Tensor Network Research

Use when the user asks about tensor networks, tensor decompositions (CP, Tucker, HOSVD, HOOI, Tensor Train / TT, Matrix Product State / MPS, Tensor Ring / TR, Hierarchical Tucker / HT, PEPS, MERA, TTN, LPS, PARAFAC, randomized / streaming / sparse / nonnegative / orthogonal decompositions), tensor optimization on manifolds (Riemannian, Grassmann, Stiefel, fixed-rank, quotient, ALS, block coordinate, proximal, trust-region, projected gradient, Łojasiewicz / KL convergence), numerical linear algebra for tensors (SVD, QR, eig, polar, randomized SVD, Lanczos, Arnoldi, preconditioning, matrix compl

Install

skills CLI (Claude Code, Cursor, Codex and more)
npx skills add haotong-Duan/tensor-network-research --skill tensor-network-research
Manual install
git clone --depth 1 https://github.com/haotong-Duan/tensor-network-research.git /tmp/tensor-network-research
mkdir -p ~/.claude/skills
cp -r /tmp/tensor-network-research/. ~/.claude/skills/tensor-network-research

Personal skills live in ~/.claude/skills. Use .claude/skills in a project folder to share a skill with your team.

From the SKILL.md

# Tensor Network Research

A research-grade assistant skill for tensor network science. Use this skill
whenever a question, design task, paper draft, or implementation sits in the
tensor-network / tensor-decomposition / tensor-manifold / tensor-network-ML
neighborhood.

## What this skill provides

1. **Ten knowledge modules** under `references/` covering tensor algebra,
   decompositions, optimization, tensor networks, TN-ML, numerical linear
   algebra, scientific computing, proof assistance, paper reading, and paper
   writing.
2. **Eight workflows** under `workflows/` for reasoning, implementation,
   paper reading, paper writing, proof writing, algorithm design, coding, and
   experiment design.
3. **Reusable templates** under `templates/` for prompts, code, and reference
   patterns.
4. **Anti-patterns** under `mistakes/common-mistakes.md`.
5. **Resource index** covering notation, glossary, formula library, textbooks,
   seminal and recent papers, libraries, datasets, and repositories.

## When to load sub-files

| User intent                                         | Load first                            |
| --------------------------------------------------- | ------------------------------------- |
| Derive / verify a tensor identity                   | `references/01-tensor-algebra.md`     |
| Choose or critique a decomposition                  | `references/02-tensor-decompositions.md` |
Read the full skill on GitHub

Details

Skill name
tensor-network-research
Repo updated
9 July 2026

FAQ

What does the Tensor Network Research skill do?

Use when the user asks about tensor networks, tensor decompositions (CP, Tucker, HOSVD, HOOI, Tensor Train / TT, Matrix Product State / MPS, Tensor Ring / TR, Hierarchical Tucker / HT, PEPS, MERA, TTN, LPS, PARAFAC, randomized / streaming / sparse / nonnegative / orthogonal decompositions), tensor optimization on manifolds (Riemannian, Grassmann, Stiefel, fixed-rank, quotient, ALS, block coordinate, proximal, trust-region, projected gradient, Łojasiewicz / KL convergence), numerical linear algebra for tensors (SVD, QR, eig, polar, randomized SVD, Lanczos, Arnoldi, preconditioning, matrix compl

How do I install the Tensor Network Research skill?

skills CLI (Claude Code, Cursor, Codex and more): npx skills add haotong-Duan/tensor-network-research --skill tensor-network-research. Skills go in ~/.claude/skills (personal) or .claude/skills (project), and Claude loads them automatically when a task matches the description.

Is Tensor Network Research popular?

It lives in haotong-Duan/tensor-network-research, which has 5 GitHub stars and 0 forks.

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