manifold class of non-equilibrium systems used to model important applications on small length scales such as bit erasure protocols or microscopic heat engines. One property that…

Statistical Mechanics · Physics 2022-04-07 Julius Degünther , Timur Koyuk , Udo Seifert