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Stochastic Optimization with Adaptive Batch Size: Discrete Choice Models as a Case Study

Lederrey, Gael; Lurkin, Virginie; Hillel, Tim; Bierlaire, Michel; (2019) Stochastic Optimization with Adaptive Batch Size: Discrete Choice Models as a Case Study. In: Scherer, Patrick, (ed.) 19th Swiss Transport Research Conference. Institute for Economic Research, Università della Svizzera italiana: Ascona, Switzerland. Green open access

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Abstract

The 2.5 quintillion bytes of data created each day brings new opportunities, but also new stimulating challenges for the discrete choice community. Opportunities because more and more new and larger data sets will undoubtedly become available in the future. Challenging because insights can only be discovered if models can be estimated, which is not simple on these large datasets. In this paper, inspired by the good practices and the intensive use of stochastic gradient methods in the ML field, we introduce the algorithm called Window Moving Average - Adaptive Batch Size (WMA-ABS) which is used to improve the efficiency of stochastic second-order methods. We present preliminary results that indicate that our algorithms outperform the standard secondorder methods, especially for large datasets. It constitutes a first step to show that stochastic algorithms can finally find their place in the optimization of Discrete Choice Models.

Type: Proceedings paper
Title: Stochastic Optimization with Adaptive Batch Size: Discrete Choice Models as a Case Study
Event: 19th Swiss Transport Research Conference
Location: Ascona, Switzerland
Dates: 15 May 2019 - 17 Sep 2019
Open access status: An open access version is available from UCL Discovery
Publisher version: https://www.strc.ch/2019.php
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Optimization, Discrete Choice Models, Stochastic Algorithms, Adaptive Batch Size
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Civil, Environ and Geomatic Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10174125
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