A tutorial on spectral clustering

U Von Luxburg - Statistics and computing, 2007 - Springer
In recent years, spectral clustering has become one of the most popular modern clustering
algorithms. It is simple to implement, can be solved efficiently by standard linear algebra …

Semi-supervised learning literature survey

XJ Zhu - 2005 - minds.wisconsin.edu
We review some of the literature on semi-supervised learning in this paper. Traditional
classifiers need labeled data (feature/label pairs) to train. Labeled instances however are …

Neural operator: Learning maps between function spaces with applications to pdes

N Kovachki, Z Li, B Liu, K Azizzadenesheli… - Journal of Machine …, 2023 - jmlr.org
The classical development of neural networks has primarily focused on learning mappings
between finite dimensional Euclidean spaces or finite sets. We propose a generalization of …

Weisfeiler and leman go machine learning: The story so far

C Morris, Y Lipman, H Maron, B Rieck… - The Journal of Machine …, 2023 - dl.acm.org
In recent years, algorithms and neural architectures based on the Weisfeiler-Leman
algorithm, a well-known heuristic for the graph isomorphism problem, have emerged as a …

Not too little, not too much: a theoretical analysis of graph (over) smoothing

N Keriven - Advances in Neural Information Processing …, 2022 - proceedings.neurips.cc
We analyze graph smoothing with mean aggregation, where each node successively
receives the average of the features of its neighbors. Indeed, it has quickly been observed …

Co-regularized multi-view spectral clustering

A Kumar, P Rai, H Daume - Advances in neural information …, 2011 - proceedings.neurips.cc
In many clustering problems, we have access to multiple views of the data each of which
could be individually used for clustering. Exploiting information from multiple views, one can …

[图书][B] Statistical foundations of data science

J Fan, R Li, CH Zhang, H Zou - 2020 - taylorfrancis.com
Statistical Foundations of Data Science gives a thorough introduction to commonly used
statistical models, contemporary statistical machine learning techniques and algorithms …

[图书][B] Introduction to semi-supervised learning

X Zhu, AB Goldberg - 2022 - books.google.com
Semi-supervised learning is a learning paradigm concerned with the study of how
computers and natural systems such as humans learn in the presence of both labeled and …

[PDF][PDF] A co-training approach for multi-view spectral clustering

A Kumar, H Daumé - … of the 28th international conference on …, 2011 - users.umiacs.umd.edu
We propose a spectral clustering algorithm for the multi-view setting where we have access
to multiple views of the data, each of which can be independently used for clustering. Our …

Error estimates for spectral convergence of the graph Laplacian on random geometric graphs toward the Laplace–Beltrami operator

N García Trillos, M Gerlach, M Hein… - Foundations of …, 2020 - Springer
We study the convergence of the graph Laplacian of a random geometric graph generated
by an iid sample from am-dimensional submanifold MM in R^ d R d as the sample size n …