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The area of high-dimensional statistics deals with estimation in the "large p, small n" setting, where p and n corre-spond, respectively, to the dimensionality of the data and the sample size. Such high-dimensionalproblems arise in a variety of applications, among them remote sensing, computational biology and natural language processing, where
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Departments of Statistics and Electrical Engineering and Computer Sciences ... 367 Evans Hall #3860 • Berkeley, CA 94720. phone: 510-642-2781 • fax: 510-642-7892 • [email protected]. Welcome. I'm Bin Yu, the head of the Yu Group at ... UC Berkeley to lead $10M NSF/Simons Foundation program to investigate theoretical underpinnings …
arXiv:0807.3719v1 [stat.ML] 23 Jul 2008 Data Spectroscopy: Eigenspace of Convolution Operators and Clustering Tao Shi∗, Mikhail Belkin† and Bin Yu‡ The Ohio State University∗† and University of California, Berkeley‡ Abstract: This paper focuses on obtaining clustering information in a dis-tribution when iid data are given.
Amongst the 36 spectral radiances available on the Moderate Resolution Imag-ing Spectroradiometer (MODIS) seven of them are used operationally for detection of ... ∗Department of Statistics, The Ohio State University, Columbus, OH 43210-1247. Email: ... University of California, Berkeley, CA 94720-3860. Email: [email protected]
Statistics at UC Berkeley. We are a community engaged in research and education in probability and statistics. In addition to developing fundamental theory and methodology, we are actively involved in statistical problems that arise in such diverse fields as molecular biology, geophysics, astronomy, AIDS research, neurophysiology, sociology ...
The area of high-dimensional statistics deals with estimation in the "large p, small n" setting, where p and n corre-spond, respectively, to the dimensionality of the data and the sample size. Such high-dimensionalproblems arise in a variety of applications, among them remote sensing, computational biology and natural language processing, where
Department of EECS1 Department of CS2 Department of Statistics3 UC Berkeley UT Austin UC Berkeley October 2010 Abstract High-dimensional statistical inference deals with models in which the the number of parame-ters p is comparable to or larger than the sample size n. Since it is usually impossible to obtain
https://binyu.stat.berkeley.edu. Office / Location. 409 Evans Hall. Phone (510) 642-2021. Email. [email protected]. Research Expertise and Interests. statistical inference for high dimensional data and interdisciplinary research in neuroscience, remote sensing, and text summarization. ... (boosting and lasso), and spectral clustering). ...
1768 A. JOSEPH AND B. YU Algorithm 1 The RSC-τ Algorithm [2] Input: Laplacian matrix Lτ. Step 1: Compute the n×K eigenvector matrix Vτ. Step 2: Use the K-means algorithm to cluster the rows of Vτ into K clusters. Regularization is introduced in the following way: Let J be a constant matrix with all entries equal to 1/n.Then, in regularized spectral clustering …
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Verma and Meila [17]. A discussion of some limitations of spectral cluster-ing can be found in Nadler and Galun [7]. A theoretical analysis of statis-tical consistency of different types of spectral clustering is provided in von Luxburg, et al [19]. Similarly to spectral clustering methods, Kernel Principal Component
spectral clustering has many similarities with the nonlinear dimension reduction or manifold learning techniques such as Diffusion maps and Laplacian eigenmaps [Coifman et al. (2005), Belkin and Niyogi (2003)]. The normalized graph Laplacian L is an essential part of spectral clustering, Diffusion maps and Laplacian eigenmaps.
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the intuitions underlying existing spectral techniques such as spectral clustering and Kernel Principal Components Analysis, and provide new understanding into their usability and modes of failure. Simu-lation studies and experiments on real-world data are conducted to show the potential of our algorithm. In particular, DaSpec is found
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Berkeley, CA 94720-1776 USA e-mail: [email protected] [email protected] [email protected] [email protected] Abstract: Given i.i.d. observations of a random vector X ∈ Rp, we study the problem of estimating both its covariance matrix Σ∗, and its inverse covariance or concentration …
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