Memory ideas

External memories, state compression, retrieval-style read/write policies and calibrated stopping rules.

△ Mechanism confirmed, baseline not beaten 2026

Implicit Higher-Order TPR Memory

Support conjunction queries over multiple roles without explicitly storing a huge tensor of repeated objects. Represent the required higher-order memory through query-dependent contractions, enabling compositional retrieval with memory that scales linearly in the number of objects.

Useful7/10
Difficulty6/10
Novelty7/10
Paper: TPR-Attention for Combinatorial Generalization arXiv:2608.30124
Unverified 2026

Near-Parseval Unitary Orbit Memory

Generate memory slots or attention keys by applying learned unitary transformations to one seed vector instead of storing every slot independently. Select transformations sequentially when they add a sufficiently new direction and reject phase-equivalent or highly coherent candidates, targeting a well-conditioned near-Parseval frame.

Useful6/10
Difficulty6/10
Novelty7/10
Paper: Near-Parseval orbit frames for irreducible unitary representations: from mixing and expansion arXiv:2608.15182
✗ Mechanism failed 2026

Support-Scenario Attention Pruning

Turn attention weights into a Boolean support scenario and prune edges using local-surjectivity constraints rather than independently thresholding each row. Preserve at least one compatible continuation for every local window, then favor a strongly connected support graph so pruning removes redundant mixtures while maintaining a globally coherent sparse attention pattern.

Useful6/10
Difficulty5/10
Novelty7/10
Paper: Possibilistic collapse and extremality of simplicial distributions arXiv:2607.02754
✓✓ Beats tuned baseline 2026

Boundary-Compressed Approximate Pruning

Use an approximate decision diagram to select a structured subset of neurons, channels, attention heads, or attention edges when their quadratic interactions are sparse or inverse-sparse. Merge states that agree on a local interaction boundary and accept a tunable epsilon loss in the pruning objective, obtaining a representation whose size is linear in model width for fixed accuracy tolerance.

Useful6/10
Difficulty6/10
Novelty7/10
Paper: Convexification of mixed-integer quadratic optimization via decision diagrams arXiv:2608.22815