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Electronic Colloquium on Computational Complexity

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All reports by Author vineet nair:

TR20-091 | 14th June 2020
Janaky Murthy, vineet nair, Chandan Saha

Randomized polynomial-time equivalence between determinant and trace-IMM equivalence tests

Equivalence testing for a polynomial family $\{g_m\}_{m \in \mathbb{N}}$ over a field F is the following problem: Given black-box access to an $n$-variate polynomial $f(\mathbb{x})$, where $n$ is the number of variables in $g_m$ for some $m \in \mathbb{N}$, check if there exists an $A \in \text{GL}(n,\text{F})$ such that $f(\mathbb{x}) ... more >>>

TR18-029 | 9th February 2018
Neeraj Kayal, vineet nair, Chandan Saha

Average-case linear matrix factorization and reconstruction of low width Algebraic Branching Programs

Revisions: 2

Let us call a matrix $X$ as a linear matrix if its entries are affine forms, i.e. degree one polynomials. What is a minimal-sized representation of a given matrix $F$ as a product of linear matrices? Finding such a minimal representation is closely related to finding an optimal way to ... more >>>

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