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Deep and Confident Prediction for Time Series at Uber (1709.01907v1)

Published 6 Sep 2017 in stat.ML

Abstract: Reliable uncertainty estimation for time series prediction is critical in many fields, including physics, biology, and manufacturing. At Uber, probabilistic time series forecasting is used for robust prediction of number of trips during special events, driver incentive allocation, as well as real-time anomaly detection across millions of metrics. Classical time series models are often used in conjunction with a probabilistic formulation for uncertainty estimation. However, such models are hard to tune, scale, and add exogenous variables to. Motivated by the recent resurgence of Long Short Term Memory networks, we propose a novel end-to-end Bayesian deep model that provides time series prediction along with uncertainty estimation. We provide detailed experiments of the proposed solution on completed trips data, and successfully apply it to large-scale time series anomaly detection at Uber.

Citations (333)

Summary

  • The paper introduces a novel framework that merges Bayesian neural networks with LSTM to decompose prediction uncertainty into model, noise, and misspecification components.
  • It employs Monte Carlo dropout and an encoder-decoder structure to effectively capture temporal patterns and integrate exogenous variables.
  • Experimental results demonstrate significant SMAPE reductions and reliable predictive intervals, enhancing anomaly detection in dynamic transportation networks.

Insights on "Deep and Confident Prediction for Time Series at Uber"

The paper entitled "Deep and Confident Prediction for Time Series at Uber" introduces an innovative approach to probabilistic time series forecasting by integrating Bayesian neural networks (BNNs) with Long Short Term Memory (LSTM) frameworks. This research addresses the often complex challenge of estimating prediction uncertainty, a task that is vital for anomaly detection and efficient resource allocation, especially in dynamic environments with fluctuating patterns, such as transportation networks.

Key Contributions and Methodology

The work extends traditional LSTM capabilities by incorporating Bayesian principles to enhance uncertainty estimation. By employing a Bayesian Neural Network approach, the authors effectively separate prediction uncertainty into three constituent components: model uncertainty, inherent noise, and model misspecification. The introduction of model misspecification uncertainty into the context of time series anomaly detection is noteworthy, highlighting a conceptual gap in previous methodologies.

The paper's focal innovation lies in the utilization of Monte Carlo dropout (MC dropout) to approximate model uncertainty without the need to alter the existing neural network architectures. MC dropout serves as a computationally efficient mechanism to simulate Bayesian inference, enabling robust uncertainty estimations with minimal overhead.

The authors also integrate a novel encoder-decoder framework that adeptly captures temporal patterns and serves as a feature extractor, thereby allowing the subsequent prediction network to incorporate both the learned features and external exogenous variables. By leveraging this architecture, the model achieves scalable uncertainty estimation suitable for real-time anomaly detection applications at Uber.

Experimental Evaluation

The empirical evaluation is comprehensive, encompassing comparison across standard models such as naive last-day prediction and quantile random forests (QRF), as well as a baseline vanilla LSTM model. Impressively, the proposed method demonstrates a significant reduction in the Symmetric Mean Absolute Percentage Error (SMAPE) across multiple large cities when compared to these models, thereby attesting to its predictive prowess. Additionally, the paper presents a meticulous analysis of predictive intervals, corroborating the reliability of the proposed uncertainty estimation framework with empirical coverage results that align closely with expected values.

Moreover, the paper details the encoder's ability to discern patterns in data, specifically its effectiveness in recognizing day-of-week variations, as evidenced by clustering patterns in the embedding space. Such insights accentuate the model's capacity for capturing temporal nuances essential in time series forecasting.

Implications and Future Prospects

Practically, the implications of this research are profound for organizations like Uber that operate within volatile environments requiring continuous and precise forecasting to ensure operational efficiency and customer satisfaction. The enhanced prediction accuracy and resilient uncertainty estimation facilitate more accurate anomaly detection, reducing false positives that can lead to unnecessary resource allocation.

Theoretically, this approach bridges a critical gap in existing time series prediction methodologies by addressing model misspecification uncertainty, an aspect often overlooked in traditional frameworks. This innovation also opens avenues for future research in enhancing neural network interpretability and robustness, particularly in contexts characterized by irregular and high-variance data.

Future developments could explore further refinement of the uncertainty estimation techniques to improve their adaptability across diverse domains beyond transportation logistics. Moreover, extending the model's adaptive capabilities to dynamically learn and update in real-time could bolster its application in live prediction systems.

In conclusion, the paper presents a sophisticated yet practical advancement in time series forecasting and uncertainty estimation, demonstrating significant potential both for large-scale applications and as a foundational step for further research into Bayesian neural frameworks in time series analysis.