A Critical Analysis of the Theoretical Framework of the Extreme Learning Machine
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866916299785895936 |
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| author | Perfilievaa, Irina Madrid, Nicolas Ojeda-Aciego, Manuel Artiemjew, Piotr Niemczynowicz, Agnieszka |
| author_facet | Perfilievaa, Irina Madrid, Nicolas Ojeda-Aciego, Manuel Artiemjew, Piotr Niemczynowicz, Agnieszka |
| contents | Despite the number of successful applications of the Extreme Learning Machine (ELM), we show that its underlying foundational principles do not have a rigorous mathematical justification. Specifically, we refute the proofs of two main statements, and we also create a dataset that provides a counterexample to the ELM learning algorithm and explain its design, which leads to many such counterexamples. Finally, we provide alternative statements of the foundations, which justify the efficiency of ELM in some theoretical cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17427 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Critical Analysis of the Theoretical Framework of the Extreme Learning Machine Perfilievaa, Irina Madrid, Nicolas Ojeda-Aciego, Manuel Artiemjew, Piotr Niemczynowicz, Agnieszka Machine Learning Neural and Evolutionary Computing Despite the number of successful applications of the Extreme Learning Machine (ELM), we show that its underlying foundational principles do not have a rigorous mathematical justification. Specifically, we refute the proofs of two main statements, and we also create a dataset that provides a counterexample to the ELM learning algorithm and explain its design, which leads to many such counterexamples. Finally, we provide alternative statements of the foundations, which justify the efficiency of ELM in some theoretical cases. |
| title | A Critical Analysis of the Theoretical Framework of the Extreme Learning Machine |
| topic | Machine Learning Neural and Evolutionary Computing |
| url | https://arxiv.org/abs/2406.17427 |