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The probabilistic principal component analysis (PPCA) is built upon a global linear mapping, with which it is insufficient to model complex data variation. This paper proposes a mixture of bilateral-projection probabilistic principal…

Computer Vision and Pattern Recognition · Computer Science 2016-01-08 Fujiao Ju , Yanfeng Sun , Junbin Gao , Simeng Liu , Yongli Hu

Biclustering numerical data became a popular data-mining task in the beginning of 2000's, especially for analysing gene expression data. A bicluster reflects a strong association between a subset of objects and a subset of attributes in a…

Data Structures and Algorithms · Computer Science 2011-11-15 Mehdi Kaytoue , Sergei O. Kuznetsov , Juraj Macko , Wagner Meira , Amedeo Napoli

In recent decades, trade between nations has constituted an important component of global Gross Domestic Product (GDP), with official estimates showing that it likely accounted for a quarter of total global production. While evidence of…

General Economics · Economics 2022-11-24 Mayank Kejriwal , Yuesheng Luo

We develop a machine-learning-based method, Principal Smooth-Dynamics Analysis (PriSDA), to identify patterns in economic development and to automate the development of new theory of economic dynamics. Traditionally, economic growth is…

Physics and Society · Physics 2018-12-11 Charles D. Brummitt , Andres Gomez-Lievano , Ricardo Hausmann , Matthew H. Bonds

Empirical growth analysis has three major problems --- variable selection, parameter heterogeneity and cross-sectional dependence --- which are addressed independently from each other in most studies. The purpose of this study is to propose…

Econometrics · Economics 2019-03-20 Guohua Feng , Jiti Gao , Bin Peng

Multiview canonical correlation analysis (MCCA) seeks latent low-dimensional representations encountered with multiview data of shared entities (a.k.a. common sources). However, existing MCCA approaches do not exploit the geometry of the…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Jia Chen , Gang Wang , Georgios B. Giannakis

Canonical correlation analysis (CCA) has become a key tool for population neuroimaging, allowing investigation of associations between many imaging and non-imaging measurements. As other variables are often a source of variability not of…

Methodology · Statistics 2024-01-09 Anderson M. Winkler , Olivier Renaud , Stephen M. Smith , Thomas E. Nichols

Continuum Approximation (CA) is an efficient and parsimonious technique for modeling complex logistics problems. In this paper,we review recent studies that develop CA models for transportation, distribution and logistics problems with the…

Optimization and Control · Mathematics 2017-06-20 Sina Ansari , Mehmet Basdere , Xiaopeng Li , Yanfeng Ouyang , Karen Smilowitz

Devising strategies for economic development in a globally competitive landscape requires a solid and unbiased understanding of countries technological advancements and similarities among export products. Both can be addressed through the…

Physics and Society · Physics 2017-09-01 Mika J. Straka , Guido Caldarelli , Fabio Saracco

We calculate measures of economic complexity for US metropolitan areas for the years 2007-2015 based on industry employment data. We show that the concept of economic complexity translates well from the cross-country to the regional…

General Economics · Economics 2021-04-14 Benedikt S. L. Fritz , Robert A. Manduca

In this paper linear canonical correlation analysis (LCCA) is generalized by applying a structured transform to the joint probability distribution of the considered pair of random vectors, i.e., a transformation of the joint probability…

Methodology · Statistics 2015-06-03 Koby Todros , Alfred O. Hero

Complexity measures are essential to understand complex systems and there are numerous definitions to analyze one-dimensional data. However, extensions of these approaches to two or higher-dimensional data, such as images, are much less…

Data Analysis, Statistics and Probability · Physics 2012-12-27 H. V. Ribeiro , L. Zunino , E. K. Lenzi , P. A. Santoro , R. S. Mendes

In this paper we analyze the bipartite network of countries and products from UN data on country production. We define the country-country and product-product projected networks and introduce a novel method of filtering information based on…

The best way to model, understand, and quantify the information contained in complex systems is an open question in physics, mathematics, and computer science. The uncertain relationship between entropy and complexity further complicates…

Machine Learning · Computer Science 2022-11-10 Stephen Casey

Formal Concept Analysis and its associated conceptual structures have been used to support exploratory search through conceptual navigation. Relational Concept Analysis (RCA) is an extension of Formal Concept Analysis to process relational…

Databases · Computer Science 2018-03-22 Alexandre Bazin , Jessie Carbonnel , Marianne Huchard , Giacomo Kahn

This paper discusses serious drawbacks of existing knowledge in macroeconomics and finance in explaining and predicting economic and financial phenomena. Complexity science is proposed as an alternative approach to be used in order to…

General Economics · Economics 2022-01-03 Thitithep Sitthiyot

Modern vision pipelines increasingly rely on pretrained image encoders whose representations are reused across tasks and models, yet these representations are often overcomplete and model-specific. We propose a simple, training-free method…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Dylan B. Lewis , Jens Gregor , Hector Santos-Villalobos

Principal Component Analysis (PCA) is a powerful and popular dimensionality reduction technique. However, due to its linear nature, it often fails to capture the complex underlying structure of real-world data. While Kernel PCA (kPCA)…

Machine Learning · Computer Science 2026-02-05 Thomas Uriot , Elise Chung

This paper constructs a global economic policy uncertainty index through the principal component analysis of the economic policy uncertainty indices for twenty primary economies around the world. We find that the PCA-based global economic…

General Economics · Economics 2022-08-23 Peng-Fei Dai , Xiong Xiong , Wei-Xing Zhou

We propose a new technique, Singular Vector Canonical Correlation Analysis (SVCCA), a tool for quickly comparing two representations in a way that is both invariant to affine transform (allowing comparison between different layers and…

Machine Learning · Statistics 2017-11-09 Maithra Raghu , Justin Gilmer , Jason Yosinski , Jascha Sohl-Dickstein
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