Mathematics of machine learning: An introduction

Sanjeev Arora

Mathematics of machine learning: An introduction

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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)
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 - 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
Volume	1

Conference

Conference	2018 International Congress of Mathematicians, ICM 2018
Country/Territory	Brazil
City	Rio de Janeiro
Period	8/1/18 → 8/9/18

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

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title = "Mathematics of machine learning: An introduction",

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.",

author = "Sanjeev Arora",

year = "2018",

language = "English (US)",

series = "Proceedings of the International Congress of Mathematicians, ICM 2018",

publisher = "World Scientific Publishing Co. Pte Ltd",

pages = "377--390",

editor = "Boyan Sirakov and {de Souza}, {Paulo Ney} and Marcelo Viana",

booktitle = "Invited Lectures",

address = "Singapore",

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T2 - 2018 International Congress of Mathematicians, ICM 2018

AU - Arora, Sanjeev

PY - 2018

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N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85076773262&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85076773262&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85076773262

T3 - Proceedings of the International Congress of Mathematicians, ICM 2018

SP - 377

EP - 390

BT - Invited Lectures

A2 - Sirakov, Boyan

A2 - de Souza, Paulo Ney

A2 - Viana, Marcelo

PB - World Scientific Publishing Co. Pte Ltd

Y2 - 1 August 2018 through 9 August 2018

ER -

Mathematics of machine learning: An introduction

Abstract

Publication series

Conference

All Science Journal Classification (ASJC) codes

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Cite this