Generative Modeling via Hierarchical Tensor Sketching

Yifan Peng, Yian Chen, E. Miles Stoudenmire, Yuehaw Khoo
4/11/2023
math.NAcs.LGstat.ML

No official code found. Best implementation: IvanPeng0414/Hierarchical-Tensor-Sketching (0 stars, last commit 2026-01-13).

Abstract

We propose a hierarchical tensor-network approach for approximating high-dimensional probability density via empirical distribution. This leverages randomized singular value decomposition (SVD) techniques and involves solving linear equations for tensor cores in this tensor network. The complexity of the resulting algorithm scales linearly in the dimension of the high-dimensional density. An analysis of estimation error demonstrates the effectiveness of this method through several numerical experiments.

View on arXivView PDF

Code Implementations(1)

IvanPeng0414/Hierarchical-Tensor-SketchingCommunity67%

The matlab code of generative modeling via hierarchical tensor sketching

00MATLABJan 7, 20269 months ago

Similar Papers

Tensor Network Estimation of Distribution Algorithms

82% match1 repo42024

Tensor Cookbook: Mastering Tensors through Diagrams

80% match2026

Density peak clustering using tensor network

80% match2023

TERM Model: Tensor Ring Mixture Model for Density Estimation

79% match2023

Probabilistic Inference in the Era of Tensor Networks and Differential Programming

79% match2024

Graphical model for tensor factorization by sparse sampling

79% match2025

Cite this paper

@article{peng2023generative,
  title  = {Generative Modeling via Hierarchical Tensor Sketching},
  author = {Yifan Peng and Yian Chen and E. Miles Stoudenmire and Yuehaw Khoo},
  year   = {2023},
  eprint = {2304.05305},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2304.05305v2}
}

Add a badge to your README

Shows whether official code is linked for this paper.

Code of Paper badge
[![Code of Paper](https://codeofpaper.com/badge/2304.05305.svg)](https://codeofpaper.com/paper/2304.05305)

Discussion