Saugata Basu

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20232025

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math.LO2024

Cohomological VC-density: Bounds and Applications

Saugata Basu, Deepam Patel

The concept of Vapnik-Chervonenkis (VC) density is pivotal across various mathematical fields, including discrete geometry, probability theory and model theory. In this paper, we i…

math.AT2024

Complexity and speed of semi-algebraic multi-persistence

Arindam Banerjee, Saugata Basu

Let $R$ be a real closed field, $S \subset R^{n}$ a closed and bounded semi-algebraic set, and $f = (f_{1}, \dots, f_{p}) : S \to R^{p}$ a continuous…