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Meta-learning framework with applications to zero-shot time-series forecasting (2002.02887v3)

Published 7 Feb 2020 in cs.LG and stat.ML

Abstract: Can meta-learning discover generic ways of processing time series (TS) from a diverse dataset so as to greatly improve generalization on new TS coming from different datasets? This work provides positive evidence to this using a broad meta-learning framework which we show subsumes many existing meta-learning algorithms. Our theoretical analysis suggests that residual connections act as a meta-learning adaptation mechanism, generating a subset of task-specific parameters based on a given TS input, thus gradually expanding the expressive power of the architecture on-the-fly. The same mechanism is shown via linearization analysis to have the interpretation of a sequential update of the final linear layer. Our empirical results on a wide range of data emphasize the importance of the identified meta-learning mechanisms for successful zero-shot univariate forecasting, suggesting that it is viable to train a neural network on a source TS dataset and deploy it on a different target TS dataset without retraining, resulting in performance that is at least as good as that of state-of-practice univariate forecasting models.

Citations (90)

Summary

Overview of Meta-Learning Framework for Zero-Shot Time Series Forecasting

The paper investigates the potential of meta-learning approaches in delivering robust solutions for zero-shot time series (TS) forecasting. The paper suggests that meta-learning can potentiate the cross-dataset generalization capability of neural networks, thereby enhancing their forecasting accuracy without retraining on a target TS dataset. The proposed framework subsumes several renowned meta-learning algorithms and theoretically underscores mechanisms like residual connections, which enable on-the-fly generation of task-specific parameters to increase the expressive power of the model.

Meta-Learning Framework and Its Application

The meta-learning framework presented in the paper generalizes various meta-learning strategies by organizing them into two core loops: the inner task-specific learning loop and the outer task-generalizing loop. In this context, the framework emphasizes fast task adaptation through dynamically generated parameters when provided with minimal task information, typically represented as the input time series.

The paper applies this framework to the N-BEATS architecture, illustrating how it performs zero-shot forecasting efficiently. By conducting a linear approximation analysis, the authors argue that the residual connections in N-BEATS serve as a meta-learning mechanism that iteratively updates the model parameters, aligning with the framework's inner meta-learning loop.

Empirical Evidence on Zero-Shot Forecasting

A thorough empirical evaluation is conducted across diverse datasets such as M4, M3, tourism, electricity, and others. The experiments illustrate neural network efficacy in adapting to new TS datasets, achieving performance comparable to state-of-the-art univariate forecasting models without retraining.

By using the N-BEATS architecture trained on the M4 and fred source datasets, the paper provides strong empirical evidence for successful zero-shot transfer learning. Results indicate that N-BEATS provides competitive benchmark performance, often surpassing traditional statistical models even when applied in a zero-shot regime to various target datasets.

Theoretical and Practical Implications

Theoretically, this paper contributes to understanding how neural architectures can utilize residuals and other mechanisms for meta-learning. It extends the conjecture that neural networks, with enhanced design incorporating dynamic parameter generation via residuals, can capture and transfer forecasting knowledge across TS tasks.

Practically, this introduces a cost-effective approach to deploying forecasting models in industries where gathering domain-specific data for every deployment scenario is cumbersome. The significant ability of N-BEATS to remain robust in the zero-shot setting demonstrates potential applications in sectors such as finance, energy demand forecasting, and supply chain management.

Future Developments and Research Directions

Future research can explore various residual-based architectures and expansion of the meta-learning framework to cover broader types of neural network architectures. There is also the potential for advancing mechanism validation across more challenging and broader real-world datasets. Investigating the trade-offs between model complexity and transfer accuracy will be essential for optimizing memory-efficient and computationally inexpensive forecasting solutions. The paper's implications provide a pathway for continued exploration in the utilization of meta-learning for overcoming traditional machine learning limitations in time series forecasting and beyond.

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