High-dimensional brain in a high-dimensional world: Blessing of dimensionality

AN Gorban, VA Makarov, IY Tyukin - Entropy, 2020 - mdpi.com
High-dimensional data and high-dimensional representations of reality are inherent features
of modern Artificial Intelligence systems and applications of machine learning. The well …

[PDF][PDF] Introduction to partitioning-based clustering methods with a robust example

S Äyrämö, T Kärkkäinen - Reports of the Department of Mathematical …, 2006 - jyx.jyu.fi
Data clustering is an unsupervised data analysis and data mining technique, which offers
refined and more abstract views to the inherent structure of a data set by partitioning it into a …

Applications of linear and nonlinear models

EW Grafarend, J Awange - Fixed Effects, 2012 - Springer
With the introductory paragraph, we explain the fundamental concepts and basic notions of
this section. For you, the analyst, who has the difficult task to deal with measurements …

Personal identification using a robust eigen ECG network based on time-frequency representations of ECG signals

JN Lee, KC Kwak - IEEE access, 2019 - ieeexplore.ieee.org
This paper is concerned with personal identification using a robust EigenECG network
(REECGNet) based on time-frequency representations of electrocardiogram (ECG) signals …

Convergence analysis of generalized iteratively reweighted least squares algorithms on convex function spaces

N Bissantz, L Dümbgen, A Munk, B Stratmann - SIAM Journal on Optimization, 2009 - SIAM
The computation of robust regression estimates often relies on minimization of a convex
functional on a convex set. In this paper we discuss a general technique for a large class of …

A comparison between two robust PCA algorithms

I Stanimirova, B Walczak, DL Massart… - … and Intelligent Laboratory …, 2004 - Elsevier
The article reports the results of a comparative study of two robust Principal Component
Analysis (PCA) algorithms based on Projection Pursuit which can be used for exploratory …

[图书][B] Knowledge mining using robust clustering

S Äyrämö - 2006 - jyx.jyu.fi
This work is devoted to the development of scalable and robust algorithms for data mining
and knowledge discovery problems. The main interest lies in so-called prototype-based …

[HTML][HTML] The affine equivariant sign covariance matrix: asymptotic behavior and efficiencies

E Ollila, H Oja, C Croux - Journal of Multivariate Analysis, 2003 - Elsevier
We consider the affine equivariant sign covariance matrix (SCM) introduced by Visuri et
al.(J. Statist. Plann. Inference 91 (2000) 557). The population SCM is shown to be …

The smoothed median and the bootstrap

BM Brown, P Hall, GA Young - Biometrika, 2001 - academic.oup.com
Even in one dimension the sample median exhibits very poor performance when used in
conjunction with the bootstrap. For example, both the percentile‐t bootstrap and the …

A Mathematical Framework for the Problem of Security for Cognition in Neurotechnology

BA Bagley - arXiv preprint arXiv:2403.07945, 2024 - arxiv.org
The rapid advancement in neurotechnology in recent years has created an emerging critical
intersection between neurotechnology and security. Implantable devices, non-invasive …