arXiv AI

Algorithmic algorithm development with LLMs: A Case Study on LLM-Usage for Contraction Order Optimization in Tensor Networks

arXiv:2606. 01975v1 Announce Type: new Abstract: We consider LLM-based algorithm development through a case study on contractionorder optimisation for tensor networks with OpenEvolve.

arXiv Machine Learning
Jun 25

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer

arXiv:2606. 25975v1 Announce Type: new Abstract: Common first-order optimizers, such as Adam, implicitly treat each parameter block as an unstructured vector, which disregards the multilinear weight structure present in many modern machine learning models.

By Vladimir Bogachev, Vladimir Aletov, Alexander Molozhavenko, Sergei Kudriashov, Maxim Rakhuba
arXiv Computer Vision
5d ago

Stochastic Optimization of Tree Tensor Networks

arXiv:2609.00870v1 Announce Type: cross Abstract: Tensor networks, originally developed for quantum many-body physics, are promising models for machine learning. We derive stochastic Riemannian optim...

By Marius Willner, Maximilian Scharf, Andr\'e Uschmajew, Timo Felser, Marco Trenti
arXiv AI
5d ago

Higher Structures in Deep Learning

The article offers an expository overview of why higher‑arity tensor operations matter for deep learning. It presents an empirical study of higher‑arity phenomena in trained neural networks, introduces a hypergraphical generalization of the multilayer perceptron, and examines links to evolutionary algorithms. The paper concludes by outlining promising future research directions.

By Michael L. Roberts, Carlos Zapata Carratal\'a. Nicholas J. Cooper, Lijun Chen, Fran\c{c}ois G. Meyer, Danna Gurari
arXiv Machine Learning
Aug 20

Quantum Tensor Network Learning with DMRG

The paper introduces a quantum tensor network learning framework that employs matrix product states (MPS) as a machine‑learning architecture, adding a global normalization condition to interpret the MPS as a quantum state. It compares two optimization strategies—gradient descent and a DMRG‑adapted method—to identify locally optimal tensors and evaluates their effectiveness.

By Gustav J L J\"ager, Martin B Plenio, Hans-Martin Rieser