activity
20172022
most citedGeneral Low-rank Matrix Optimization: Geometric Analysis and Sharper Bounds

5 citations · 8 across the 7 of their papers we have counts for

collaborators

16 papers

cs.LG2022

Non-stationary Risk-sensitive Reinforcement Learning: Near-optimal Dynamic Regret, Adaptive Detection, and Separation Design

Yuhao Ding, Ming Jin, Javad Lavaei

We study risk-sensitive reinforcement learning (RL) based on an entropic risk measure in episodic non-stationary Markov decision processes (MDPs). Both the reward functions and the…

eess.SY2022

Learning of Dynamical Systems under Adversarial Attacks -- Null Space Property Perspective

Han Feng, Baturalp Yalcin, Javad Lavaei

We study the identification of a linear time-invariant dynamical system affected by large-and-sparse disturbances modeling adversarial attacks or faults. Under the assumption that…

math.OC20212 cited

Factorization Approach for Low-complexity Matrix Completion Problems: Exponential Number of Spurious Solutions and Failure of Gradient Methods

Baturalp Yalcin, Haixiang Zhang, Javad Lavaei +1

It is well-known that the Burer-Monteiro (B-M) factorization approach can efficiently solve low-rank matrix optimization problems under the RIP condition. It is natural to ask whet…

math.OC20215 cited

General Low-rank Matrix Optimization: Geometric Analysis and Sharper Bounds

Haixiang Zhang, Yingjie Bi, Javad Lavaei

This paper considers the global geometry of general low-rank minimization problems via the Burer-Monterio factorization approach. For the rank- case, we prove that there is no s…

math.OC2020

Global and Local Analyses of Nonlinear Low-Rank Matrix Recovery Problems

Yingjie Bi, Javad Lavaei

The restricted isometry property (RIP) is a well-known condition that guarantees the absence of spurious local minima in low-rank matrix recovery problems with linear measurements.…

cs.LG2020

When Does MAML Objective Have Benign Landscape?

Igor Molybog, Javad Lavaei

The paper studies the complexity of the optimization problem behind the Model-Agnostic Meta-Learning (MAML) algorithm. The goal of the study is to determine the global convergence…