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Online Learning of a Memory for Learning Rates (1709.06709v2)

Published 20 Sep 2017 in cs.LG

Abstract: The promise of learning to learn for robotics rests on the hope that by extracting some information about the learning process itself we can speed up subsequent similar learning tasks. Here, we introduce a computationally efficient online meta-learning algorithm that builds and optimizes a memory model of the optimal learning rate landscape from previously observed gradient behaviors. While performing task specific optimization, this memory of learning rates predicts how to scale currently observed gradients. After applying the gradient scaling our meta-learner updates its internal memory based on the observed effect its prediction had. Our meta-learner can be combined with any gradient-based optimizer, learns on the fly and can be transferred to new optimization tasks. In our evaluations we show that our meta-learning algorithm speeds up learning of MNIST classification and a variety of learning control tasks, either in batch or online learning settings.

Citations (21)

Summary

  • The paper introduces a meta-learning algorithm that maintains a memory for learning rates to dynamically predict optimal gradient scaling and accelerate convergence.
  • It integrates with any gradient-based optimizer, functioning effectively in both batch and online settings to reduce hyperparameter tuning overhead.
  • Experiments on MNIST classification and robotic inverse dynamics show faster convergence and improved data efficiency compared to traditional methods.

Online Learning of a Memory for Learning Rates

The paper "Online Learning of a Memory for Learning Rates" by Franziska Meier, Daniel Kappler, and Stefan Schaal presents an innovative approach to meta-learning. The authors introduce a computationally efficient algorithm that builds an online memory model for optimizing learning rates based on observed gradient behaviors, enhancing the efficiency and speed of learning across various tasks. The proposed method can be integrated with any gradient-based optimizer and functions effectively in both batch and online learning environments.

The primary contribution of this paper is the development of a meta-learning algorithm focused on maintaining an internal memory for learning rates. This system aims to accelerate convergence during optimization tasks by utilizing insights from previous learning experiences. The motivation stems from human cognitive capabilities where higher-level meta-learners guide the acquisition of new skills by understanding the learning process itself. Implementing this concept in robotic learning, the authors demonstrate a significant reduction in task-specific learning durations, applying their method in both supervised and control learning contexts such as MNIST classification and robot inverse dynamics models.

In this investigation, the meta-learning component, referred to as the "memory of learning rates," dynamically adjusts to predict the optimal scaling of the observed gradients. This prediction is adapted in real-time as the meta-learner updates its internal state based on the effect of these predictions. The design ensures efficient use of computational resources and immediate applicability during the learning processes. The derivation and implementation of this feature involve adaptive gradient transformations encapsulated within the memory, which is represented using a locally weighted regression approach. This representation allows for incrementally learning a functional mapping from gradient statistics to learning rate adjustments.

The experimental evaluation underscores the utility of the proposed algorithm. In binary MNIST classification tasks and inverse dynamics learning for robotic control, the algorithm demonstrated accelerated convergence compared to traditional optimization methods without meta-learning. Particularly notable is the improved performance in sequential learning scenarios where learned memories from one task are transferred to similar tasks, yielding faster convergence and greater data efficiency.

Among the advantages highlighted, the algorithm's online nature reduces the necessity for preliminary data collection phases typical in other learning-to-learn methods. This facet grants the algorithm substantial adaptability for evolving learning landscapes and significantly widens its applicability across numerous domains. The paper contrasts the performance of their meta-learning approach with existing methods, including adaptive optimizers like Adam and other learned optimizers, demonstrating the benefits of immediate and continuous memory updates.

In terms of future implications, this work suggests a path toward versatile and efficient autonomous learning systems capable of adaptive behavior in dynamic environments. The potential for extending this framework to more complex and high-dimensional tasks is immense, especially within reinforcement learning and other iterative optimization challenges. The authors also hint at enhancing the memory's representational capabilities to capture intricate dependencies beyond simple gradient adaptation.

In conclusion, this paper offers a compelling approach to tackling the notorious problem of arduous hyperparameter tuning in machine learning. The capacity to learn learning strategies, encapsulate this knowledge, and transfer it across tasks holds promise for more intelligent, adaptable, and efficient training procedures in machine learning and robotics. The implications for reducing the experimental demands in robotic applications and improving transfer learning across real and simulated environments offer a promising direction for future research and development in the field.

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