Tensor Algebra Courses and Certifications

ACM SIGPLAN

Compiling Structured Tensor Algebra

Explore StructTensor, a framework for symbolically computing tensor structure at compile-time, enhancing efficiency in data-intensive workloads across computational domains.

• YouTube
• 20 minutes
• On-Demand
• Free Video

ACM SIGPLAN

Compressed and Parallelized Structured Tensor Algebra

Discover DASTAC framework for optimizing tensor algebra through automatic data layout compression, polyhedral analysis, and parallelization, achieving up to 243x speedup over expert implementations.

• YouTube
• 14 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

An Introduction to Tensors - III

Dive into advanced tensor algebra concepts and mathematical foundations in this comprehensive introduction to tensor theory and applications.

• YouTube
• 52 minutes
• On-Demand
• Free Video

ACM SIGPLAN

The Sparse Abstract Machine: A Model for Sparse Tensor Algebra on Dataflow Accelerators

Explore the Sparse Abstract Machine (SAM) for targeting sparse tensor algebra to spatial dataflow accelerators, including its streaming dataflow abstraction and compiler implementation.

• YouTube
• 17 minutes
• On-Demand
• Free Video

ACM SIGPLAN

Mosaic: An Interoperable Compiler for Tensor Algebra

Explore Mosaic, an innovative compiler for sparse tensor algebra that combines external function calls and code fusion, offering flexibility and performance gains in tensor computations.

• YouTube
• 19 minutes
• On-Demand
• Free Video

Isaac Newton Institute for Mathematical Sciences

Bridging the Divide: From Matrix to Tensor Algebra for Optimal Approximation and Compression

Explore tensor algebra and its advantages over matrix-based approaches for data compression and analysis. Learn about novel tensor-tensor products and their applications in various fields.

• YouTube
• 1 hour
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Special Relativity and Tensor Algebra - Lecture 3

Explore light aberration, tensor algebra, and relativistic objects in this graduate-level physics lecture. Practice tensor transformation laws through exercises.

• YouTube
• 1 hour 44 minutes
• On-Demand
• Free Video

Code Sync

Agent-Based Modeling with Nx - GPU-Accelerated Tensor Algebra for BEAM

Explore how to redesign Agent-Based Modeling frameworks using Nx tensor algebra for efficient GPU computation on the BEAM, moving beyond traditional ML applications.

• YouTube
• 15 minutes
• On-Demand
• Free Video

Harvard CMSA

Tensor Structures Associated to the N=1 Super Virasoro Algebra

Explore tensor structures and braided tensor categories in N=1 super Virasoro algebra representations, focusing on rigidity properties at specific central charges.

• YouTube
• 35 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Tensor Categories Arising from the Virasoro Algebra and Quantum Groups

Explore tensor categories emerging from Virasoro algebra and quantum groups in this advanced mathematical physics presentation by S. Koshida from Aalto University.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Foundations of Continuum Mechanics

Master tensor algebra, stress-strain analysis, and conservation laws to build essential foundations for advanced solid and fluid mechanics applications.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Michael Penn

A Gentle Description of a Vertex Algebra

Explore the concept of vertex algebra through associative, Lie, and Poisson algebras. Learn its definition and gain intuition for understanding its components in this mathematical journey.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Tutorial: 3+1 Decomposition with xTensor - IPAM at UCLA

Learn to derive ADM-York equations for Einstein's equations using xTensor, an open-source tool for tensor algebra with Mathematica. Explore abstract tensor computations in gravitational wave astronomy.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

USENIX

EINNET - Optimizing Tensor Programs with Derivation-Based Transformations

Optimizing tensor programs for deep neural networks using derivation-based transformations, outperforming existing optimizers by leveraging a larger search space and automatically creating new operators.

• YouTube
• 15 minutes
• On-Demand
• Conference Talk

BIMSA

Symplectic Singularities Arising from Algebras of Symmetric Tensors

Explore symplectic singularities from symmetric tensor algebras, their construction, and relation to existing methods in algebraic geometry and representation theory.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video