Rényi Divergence Deep Mutual Learning
- URL: http://arxiv.org/abs/2209.05732v7
- Date: Wed, 18 Sep 2024 11:52:04 GMT
- Title: Rényi Divergence Deep Mutual Learning
- Authors: Weipeng Huang, Junjie Tao, Changbo Deng, Ming Fan, Wenqiang Wan, Qi Xiong, Guangyuan Piao,
- Abstract summary: This paper revisits Deep Learning Mutual (DML) as a simple yet effective computing paradigm.
We propose using R'enyi divergence instead of the KL divergence, which is more flexible and limited.
Our empirical results demonstrate the advantage combining DML and R'enyi divergence, leading to further improvement in model generalization.
- Score: 3.682680183777648
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: This paper revisits Deep Mutual Learning (DML), a simple yet effective computing paradigm. We propose using R\'{e}nyi divergence instead of the KL divergence, which is more flexible and tunable, to improve vanilla DML. This modification is able to consistently improve performance over vanilla DML with limited additional complexity. The convergence properties of the proposed paradigm are analyzed theoretically, and Stochastic Gradient Descent with a constant learning rate is shown to converge with $\mathcal{O}(1)$-bias in the worst case scenario for nonconvex optimization tasks. That is, learning will reach nearby local optima but continue searching within a bounded scope, which may help mitigate overfitting. Finally, our extensive empirical results demonstrate the advantage of combining DML and R\'{e}nyi divergence, leading to further improvement in model generalization.
Related papers
- A Stochastic Approach to Bi-Level Optimization for Hyperparameter Optimization and Meta Learning [74.80956524812714]
We tackle the general differentiable meta learning problem that is ubiquitous in modern deep learning.
These problems are often formalized as Bi-Level optimizations (BLO)
We introduce a novel perspective by turning a given BLO problem into a ii optimization, where the inner loss function becomes a smooth distribution, and the outer loss becomes an expected loss over the inner distribution.
arXiv Detail & Related papers (2024-10-14T12:10:06Z) - Surgical Feature-Space Decomposition of LLMs: Why, When and How? [8.826164604720738]
We empirically study the efficacy of weight and feature space decomposition in transformer-based language models.
We show that surgical decomposition provides critical insights into the trade-off between compression and language modelling performance.
We extend our investigation to the implications of low-rank approximations on model bias.
arXiv Detail & Related papers (2024-05-17T07:34:03Z) - Stable Nonconvex-Nonconcave Training via Linear Interpolation [51.668052890249726]
This paper presents a theoretical analysis of linearahead as a principled method for stabilizing (large-scale) neural network training.
We argue that instabilities in the optimization process are often caused by the nonmonotonicity of the loss landscape and show how linear can help by leveraging the theory of nonexpansive operators.
arXiv Detail & Related papers (2023-10-20T12:45:12Z) - Amortizing intractable inference in large language models [56.92471123778389]
We use amortized Bayesian inference to sample from intractable posterior distributions.
We empirically demonstrate that this distribution-matching paradigm of LLM fine-tuning can serve as an effective alternative to maximum-likelihood training.
As an important application, we interpret chain-of-thought reasoning as a latent variable modeling problem.
arXiv Detail & Related papers (2023-10-06T16:36:08Z) - Extension of Transformational Machine Learning: Classification Problems [0.0]
This study explores the application and performance of Transformational Machine Learning (TML) in drug discovery.
TML, a meta learning algorithm, excels in exploiting common attributes across various domains.
The drug discovery process, which is complex and time-consuming, can benefit greatly from the enhanced prediction accuracy.
arXiv Detail & Related papers (2023-08-07T07:34:18Z) - Debiasing Conditional Stochastic Optimization [15.901623717313493]
We study the conditional causal optimization (CSO) problem which covers a variety of applications including portfolio selection, reinforcement learning, robust learning, etc.
We develop new algorithms for the finite variant variant CSO problem that significantly improve upon existing results.
We believe that our technique has the potential to be a useful tool for addressing similar challenges in other optimization problems.
arXiv Detail & Related papers (2023-04-20T19:19:55Z) - Theoretical Characterization of the Generalization Performance of
Overfitted Meta-Learning [70.52689048213398]
This paper studies the performance of overfitted meta-learning under a linear regression model with Gaussian features.
We find new and interesting properties that do not exist in single-task linear regression.
Our analysis suggests that benign overfitting is more significant and easier to observe when the noise and the diversity/fluctuation of the ground truth of each training task are large.
arXiv Detail & Related papers (2023-04-09T20:36:13Z) - Differentiable Annealed Importance Sampling and the Perils of Gradient
Noise [68.44523807580438]
Annealed importance sampling (AIS) and related algorithms are highly effective tools for marginal likelihood estimation.
Differentiability is a desirable property as it would admit the possibility of optimizing marginal likelihood as an objective.
We propose a differentiable algorithm by abandoning Metropolis-Hastings steps, which further unlocks mini-batch computation.
arXiv Detail & Related papers (2021-07-21T17:10:14Z) - Convergence of Meta-Learning with Task-Specific Adaptation over Partial
Parameters [152.03852111442114]
Although model-agnostic metalearning (MAML) is a very successful algorithm meta-learning practice, it can have high computational complexity.
Our paper shows that such complexity can significantly affect the overall convergence performance of ANIL.
arXiv Detail & Related papers (2020-06-16T19:57:48Z) - Joint Stochastic Approximation and Its Application to Learning Discrete
Latent Variable Models [19.07718284287928]
We show that the difficulty of obtaining reliable gradients for the inference model and the drawback of indirectly optimizing the target log-likelihood can be gracefully addressed.
We propose to directly maximize the target log-likelihood and simultaneously minimize the inclusive divergence between the posterior and the inference model.
The resulting learning algorithm is called joint SA (JSA)
arXiv Detail & Related papers (2020-05-28T13:50:08Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.