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A Specialized Semismooth Newton Method for Kernel-Based Optimal Transport

Kernel-based optimal transport (OT) estimators offer an alternative, functional estimation procedure to address OT problems from samples. Recent works suggest that these estimators are more statistically efficient than plug-in (linear programming-based) OT estimators when comparing probability measures in high-dimensions [Vacher et al., 2021]. Unfortunately, that statistical benefit comes at a very steep...

What happened

Kernel-based optimal transport (OT) estimators offer an alternative, functional estimation procedure to address OT problems from samples. Recent works suggest that these estimators are more statistically efficient than plug-in (linear programming-based) OT estimators when comparing probability measures in high-dimensions [Vacher et al., 2021]. Unfortunately, that statistical benefit comes at a very steep...

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  1. Apple Machine Learning ResearchPrimary source · Supports · EN · 100%
    A Specialized Semismooth Newton Method for Kernel-Based Optimal Transport

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Confidence · formula confidence-2.1.0
Source trust93
Independent corroboration51
Primary evidence100
Claim consistency82
Extraction confidence82
Attribution quality90
Impact · formula impact-2.1.0
Event magnitude45
Market relevance74
Entity significance42
Market breadth45
Novelty68
Urgency34
Ranking · formula rank-1.0.0
Confidence factor0.919
Freshness factor0.4781
Breaking bonus0
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