Atish Mitra

collaborators

11 papers

math.AT2026

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions

Kazuhiro Kawamura, Sushovan Majhi, Atish Mitra

The Intersection Euler Characteristic Profile (Intersection ECP) of $k$ colored point clouds $X_{1}, \dots, X_{k} \subset R^{d}$ is the Euler characteristic $χ(\bigcap_{i=1}^k…

math.AT2026

Vietoris--Rips Shadow for Euclidean Graph Reconstruction

Rafal Komendarczyk, Sushovan Majhi, Atish Mitra

The shadow of an abstract simplicial complex $K$ with vertices in $R^{N}$ is a subset of $R^{N}$ defined as the union of the convex hulls of simplices of $K$ . The Vie…

cs.LG2026

A Closed-Form Persistence-Landmark Pipeline for Certified Point-Cloud and Graph Classification

Sushovan Majhi, Atish Mitra, Å½iga Virk +1

We introduce PLACE (Persistence-Landmark Analytic Classification Engine), a closed-form pipeline for classifying point clouds and graphs through their persistent-homology signature…

cs.LG2026

A Closed-Form Adaptive-Landmark Kernel for Certified Point-Cloud and Graph Classification

Sushovan Majhi, Atish Mitra, Å½iga Virk +1

We introduce PALACE (Persistence Adaptive-Landmark Analytic Classification Engine), the data-adaptive companion to PLACE, paying a small cross-validation tier on three knobs (budge…

math.DS2026

Detecting Regime Transitions in Dynamical Systems via the Mixup Euler Characteristic Profile

Sushovan Majhi, Atish Mitra, Santanu Nandi +2

We develop a framework for detecting regime transitions in dynamical systems using the Mixup Euler Characteristic Profile (Mixup ECP) -- the Euler characteristic of the geometric i…

math.GN2026

Transfinitely iterated wild sets

Jeremy Brazas, Atish Mitra

In this paper, we study homotopical analogues of the Cantor-Bendixson derivative. For each $n \geq 0$ , the " $I ¨ _{n}$ -wild set" $w_{n} (X)$ of a topological space $X$ is the subs…