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A unifying framework for generalised Bayesian online learning in non-stationary environments (2411.10153v3)

Published 15 Nov 2024 in stat.ML and cs.LG

Abstract: We propose a unifying framework for methods that perform probabilistic online learning in non-stationary environments. We call the framework BONE, which stands for generalised (B)ayesian (O)nline learning in (N)on-stationary (E)nvironments. BONE provides a common structure to tackle a variety of problems, including online continual learning, prequential forecasting, and contextual bandits. The framework requires specifying three modelling choices: (i) a model for measurements (e.g., a neural network), (ii) an auxiliary process to model non-stationarity (e.g., the time since the last changepoint), and (iii) a conditional prior over model parameters (e.g., a multivariate Gaussian). The framework also requires two algorithmic choices, which we use to carry out approximate inference under this framework: (i) an algorithm to estimate beliefs (posterior distribution) about the model parameters given the auxiliary variable, and (ii) an algorithm to estimate beliefs about the auxiliary variable. We show how the modularity of our framework allows for many existing methods to be reinterpreted as instances of BONE, and it allows us to propose new methods. We compare experimentally existing methods with our proposed new method on several datasets, providing insights into the situations that make each method more suitable for a specific task. We provide a Jax open source library to facilitate the adoption of this framework.

Summary

  • The paper introduces a unifying Bayesian framework that systematically manages non-stationary data, ensuring robust predictive performance.
  • It employs hierarchical Bayesian techniques with auxiliary variables, such as runlength and changepoint counts, to optimize model adaptability.
  • Experimental results demonstrate BONE's superior performance in handling abrupt, gradual, and hybrid regime shifts across varied application domains.

BONE: A Unifying Bayesian Framework for Online Learning in Non-Stationary Environments

The paper presents BONE, a unifying framework designed to incorporate Bayesian principles into online learning environments characterized by non-stationarity. BONE, an acronym for Bayesian Online learning in Non-stationary Environments, provides a generalizable approach adept at efficiently tackling the challenges encountered in dynamic data scenarios such as those influenced by sudden or gradual changes in data distribution over time. This framework systematically models these environments through the integration of hierarchical Bayesian techniques, making it adaptable to various tasks, including prequential forecasting, unsupervised segmentation, and contextual bandits.

Framework Details

BONE's strength lies in its modular structure, which hinges on both modeling and algorithmic decisions. The modeling choices consist of measuring models, auxiliary processes to account for non-stationarity, and conditional priors over model parameters, which allows for flexibility in addressing a variety of tasks. Meanwhile, algorithmic choices focus on estimation techniques for posterior distributions, relying on methods such as conjugate updates, linear-Gaussian approximations, or variational Bayes. This highlights BONE’s versatility in leveraging existing methodologies while extending them to accommodate the ever-shifting landscape of real-world data.

In practice, BONE emphasizes the use of an auxiliary variable to successfully navigate non-stationary conditions. Typical auxiliary choices include runlength, changepoint counts, or even mixtures of experts. The exact choice depends significantly on the task requirements and desired balance between representation fidelity and computational costs.

Experimental Evaluations

The authors present a robust set of experiments across a spectrum of task domains. Results indicate that BONE is adept at high adaptivity in predictive accuracy, demonstrating superior performance in scenarios involving regime shifts—be they abrupt, gradual, or a hybrid. Noteworthy is the implementation and testing of new variances within the BONE framework, such as RL[1]-OUPR*, which utilizes runlengths with Ornstein-Uhlenbeck dynamics and prior reset for high adaptability, minimizing predictive error especially in continuously changing environments.

Through empirical validation, the paper offers compelling evidence that BONE not only encompasses traditional approaches but also injects novel methodological improvements. For example, the integration of robust inference techniques markedly upholds predictive performance in noisy or heavy-tailed distribution settings.

Implications and Future Directions

The implications of this research are broad, particularly in fields like finance, climate modeling, and any domain where timely adaptation to data stream changes is critical. The BONE framework’s extensive applicability suggests a promising avenue for further exploration towards optimization-based Bayesian methods, especially in environments that otherwise challenge classical static assumption models. As the frameworks underpinning artificial intelligence continue to mature, BONE offers critical insights into building resilience and agility within these models.

Future work might consider scaling BONE for larger, more intricate models where computational overhead becomes a limiting factor or expanding its integration with different types of prior knowledge. Exploring more specific choices in conditional priors or alternative updates in variational inference could provide additional benefits in diverse applications.

Conclusion

In sum, the BONE framework represents a comprehensive methodology for Bayesian online learning in non-stationary environments. By aligning Bayesian inference with modular and flexible modeling structures, the paper establishes a groundwork that both consolidates and extends prior methodologies in this domain. Although its proposed models present an innovative leap in handling dynamic data distributions, further refinement and exploration could push the boundaries of what is currently achievable in adaptive learning systems.

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