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02/21/2023
On the Optimization Landscape of Burer-Monteiro Factorization: When do Global Solutions Correspond to Ground Truth?
In low-rank matrix recovery, the goal is to recover a low-rank matrix, g...
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10/01/2022
Behind the Scenes of Gradient Descent: A Trajectory Analysis via Basis Function Decomposition
This work analyzes the solution trajectory of gradient-based algorithms ...
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07/15/2022
Blessing of Nonconvexity in Deep Linear Models: Depth Flattens the Optimization Landscape Around the True Solution
This work characterizes the effect of depth on the optimization landscap...
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02/17/2022
Global Convergence of Sub-gradient Method for Robust Matrix Recovery: Small Initialization, Noisy Measurements, and Over-parameterization
In this work, we study the performance of sub-gradient method (SubGM) on...
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06/11/2021
Towards Understanding Generalization via Decomposing Excess Risk Dynamics
Generalization is one of the critical issues in machine learning. Howeve...
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02/05/2021