ML: Batching

Machine-learning ideas tagged Batching in the ML taxonomy of the Math2NN corpus.

✗ Mechanism failed 2026

Graph Quotient Minibatch Coupling

Use a minibatch-level transport plan that jointly decides which source graph should be paired with which target graph and how each target should be node-aligned. This can reduce total flow-matching displacement beyond per-example matching, producing shorter and less conflicting training trajectories without modifying the architecture.

Useful7/10
Difficulty7/10
Novelty7/10
Paper: Gromov-Monge Flow Matching for Equivariant Graph Generation arXiv:2608.26961
✗ Mechanism failed 2026

Unassembled Adaptive Cell Neural Network

Represent every mesh interface degree of freedom by one feature copy per incident cell, and apply local neural blocks directly to these cell tensors. Enforce inter-cell consistency with valence-weighted averaging only after selected layers or hierarchy transitions, avoiding repeated construction of a global sparse graph or assembled feature vector. This is suited to adaptive quadtrees, octrees, and finite-element neural operators.

Useful6/10
Difficulty5/10
Novelty7/10
Paper: Coalesced Matrix-Free Geometric Multigrid on Persistent Cell-Wise Storage arXiv:2607.03413