Search Results for author: Georgios Giannakis

Found 3 papers, 0 papers with code

Decentralized TD Tracking with Linear Function Approximation and its Finite-Time Analysis

no code implementations NeurIPS 2020 Gang Wang, Songtao Lu, Georgios Giannakis, Gerald Tesauro, Jian Sun

The present contribution deals with decentralized policy evaluation in multi-agent Markov decision processes using temporal-difference (TD) methods with linear function approximation for scalability.

Solving Most Systems of Random Quadratic Equations

no code implementations NeurIPS 2017 Gang Wang, Georgios Giannakis, Yousef Saad, Jie Chen

For certain random measurement models, the proposed procedure returns the true solution $\bm{x}$ with high probability in time proportional to reading the data $\{(\bm{a}_i;y_i)\}_{1\le i \le m}$, provided that the number $m$ of equations is some constant $c>0$ times the number $n$ of unknowns, that is, $m\ge cn$.

Computational Efficiency

Solving Random Systems of Quadratic Equations via Truncated Generalized Gradient Flow

no code implementations NeurIPS 2016 Gang Wang, Georgios Giannakis

This paper puts forth a novel algorithm, termed \emph{truncated generalized gradient flow} (TGGF), to solve for $\bm{x}\in\mathbb{R}^n/\mathbb{C}^n$ a system of $m$ quadratic equations $y_i=|\langle\bm{a}_i,\bm{x}\rangle|^2$, $i=1, 2,\ldots, m$, which even for $\left\{\bm{a}_i\in\mathbb{R}^n/\mathbb{C}^n\right\}_{i=1}^m$ random is known to be \emph{NP-hard} in general.

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