arXiv:2608.24007v1 Announce Type: new
Abstract: Understanding how neural networks learn and organize features is central to understanding their behavior. Much existing theory of feature learning has...
By Amirhesam Abedsoltan, Enric Boix-Adsera, Fivos Kalogiannis, Mikhail Belkin
arXiv:2610.23779v1 Announce Type: cross
Abstract: Understanding how stochastic gradient descent learns internal representations in wide neural networks trained on rich target functions is a central p...
By Shu Zhou, Jean Barbier, Sebastian Goldt
arXiv:2607. 23397v1 Announce Type: new Abstract: Hierarchical neural networks are widely used in artificial intelligence, yet their mathematical properties remain incompletely understood.
By Sumio Watanabe
The paper investigates how parameter symmetries in overparameterized nonlinear neural networks affect representational geometry. It shows that these symmetries can be described by three basic feature transformations—addition, duplication, and scaling—allowing a closed‑form decomposition of representations into essential and auxiliary parts. The study further demonstrates that implementation‑level selection rules can resolve the resulting degeneracy, producing identifiable geometries that reflect feature contributions to the network’s function.
By Marvin Theiss, Lukas Braun, Andrew M. Saxe, Erin Grant
arXiv:2606. 04583v1 Announce Type: new Abstract: Many researchers investigated neural networks with some of their weights fixed to values randomly drawn from a given distribution, e.
By Ethem Alpaydin
arXiv:2609.06862v1 Announce Type: new
Abstract: Superposition refers to neural networks representing more features than they have dimensions. It offers a possible explanation for polysemantic neurons...
By Dai Shi, Xiaoyu Li, Andi Han, Jos\'e Miguel Hern\'andez-Lobato