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The minimum spanning tree, based on the concept of ultrametricity, is constructed from the correlation matrix of stock returns. The dynamics of this asset tree can be characterised by its normalised length and the mean occupation layer, as…

统计力学 · 物理学 2009-11-07 J. -P. Onnela , A. Chakraborti , K. Kaski , J. Kertesz

Historically, the economic recession often came abruptly and disastrously. For instance, during the 2008 financial crisis, the SP 500 fell 46 percent from October 2007 to March 2009. If we could detect the signals of the crisis earlier, we…

统计金融 · 定量金融 2024-01-15 Yue Chen , Xingyi Andrew , Salintip Supasanya

In the Steiner Tree problem we are given an edge weighted undirected graph $G = (V,E)$ and a set of terminals $R \subseteq V$. The task is to find a connected subgraph of $G$ containing $R$ and minimizing the sum of weights of its edges. We…

数据结构与算法 · 计算机科学 2026-01-06 Radek Hušek , Dušan Knop , Tomáš Masařík

It has been shown that the long term evolution of the Gross Product of the World after World War II can be well portrayed by the exponential function with the crossover at the year 1973, cinsiding with the Oil Crisis onset. For the the…

综合金融 · 定量金融 2016-01-20 Rzoska Agata Angelika

We fill a void in merging empirical and phenomenological characterisation of the dynamical phase transitions in complex systems by identifying three of them on real-life financial markets. We extract and interpret the empirical, numerical,…

统计金融 · 定量金融 2014-02-19 M. Wilinski , B. Szewczak , T. Gubiec , R. Kutner , Z. R. Struzik

In this paper, we study weakly dynamic undirected graphs, that can be used to represent some logistic networks. The goal is to deliver all the delivery points in the network. The network exists in a mostly stable environment, except for a…

数据结构与算法 · 计算机科学 2019-04-11 Moustafa Nakechbandi , Jean-Yves Colin , Hervé Mathieu

The minimum spanning tree, based on the concept of ultrametricity, is constructed from the correlation matrix of stock returns and provides a meaningful economic taxonomy of the stock market. In order to study the dynamics of this asset…

统计力学 · 物理学 2009-11-07 J. -P. Onnela , A. Chakraborti , K. Kaski , J. Kertesz

Technical trading rules and linear regressive models are often used by practitioners to find trends in financial data. However, these models are unsuited to find non-linearly separable patterns. We propose a decision tree forecasting model…

应用统计 · 统计学 2017-04-17 Lucas Fievet , Didier Sornette

The study and measurement of economic resilience is ruled by high level of complexity related to the diverse structure, functionality, spatiality, and dynamics describing economic systems. Towards serving the demand of integration, this…

综合经济学 · 经济学 2022-02-18 Dimitrios Tsiotas

Financial networks are typically estimated by applying standard time series analyses to price-based economic variables collected at low-frequency (e.g., daily or monthly stock returns or realized volatility). These networks are used for…

统计金融 · 定量金融 2022-08-09 Kara Karpman , Sumanta Basu , David Easley

We empirically investigated the effects of market factors on the information flow created from N(N-1)/2 linkage relationships among stocks. We also examined the possibility of employing the minimal spanning tree (MST) method, which is…

统计金融 · 定量金融 2015-05-13 Cheoljun Eom , Okyu Kwon , Woo-Sung Jung , Seunghwan Kim

Bounded-angle (minimum) spanning trees were first introduced in the context of wireless networks with directional antennas. They are reminiscent of bounded-degree spanning trees, which have received significant attention. Let $P =…

计算几何 · 计算机科学 2020-10-23 Stav Ashur , Matthew J. Katz

About two million U.S. corporations and partnerships are linked to each other and human investors by about 15 million owner-subsidiary links. Comparable social networks such as corporate board memberships and socially-built systems such as…

综合经济学 · 经济学 2024-01-23 Ben Klemens

Financial markets are interconnected, with micro-currents propagating across global markets and shaping economic trends. This paper moves beyond traditional stock market indices to examine cross-sectional return distributions-15 in our…

综合经济学 · 经济学 2025-11-27 Ping Wu , Dan Zhu

Minimum spanning trees (MSTs) are used in a variety of fields, from computer science to geography. Infectious disease researchers have used them to infer the transmission pathway of certain pathogens. However, these are often the MSTs of…

统计理论 · 数学 2021-05-13 Jonathan Larson , Jukka-Pekka Onnela

The paper applies some recent developments of network analysis in order to perform a comparative study of EU countries in relation with the fluctuations of some macroeconomic indicators. The statistical distances between countries,…

物理与社会 · 物理学 2007-05-23 Mircea Gligor , Marcel Ausloos

The global structure of the minimal spanning tree (MST) is expected to be universal for a large class of underlying random discrete structures. However, very little is known about the intrinsic geometry of MSTs of most standard models, and…

概率论 · 数学 2021-06-01 Louigi Addario-Berry , Sanchayan Sen

The credit crisis roiling the world's financial markets will likely take years and entire careers to fully understand and analyze. A short empirical investigation of the current trends, however, demonstrates that the losses in certain…

统计金融 · 定量金融 2015-05-13 Reginald D. Smith

A linear link between S&P 500 return and the change rate of the number of nine-year-olds in the USA has been found. The return is represented by a sum of monthly returns during previous twelve months. The change rate of the specific age…

统计金融 · 定量金融 2008-12-10 Ivan O. Kitov , Oleg I. Kitov

Given an undirected, weighted graph, the minimum spanning tree (MST) is a tree that connects all of the vertices of the graph with minimum sum of edge weights. In real world applications, network designers often seek to quickly find a…

数据结构与算法 · 计算机科学 2023-01-02 David A. Bader , Paul Burkhardt