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Manifold learning: Laplacian Eigenmaps PowerPoint PPT Presentation

Manifold learning: Laplacian Eigenmaps - Local geometry derived from k-nearest neighbors ... M. Belkin, P. Niyogi. Neural Computation, June 2003; 15 (6):1373-1396. Key steps ...

Local geometry derived from k-nearest neighbors ... M. Belkin, P. Niyogi. Neural Computation, June 2003; 15 (6):1373-1396. Key steps ...

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Laplacian Eigenmaps for Dimensionality Reduction and Data Representation PowerPoint PPT Presentation

Laplacian Eigenmaps for Dimensionality Reduction and Data Representation - Embedding. An embedding is a representation of a topological object, manifold, graph, field, etc. in a certain space in such a way that its connectivity or algebraic ...

Embedding. An embedding is a representation of a topological object, manifold, graph, field, etc. in a certain space in such a way that its connectivity or algebraic ...

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Manifold learning: Laplacian Eigenmaps - Key steps Build the adjacency graph Choose the weights for edges in the graph Eigen-decomposition of the graph laplacian Form the low-dimensional embedding Step 1: ...

Key steps Build the adjacency graph Choose the weights for edges in the graph Eigen-decomposition of the graph laplacian Form the low-dimensional embedding Step 1: ...

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MDSteer: Steerable and Progressive Multidimensional Scaling PowerPoint PPT Presentation

MDSteer: Steerable and Progressive Multidimensional Scaling - [A Global Geometric Framework for Nonlinear Dimensionality Reduction. ... Laplacian Eigenmaps [Belkin 03] many other approaches. self-organizing maps [Kohonen 95] ...

[A Global Geometric Framework for Nonlinear Dimensionality Reduction. ... Laplacian Eigenmaps [Belkin 03] many other approaches. self-organizing maps [Kohonen 95] ...

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Dimensionality Reduction in Sensor Networks PowerPoint PPT Presentation

Dimensionality Reduction in Sensor Networks - [3] Misha Belkin and Partha Niyogi, 'Laplacian eigenmaps for dimensionality ... Application: Wireless Motion Detection Sensor Net ...

[3] Misha Belkin and Partha Niyogi, 'Laplacian eigenmaps for dimensionality ... Application: Wireless Motion Detection Sensor Net ...

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Partiview - Title: Slide 1 Author: dinoj Last modified by: dinoj Created Date: 10/9/2004 2:27:40 AM Document presentation format: Custom Company: UChicago Other titles

Title: Slide 1 Author: dinoj Last modified by: dinoj Created Date: 10/9/2004 2:27:40 AM Document presentation format: Custom Company: UChicago Other titles

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Manifold Learning Using Geodesic Entropic Graphs PowerPoint PPT Presentation

Manifold Learning Using Geodesic Entropic Graphs - From LS fit find: Intrinsic dimension estimate. Alpha-entropy estimate ( ) Ground truth: ... of entropic graphs,' IEEE Signal Processing Magazine, Sept 2002. ...

From LS fit find: Intrinsic dimension estimate. Alpha-entropy estimate ( ) Ground truth: ... of entropic graphs,' IEEE Signal Processing Magazine, Sept 2002. ...

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Spectral Methods for Dimensionality Reduction - Spectral Methods for Dimensionality Reduction

Spectral Methods for Dimensionality Reduction

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Entropic graphs: Applications PowerPoint PPT Presentation

Entropic graphs: Applications - From LS fit find: Intrinsic dimension estimate. Alpha-entropy estimate ... LS estimation ... entropic graphs,' IEEE Signal Processing Magazine, Sept 2002. ...

From LS fit find: Intrinsic dimension estimate. Alpha-entropy estimate ... LS estimation ... entropic graphs,' IEEE Signal Processing Magazine, Sept 2002. ...

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Neuroimaging Schizophrenia and Related Disorders PowerPoint PPT Presentation

Neuroimaging Schizophrenia and Related Disorders - Department of Psychiatry, and Surgical Planning Laboratory, MRI Division, ... tracts, which demonstrate anatomical connectivity by fibers of similar colors. ...

Department of Psychiatry, and Surgical Planning Laboratory, MRI Division, ... tracts, which demonstrate anatomical connectivity by fibers of similar colors. ...

