96 citations · 491 across the 80 of their papers we have counts for
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Comprehensive Border Bases for Zero Dimensional Parametric Polynomial Ideals
Abhishek Dubey, Ambedkar Dukkipati
In this paper, we extend the idea of comprehensive Gröbner bases given by Weispfenning (1992) to border bases for zero dimensional parametric polynomial ideals. For this, we introd…
Tropical Grassmannian and Tropical Linear Varieties from phylogenetic trees
Ambedkar Dukkipati, Aritra Sen
In this paper we study tropicalization of Grassmannian and linear varieties. In particular, we study the tropical linear spaces cor- responding to the phylogenetic trees. We prove…
Newton based Stochastic Optimization using q-Gaussian Smoothed Functional Algorithms
Debarghya Ghoshdastidar, Ambedkar Dukkipati, Shalabh Bhatnagar
We present the first q-Gaussian smoothed functional (SF) estimator of the Hessian and the first Newton-based stochastic optimization algorithm that estimates both the Hessian and t…
Reduced Gröbner Bases and Macaulay-Buchberger Basis Theorem over Noetherian Rings
Maria Francis, Ambedkar Dukkipati
In this paper, we extend the characterization of , where to be a free -module to multivariate polynomial rings over any c…