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The Cartan-K\"ahler theorem for exterior differential systems on transitive Lie algebroids

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abstract

The notion of an exterior differential system (on a manifold) has recently been extended to the setting of a Lie algebroid. Here, we further develop the theory and we present two versions of the Cartan-K\"ahler theorem in the case where the anchor map of the Lie algebroid is surjective. We give an illustrative example and, as a concrete application, we make use of our results in a specific case of the so-called invariant inverse problem of the calculus of variations.

fields

cs.LG 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

The Geometry of Last-Layer Model Stealing

cs.LG · 2026-06-05 · unverdicted · novelty 3.0

Geometry maps the conditions for perfect last-layer theft in transformers and demonstrates that full hidden-network reverse engineering is impossible from final outputs.

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  • The Geometry of Last-Layer Model Stealing cs.LG · 2026-06-05 · unverdicted · none · ref 2 · internal anchor

    Geometry maps the conditions for perfect last-layer theft in transformers and demonstrates that full hidden-network reverse engineering is impossible from final outputs.