5 papers
Strong asymptotics for Jacobi-Piñeiro orthogonal polynomials
Sergei Kalmykov, Vladimir Lysov, Vinay Shukla
We investigate the asymptotic behavior of Jacobi-Piñeiro polynomials of degree orthogonal on with respect to weights , where $α_1,α_2,…
Evaluation of terminating and non-terminating sums containing the digamma function
Sergei Kalmykov, Dmitrii Karp, Vinay Shukla
We derive transformation and summation formulas for terminating and nonterminating series involving the digamma function. Our principal results are obtained by a limiting process s…
On Askey's extension of Clausen's identity and its polynomial perturbation
Dmitrii Karp, Vinay Shukla
The celebrated Clausen's identity expresses the square of the Gauss hypergeometric series as a single hypergeometric series. Goursat showed in…
Dual-Head Reasoning Distillation: Improving Classifier Accuracy with Train-Time-Only Reasoning
Jillian Xu, Dylan Zhou, Vinay Shukla +6
Chain-of-Thought (CoT) prompting often improves classification accuracy, but it introduces a significant throughput penalty with rationale generation (Wei et al., 2022; Cheng and V…
WaterFlow: Learning Fast & Robust Watermarks using Stable Diffusion
Vinay Shukla, Prachee Sharma, Ryan Rossi +3
The ability to embed watermarks in images is a fundamental problem of interest for computer vision, and is exacerbated by the rapid rise of generated imagery in recent times. Curre…