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New Heteroskedastic Tensor Decomposition Method Introduced for EEG Data

Researchers have introduced Heteroskedastic Canonical Polyadic Tensor Decomposition (HCP), an advancement over the standard CP decomposition. HCP models entrywise variability using a non-constant, low-rank precision tensor, in addition to the low-rank mean tensor. An alternating block-coordinate ascent method has been developed to efficiently recover both tensors from noisy data, with computational complexity comparable to CP-ALS. The effectiveness of HCP has been demonstrated through synthetic experiments and an application involving electroencephalography (EEG) data. AI

IMPACT Introduces a novel statistical method for tensor decomposition, potentially improving analysis in fields like neuroscience.

RANK_REASON The item is an academic paper detailing a new statistical methodology. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv stat.ML →

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New Heteroskedastic Tensor Decomposition Method Introduced for EEG Data

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The item is an academic paper detailing a new statistical methodology. [lever_c_demoted from research: ic=1 ai=0.7]
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  1. arXiv stat.ML TIER_1 English(EN) · Kyle Ritscher, Carlos Llosa-Vite ·

    Heteroskedastic Canonical Polyadic Tensor Decomposition

    arXiv:2610.00498v1 Announce Type: cross Abstract: When minimizing the squared-error loss, the popular CP decomposition can be interpreted as parameter inference in a Gaussian model with a low-rank mean tensor and constant variance across the tensor entries. We introduce heteroske…