arXiv Machine Learning
Sep 18

A Table-Free Index for Tapered Memoization Grids: Compact Out-of-Core Evaluation of Functions of Sorted Arguments

The paper presents a table‑free index for tapered memoization grids, enabling compact out‑of‑core evaluation of functions that depend on sorted arguments. By showing that the grid’s key set corresponds to multiset combinations, the authors derive a closed‑form O(d) ranking and unranking scheme that removes the need for large preprocessing tables and allows order‑free parallel construction. The resulting values‑only flat array uses significantly less memory than hash‑map memoization, offers faster query times once cache limits are exceeded, and remains operable with memory‑mapped storage beyond RAM.

By Tamal Maharaj
arXiv Machine Learning
Aug 26

A Feature-Major Codebook for Memory-Efficient Sparse-Binary Self-Organizing Maps: Scaling a MEDLINE Atlas to 1.05 Million Neurons on a Single Consumer GPU

The paper presents a memory‑efficient sparse‑binary self‑organising map (SOM) that scales a MEDLINE atlas to over a million neurons on a single consumer GPU. By re‑ordering the codebook into a feature‑major layout, the authors accelerate the best‑matching‑unit search by 4.5–8.5× without increasing quantisation error, enabling training of a 1,048,576‑neuron SOM in 72 s on a 24 GB GPU. The approach outperforms existing cuSPARSE and CPU‑based SOM implementations, achieving the largest SOM reported to date and demonstrating that resolution limits are computational rather than data‑driven.

By Andrew James Amos
arXiv AI
1d ago

Mnemon: Raw Records, Fast Judgments, Slow Thoughts

Mnemon is a memory agent that stores conversations as raw, dated records and uses a fast System 1 decision model (Jev) to quickly judge the relevance of records, while a slow System 2 LLM plans searches and composes answers. The agent consolidates records into topic timelines and value histories in the background, enabling efficient retrieval without rewriting conversations into structured formats. Experiments show Mnemon achieving high scores on LoCoMo and LongMemEval‑S with low context length and cost, and Jev outperforming LLMs in evidence separation and speed.

By Guangren Wang