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Large graphs are natural mathematical models for describing the structure of the data in a wide variety of fields, such as web mining, social networks, information retrieval, biological networks, etc. For all these applications, automatic…

Applications · Statistics 2008-01-08 Romain Boulet , Bertrand Jouve , Fabrice Rossi , Nathalie Villa

We present an automatic, fast, accurate and robust method of classifying astronomical objects. The Self Organizing Map (SOM) as an unsupervised Artificial Neural Network (ANN) algorithm is used for classification of stellar spectra of…

Data Analysis, Statistics and Probability · Physics 2011-08-03 Bazarghan Mahdi

This work describes the implementation and application of a correlation determination method based on Self Organizing Maps and Bayesian Inference (SOMBI). SOMBI aims to automatically identify relations between different observed parameters…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-02 Philipp Frank , Jens Jasche , Torsten A. Enßlin

This work presents a mathematical treatment of the relation between Self-Organizing Maps (SOMs) and Gaussian Mixture Models (GMMs). We show that energy-based SOM models can be interpreted as performing gradient descent, minimizing an…

Machine Learning · Computer Science 2020-09-25 Alexander Gepperth , Benedikt Pfülb

In the recent years, there is a growing interest in semi-supervised learning, since, in many learning tasks, there is a plentiful supply of unlabeled data, but insufficient labeled ones. Hence, Semi-Supervised learning models can benefit…

Machine Learning · Computer Science 2020-03-27 Pedro H. M. Braga , Hansenclever F. Bassani

We introduce a new Self-Organized Criticality (SOC) model for simulating price evolution in an artificial financial market, based on a multilayer network of traders. The model also implements, in a quite realistic way with respect to…

Trading and Market Microstructure · Quantitative Finance 2016-06-30 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

In several environmental applications data are functions of time, essentially con- tinuous, observed and recorded discretely, and spatially correlated. Most of the methods for analyzing such data are extensions of spatial statistical tools…

Methodology · Statistics 2011-06-28 Elvira Romano , Antonio Balzanella , Rosanna Verde

Many data analysis methods cannot be applied to data that are not represented by a fixed number of real values, whereas most of real world observations are not readily available in such a format. Vector based data analysis methods have…

Neural and Evolutionary Computing · Computer Science 2007-09-25 Aïcha El Golli , Fabrice Rossi , Brieuc Conan-Guez , Yves Lechevallier

We describe the application of Semantic Segmentation by using the Self Organizing Map technique to an high spatial and spectral resolution dataset acquired along the H$\alpha$ line at 656.28 nm by the Interferometric Bi-dimensional…

Solar and Stellar Astrophysics · Physics 2021-04-21 Schillirò Francesco , Romano Paolo

This paper introduces a new correction scheme to a conventional regression-based event study method: a topological machine-learning approach with a self-organizing map (SOM).We use this new scheme to analyze a major market event in Japan…

General Economics · Economics 2019-05-17 Takashi Yamashita , Ryozo Miura

We present a systematic algorithm testing for the existence of collective self-organization in the behavior of agents in social systems, with a concrete empirical implementation on the Dow Jones Industrial Average index (DJIA) over the 20th…

Statistical Mechanics · Physics 2008-12-10 D. Sornette , W. -X. Zhou

A methodology is developed to identify, as units of study, each decrease in the value of a stock from a given maximum price level. A critical level in the amount of price declines is found to separate a segment operating under a random walk…

Statistical Finance · Quantitative Finance 2017-03-28 Leopoldo Sánchez-Cantú , Carlos Arturo Soto-Campos , Andriy Kryvko

Understanding the global organization of complicated and high dimensional data is of primary interest for many branches of applied sciences. It is typically achieved by applying dimensionality reduction techniques mapping the considered…

Computational Geometry · Computer Science 2024-11-11 Paweł Dłotko , Davide Gurnari , Mathis Hallier , Anna Jurek-Loughrey

This paper investigates the dynamics of in the S&P500 index from daily returns for the last 30 years. Using a stochastic geometry technique, each S&P500 yearly batch of data is embedded in a subspace that can be accurately described by a…

Statistical Mechanics · Physics 2016-08-16 Tanya Araújo , Francisco Louçã

Time-series of satellite images may reveal important data about changes in environmental conditions and natural or urban landscape structures that are of potential interest to citizens, historians, or policymakers. We applied a fast method…

Computers and Society · Computer Science 2018-03-30 John M. Wandeto , Henry O. Nyongesa , Birgitta Dresp-Langley

The use of intelligent systems for stock market predictions has been widely established. In this paper, we investigate how the seemingly chaotic behavior of stock markets could be well represented using several connectionist paradigms and…

Artificial Intelligence · Computer Science 2007-05-23 Ajith Abraham , Ninan Sajith Philip , P. Saratchandran

Building on topological data analysis and expert knowledge, this study introduces a Mapper-based approach to cluster agents based on their tendency to be influenced by information spread. The context of our paper is financial markets with…

Methodology · Statistics 2025-04-02 Anubha Goel , Henri Hansen , Juho Kanniainen

We quantify the amount of information filtered by different hierarchical clustering methods on correlations between stock returns comparing it with the underlying industrial activity structure. Specifically, we apply, for the first time to…

Statistical Finance · Quantitative Finance 2023-07-19 Nicolo Musmeci , Tomaso Aste , Tiziana Di Matteo

How do analysts think about grouping and spatial operations? This overarching question incorporates a number of points for investigation, including understanding how analysts begin to explore a dataset, the types of grouping/spatial…

Human-Computer Interaction · Computer Science 2020-08-24 John Wenskovitch , Chris North

Graphs have become increasingly popular in modeling structures and interactions in a wide variety of problems during the last decade. Graph-based clustering and semi-supervised classification techniques have shown impressive performance.…

Machine Learning · Computer Science 2020-09-01 Zhao Kang , Chong Peng , Qiang Cheng , Xinwang Liu , Xi Peng , Zenglin Xu , Ling Tian