A self-supervised learning approach for denoising autoregressive models with additive noise: finite and infinite variance cases

arXiv — stat.MLTuesday, December 9, 2025 at 5:00:00 AM
  • A novel self-supervised learning method has been proposed for denoising autoregressive models that are affected by additive noise, addressing both finite and infinite variance cases. This approach leverages insights from computer vision and does not require complete knowledge of the noise distribution, enhancing the recovery of signals such as Gaussian and alpha-stable distributions.
  • This development is significant as it improves the efficacy of autoregressive models in real-world applications where data is often corrupted by strong, impulsive noise. By enhancing the denoising process, the method can lead to more accurate predictions and analyses in various fields, including finance and environmental science.
  • The introduction of this self-supervised learning technique aligns with ongoing advancements in machine learning, particularly in the realm of noise reduction and data integrity. Similar methodologies, such as the D3-Predictor for dense prediction and frameworks for generative modeling, highlight a growing trend towards deterministic approaches that minimize reliance on stochastic noise, reflecting a shift in how complex data challenges are addressed.
— via World Pulse Now AI Editorial System

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