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Main Authors: Xie, Tiankai, Chen, Jiaqing, Yang, Yaoqing, Geniesse, Caleb, Shi, Ge, Chaudhari, Ajinkya, Cava, John Kevin, Mahoney, Michael W., Perciano, Talita, Weber, Gunther H., Maciejewski, Ross
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2412.13321
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author Xie, Tiankai
Chen, Jiaqing
Yang, Yaoqing
Geniesse, Caleb
Shi, Ge
Chaudhari, Ajinkya
Cava, John Kevin
Mahoney, Michael W.
Perciano, Talita
Weber, Gunther H.
Maciejewski, Ross
author_facet Xie, Tiankai
Chen, Jiaqing
Yang, Yaoqing
Geniesse, Caleb
Shi, Ge
Chaudhari, Ajinkya
Cava, John Kevin
Mahoney, Michael W.
Perciano, Talita
Weber, Gunther H.
Maciejewski, Ross
contents Modern machine learning often relies on optimizing a neural network's parameters using a loss function to learn complex features. Beyond training, examining the loss function with respect to a network's parameters (i.e., as a loss landscape) can reveal insights into the architecture and learning process. While the local structure of the loss landscape surrounding an individual solution can be characterized using a variety of approaches, the global structure of a loss landscape, which includes potentially many local minima corresponding to different solutions, remains far more difficult to conceptualize and visualize. To address this difficulty, we introduce LossLens, a visual analytics framework that explores loss landscapes at multiple scales. LossLens integrates metrics from global and local scales into a comprehensive visual representation, enhancing model diagnostics. We demonstrate LossLens through two case studies: visualizing how residual connections influence a ResNet-20, and visualizing how physical parameters influence a physics-informed neural network (PINN) solving a simple convection problem.
format Preprint
id arxiv_https___arxiv_org_abs_2412_13321
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle LossLens: Diagnostics for Machine Learning through Loss Landscape Visual Analytics
Xie, Tiankai
Chen, Jiaqing
Yang, Yaoqing
Geniesse, Caleb
Shi, Ge
Chaudhari, Ajinkya
Cava, John Kevin
Mahoney, Michael W.
Perciano, Talita
Weber, Gunther H.
Maciejewski, Ross
Machine Learning
Modern machine learning often relies on optimizing a neural network's parameters using a loss function to learn complex features. Beyond training, examining the loss function with respect to a network's parameters (i.e., as a loss landscape) can reveal insights into the architecture and learning process. While the local structure of the loss landscape surrounding an individual solution can be characterized using a variety of approaches, the global structure of a loss landscape, which includes potentially many local minima corresponding to different solutions, remains far more difficult to conceptualize and visualize. To address this difficulty, we introduce LossLens, a visual analytics framework that explores loss landscapes at multiple scales. LossLens integrates metrics from global and local scales into a comprehensive visual representation, enhancing model diagnostics. We demonstrate LossLens through two case studies: visualizing how residual connections influence a ResNet-20, and visualizing how physical parameters influence a physics-informed neural network (PINN) solving a simple convection problem.
title LossLens: Diagnostics for Machine Learning through Loss Landscape Visual Analytics
topic Machine Learning
url https://arxiv.org/abs/2412.13321