[セミナー］第29回IPB セミナー

[セミナー］第29回IPB セミナーを以下のように開催します。
日時：2022年5月9日（月）13：15-14：45
場所：Zoom
online:https://u-tokyo-ac-jp.zoom.us/j/85219039059?pwd=c3F0SlhnUzArV1paQkhTb3gwWXg3QT09
・ID: 852 1903 9059
・ ﾊﾟｽｺｰﾄﾞ: 391008
講演者：John Molina氏 (京都大)
タイトル：Nash Neural Networks : Inferring Utilities from Optimal Behaviour

Abstract: We have developed a physics informed neural network to handle inverse optimal control problems in differential games with
Nash equilibrium, called Nash Neural Networks (N3) [1].
Following recent work on Hamiltonian and Lagrangian Neural Networks, we build the game dynamics into the structure of the network, which allows us to automatically derive the governing equations from black-box utility functions.
This N3 framework can then be used to infer utilities from optimal behavior, without having to specify the functional form of the (unknown) utility.
We have used the N3 to analyze the optimal social-distancing behaviour of individuals in a pandemic, by training against synthetic data generated from a known model [2].
We were able to accurately infer the individual payoff function, which contained a social distancing cost and an infection cost, as well as its functional dependence on the population/individual state parameters.

[1] Nash Neural Networks: Inferring utilities from optimal behavior
2022, J. J. Molina et al., preprint [https://arxiv.org/abs/2203.13432]
[2] Rational social distancing policy during epidemics with limited
healthcare capacity
2022, S. K. Schnyder et al., under review
https://arxiv.org/abs/2203.13432