Exploring loss function topology with cyclical learning rates
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Abstract (arXiv)
We present observations and discussion of previously unreported phenomena discovered while training residual networks. The goal of this work is to better understand the nature of neural networks through the examination of these new empirical results. These behaviors were identified through the application of Cyclical Learning Rates (CLR) and linear network interpolation. Among these behaviors are counterintuitive increases and decreases in training loss and instances of rapid training. For example, we demonstrate how CLR can produce greater testing accuracy than traditional training despite using large learning rates. Files to replicate these results are available at https://github.com/lnsmith54/exploring-loss
Key facts. Cited by 11 papers in the map (data through 7 Oct 2026). First posted on arXiv 14 Feb 2017.
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Citing papers per year: 2022: 2; 2023: 5; 2024: 1; 2025: 3.
11 papers.
- 2023Predicting Grokking Long Before it Happens: A look into the loss landscape of models which grokcited by 31
- 2022Stochastic Weight Averaging Revisitedcited by 26
- 2023Sparse is Enough in Fine-tuning Pre-trained Large Language Modelscited by 21
- 2025Unveiling the Basin-Like Loss Landscape in Large Language Modelscited by 13
- 2023Data efficiency and extrapolation trends in neural network interatomic potentialscited by 10
- 2022Fast-Convergent Federated Learning via Cyclic Aggregationcited by 6
- 2023Bringing the Discussion of Minima Sharpness to the Audio Domain: a Filter-Normalised Evaluation for Acoustic Scene Classificationcited by 4
- 2023Cyclic and Randomized Stepsizes Invoke Heavier Tails in SGD than Constant Stepsizecited by 2
- 2024LossLens: Diagnostics for Machine Learning through Loss Landscape Visual Analyticscited by 2
- 2025Regime-Switching Langevin Monte Carlo Algorithmscited by 2
- 2025Visualization and Analysis of the Loss Landscape in Graph Neural Networkscited by 0
- 2025Visualization and Analysis of the Loss Landscape in Graph Neural Networks15 Sep 2025
- 2025Regime-Switching Langevin Monte Carlo Algorithms31 Aug 2025
- 2025Unveiling the Basin-Like Loss Landscape in Large Language Models23 May 2025
- 2024LossLens: Diagnostics for Machine Learning through Loss Landscape Visual Analytics17 Dec 2024
- 2023Sparse is Enough in Fine-tuning Pre-trained Large Language Models19 Dec 2023
- 2023Bringing the Discussion of Minima Sharpness to the Audio Domain: a Filter-Normalised Evaluation for Acoustic Scene Classification28 Sep 2023
- 2023Predicting Grokking Long Before it Happens: A look into the loss landscape of models which grok23 Jun 2023
- 2023Data efficiency and extrapolation trends in neural network interatomic potentials12 Feb 2023
- 2023Cyclic and Randomized Stepsizes Invoke Heavier Tails in SGD than Constant Stepsize10 Feb 2023
- 2022Fast-Convergent Federated Learning via Cyclic Aggregation29 Oct 2022
- 2022Stochastic Weight Averaging Revisited3 Jan 2022