High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality
High-dimensional data and high-dimensional representations of reality are inherent features of modern Artificial Intelligence systems and applications of machine learning. The well-known phenomenon of the “curse of dimensionality” states: many problems become exponentially difficult in high dimensio...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/7496 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/7496 |
| Access Level: | acceso abierto |
| Palabra clave: | 004.8 Artificial intelligence Mistake correction Concentration of measure Discriminant Data mining geometry Inteligencia artificial (Informática) Cibernética matemática Geometría Investigación operativa (Matemáticas) 1203.04 Inteligencia Artificial 1207.03 Cibernética 1204 Geometría 1207 Investigación Operativa |
| Sumario: | High-dimensional data and high-dimensional representations of reality are inherent features of modern Artificial Intelligence systems and applications of machine learning. The well-known phenomenon of the “curse of dimensionality” states: many problems become exponentially difficult in high dimensions. Recently, the other side of the coin, the “blessing of dimensionality”, has attracted much attention. It turns out that generic high-dimensional datasets exhibit fairly simple geometric properties. Thus, there is a fundamental tradeoff between complexity and simplicity in high dimensional spaces. Here we present a brief explanatory review of recent ideas, results and hypotheses about the blessing of dimensionality and related simplifying effects relevant to machine learning and neuroscience. |
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