math.NA · 2026-09-24 · No. 123

Numerical Analysis, 2026-09-24.

2 new papers in math.NA. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

2 entries
  1. 01

    Tensor Decomposition of Transformer Key-Value Caches: Spectral Structure and Format Comparison

    Rahul Krishnan, Volker Schulz

    math.NA · cs.CL · cs.LG

    The key-value (KV) cache of autoregressive transformers can be viewed as a fourth-order tensor spanning attention heads, tokens, features, and grouped layers. We measure the singular-value spectra of all four mode unfoldings on Mistral-7B-v0.3 and LLaMA-2-13B and compare four standard tensor decompositions: Tucker, CP, tensor train, and t-SVD, at matched storage. The spectra partition the four axes into two classes. The token and feature...

    arxiv.org/abs/2609.28029 · PDF

  2. 02

    A Hybrid Iterative Deep Ritz Method for Elliptic Interface Problems

    Tianhao Hu, Bangti Jin, Fengru Wang, Yifeng Xu

    math.NA · cs.LG

    In this work, we propose a hybrid iterative deep Ritz method (H-IDRM) for a class of interface problems for second-order elliptic operators. It is based on a new mixed formulation of the problem and involves solving a sequence of convex minimization problems. We employ a level-set neural network architecture, featuring a level-set representation of the interface, to accommodate the piecewise smoothness of the solution and the flux. The...

    arxiv.org/abs/2609.27325 · PDF

This edition is part of The Daily Abstract — math.NA archive. Subscribe to receive these in your inbox each morning, automatically translated to Spanish, with reply-to-PDF: arxivdaily.ignorelist.com.

Colophon Set in Georgia, with system sans for interface chrome and a monospaced stack for code and paper identifiers. Sole accent: amber #D99C5E. Built and served on an always-free VM. The masthead is set 14% letterspaced because newspapers do that and it works.