Author

S. Sarkar

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Preprint Oct 2026

Polygons and coplanar points on submanifolds of codimension 2

Problem 73 on Green's list of open problems asks whether a smooth submanifold of codimension two in $\mathbb{R}^n$ must meet some affine two-plane in five points when $n$ is large. In this paper, we answer this question for every $n \geq 6$. Every nonempty relatively open subset of such a submanifold contains the verti...

S. Sarkar · 0 citations

#machine learning Preprint Sep 2026

Cheap to Draw, Expensive to Trust: Certifying Test-Time Scaling Curves

Sampling several answers and keeping the one a verifier scores highest is one of the simplest ways to buy accuracy at test time. Its effect is reported as a scaling curve: accuracy against the number $k$ of sampled answers. The curve is cheap to draw and expensive to trust. A budget read off it is chosen after looking...

S. Sarkar, S. Baichoo · 0 citations