arXiv:2606. 07007v1 Announce Type: cross Abstract: We propose a unified mathematical framework for a geometric understanding of concept learning and neuron interpretation in sparse autoencoders (SAEs).
By Chenhao Zhang, Chris Lin, Su-In Lee
The paper compares latent representations in Selective State Space Models (SSMs) like Mamba and Transformers such as Pythia using Sparse Autoencoders. Across a 10‑million token corpus, 99.98% of Mamba features align closely with Pythia’s, supporting the Universality Hypothesis that core semantic representations are similar across architectures. A tiny 0.02% of features diverge, with Mamba’s recurrent bottleneck causing it to compress syntactic anomalies into polysemantic neurons, whereas Pythia’s attention can isolate distinct formatting edge‑cases.
By Rithin Nagaraj, Rupa Laalasa Oruganti, Prerna Subhashchandra Kunder, Ashwini M Joshi
The paper investigates whether neural networks exhibit conceptual separation, meaning that examples of the same concept cluster together and related concepts are closer in representation space. Using geometric and distributional analyses, the authors find that Convolutional Neural Networks (CNNs) produce coherent, semantically ordered representations for familiar ImageNet concepts, but this coherence weakens for unseen concepts and under domain shift. Large Language Models (LLMs) keep distinct domains well separated, bring related subdomains closer, yet lose distinction between ambiguous topics at both mean and covariance levels.
By Jaee Ponde, Roshni Agarwal, Subhashis Banerjee
arXiv:2608. 11197v1 Announce Type: new Abstract: Shani et al.
By Nikolai Bolik, Lennart St\"opler, Artur Andrzejak
FlowGenesis is a framework that lets neural networks self‑organize their architecture during training by adding or removing neurons based on a local statistic called Representation Flux. Neurons with high Flux are split to preserve function, while low‑Flux, low‑activity neurons are pruned. Experiments on image and text classification show that networks starting from different sizes converge to similar neuron counts and performance, and the method also improves continual learning by reducing parameters for new tasks without sacrificing accuracy.
By Maksim A Kazanskii
arXiv:2608.28184v1 Announce Type: new
Abstract: Grokking is a delayed transition from memorization to generalization that is often accompanied by substantial reorganization of internal representation...
By Florin Leon