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#machine learning Preprint Sep 2026

Attention Manifolds: Steering or Blocking Language Models by Editing Learned B-Spline Surfaces

In standard transformer attention, a source token sends the same value vector to every receiver. The query determines \emph{how much} to attend but not \emph{what} to extract. This work introduces \textbf{attention manifolds}: learned 2D B-spline surfaces $S_d(q_d, k_d)$ that modulate each value dimension based on the...

N. Mysore · 0 citations
#machine learning Preprint Sep 2026

Recovering Governing Dynamics from Distributed Observations via Exact Spline Merging

Scientific observations are frequently distributed across locations, time periods, and institutions. Combining such observations into a continuous, differentiable field enables recovering governing physical parameters from its derivatives. This paper makes two contributions in this setting. First, the established addit...

N. Mysore · 0 citations
#machine learning Preprint Sep 2026

InKAN: B-Spline KANs via Truncated Power Form

Kolmogorov-Arnold Networks (KANs) place learnable B-spline activations on network edges rather than fixed activations on nodes. The standard Cox-de Boor recursion evaluates these activations through $k$ sequential passes for degree-$k$ splines, consuming over 90% of forward-pass time. InKAN replaces this recursion with...

N. Mysore · 2 citations

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