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Generalized principal component analysis (GLM-PCA) facilitates dimension reduction of non-normally distributed data. We provide a detailed derivation of GLM-PCA with a focus on optimization. We also demonstrate how to incorporate…

Machine Learning · Computer Science 2019-07-08 F. William Townes

Academic performance of any individual is dependent upon numerous aspects regarding the day to day life of the individual under consideration. Academic performance is measured in terms of the grade point average or GPA as it is called.…

Computers and Society · Computer Science 2018-06-11 Leena Khanna , Shailendra Narayan Singh , Mansaf Alam

The article analyzes the development of high-tech sectors of the Russian economy in the context of import substitution. Features of managing priority project portfolios are considered. Issues of creating a unified information space for…

Computers and Society · Computer Science 2024-10-07 S. E. Pyatovsky , N. S. Efimova , E. V. Surkova

A methodology is presented to rank universities on the basis of the lists of programmes the students applied for. We exploit a crucial feature of the centralised assignment system to higher education in Hungary: a student is admitted to the…

Applications · Statistics 2020-05-28 László Csató , Csaba Tóth

Outliers contaminating data sets are a challenge to statistical estimators. Even a small fraction of outlying observations can heavily influence most classical statistical methods. In this paper we propose generalized spherical principal…

Methodology · Statistics 2023-03-13 Sarah Leyder , Jakob Raymaekers , Tim Verdonck

This paper introduces a novel goodness-of-fit test technique for parametric conditional distributions. The proposed tests are based on a residual marked empirical process, for which we develop a conditional Principal Component Analysis. The…

Econometrics · Economics 2025-06-18 Cui Rui , Li Yuhao

The work applies the funnel plot methodology to measure and visualize uncertainty in the research performance of Italian universities in the science disciplines. The performance assessment is carried out at both discipline and overall…

Digital Libraries · Computer Science 2018-10-31 Giovanni Abramo , Ciriaco Andrea D'Angelo , Leonardo Grilli

Principal component analysis continues to be a powerful tool in dimension reduction of high dimensional data. We assume a variance-diverging model and use the high-dimension, low-sample-size asymptotics to show that even though the…

Statistics Theory · Mathematics 2020-09-28 Sungkyu Jung

In dimensionality reduction problems, the adopted technique may produce disparities between the representation errors of different groups. For instance, in the projected space, a specific class can be better represented in comparison with…

Machine Learning · Computer Science 2022-10-04 Guilherme D. Pelegrina , Renan D. B. Brotto , Leonardo T. Duarte , Romis Attux , João M. T. Romano

Conventional principal component analysis (PCA) finds a principal vector that maximizes the sum of second powers of principal components. We consider a generalized PCA that aims at maximizing the sum of an arbitrary convex function of…

Machine Learning · Computer Science 2019-11-19 Samuele Battaglino , Erdem Koyuncu

Improving students academic performance is not an easy task for the academic community of higher learning. The academic performance of engineering and science students during their first year at university is a turning point in their…

Machine Learning · Computer Science 2012-11-28 Md. Hedayetul Islam Shovon , Mahfuza Haque

Motivation: Although principal component analysis is frequently applied to reduce the dimensionality of matrix data, the method is sensitive to noise and bias and has difficulty with comparability and interpretation. These issues are…

Methodology · Statistics 2012-12-27 Tomokazu Konishi

The web application presented in this paper allows for an analysis to reveal centres of excellence in different fields worldwide using publication and citation data. Only specific aspects of institutional performance are taken into account…

Digital Libraries · Computer Science 2013-07-25 Lutz Bornmann , Moritz Stefaner , Felix de Moya Anegon , Ruediger Mutz

One of the unintended consequences of the New Public Management (NPM) in universities is often feared to be a division between elite institutions focused on research and large institutions with teaching missions. However, institutional…

Physics and Society · Physics 2010-01-19 Willem Halffman , Loet Leydesdorff

Higher education systems in competitive environments generally present top universities, that are able to attract top scientists, top students and public and private financing, with notable socio-economic benefits in their region. The same…

Digital Libraries · Computer Science 2018-11-06 Giovanni Abramo , Tindaro Cicero , Ciriaco Andrea D'Angelo

Principal component analysis (PCA) is a standard dimensionality reduction technique used in various research and applied fields. From an algorithmic point of view, classical PCA can be formulated in terms of operations on a multivariate…

Methodology · Statistics 2022-11-08 Ayisha Fayomi , Yannis Pantazis , Michail Tsagris , Andrew T. A. Wood

Network analysis has emerged as a key technique in communication studies, economics, geography, history and sociology, among others. A fundamental issue is how to identify key nodes, for which purpose a number of centrality measures have…

Social and Information Networks · Computer Science 2018-01-08 László Csató

In a university, research assessments are organized at different policy levels (faculties, research council) in different contexts (funding, council membership, personnel evaluations). Each evaluation requires its own focus and methodology.…

Digital Libraries · Computer Science 2013-07-26 Nadine Rons

The world's collective knowledge is evolving through research and new scientific discoveries. It is becoming increasingly difficult to objectively rank the impact research institutes have on global advancements. However, since the funding,…

Machine Learning · Computer Science 2020-12-25 Vlad Sandulescu , Mihai Chiru

We propose a new method to impute missing values in mixed datasets. It is based on a principal components method, the factorial analysis for mixed data, which balances the influence of all the variables that are continuous and categorical…

Applications · Statistics 2013-02-20 Vincent Audigier , François Husson , Julie Josse