Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
194 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

A Multi-Horizon Quantile Recurrent Forecaster (1711.11053v2)

Published 29 Nov 2017 in stat.ML

Abstract: We propose a framework for general probabilistic multi-step time series regression. Specifically, we exploit the expressiveness and temporal nature of Sequence-to-Sequence Neural Networks (e.g. recurrent and convolutional structures), the nonparametric nature of Quantile Regression and the efficiency of Direct Multi-Horizon Forecasting. A new training scheme, forking-sequences, is designed for sequential nets to boost stability and performance. We show that the approach accommodates both temporal and static covariates, learning across multiple related series, shifting seasonality, future planned event spikes and cold-starts in real life large-scale forecasting. The performance of the framework is demonstrated in an application to predict the future demand of items sold on Amazon.com, and in a public probabilistic forecasting competition to predict electricity price and load.

Citations (390)

Summary

  • The paper introduces the MQ-R(C)NN model that integrates Sequence-to-Sequence learning with direct multi-horizon quantile forecasting to enhance long-term prediction accuracy.
  • It employs a unique forking-sequences training paradigm and dual MLP branches to effectively stabilize training and capture complex temporal dependencies.
  • Empirical evaluations on Amazon demand and public electricity forecasting datasets demonstrate significant performance gains over conventional LSTM benchmarks.

Overview of Multi-Horizon Quantile Recurrent Forecaster

This paper proposes a robust framework for addressing the challenges inherent in multi-step time series forecasting by leveraging the strengths of Sequence-to-Sequence neural networks, Quantile Regression, and Direct Multi-Horizon Forecasting. The construction of the model, termed MQ-R(C)NN, integrates these elements to facilitate probabilistic time series regression across diverse real-world forecasting applications.

Methodological Contributions and Architecture

The central innovation of the paper lies in the application of a Sequence-to-Sequence framework, adapted to incorporate multi-horizon quantile forecasting. In contrast to conventional recursive strategies that propagate step-by-step, MQ-R(C)NN employs a Direct Multi-Horizon strategy, aligning it closer to tasks of temporal prediction rather than autoregressive assumptions. This choice underpins a robust performance enhancement, particularly in scenarios demanding long-term horizon forecasts.

A quintessential component of the approach is the forking-sequences training paradigm. This method diverges from traditional training schemes by embedding multiple prediction sequences simultaneously within RNN layers, aggregating errors efficiently during backpropagation. Such a strategy effectively stabilizes and accelerates the training process, making it computationally appealing for large-scale applications.

The architecture further comprises dual MLP branches. The global MLP generates horizon-specific contexts along with a horizon-agnostic context, while the local MLP focuses on outputting precise quantile forecasts. This architectural alignment allows for adept handling of non-linearity and temporal dependencies, offering capacity for modeling complex inputs entailing both temporal and static covariates.

Empirical Evaluation and Results

The experimental results demonstrate the approach's efficacy on extensive datasets, notably on Amazon's retail demand forecasts and in public electricity forecasting competitions. In Amazon's context, the MQ-RNN significantly surpasses existing benchmarks, indicating its suitability for industrial-scale forecasting tasks. Furthermore, integration of alternatives like NARX-inspired encoders and WaveNet-derived architectures showcases prominent gains over conventional LSTM structures, emphasizing the flexibility of the MQ-R(C)NN framework.

The paper also highlights the success of MQ-RNN in the GEFCom2014 competition setup, where it excels by effectively calibrating the quantile forecasts across diverse horizons. The resultant models not only achieve lower quantile losses but also exhibit commendable calibration and sharpness properties, central to risk management and decision-making in practice.

Implications and Future Directions

This research contributes significantly to the domain of time series forecasting, endorsing a multi-step probabilistic approach as both practical and theoretically prudent. The nonparametric Quantile Regression approach, devoid of distributional assumptions, expands the utility of the model in contexts requiring diverse loss specification and precision metrics.

The implications of this work extend to enhancing decision-making strategies in sectors reliant on precise demand prediction and risk assessment. Future directions should consider explicit extensions to multivariate forecasting and the joint distribution of horizons, which could unlock further potential for this methodology in capturing intricate temporal relationships across concurrent series.

MQ-R(C)NN's adaptability and performance, as evidenced by the experiments, herald a significant stride in neural forecasting models, fostering advances in both academic inquiry and practical deployment in time-sensitive and predictive analytics.