### Abstract

Machine learning is the subfield of computer science concerned with creating machines that can improve from experience and interaction. It relies upon mathematical optimization, statistics, and algorithm design. Rapid empirical success in this field currently outstrips mathematical understanding. This elementary article sketches the basic framework of machine learning and hints at the open mathematical problems in it.

Original language | English (US) |
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Title of host publication | Invited Lectures |

Editors | Boyan Sirakov, Paulo Ney de Souza, Marcelo Viana |

Publisher | World Scientific Publishing Co. Pte Ltd |

Pages | 377-390 |

Number of pages | 14 |

ISBN (Electronic) | 9789813272903 |

State | Published - Jan 1 2018 |

Event | 2018 International Congress of Mathematicians, ICM 2018 - Rio de Janeiro, Brazil Duration: Aug 1 2018 → Aug 9 2018 |

### Publication series

Name | Proceedings of the International Congress of Mathematicians, ICM 2018 |
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Volume | 1 |

### Conference

Conference | 2018 International Congress of Mathematicians, ICM 2018 |
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Country | Brazil |

City | Rio de Janeiro |

Period | 8/1/18 → 8/9/18 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Arora, S. (2018). Mathematics of machine learning: An introduction. In B. Sirakov, P. N. de Souza, & M. Viana (Eds.),

*Invited Lectures*(pp. 377-390). (Proceedings of the International Congress of Mathematicians, ICM 2018; Vol. 1). World Scientific Publishing Co. Pte Ltd.