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New theory offers constructive framework for machine learning learnability

A new theoretical framework for machine learning, termed the Constructive Orbit-Based Theory of Learnability, has been developed. This theory introduces a finite-dimensional orbit framework to create data-adapted dictionaries, sparse realizations, and predictive extensions. The approach breaks down the learning problem into scaffold discovery, sparse realization, and prediction via learned sparse coordinates, utilizing a novel procedure called CCDS which offers advantages over traditional MP/OMP methods. AI

IMPACT Introduces a novel theoretical framework that could advance machine learning research by providing new methods for data analysis and prediction.

RANK_REASON The item is an academic paper published on arXiv detailing a new theoretical framework for machine learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New theory offers constructive framework for machine learning learnability

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The item is an academic paper published on arXiv detailing a new theoretical framework for machine learning. [lever_c_demoted from research: ic=1 ai=1.0]
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  1. arXiv cs.LG TIER_1 English(EN) · Yunied Puig ·

    A Constructive Orbit-Based Theory of Learnability

    arXiv:2610.41641v1 Announce Type: new Abstract: We develop a finite-dimensional orbit framework for constructing data-adapted dictionaries, sparse realizations, and predictive extensions. The method uses wrapped weighted shifts to generate orbit dictionaries and local interpolati…