Modified Gauss-Newton Algorithms under Noise

Gauss-Newton methods and their stochastic version have been widely used in machine learning and signal processing. Their nonsmooth counterparts, modified Gauss-Newton or prox-linear algorithms, can lead to contrasting outcomes when compared to gradient descent in large-scale statistical settings. We...

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Bibliographic Details
Published in:IEEE Statistical Signal Processing Workshop pp. 51 - 55
Main Authors: Pillutla, Krishna, Roulet, Vincent, Kakade, Sham M., Harchaoui, Zaid
Format: Conference Proceeding
Language:English
Published: IEEE 02.07.2023
Subjects:
Composite problems
Conferences
Convergence
Gauss-Newton
Machine learning
Machine learning algorithms
Nonsmooth
Prediction algorithms
Signal processing
Signal processing algorithms
ISSN:2693-3551
Online Access:Get full text
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Summary:Gauss-Newton methods and their stochastic version have been widely used in machine learning and signal processing. Their nonsmooth counterparts, modified Gauss-Newton or prox-linear algorithms, can lead to contrasting outcomes when compared to gradient descent in large-scale statistical settings. We explore the contrasting performance of these two classes of algorithms in theory on a stylized statistical example, and experimentally on learning problems including structured prediction. In theory, we delineate the regime where the quadratic convergence of the modified Gauss-Newton method is active under statistical noise. In the experiments, we underline the versatility of stochastic (sub)-gradient descent to minimize nonsmooth composite objectives.
ISSN:2693-3551
DOI:10.1109/SSP53291.2023.10207977