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Record W4414914302

A new paging problem for Mixture-of-Experts LLMs - extended version

2025· preprint· en· W4414914302 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueHAL (Le Centre pour la Communication Scientifique Directe) · 2025
Typepreprint
Languageen
FieldDecision Sciences
TopicScheduling and Timetabling Solutions
Canadian institutionsnot available
Fundersnot available
KeywordsPagingCompetitive analysisDemand pagingVariety (cybernetics)Online algorithmPage fault
DOInot available

Abstract

fetched live from OpenAlex

Large language models (LLMs) have demonstrated impressive capabilities across a variety of tasks. However, their use introduces a critical challenge related to memory management, as the most efficient models include billions of parameters. Mixture-of-Experts architectures have been proposed to reduce the size of the activated parameters for the production of each token. The efficient management of experts is crucial to ensure that experts which will be reused soon are kept in memory. We define a new paging problem to model the expert management optimization. Compared to the classical paging problem, pages are now divided into ℓ subsets, corresponding to the layers of the LLM, page are requested one layer after the other. After defining this new paging problem, we provide updated lower bounds on the competitive ratio of both deterministic and randomized algorithms. We then propose a layer-aware version of the standard LRU policy. Extensive simulations performed on both synthetic datasets and actual traces of MoE usage show how the adapted and layer-aware strategies outperforms classical paging policies. This study opens many exciting research questions, both on the theoretical sides as there remains a gap between paging algorithms with best competitive ratio and the corresponding lower bounds, and on the practical side with the design of efficient paging strategies.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.014
metaresearch head score (Gemma)0.013
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMetaresearch, Meta-epidemiology (narrow)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.589
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0140.013
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0010.001
Science and technology studies0.0010.000
Scholarly communication0.0010.000
Open science0.0030.002
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.043
GPT teacher head0.322
Teacher spread0.278 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it