In mathematics, the structure tensor, also referred to as the second-moment matrix, is a matrix derived from the gradient of a function. It describes the distribution of the gradient in a specified neighborhood around a point and makes the information invariant respect the observing coordinates. The structure tensor is often used in image processing and computer vision. (Wikipedia).
What is a Tensor? Lesson 20: Algebraic Structures II - Modules to Algebras
What is a Tensor? Lesson 20: Algebraic Structures II - Modules to Algebras We complete our survey of the basic algebraic structures that appear in the study of general relativity. Also, we develop the important example of the tensor algebra.
From playlist What is a Tensor?
What is a Tensor? Lesson 19: Algebraic Structures I
What is a Tensor? Lesson 19: Algebraic Structures Part One: Groupoids to Fields This is a redo or a recently posted lesson. Same content, a bit cleaner. Algebraic structures are frequently mentioned in the literature of general relativity, so it is good to understand the basic lexicon of
From playlist What is a Tensor?
What is a Tensor? Lesson 11: The metric tensor
What is a Tensor 11: The Metric Tensor
From playlist What is a Tensor?
Linear elasticity theory. Part 3. Strain tensor.
This video introduces the strain tensor and its interpretation. Lectures created for Mechanics of Solids and Structures course at Olin College.
From playlist Lectures for mechanics of solids and structures
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
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
Calculus 3: Tensors (5 of 28) Tensor for Crystal Structure: Orthorombic
Visit http://ilectureonline.com for more math and science lectures! In this video I will show how to apply tensors to a crystal structure, the orthorombic-which is a cube where all the angles are 90 degrees. Next video in the series can be seen at: https://youtu.be/fS1FumZgMKQ
From playlist CALCULUS 3 CH 10 TENSORS
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
Calculus 3: Tensors (3 of 28) What is a Dyad? A Graphical Representation
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the physical graphical representation of a tensor of rank 2, or a dyad. A tensor of rank 2 has 9 components, which means there will be 3 vectors each representing a force or stress or somethin
From playlist CALCULUS 3 CH 10 TENSORS
Elizaveta Rebrova - Low-rank tensor recovery from memory-efficient measurements - IPAM at UCLA
Recorded 01 December 2022. Elizaveta Rebrova of Princeton University presents "Low-rank tensor recovery from memory-efficient measurements" at IPAM's Multi-Modal Imaging with Deep Learning and Modeling Workshop. Abstract: Abstract: Recovery of sparse vectors and low-rank matrices from a sm
From playlist 2022 Multi-Modal Imaging with Deep Learning and Modeling
Jean Kossaifi: "Efficient Tensor Representation for Deep Learning with TensorLy and PyTorch"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop IV: Efficient Tensor Representations for Learning and Computational Complexity "Efficient Tensor Representation for Deep Learning with TensorLy and PyTorch" Jean Kossaifi - Nvidia Corporation Abstrac
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
Lecture 7: Hochschild homology in ∞-categories
In this video, we construct Hochschild homology in an arbitrary symmetric-monoidal ∞-category. The most important special case is the ∞-category of spectra, in which we get Topological Hochschild homology. Feel free to post comments and questions at our public forum at https://www.uni-mu
From playlist Topological Cyclic Homology
Eleventh Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk
Date: Wednesday, January 27, 2021, 10:00am EDT Speaker: Michael Ng, The University of Hong Kong Title: Low Rank Tensor Completion and its Applications Abstract: In this talk, we study low rank tensor completion problems, and discuss how to use framelet, dictionary coding, deep plug-and-
From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series
Will Troiani - Introduction to proof nets (Part 2)
In the second of Will's talks on linear logic and proof nets, he proves the sequentialisation theorem which distinguishes proof nets among proof structures using the long trip condition. Lecture notes - https://cglseminar.github.io/notes/Proof-nets.pdf This is a talk in the Computation,
From playlist Computation, Geometry, Logic seminar
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
From playlist Abstract Algebra 2
Anna Seigal: "Tensors in Statistics and Data Analysis"
Watch part 1/2 here: https://youtu.be/9unKtBoO5Hw Tensor Methods and Emerging Applications to the Physical and Data Sciences Tutorials 2021 "Tensors in Statistics and Data Analysis" Anna Seigal - University of Oxford Abstract: I will give an overview of tensors as they arise in settings
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
Harm Derksen: "Invariant Tensors and Wheeled PROPs"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop IV: Efficient Tensor Representations for Learning and Computational Complexity "Invariant Tensors and Wheeled PROPs" Harm Derksen - Northeastern University, Mathematics Abstract: If we take a tensor
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
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?
Román Orús: "News on tensor network simulations for quantum matter and beyond"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop II: Tensor Network States and Applications "News on tensor network simulations for quantum matter and beyond" Román Orús - Donostia International Physics Center Abstract: In this talk I will make an
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021