Multiclass learnability and the erm principle
WebWe propose a principle for designing good ERM learners, and use this principle to prove tight bounds on the sample complexity of learning symmetric multiclass hypothesis … WebI am asking this because of the issues with bad ERM learners in multiclass classification [1], in which case we have to do something besides "just ERM" to be successful. ... Daniely, Sabato, Ben-David & Shalev-Shwartz (2013). "Multiclass learnability and the ERM principle." FIXES [l:60] "nature of the observation" [l:127] I am not a fan of this ...
Multiclass learnability and the erm principle
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WebI Multiclass problems (Natarajan dimension, due to Bala Natarajan; see also Multiclass Learnability and the ERM Principle by Daniely et al.) I Extending “zero error” results to infinite classes I Non-boolean classes Prof. John Duchi. Reading and bibliography 1. M. Anthony and P. Bartlet. Neural Network Learning: http://homepages.math.uic.edu/~lreyzin/papers/multiclass.pdf
Web5 feb. 2013 · The results are tight up to a logarithmic factor and essentially answer an open question from (Daniely et. al. - Multiclass learnability and the erm principle). We apply … WebThe theoretical understanding of multiclass learnability, however, is still lacking: even in the basic Probably Approximately Correct (PAC) setting [Valiant, 1984], learnability is …
Web4 mar. 2024 · In this paper we consider high-dimensional multiclass classification by sparse multinomial logistic regression extending the results of Abramovich and Grinshtein (2024) for the binary case. We propose a feature selection procedure based on penalized maximum likelihood with a complexity penalty on the model size and derive the nonasymptotic … WebWe propose a principle for designing good ERM learners, and use this principle to prove tight bounds on the sample complexity of learning symmetric multiclass hypothesis …
WebWe propose a principle for designing good ERM learners, and use this principle to prove tight bounds on the sample complexity of learning symmetric multiclass hypothesis …
Web6 dec. 2016 · We consider a problem of risk estimation for large-margin multi-class classifiers. We propose a novel risk bound for the multi-class classification problem. The bound involves the marginal distribution of the classifier and the Rademacher complexity of the hypothesis class. We prove that our bound is tight in the number of classes. Finally, … miley and dolly new years eve shownew york commercial law goldbookWebWe propose a principle for designing good ERM learners, and use this principle to prove tight bounds on the sample complexity of learning symmetric multiclass … miley and dolly duetWeb13 aug. 2013 · sharp contrast to binary classification, we show that there exist multiclass hypothesis classes for which some Empirical Risk Minimizers (ERM learners) have lower … miley and dolly new years duetWeb5 oct. 2024 · The classical theory of PAC learning is extended in a way which allows to model a rich variety of practical learning tasks where the data satisfy special properties that ease the learning process, and it is shown that the ERM principle fails spectacularly in explaining learnability of partial concept classes. 13 PDF A theory of universal learning miley and dolly new year\\u0027s eveWebThis work proves that in the setting of multiclass categorization (zero/one loss), learnability is equivalent to compression of logarithmic sample size, and that uniform convergence implies compression of constant size. This work continues the study of the relationship between sample compression schemes and statistical learning, which has been mostly … new york commercial licenseWebWe study the sample complexity of multiclass prediction in several learning settings. For the PAC setting our analysis reveals a surprising phenomenon: In sharp contrast to binary classification, we show that there exist multiclass hypothesis classes for which some Empirical Risk Minimizers (ERM learners) have lower sample complexity than others. miley and dolly singing jolene