The Tensor Contraction Engine (TCE) is a compiler for a domain-specific language that allows chemists to specify the computation in a high-level Mathematica-style language. It transforms tensor summation expressions to low-level code (C/Fortran) for specific hardware being mindful of memory availability, communication costs, loop fusion and ordering, etc. It is used primarily in computational chemistry. (Wikipedia).
Crash Course on TensorFlow Tensors and their Applications
We discuss the most important features of tensors in TensorFlow, useful tensor methods you should know, and where you would use them in your Deep Learning projects. Notebook Link: https://colab.research.google.com/drive/1Zcrw257e9XjInjTwz-pHtrJ_YuEsR45u?usp=sharing TIMESTAMPS: 0:00 Int
From playlist Math for Machine Learning
Introduction To TensorFlow 2.0
TensorFlow 2.0 is all about ease of use, and there has never been a better time to get started. In this talk, we will introduce model-building styles for beginners and experts, including the Sequential, Functional, and Subclassing APIs. We will share complete, end-to-end code examples in e
From playlist Machine Learning
Installing CPU and GPU TensorFlow on Windows
In this tutorial, we cover how to install both the CPU and GPU version of TensorFlow onto 64bit Windows 10 (also works on Windows 7 and 8). TensorFlow is a Python library for doing operations on tensors, which is used for machine learning in general, but mostly deep learning.
From playlist Machine Learning with Python
TensorFlow Tutorial 2 - Tensor Basics
In this video we go through the most basic and essential tensor operations that really build the foundation to TensorFlow 2.0 and is important to know before moving on to building neural networks which we will start with in the next tutorial! :) Knowledge in Linear Algebra is very import
From playlist TensorFlow 2.0 Beginner Tutorials
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
Tensor Analysis and Applications
Tensors are used in various areas of mathematics and physics, particularly in theoretical calculations involving fields in vector spaces. The Einstein's summation convention implies summation over the dummy indices that appear twice in a term as in matrix-matrix or matrix-vector products.
From playlist Wolfram Technology Conference 2021
What is a Tensor? Lesson 12 (redux): Contraction and index gymnastics
What is a Tensor? Lesson 12 (redux): Contraction and index gymnastics I have redone the index gymnastics lecture to try and fill in the details regarding contractions. I will keep them both in the playlist for now.
From playlist What is a Tensor?
Lei Wang: "Tropical Tensor Networks"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop I: Tensor Methods and their Applications in the Physical and Data Sciences "Tropical Tensor Networks" Lei Wang - Chinese Academy of Sciences Abstract: I will present a unified exact tensor network ap
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?
Tensor Calculus 4g: Index Juggling
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
Garnet Chan - Arithmetic tensor networks and integration - IPAM at UCLA
Recorded 26 January 2022. Garnet Chan of the California Institute of Technology presents "Arithmetic tensor networks and integration" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: I will discuss how to perform arithmetic with tensor networks and the consequences for the in
From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022
Einstein's General Theory of Relativity | Lecture 8
Lecture 8 of Leonard Susskind's Modern Physics concentrating on General Relativity. Recorded November 10, 2008 at Stanford University. This Stanford Continuing Studies course is the fourth of a six-quarter sequence of classes exploring the essential theoretical foundations of modern phy
From playlist Lecture Collection | Modern Physics: Einstein's Theory
What is General Relativity? Lesson 68: The Einstein Tensor
What is General Relativity? Lesson 68: The Einstein Tensor The Einstein tensor defined! Using the Ricci tensor and the curvature scalar we can calculate the curvature scalar of a slice of a manifold using the Einstein tensor. Please consider supporting this channel via Patreon: https:/
From playlist What is General Relativity?
GShard: Scaling Giant Models with Conditional Computation and Automatic Sharding (Paper Explained)
Google builds a 600 billion parameter transformer to do massively multilingual, massive machine translation. Interestingly, the larger model scale does not come from increasing depth of the transformer, but from increasing width in the feedforward layers, combined with a hard routing to pa
From playlist Papers Explained
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
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
David Gross: Diamond norm as improved regularizer for low rank matrix recovery
David Gross: Diamond norm as improved regularizer for low rank matrix recovery Abstract: In the common approach to low-rank matrix recovery, one uses the nuclear norm as a convex surrogate for rank. Geometric proof techniques like Tropp's Bowling scheme or Mendelson's small ball method bo
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
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
Thomas Baumgarte (3) - Numerical relativity: Mathematical formulation
PROGRAM: NUMERICAL RELATIVITY DATES: Monday 10 Jun, 2013 - Friday 05 Jul, 2013 VENUE: ICTS-TIFR, IISc Campus, Bangalore DETAL Numerical relativity deals with solving Einstein's field equations using supercomputers. Numerical relativity is an essential tool for the accurate modeling of a wi
From playlist Numerical Relativity