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Active Topological Learning (ATL): A Geometric Framework for Targeted Knowledge Injection in Small Language Models

2026methodological guidancenovelframework

Tania Swanepoel

Zenodo (CERN European Organization for Nuclear Research)

https://doi.org/10.5281/zenodo.18982006OpenAlex: W7135071967
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Abstract Quality
GPT-5.5 Abstract Analysis

Problems Identified (5)

Targeted knowledge injection: The paper addresses the problem of inserting targeted conceptual knowledge into pre-trained small language models.

Fine-tuning resource cost: Current fine-tuning paradigms require large datasets and significant compute.

Fine-tuning knowledge degradation: Existing fine-tuning approaches risk degrading knowledge already present in the model.

Resource-constrained specialization: The abstract raises the challenge of enabling on-demand model specialization in resource-constrained deployments.

Targeted knowledge injection: The paper addresses the problem of inserting targeted conceptual knowledge into pre-trained small language models.

Proposed Solutions (5)

Active Topological Learning: ATL is proposed as a geometric methodology for targeted conceptual knowledge insertion into SLM embedding spaces.

Geometric micro-corpus training: The approach designs a geometrically derived micro-corpus and trains along identified load-bearing dimensions using anisotropic gradient masking.

Conceptual void detection: The method detects conceptual voids and measures existing manifold structure before knowledge injection.

Active Topological Learning: ATL is proposed as a geometric methodology for targeted conceptual knowledge insertion into SLM embedding spaces.

Geometric micro-corpus training: The approach designs a geometrically derived micro-corpus and trains along identified load-bearing dimensions using anisotropic gradient masking.

Results (3)

Fast concept localization:

No catastrophic forgetting:

Naive-query discoverability:

Research Domain

Small language models; embedding-space knowledge injection

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