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#Curse of Dimensionality

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Santa Fe Institute

Parables from Complex Systems and Their Possible Meanings for Our Lives - Lecture 2

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Explore complex systems through parables, examining prediction models, chaos theory, and market dynamics to gain insights applicable to everyday life and decision-making.
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30 Lesons
1 hour 58 minutes
On-Demand
Free-Video
Steve Brunton

Sparse Nonlinear Dynamics Models with SINDy - The Library of Candidate Nonlinearities

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Explores advanced techniques for SINDy algorithm, including control variables, bifurcation parameters, rational functions, dimensionality reduction, and symmetry constraints in nonlinear dynamics modeling.
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7 Lesons
27 minutes
On-Demand
Free-Video
Institute for Advanced Study

Overcoming the Curse of Dimensionality and Mode Collapse - Ke Li

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Explore techniques to overcome dimensionality challenges and mode collapse in deep learning, focusing on GANs, maximum likelihood estimation, and efficient algorithms for high-dimensional spaces.
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20 Lesons
33 minutes
On-Demand
Free-Video
Institute for Advanced Study

Emergent Linguistic Structure in Deep Contextual Neural Word Representations - Chris Manning

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Explore emergent linguistic structures in deep neural word representations with Stanford's Chris Manning, examining language models, attention mechanisms, and vector space analysis.
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10 Lesons
43 minutes
On-Demand
Free-Video
Data Science Dojo

N-Grams - Introduction to Text Analytics with R

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Explore N-grams in text analytics, including TF-IDF validation, word ordering, dimensionality challenges, and hardware limitations. Enhance your R-based text analysis skills.
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1 Lesons
30 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

High-Dimensional PDEs, Tensor Networks, and Convex Optimization

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Explore innovative computational methods for high-dimensional PDEs using tensor networks and convex relaxations, addressing the curse of dimensionality with low-order statistics approximations.
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1 Lesons
53 minutes
On-Demand
Free-Video
Data Science Dojo

VSM, LSA, & SVD - Introduction to Text Analytics with R

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Explore advanced text analytics techniques: VSM, LSA, and SVD. Learn to handle high-dimensional data, uncover latent semantic structures, and efficiently map new data in reduced dimensions.
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1 Lesons
38 minutes
On-Demand
Free-Video
Alan Turing Institute

Multilevel Weighted Least Squares Polynomial Approximation – Sören Wolfers, KAUST

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Explore multilevel weighted least squares polynomial approximation for high-dimensional function reconstruction, addressing the curse of dimensionality and leveraging structural assumptions for improved accuracy.
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15 Lesons
37 minutes
On-Demand
Free-Video
Alan Turing Institute

Score Estimation with Infinite-Dimensional Exponential Families – Dougal Sutherland, UCL

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Explore score estimation in infinite-dimensional exponential families, covering reproducing kernel Hilbert spaces, maximum likelihood, and Nystrom approximation. Includes theoretical overview and experimental results.
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14 Lesons
54 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Generalization Theory in Machine Learning

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Explore generalization theory in machine learning, covering traditional methods, deep learning, and statistical learning theory. Gain insights into overcoming the curse of dimensionality and understanding learning bounds.
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24 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Alan Turing Institute

Optimal Sampling in Weighted Least-Squares Methods - Application to High-Dimensional Approximation

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Explore optimal sampling in weighted least-squares for high-dimensional approximation, focusing on mathematical foundations and modern approaches to overcome the curse of dimensionality.
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15 Lesons
48 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
PCS Institute for Basic Science

Machine Learning and Resampling for Stochastic Parameterization with Memory

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Explore machine learning and resampling techniques for stochastic parameterization with memory in multiscale dynamical systems, focusing on overcoming challenges in long-memory scenarios.
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1 Lesons
25 minutes
On-Demand
Free-Video
BIMSA

Solving High-Dimensional Partial Differential Equations Using Deep Learning

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Explore deep learning algorithms for solving high-dimensional PDEs, overcoming dimensionality challenges in scientific computing applications.
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1 Lesons
54 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

On Algorithms in High Dimensions

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Explore algorithms for high-dimensional data analysis, focusing on separated representations and multivariate mixtures to overcome the "curse of dimensionality" in complex computational problems.
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1 Lesons
50 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

The Quest for Adaptivity in Machine Learning - Comparing Popular Methods

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Explore supervised learning algorithms' strengths and weaknesses, comparing k-nearest-neighbor, kernel methods, and neural networks for adaptivity and performance across various problems.
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17 Lesons
32 minutes
On-Demand
Free-Video
BIMSA

Computational Quantum Mechanics in Phase Space - An Attempt to Break the Curse of Dimensionality

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Explore computational quantum mechanics in phase space, focusing on breaking the curse of dimensionality through grid-based and particle-based methods for high-dimensional Wigner quantum dynamics simulations.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
ChemicalQDevice

Tensor Networks vs. PCA and PLS for High Dimensional Medical Datasets

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Explore dimensionality reduction techniques for high-dimensional medical data. Compare tensor networks with PCA and PLS, gaining insights on their applications and effectiveness in handling complex datasets.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Finite Neuron Method - Lecture 2

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Explore finite neuron method, covering electrical entropy, curse of dimensionality, neural networks, and approximation properties. Gain insights into deep learning concepts and techniques.
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14 Lesons
1 hour 25 minutes
On-Demand
Free-Video