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?
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
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
Algebraic Structures: Groups, Rings, and Fields
This video covers the definitions for some basic algebraic structures, including groups and rings. I give examples of each and discuss how to verify the properties for each type of structure.
From playlist Abstract Algebra
What is a Tensor? Lesson 31: Tensor Densities (Part 2 of Tensor Transformations)
This video is about What is a Lesson 31: Tensor Densities (Part 2 of Tensor Transformations) We introduce the *classical* definition of a tensor density and connect that definition to our more robust approach associated with vector spaces and their associated bases. I will demonstrate som
From playlist What is a Tensor?
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?
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
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?
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
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
Lecture 3: Classical Hochschild Homology
In this video, we introduce classical Hochschild homology and discuss the HKR theorem. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://www.uni-muenster.de/IVV5WS/Web
From playlist Topological Cyclic Homology
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
Message Passing for graphs - explained w/ example
Message Passing: How to encode the complete information of a (non-euclidean) Graph into a low-dimensional embedding? With the aim of training GNN for more intelligent answers. The solution: Message Passing algorithms. Here I explain their foundation (step-by-step) and use predefined pyth
From playlist Learn Graph Neural Networks: code, examples and theory
Higher Algebra 9: Symmetric monoidal infinity categories
In this video, we introduce the notion of a symmetric monoidal infinity categories and give some examples. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://www.uni-mu
From playlist Higher Algebra
Commutative algebra 20 Tensor products review
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. In this lecture we review the definition of the tensor product of R-modules. We calculate the tensor products in the cases of
From playlist Commutative algebra
High-dimensional omics data analysis with missing values - Anru Zhang
Virtual Workshop on Missing Data Challenges in Computation Statistics and Applications Topic: High-dimensional omics data analysis with missing values Speaker: Anru Zhang Date: September 10, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
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 11: The metric tensor
What is a Tensor 11: The Metric Tensor
From playlist What is a Tensor?