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#High-Dimensional Data Analysis

Showing: 27 courses
Santa Fe Institute

Blessings of Dimensionality for Gaussian Latent Factor Models

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Explore how high-dimensional data analysis can benefit from restricted latent factor overlaps, with applications in brain fMRI and financial markets.
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32 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Broad Institute

Neural Optimal Transport for Inferring Single-Cell Responses to Perturbations

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Explore neural optimal transport methods for predicting single-cell responses to perturbations, uncovering insights into molecular processes and treatment outcomes at unprecedented resolution.
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24 Lesons
1 hour 51 minutes
On-Demand
Free-Video

Restricted Boltzmann Machines

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Explore Restricted Boltzmann Machines: their layered structure, hidden and visible layers, statistical independence, and applications in modeling high-dimensional data like images.
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2 Lesons
30 minutes
On-Demand
Free-Video
MITCBMM

Unsupervised Discovery of Temporal Sequences in High-Dimensional Datasets

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Explore unsupervised discovery of temporal sequences in high-dimensional datasets using seqNMF, a tool extending convolutional NMF. Learn to extract and validate neural sequences from large-scale recordings.
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11 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Simons Institute

Robust List Decoding of Spherical Gaussians

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Explore robust list decoding of spherical Gaussians, covering algorithms, error identification, and computational challenges in high-dimensional statistics.
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22 Lesons
49 minutes
On-Demand
Free-Video
Simons Institute

Recent Progress in Algorithmic Robust Statistics via the Sum-of-Squares Method

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Explore recent advancements in algorithmic robust statistics using the Sum-of-Squares method, focusing on learning and testing in high-dimensional spaces.
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10 Lesons
51 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Low Rank Tensor Methods in High Dimensional Data Analysis

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Explore advanced tensor methods for analyzing high-dimensional data, focusing on recent developments, challenges, and applications in various scientific fields.
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15 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Hengrui Luo - Generalized Penalty for Circular Coordinate Representation

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Explore dimension reduction using circular coordinates and generalized penalties in topological data analysis. Enhance visualization of high-dimensional datasets while preserving topological structures.
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8 Lesons
21 minutes
On-Demand
Free-Video
International Mathematical Union

Mean Estimation in High Dimension

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Exploring recent advances in high-dimensional mean estimation, focusing on statistical challenges and computational aspects for independent, identically distributed data.
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18 Lesons
44 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Low Rank Tensor Methods in High Dimensional Data Analysis

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Explore low rank tensor methods for analyzing high-dimensional data in various fields. Learn about recent progress, challenges, and applications in extracting information from multilinear arrays.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Persistent Topological Laplacians

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Explores persistent topological Laplacians to address limitations in topological data analysis, enhancing the handling of complex data and uncovering SARS-CoV-2 evolution mechanisms.
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1 Lesons
1 hour
On-Demand
Free-Video
Applied Algebraic Topology Network

High-Dimensional Data, Level-Set Geometry, and Voronoi Analysis of Point Sets

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Explore spatial point sets, high-dimensional data analysis, and Voronoi cell topology to understand complex physical systems and classify data structures in innovative ways.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

The Mapper Algorithm and Reeb Graphs

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Explore the mapper algorithm in applied topology, its connection to Reeb graphs, and its application to high-dimensional data analysis and 3D object recognition.
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1 Lesons
22 minutes
On-Demand
Free-Video
Alan Turing Institute

Mathematical Representations and Models - Professor Jared Tanner, Oxford University

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Explore mathematical models for high-dimensional data analysis with Oxford's Prof. Tanner. Learn about Fourier series, localisation, coherence, and advanced techniques for efficient information extraction and processing.
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12 Lesons
53 minutes
On-Demand
Free-Video
Alan Turing Institute

Exploring High Dimensional Data in Astronomy, Genomics and Beyond Using Glue

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Discover "glue," a powerful analysis/visualization tool for exploring diverse datasets across fields. Learn its origins, capabilities, and applications in astronomy, genomics, and beyond.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Chemometrics & Machine Learning in Copenhagen

Dual-SPLS - A Versatile Approach Improving PLS with Lasso Shrinkage

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Explore dual-sPLS, an innovative algorithm combining PLS and Lasso for improved variable selection and dimension reduction in high-dimensional analytical chemistry problems, offering enhanced accuracy and interpretability.
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1 Lesons
42 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Entropic Optimal Transport - Eighteenth SIAM Activity Group on FME Virtual Talk

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Explore entropic regularization in optimal transport with Marcel Nutz. Learn about convergence, local behavior, and applications in high-dimensional data problems.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Tools of High Dimensional Data - Lecture 3

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Explore high-dimensional data analysis techniques with Bruce Walsh, focusing on advanced tools and methods for complex datasets in biological evolution and genetics.
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1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
Simons Institute

Statistical Physics and Computation in High Dimension

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Explore high-dimensional statistical physics and computation, covering sampling, minimization, and replica methods with applications in finance and algorithms.
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12 Lesons
1 hour 18 minutes
On-Demand
Free-Video
Simons Institute

Learning Ising Models from One, Ten or a Thousand Samples

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Explore statistical learning theory and Ising models, focusing on sample complexity and efficient algorithms for learning in high-dimensional settings.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
IEEE

The Kikuchi Hierarchy and Tensor PCA

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Explore the Kikuchi Hierarchy and its applications in Tensor PCA, delving into advanced statistical methods for data analysis and dimensionality reduction.
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1 Lesons
22 minutes
On-Demand
Free-Video
Simons Institute

Continuous Algorithms - Sampling and Optimization in High Dimension

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Explore high-dimensional sampling and optimization techniques, including cutting plane methods, interior-point algorithms, and Riemannian Hamiltonian Monte Carlo, with insights on complexity and open problems.
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10 Lesons
33 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Random Tessellation Forests: Overcoming the Curse of Dimensionality

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Explore random tessellation forests in machine learning, overcoming dimensionality challenges through innovative partitioning methods and directional distributions for improved statistical performance.
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1 Lesons
58 minutes
On-Demand
Free-Video
Simons Institute

New Directions in Property Testing

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Explore recent advancements in property testing algorithms, including new problems and frameworks connected to machine learning theory and high-dimensional data analysis.
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1 Lesons
58 minutes
On-Demand
Free-Video
IEEE

Smoothed Analysis in Unsupervised Learning via Decoupling

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Explore smoothed analysis in unsupervised learning, focusing on tensor decomposition, high-dimensional data, and robust subspace recovery. Gain insights into condition number bounds and perturbation techniques.
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12 Lesons
21 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Tools of High Dimensional Data - Lecture 3

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Explore tools for analyzing high-dimensional data in genetics and evolution. Learn techniques to understand complex genetic architectures and their role in adaptive processes.
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1 Lesons
1 hour 45 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Discovery in High Dimensions - 2008

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Explore statistical methods for uncovering hidden structures in high-dimensional data from various fields, including genetics, astronomy, and consumer behavior.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video