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Open AccessProceedings Article

No more pesky learning rates

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TLDR
This paper proposed a method to automatically adjust multiple learning rates so as to minimize the expected error at any one time, which relies on local gradient variations across samples, making it suitable for non-stationary problems, and the resulting algorithm matches the performance of SGD or other adaptive approaches with their best settings obtained through systematic search.
Abstract
The performance of stochastic gradient descent (SGD) depends critically on how learning rates are tuned and decreased over time. We propose a method to automatically adjust multiple learning rates so as to minimize the expected error at any one time. The method relies on local gradient variations across samples. In our approach, learning rates can increase as well as decrease, making it suitable for non-stationary problems. Using a number of convex and non-convex learning tasks, we show that the resulting algorithm matches the performance of SGD or other adaptive approaches with their best settings obtained through systematic search, and effectively removes the need for learning rate tuning.

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References
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Learning Multiple Layers of Features from Tiny Images

TL;DR: In this paper, the authors describe how to train a multi-layer generative model of natural images, using a dataset of millions of tiny colour images, described in the next section.
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Understanding the difficulty of training deep feedforward neural networks

TL;DR: The objective here is to understand better why standard gradient descent from random initialization is doing so poorly with deep neural networks, to better understand these recent relative successes and help design better algorithms in the future.
Journal ArticleDOI

A Stochastic Approximation Method

TL;DR: In this article, a method for making successive experiments at levels x1, x2, ··· in such a way that xn will tend to θ in probability is presented.
Proceedings Article

Adaptive Subgradient Methods for Online Learning and Stochastic Optimization.

TL;DR: Adaptive subgradient methods as discussed by the authors dynamically incorporate knowledge of the geometry of the data observed in earlier iterations to perform more informative gradient-based learning, which allows us to find needles in haystacks in the form of very predictive but rarely seen features.
Journal Article

Adaptive Subgradient Methods for Online Learning and Stochastic Optimization

TL;DR: This work describes and analyze an apparatus for adaptively modifying the proximal function, which significantly simplifies setting a learning rate and results in regret guarantees that are provably as good as the best proximal functions that can be chosen in hindsight.