A compact MEG-to-speech retrieval model with spherical-harmonic attention and per-branch temporal filters matches black-box accuracy while revealing cortical sources and the acoustic, phonetic, and surprisal features its decisions rely on.
Quotients of monoid extensions and their interplay with Baer sums
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abstract
Cosetal extensions of monoids generalise extensions of groups, special Schreier extensions of monoids and Leech's normal extensions of groups by monoids. They share a number of properties with group extensions, including a notion of Baer sum when the kernel is abelian. However, unlike group extensions (with fixed kernel and cokernel) there may be nontrivial morphisms between them. We explore the structure of the category of cosetal extensions and relate it to an analogue of second cohomology groups. Finally, the order structure and additive structures are combined to give an indexed family of inverse semigroups of extensions. These in turn can be combined into an inverse category.
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Interpretable MEG Decoding of Perceived Speech: Cortical Sources and the Stimulus Features That Drive Retrieval
A compact MEG-to-speech retrieval model with spherical-harmonic attention and per-branch temporal filters matches black-box accuracy while revealing cortical sources and the acoustic, phonetic, and surprisal features its decisions rely on.