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Unsupervised manifold learning of collective behavior. [PDF]

open access: yesPLoS Computational Biology, 2021
Collective behavior is an emergent property of numerous complex systems, from financial markets to cancer cells to predator-prey ecological systems. Characterizing modes of collective behavior is often done through human observation, training generative ...
Mathew Titus   +2 more
doaj   +2 more sources

Multiscale Manifold Learning

open access: yesProceedings of the AAAI Conference on Artificial Intelligence, 2013
Many high-dimensional data sets that lie on a low-dimensional manifold exhibit nontrivial regularities at multiple scales. Most work in manifold learning ignores this multiscale structure.
Wang, Chang, Mahadevan, Sridhar
core   +2 more sources

Manifold Learning for Robot Navigation

open access: yesInternational Journal of Neural Systems, 2006
In this paper we introduce methods to build a SOM that can be used as an isometric map for mobile robots. That is, given a dataset of sensor readings collected at points uniformly distributed with respect to the ground, we wish to build a SOM whose ...
Keeratipranon, Narongdech   +2 more
core   +4 more sources

Multi-view manifold learning with locality alignment

open access: yesPattern Recognition, 2018
© 2018 Elsevier Ltd Manifold learning aims to discover the low dimensional space where the input high dimensional data are embedded by preserving the geometric structure.
Xinge You, Shujian Yu, Chang Xu
exaly   +2 more sources

On Manifold Learning in Plato's Cave: Remarks on Manifold Learning and Physical Phenomena. [PDF]

open access: yesInt Conf Sampl Theory Appl SampTA, 2023
Many techniques in machine learning attempt explicitly or implicitly to infer a low-dimensional manifold structure of an underlying physical phenomenon from measurements without an explicit model of the phenomenon or the measurement apparatus. This paper presents a cautionary tale regarding the discrepancy between the geometry of measurements and the ...
Lederman RR, Toader B.
europepmc   +4 more sources

The Impact of Supervised Manifold Learning on Structure Preserving and Classification Error: A Theoretical Study

open access: yesIEEE Access, 2021
In recent years, a variety of supervised manifold learning techniques have been proposed to outperform their unsupervised alternative versions in terms of classification accuracy and data structure capturing. Some dissimilarity measures have been used in
Laureta Hajderanj   +2 more
doaj   +1 more source

Neural excursions from manifold structure explain patterns of learning during human sensorimotor adaptation

open access: yeseLife, 2022
Humans vary greatly in their motor learning abilities, yet little is known about the neural mechanisms that underlie this variability. Recent neuroimaging and electrophysiological studies demonstrate that large-scale neural dynamics inhabit a low ...
Corson Areshenkoff   +5 more
doaj   +1 more source

Manifold Learning with Arbitrary Norms [PDF]

open access: yesJournal of Fourier Analysis and Applications, 2021
Manifold learning methods play a prominent role in nonlinear dimensionality reduction and other tasks involving high-dimensional data sets with low intrinsic dimensionality. Many of these methods are graph-based: they associate a vertex with each data point and a weighted edge with each pair. Existing theory shows that the Laplacian matrix of the graph
Joe Kileel   +3 more
openaire   +3 more sources

Using manifold learning for atlas selection in multi-atlas segmentation. [PDF]

open access: yesPLoS ONE, 2013
Multi-atlas segmentation has been widely used to segment various anatomical structures. The success of this technique partly relies on the selection of atlases that are best mapped to a new target image after registration. Recently, manifold learning has
Albert K Hoang Duc   +7 more
doaj   +1 more source

Label Propagation Algorithm for Intersecting Multi-manifolds Clustering [PDF]

open access: yesJisuanji gongcheng, 2023
The classical manifold learning algorithm assumes that the sample data is located on a high-dimensional single manifold;however,the real data in real life is located on a high-dimensional multi-manifold,and these data often overlap,resulting in poor ...
GAO Xiaofang, YUAN Yuliang, WEN Jing, BAI Xuefei
doaj   +1 more source

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