Strong convexity-guided hyper-parameter optimization for flatter losses
Not on the map. Why?
Abstract (arXiv)
We propose a novel white-box approach to hyper-parameter optimization. Motivated by recent work establishing a relationship between flat minima and generalization, we first establish a relationship between the strong convexity of the loss and its flatness. Based on this, we seek to find hyper-parameter configurations that improve flatness by minimizing the strong convexity of the loss. By using the structure of the underlying neural network, we derive closed-form equations to approximate the strong convexity parameter, and attempt to find hyper-parameters that minimize it in a randomized fashion. Through experiments on 14 classification datasets, we show that our method achieves strong performance at a fraction of the runtime.
Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 38 of its 75 references that are in the map. First posted on arXiv 7 Feb 2024.
Builds on
38 of 75 references.
References · 38
- 2016On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minimacited by 1,337
- 2017Visualizing the Loss Landscape of Neural Netscited by 1,126
- 2013Exact solutions to the nonlinear dynamics of learning in deep linear neural networkscited by 748
- 2016Hyperband: A Novel Bandit-Based Approach to Hyperparameter Optimizationcited by 688
- 2017Exploring Generalization in Deep Learningcited by 595
- 2015Train faster, generalize better: Stability of stochastic gradient descentcited by 547
- 2017Computing Nonvacuous Generalization Bounds for Deep (Stochastic) Neural Networks with Many More Parameters than Training Datacited by 527
- 2019Quantifying the Carbon Emissions of Machine Learningcited by 516
- 2019Fantastic Generalization Measures and Where to Find Themcited by 507
- 2018BOHB: Robust and Efficient Hyperparameter Optimization at Scalecited by 466
- 2017Sharp Minima Can Generalize For Deep Netscited by 462
- 2019Scalable Global Optimization via Local Bayesian Optimizationcited by 359
26 more
- 2016Entropy-SGD: Biasing Gradient Descent Into Wide Valleyscited by 357
- 2018How Does Batch Normalization Help Optimization?cited by 355
- 2014In Search of the Real Inductive Bias: On the Role of Implicit Regularization in Deep Learningcited by 339
- 2017Nearly-tight VC-dimension and pseudodimension bounds for piecewise linear neural networkscited by 304
- 2014Identifying and attacking the saddle point problem in high-dimensional non-convex optimizationcited by 286
- 2015Scalable Bayesian Optimization Using Deep Neural Networkscited by 284
- 2014The Loss Surfaces of Multilayer Networkscited by 278
- 2017Three Factors Influencing Minima in SGDcited by 270
- 2018A disciplined approach to neural network hyper-parameters: Part 1 -- learning rate, batch size, momentum, and weight decaycited by 223
- 2019Limitations of the Empirical Fisher Approximation for Natural Gradient Descentcited by 213
- 2014Predictive Entropy Search for Efficient Global Optimization of Black-box Functionscited by 201
- 2021Hyperparameter Optimization: Foundations, Algorithms, Best Practices and Open Challengescited by 143
- 2023Neural Architecture Search: Insights from 1000 Paperscited by 136
- 2021HPOBench: A Collection of Reproducible Multi-Fidelity Benchmark Problems for HPOcited by 111
- 2014Freeze-Thaw Bayesian Optimizationcited by 86
- 2020HEBO Pushing The Limits of Sample-Efficient Hyperparameter Optimisationcited by 81
- 2021HPO-B: A Large-Scale Reproducible Benchmark for Black-Box HPO based on OpenMLcited by 75
- 2021YAHPO Gym -- An Efficient Multi-Objective Multi-Fidelity Benchmark for Hyperparameter Optimizationcited by 61
- 2023The Implicit Regularization of Dynamical Stability in Stochastic Gradient Descentcited by 44
- 2016Unreasonable Effectiveness of Learning Neural Networks: From Accessible States and Robust Ensembles to Basic Algorithmic Schemescited by 40
- 2015Subdominant Dense Clusters Allow for Simple Learning and High Computational Performance in Neural Networks with Discrete Synapsescited by 39
- 2023Sharpness Minimization Algorithms Do Not Only Minimize Sharpness To Achieve Better Generalizationcited by 39
- 2023PriorBand: Practical Hyperparameter Optimization in the Age of Deep Learningcited by 31
- 2018Negative Log Likelihood Ratio Loss for Deep Neural Network Classificationcited by 17
- 2018500+ Times Faster Than Deep Learning (A Case Study Exploring Faster Methods for Text Mining StackOverflow)cited by 13
- 2019How to "DODGE" Complex Software Analytics?cited by 11
Built on by
Not cited yet.