Dimension reduction | Tensors

Tensor sketch

In statistics, machine learning and algorithms, a tensor sketch is a type of dimensionality reduction that is particularly efficient when applied to vectors that have tensor structure. Such a sketch can be used to speed up explicit kernel methods, bilinear pooling in neural networks and is a cornerstone in many numerical linear algebra algorithms. (Wikipedia).

Tensor sketch
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What is a Tensor? Lesson 29: Transformations of tensors and p-forms (part review)

What is a Tensor? Lesson 29: Tensor and N-form Transformations This long lesson begins with a review of tensor product spaces and the relationship between coordinate transformations on spacetime and basis transformations of tensor fields. Then we do a full example to introduce the idea th

From playlist What is a Tensor?

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Calculus 3: Tensors (1 of 28) What is a Tensor?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a tensor. A tensor is a mathematical representation of a scalar (tensor of rank 0), a vector (tensor of rank 1), a dyad (tensor of rank 2), a triad (tensor or rank 3). Next video in t

From playlist CALCULUS 3 CH 10 TENSORS

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What is a Tensor 10: Metric spaces

What is a Tensor 10: Metric spaces

From playlist What is a Tensor?

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Visualization of tensors - part 1

This video visualizes tensors. It shows some introduction to tensor theory and demonstrates it with the Cauchy stress tensor. Future parts of this series will show more theory and more examples. It talks about the term 'tensor' as used in physics and math. In the field of AI the term 'te

From playlist Animated Physics Simulations

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What Is A Tensor Lesson #1: Elementary vector spaces

We define a vector space and lay the foundation of a solid understanding of tensors.

From playlist What is a Tensor?

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What is a Tensor? Lesson 30: Transformation of forms - formal study (Part I)

What is a Tensor? Lesson 30: Transformation of forms - formal study (Part I)

From playlist What is a Tensor?

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Sketch constant vector field

Free ebook http://tinyurl.com/EngMathYT Basic example of how to sketch a constant vector field.

From playlist Engineering Mathematics

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What is a Tensor 3: Dual Spaces

What is a Tensor? Dual Spaces

From playlist What is a Tensor?

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Madeleine Udell: "Low Rank Tucker Approximation of a Tensor from Streaming Data"

Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop III: Mathematical Foundations and Algorithms for Tensor Computations "Low Rank Tucker Approximation of a Tensor from Streaming Data" Madeleine Udell - Cornell University, Computational and Mathematica

From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021

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Fast and optimal low-rank tensor regression via importance - Garvesh Raskutti, UW-Madison

Recent years have witnessed an increased cross-fertilisation between the fields of statistics and computer science. In the era of Big Data, statisticians are increasingly facing the question of guaranteeing prescribed levels of inferential accuracy within certain time budget. On the other

From playlist Statistics and computation

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Relative Error Tensor Low Rank Approximation by David Woodruff

Statistical Physics Methods in Machine Learning DATE:26 December 2017 to 30 December 2017 VENUE:Ramanujan Lecture Hall, ICTS, Bengaluru The theme of this Discussion Meeting is the analysis of distributed/networked algorithms in machine learning and theoretical computer science in the "th

From playlist Statistical Physics Methods in Machine Learning

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Tensors Explained Intuitively: Covariant, Contravariant, Rank

Tensors of rank 1, 2, and 3 visualized with covariant and contravariant components. My Patreon page is at https://www.patreon.com/EugeneK

From playlist Physics

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Yuehaw Khoo - New approaches in simulation of transition paths - IPAM at UCLA

Recorded 17 November 2022. Yuehaw Khoo of the University of Chicago presents "New approaches in simulation of transition paths" at IPAM's Cryo-Electron Microscopy and Beyond Workshop. Abstract: Tensor method can be used for compressing high-dimensional functions arising from partial differ

From playlist 2022 Cryo-Electron Microscopy and Beyond

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Linear elasticity theory. Part 5. Tension revisited.

Solution to the bar in tension problem using the more formal tensor formulation for linear elasticity. Lectures created for Mechanics of Solids and Structures course at Olin College.

From playlist Lectures for mechanics of solids and structures

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Étale cohomology - October 29, 2020

Cup products, Kunneth, projection formula, cycle class maps (warning: my internet was unreliable today, so may be a bit choppy in parts).

From playlist Étale cohomology and the Weil conjectures

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Landau-Ginzburg - Seminar 5 - From quadratic forms to bicategories

This seminar series is about the bicategory of Landau-Ginzburg models LG, hypersurface singularities and matrix factorisations. In this seminar Dan Murfet starts with quadratic forms and introduces Clifford algebras, their modules and bimodules and explains how these fit into a bicategory

From playlist Metauni

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Richard Kueng: "Predicting Many Properties of a Quantum System From Very Few Measurements"

Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop IV: Efficient Tensor Representations for Learning and Computational Complexity "Predicting Many Properties of a Quantum System From Very Few Measurements" Richard Kueng - Johannes Kepler University A

From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021

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Lecture 8: Bökstedt Periodicity

In this video, we give a proof of Bökstedts fundamental result showing that THH of F_p is polynomial in a degree 2 class. This will rely on unlocking its relation to the dual Steenrod algebra and the fundamental fact, that the latter is free as an E_2-Algebra. Feel free to post comments a

From playlist Topological Cyclic Homology

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Christian Ikenmeyer: "Minrank: On the Complexity of Orbit Closures"

Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop IV: Efficient Tensor Representations for Learning and Computational Complexity "Minrank: On the Complexity of Orbit Closures" Christian Ikenmeyer - University of Liverpool Institute for Pure and Appl

From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021

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What is a Tensor 9: TPS transformations

What is a Tensor 9: Tensor transformations

From playlist What is a Tensor?

Related pages

Dimensionality reduction | Linear subspace | DFT matrix | Neural network | Tensor product | Count sketch | Statistics | Outer product | Diagonal matrix | Mode-k flattening | Hadamard product (matrices) | Restricted isometry property | Digital antenna array | Linear map | Vector (mathematics and physics) | Normal distribution | Tensor | Fast Fourier transform | Convolution | Kronecker product | Johnson–Lindenstrauss lemma | Khatri–Rao product | Hadamard matrix