Metricizing the Euclidean space towards desired distance relations in point clouds

S Rass, S König, S Ahmad… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
… to Euclidean distances of points placed in some (possibly high-dimensional) space. …
quadratic form qh on the higherdimensional space Rh. The resulting norm ∥x∥q := √qh(x) …

Various dimension reduction techniques for high dimensional data analysis: a review

P Ray, SS Reddy, T Banerjee - Artificial Intelligence Review, 2021 - Springer
effective method for satisfactory analysis of high dimensional … manifolds, the Euclidian
distance between the vertices … , the shortest distance known as geodesic distance is introduced …

Euclidean distance based feature ranking and subset selection for bearing fault diagnosis

SP Patel, SH Upadhyay - Expert Systems with Applications, 2020 - Elsevier
… So, this paper presents a unique feature ordering and selection technique called Feature
Ranking and Subset Selection based on Euclidean distance (FRSSED). Two bearing …

A comprehensive survey of anomaly detection techniques for high dimensional big data

S Thudumu, P Branch, J Jin, J Singh - Journal of Big Data, 2020 - Springer
high dimensionality that fail to retain the effectiveness of … for high dimensionality data sets
unless the runtime is improved. Nevertheless, Euclidean distance is the most common distance

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

AN Gorban, VA Makarov, IY Tyukin - Entropy, 2020 - mdpi.com
… We applied PCA to reduce the dimension and analyzed how the effectiveness of … Euclidean
distances between the centroids of the clusters and their data points, and ρ be the distance

Overview and comparative study of dimensionality reduction techniques for high dimensional data

S Ayesha, MK Hanif, R Talib - Information Fusion, 2020 - Elsevier
… Experimental results showed the effectiveness of GLPP for … efficiency of feature extraction
in computer vision applications. SOLPP and NL-SOLPP achieved higher recognition efficiency

Hyperml: A boosting metric learning approach in hyperbolic space for recommender systems

L Vinh Tran, Y Tay, S Zhang, G Cong, X Li - Proceedings of the 13th …, 2020 - dl.acm.org
… When c → 0, we recover the Euclidean distance since we … In other words, hyperbolic space
resembles Euclidean as it … the effectiveness of HyperML over other baselines in Euclidean

Hyperbolic image embeddings

V Khrulkov, L Mirvakhabova… - Proceedings of the …, 2020 - openaccess.thecvf.com
… For image datasets we measured the Euclidean distance between the features produced by
… Thus, we can compute the effective value of δrel for the Poincaré ball. For the clipping value …

Re-examining linear embeddings for high-dimensional Bayesian optimization

B Letham, R Calandra, A Rai… - Advances in neural …, 2020 - proceedings.neurips.cc
… to scale to highdimensional parameter spaces while retaining sample efficiency. A solution
… This kernel replaces the ARD Euclidean distance with a Mahalanobis distance, and so we …

[图书][B] High-dimensional data analysis with low-dimensional models: Principles, computation, and applications

J Wright, Y Ma - 2022 - books.google.com
… 7 to learn effectiveeffective methods for solving optimization problems – convex or not –
at scale; that is, involving possibly millions of decision variables and a possibly equally large