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Large Graph Mining: Power Tools and a Practitioner PowerPoint PPT Presentation

Large Graph Mining: Power Tools and a Practitioner - Large Graph Mining: Power Tools and a Practitioner s Guide Christos Faloutsos Gary Miller Charalampos (Babis) Tsourakakis CMU

Large Graph Mining: Power Tools and a Practitioner s Guide Christos Faloutsos Gary Miller Charalampos (Babis) Tsourakakis CMU

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Using Manifold Structure for Partially Labeled Classification PowerPoint PPT Presentation

Using Manifold Structure for Partially Labeled Classification - Title: PowerPoint Presentation Author: Hui Li Last modified by: cw36 Created Date: 5/17/2005 7:36:42 PM Document presentation format: On-screen Show

Title: PowerPoint Presentation Author: Hui Li Last modified by: cw36 Created Date: 5/17/2005 7:36:42 PM Document presentation format: On-screen Show

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Large Graph Mining: Power Tools and a Practitioner - Large Graph Mining: Power Tools and a Practitioner s Guide Christos Faloutsos Gary Miller Charalampos (Babis) Tsourakakis CMU

Large Graph Mining: Power Tools and a Practitioner s Guide Christos Faloutsos Gary Miller Charalampos (Babis) Tsourakakis CMU

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Manifold learning: Nystroms method and a unified view PowerPoint PPT Presentation

Manifold learning: Nystroms method and a unified view - Manifold learning: Nystrom's method and a unified view. Jieping Ye ... It is originally proposed to approximate the solution of Fredholm integral equations: ...

Manifold learning: Nystrom's method and a unified view. Jieping Ye ... It is originally proposed to approximate the solution of Fredholm integral equations: ...

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TUTORIAL: Randomized Algorithms for Matrices and Massive Data Sets PowerPoint PPT Presentation

TUTORIAL: Randomized Algorithms for Matrices and Massive Data Sets - Title: Fast Monte-Carlo Algorithms for Matrix Multiplication Author: Petros Drineas Last modified by: Petros Drineas Created Date: 9/26/2001 6:00:28 PM

Title: Fast Monte-Carlo Algorithms for Matrix Multiplication Author: Petros Drineas Last modified by: Petros Drineas Created Date: 9/26/2001 6:00:28 PM

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Fast Monte Carlo Algorithms for Matrix Operations PowerPoint PPT Presentation

Fast Monte Carlo Algorithms for Matrix Operations - Fast Monte Carlo Algorithms for Matrix Operations & Massive Data Set Analysis Michael W. Mahoney Yale University Dept. of Mathematics http://cs-www.cs.yale.edu/homes ...

Fast Monte Carlo Algorithms for Matrix Operations & Massive Data Set Analysis Michael W. Mahoney Yale University Dept. of Mathematics http://cs-www.cs.yale.edu/homes ...

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Dimensionality Reduction for Data Mining - Techniques, Applications and Trends PowerPoint PPT Presentation

Dimensionality Reduction for Data Mining - Techniques, Applications and Trends - Dimensionality Reduction for Data Mining - Techniques, Applications and Trends Lei Yu Binghamton University Jieping Ye, Huan Liu Arizona State University

Dimensionality Reduction for Data Mining - Techniques, Applications and Trends Lei Yu Binghamton University Jieping Ye, Huan Liu Arizona State University

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Nonlinear Dimensionality Reduction Approach ISOMAP PowerPoint PPT Presentation

Nonlinear Dimensionality Reduction Approach ISOMAP - Only the geodesic distances reflect the true low-dimensional geometry of ... Estimating the geodesic distances between all pairs of points on the manifold by ...

Only the geodesic distances reflect the true low-dimensional geometry of ... Estimating the geodesic distances between all pairs of points on the manifold by ...

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Machine Learning in Computer Vision A Tutorial PowerPoint PPT Presentation

Machine Learning in Computer Vision A Tutorial - Machine Learning in Computer Vision A Tutorial Ajay Joshi, Anoop Cherian and Ravishankar Shivalingam Dept. of Computer Science, UMN ...

Machine Learning in Computer Vision A Tutorial Ajay Joshi, Anoop Cherian and Ravishankar Shivalingam Dept. of Computer Science, UMN ...

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A Survey on Distance Metric Learning Part 1 PowerPoint PPT Presentation

A Survey on Distance Metric Learning Part 1 - Lecture material shamelessly adapted/stolen from the following sources: Kilian Weinberger: ... semi-definiteness. Convex optimization problem. CONVEX. Two convex sets ...

Lecture material shamelessly adapted/stolen from the following sources: Kilian Weinberger: ... semi-definiteness. Convex optimization problem. CONVEX. Two convex sets ...

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Spectral Graph Theory and Ancestry in Genomewide Association Studies PowerPoint PPT Presentation

Spectral Graph Theory and Ancestry in Genomewide Association Studies - Spectral Graph Theory and Ancestry in Genome-wide Association Studies. Kathryn Roeder ... Final clustering corresponds to true ancestry remarkably well. ...

Spectral Graph Theory and Ancestry in Genome-wide Association Studies. Kathryn Roeder ... Final clustering corresponds to true ancestry remarkably well. ...

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Multiscale Analysis of Digital Data Bases Matrices PowerPoint PPT Presentation

Multiscale Analysis of Digital Data Bases Matrices - ... from any set of digital documents, from text to music to questionnaires. ... ( digital documents), where the dimension d could be very large, in the millions. ...

