All reports by Author Alexey Milovanov:

__
TR19-035
| 5th March 2019
__

Alexey Milovanov#### PIT for depth-4 circuits and Sylvester-Gallai theorem for polynomials

__
TR17-043
| 3rd March 2017
__

Alexey Milovanov, Nikolay Vereshchagin#### Stochasticity in Algorithmic Statistics for Polynomial Time

Alexey Milovanov

This text is a development of a preprint of Ankit Gupta.

We present an approach for devising a deterministic polynomial time whitekbox identity testing (PIT) algorithm for depth-$4$ circuits with bounded top fanin.

This approach is similar to Kayal-Saraf approach for depth-$3$ circuits. Kayal and Saraf based their ...
more >>>

Alexey Milovanov, Nikolay Vereshchagin

A fundamental notion in Algorithmic Statistics is that of a stochastic object, i.e., an object having a simple plausible explanation. Informally, a probability distribution is a plausible explanation for $x$ if it looks likely that $x$ was drawn at random with respect to that distribution. In this paper, we ... more >>>