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New dual-TV regularization method for tensor completion detailed

Researchers have developed a new theoretical framework for tensor completion using dual-total variation (DTV) regularization. This method is designed to handle exponential-family noise, which encompasses common distributions like Gaussian and Poisson. The proposed DTV regularizers capture both sparsity and low-rank structures in gradient tensors, and the study establishes theoretical upper bounds on recovery error that approach minimax lower bounds. Experiments on synthetic, image, and video data demonstrate the effectiveness of this approach. AI

RANK_REASON The cluster contains an academic paper detailing a new statistical methodology. [lever_c_demoted from research: ic=2 ai=0.4]

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New dual-TV regularization method for tensor completion detailed

COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Wenfei Cao, Yang Chen, Qibin Zhao, Jinglai Li, Andrzej Cichocki ·

    Exponential-Family Tensor Completion via Nonconvex Dual Total-Variation Regularization

    arXiv:2606.30958v1 Announce Type: cross Abstract: With the emergence of various tensor data, tensor completion from partial measurements has attracted widespread attention in data science and signal processing. Total Variation (TV) has been widely used as an effective regularizat…

  2. arXiv stat.ML TIER_1 English(EN) · Andrzej Cichocki ·

    Exponential-Family Tensor Completion via Nonconvex Dual Total-Variation Regularization

    With the emergence of various tensor data, tensor completion from partial measurements has attracted widespread attention in data science and signal processing. Total Variation (TV) has been widely used as an effective regularization technique for tensor completion; however, theo…