... from any set of digital documents, from text to music to questionnaires. ... ( digital documents), where the dimension d could be very large, in the millions. ...

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Problems with Isomap, LLE and other Nonlinear Dimensionality Reduction Techniques PowerPoint PPT Presentation

Problems with Isomap, LLE and other Nonlinear Dimensionality Reduction Techniques - Images by Lawrence Saul and Carrie Grimes (Is this guy wearing clothes? ... Carrie ... David Donoho and Carrie Grimes. Image manifolds which are isometric ...

Images by Lawrence Saul and Carrie Grimes (Is this guy wearing clothes? ... Carrie ... David Donoho and Carrie Grimes. Image manifolds which are isometric ...

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Three Algorithms for Nonlinear Dimensionality Reduction PowerPoint PPT Presentation

Three Algorithms for Nonlinear Dimensionality Reduction - Isomap (isometric mapping) A Global Geometric Framework for Nonlinear Dimensionality Reduction. Science, 292(22), 2319-2323, 2000. LLE (locally linear embedding) ...

Isomap (isometric mapping) A Global Geometric Framework for Nonlinear Dimensionality Reduction. Science, 292(22), 2319-2323, 2000. LLE (locally linear embedding) ...

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Manifold Harmonics: Laplacian Eigenfunctions for Computer Graphics - Manifold Harmonics: Laplacian Eigenfunctions for Computer Graphics

Manifold Harmonics: Laplacian Eigenfunctions for Computer Graphics

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TUTORIAL: Randomized Algorithms for Matrices and Massive Data Sets - Algorithm has access to the data via a pass over the data. ... is not known in advance, can select one element u.a.r. in one pass over the data. ...

Algorithm has access to the data via a pass over the data. ... is not known in advance, can select one element u.a.r. in one pass over the data. ...

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Component Separation - Component Separation

Component Separation

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Learning Riemannian metrics for motion classification PowerPoint PPT Presentation

Learning Riemannian metrics for motion classification - Young researcher in Milan with the Image and Sound Processing group ... for instance, each image sequence can be mapped to an ARMA, or AR linear model ...

Young researcher in Milan with the Image and Sound Processing group ... for instance, each image sequence can be mapped to an ARMA, or AR linear model ...

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Large Graph Mining: Power Tools and a Practitioners Guide PowerPoint PPT Presentation

Large Graph Mining: Power Tools and a Practitioners Guide - CMU SCS. CMU SCS. CMU SCS. Large Graph Mining: Power ... Proof: see p.279, Godsil-Royle. KDD'09. Faloutsos, Miller, Tsourakakis. P7-39. Connected Components ...

CMU SCS. CMU SCS. CMU SCS. Large Graph Mining: Power ... Proof: see p.279, Godsil-Royle. KDD'09. Faloutsos, Miller, Tsourakakis. P7-39. Connected Components ...

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Context and Learning in Multilingual Tone and Pitch Accent Recognition PowerPoint PPT Presentation

Context and Learning in Multilingual Tone and Pitch Accent Recognition - Context and Learning in. Multilingual Tone and Pitch Accent Recognition. Gina-Anne Levow ... Automatically segmented, pinyin pronunciation lexicon ...

Context and Learning in. Multilingual Tone and Pitch Accent Recognition. Gina-Anne Levow ... Automatically segmented, pinyin pronunciation lexicon ...

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Unsupervised and Semi-Supervised Learning of Tone and Pitch Accent PowerPoint PPT Presentation

Unsupervised and Semi-Supervised Learning of Tone and Pitch Accent - Unsupervised and Semi-Supervised Learning. of Tone and Pitch Accent. Gina-Anne Levow ... Automatically segmented, pinyin pronunciation lexicon ...

Unsupervised and Semi-Supervised Learning. of Tone and Pitch Accent. Gina-Anne Levow ... Automatically segmented, pinyin pronunciation lexicon ...

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AERFAI Summer School - AERFAI Summer School

AERFAI Summer School

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Local Fisher Discriminant Analysis for Supervised Dimensionality Reduction PowerPoint PPT Presentation

Local Fisher Discriminant Analysis for Supervised Dimensionality Reduction - Title: Flexview3d Calibration Author: lis Last modified by: xwang Created Date: 1/31/2005 4:55:12 PM Document presentation format: On-screen Show (4:3)

Title: Flexview3d Calibration Author: lis Last modified by: xwang Created Date: 1/31/2005 4:55:12 PM Document presentation format: On-screen Show (4:3)

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Machine Learning Models on Random Graphs PowerPoint PPT Presentation

Machine Learning Models on Random Graphs - Machine Learning Models on Random Graphs. Haixuan Yang ... Anneal. 21. 3. 300. Waveform. 13. 3. 178. Wine. 8. 2. 768. Diabetes. 34. 2. 351. Iono. 6. 2. 666. Credit-a ...

Machine Learning Models on Random Graphs. Haixuan Yang ... Anneal. 21. 3. 300. Waveform. 13. 3. 178. Wine. 8. 2. 768. Diabetes. 34. 2. 351. Iono. 6. 2. 666. Credit-a ...

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Local Fisher Discriminant Analysis for Supervised Dimensionality Reduction - Local Fisher Discriminant Analysis for Supervised Dimensionality Reduction ... sepal length in cm. sepal width in cm. petal length in cm. petal width in cm. class: ...

Local Fisher Discriminant Analysis for Supervised Dimensionality Reduction ... sepal length in cm. sepal width in cm. petal length in cm. petal width in cm. class: ...

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MDSteer: Steerable and Progressive Multidimensional Scaling - Naive Spring Model. repeat for all points. compute spring force to all other points ... Katherine St. John, Nina Amenta, Nando de Freitas. technical writing ...

Naive Spring Model. repeat for all points. compute spring force to all other points ... Katherine St. John, Nina Amenta, Nando de Freitas. technical writing ...

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Map Building without Localization by Dimensionality Reduction Techniques PowerPoint PPT Presentation

Map Building without Localization by Dimensionality Reduction Techniques - Session : VISION, GRAPHICS AND ROBOTICS Map Building without Localization by Dimensionality Reduction Techniques Takehisa YAIRI RCAST, University of Tokyo

Session : VISION, GRAPHICS AND ROBOTICS Map Building without Localization by Dimensionality Reduction Techniques Takehisa YAIRI RCAST, University of Tokyo

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Graph Embedding: A General Framework for Dimensionality Reduction PowerPoint PPT Presentation

Graph Embedding: A General Framework for Dimensionality Reduction - Objective function in Linearization. Intrinsic Graph. Penalty Graph ... L: Linearization. K: Kernelization. T: Tensorization ... PCA LDA (Linearization) Summary ...

Objective function in Linearization. Intrinsic Graph. Penalty Graph ... L: Linearization. K: Kernelization. T: Tensorization ... PCA LDA (Linearization) Summary ...

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Graph Embedding and Extensions: A General Framework for Dimensionality Reduction PowerPoint PPT Presentation

Graph Embedding and Extensions: A General Framework for Dimensionality Reduction - Graph Embedding and Extensions: A General Framework for Dimensionality Reduction IEEE TRANSSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE

Graph Embedding and Extensions: A General Framework for Dimensionality Reduction IEEE TRANSSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE

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Edwin R' Hancock and Richard Wilson PowerPoint PPT Presentation

Edwin R' Hancock and Richard Wilson - Construct a matrix of permutation invariants by applying symmetric polynomials ... S (Ur)ij is non-zero if and only if the sum of all the paths of length r from ...

Construct a matrix of permutation invariants by applying symmetric polynomials ... S (Ur)ij is non-zero if and only if the sum of all the paths of length r from ...

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Edwin R' Hancock and Richard Wilson - The University of York. Outline. Motivation Background. Graphs from images ... (Dickinson, ... of all the paths of length r from state i to state j is positive. ...

The University of York. Outline. Motivation Background. Graphs from images ... (Dickinson, ... of all the paths of length r from state i to state j is positive. ...

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Graph Spectral Image Smoothing PowerPoint PPT Presentation

Graph Spectral Image Smoothing - Graph Spectral Image Smoothing. Computer Vision and Pattern Recognition Group ... Attenuate the terms associating with high eigenvalues. ...

Graph Spectral Image Smoothing. Computer Vision and Pattern Recognition Group ... Attenuate the terms associating with high eigenvalues. ...

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Radar images collected from synthetic aperture radar SAR sensor operating at Xband in Sandia Nationa PowerPoint PPT Presentation

Radar images collected from synthetic aperture radar SAR sensor operating at Xband in Sandia Nationa - ... aperture radar (SAR) sensor operating at X-band in Sandia National Laboratories. ... taken from Sandia National Laboratories. http://www.sandia.gov/RADAR ...

... aperture radar (SAR) sensor operating at X-band in Sandia National Laboratories. ... taken from Sandia National Laboratories. http://www.sandia.gov/RADAR ...

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A Transductive Framework of Distance Metric Learning by Spectral Dimensionality Reduction PowerPoint PPT Presentation

A Transductive Framework of Distance Metric Learning by Spectral Dimensionality Reduction - A Transductive Framework of Distance Metric Learning by Spectral ... cijk is positive if dij should be larger than dik, and xj, xk are neighbors of xi. ...

A Transductive Framework of Distance Metric Learning by Spectral ... cijk is positive if dij should be larger than dik, and xj, xk are neighbors of xi. ...

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Eigenmaps PowerPoint PPT Presentations