PIMS- IFDS- NSF Summer School on Optimal Transport: Schedule

All lectures will take place at Johnson Hall, room 102.

Title and abstracts for all participant talks can be found here

Week 1

Monday, June 20

  • 10:00: Welcome address
  • 10:30 - 12:00: OT Bootcamp by Brendan Pass (Notes )
  • 2:00 - 3:30: Lecture 1 by Geoff Schiebinger (video , slides )
  • 4:00 - 5:30: OT Bootcamp by Brendan Pass

Tuesday, June 21

  • 10:30 - 12:00: Lecture 2 by Geoff Schiebinger (slides )
  • 2:00 - 3:30: Lecture 1 by Inwon Kim (video , slides 1 , slides 2 )
  • 4:00 - 6:00: Participant talks (8 talks, 15 mins each)
    • Stephen Zhang, Becca Bonham-Carter, Henri Schmidt, Hui Huang
    • Stefan Schrott, Xin Zhang, Daniel Toneian, Benjamin Robinson

Wednesday, June 22

  • 10:30 - 12:00: Lecture 2 by Inwon Kim (video , slides 1 , slides 2 )
  • 2:00 - 3:30: Lecture 1 by Felix Otto (video , slides , Lecture Notes )
  • 4:00 - 5:45: Participant talks (7 talks, 15 mins each)
    • Arghya Rakshit , Jeremy Wu, Cameron Davies, Sebastian Munoz
    • Manuel Mellado Cuerno, Kai-Hsiang Wang, Yangxinyu Xie

Thursday, June 23

  • 10:30 - 12:00: Lecture 2 By Felix Otto (video , slides , Lecture Notes )

  • 2:00 - 3:30: Lecture 3 by Geoff Schiebinger (slides )

  • 4:00 - 5:15: Participant talks (5 talks, 15 mins each)

    • Francesco Mattesini, Giacomo Enrico Sodini, Sadashige Ishida, Min Jun Jo, Juan Pablo Vigneaux

  • 6:30 - 8:30: Conference Dinner at Ba Bar U-Village

Friday, June 24

  • 10:30 - 12:00: Lecture 3 by Felix Otto (video , slides , Lecture Notes )
  • 2:00 - 3:30: Lecture 3 by Inwon Kim (video , slides 1 , slides 2 )
  • 4:00 - 4:30: Participant talks (2 talks, 15 mins each)
    • Hanye Zhu, Havva Yoldas
  • 4:30 - 5:00: Talk by Jingwei Hu, UW Applied Math
    Show Abstract Particle method for the Landau equation — A gradient flow perspective: The Landau equation is an important partial differential equation in kinetic theory. It describes the charged particle collisions and can be formally derived as a limit of the Boltzmann equation when all collisions become grazing. In this work, we propose a new perspective of the Landau equation inspired by its analogy with the heat equation and the Wasserstein-2 gradient flow of the Boltzmann entropy. Based on this formulation, we develop a deterministic particle method for the Landau equation which preserves important physical properties such as conservation of mass, momentum, and energy and entropy decay. Finally, we discuss some ongoing work to integrate the proposed method to the popular Particle-In-Cell method in solving the Vlasov-Landau equation in plasma physics.

Saturday, June 25

  • Group Trip to Alki Beach.
    Show details (depending on the weather) We will go to the iconic Seattle Alki beach by the Puget sound. We will take the light rail from the university to the Pioneer square station and then walk to the Pier 50 dock to take the West Seattle water taxi to go across the sound and then walk to the beach. There are plenty of entertainment opportunities. One can rent kayaks, bike, play beach volleyball, or just relax and enjoy the fantastic views of the Olympic mountains and the Seattle skyline. Details TBA.

Week 2

Monday, June 27

  • 10:30 - 12:00: Lecture 1 by Alfred Galichon (video resources )
  • 2:00 - 3:30: Lecture 1 by Gabriel Peyré (video , slides 1 slides 2 slides 3 slides 4 )
  • 4:00 - 6:00: Participant talks (8 talks, 15 mins each)
    • Young Jun Lee, Jorge A. Rivero, Kelvin Shuangjian Zhang , Daniel Owusu Adu
    • Lang Liu, Camilla Brizzi, Luca Tamanini, Bhishan Jacelon

Tuesday, June 28

  • 10:30 - 12:00: Lecture 2 by Gabriel Peyré (video slides 1 slides 2 slides 3 slides 4 )
  • 2:00 - 3:30: Lecture 2 by Alfred Galichon (video resources )
  • 4:00 - 6:00: IFDS invited talks, panel discussion, spotlight talks
    • 4:00 - 4:05: Zaid Harchaoui, brief presentation of IFDS
    • 4:05 - 4:35 : Bamdad Hosseini, KI-IFDS invited talk
    • 4:35 - 5:00: Amir Taghvaei, KI-IFDS invited talk
    • 5:00 - 5:30: Panel discussion: A. Galichon, Z. Harchaoui, B. Hosseini, G. Peyre, G. Schiebinger, A. Taghvaei
    • 5:30 - 5:45: Lijun Ding, KI-IFDS spotlight talk
    • 5:45 - 6:00: Stephen Mussmann, KI-IFDS spotlight talk

Wednesday, June 29

  • 10:30 - 12:00: Lecture 1 by Jan Maas (video )
  • 2:00 - 3:30: Lecture 3 by Alfred Galichon (video resources )
  • 4:30 - 5:30: Happy Hour at the UW Econ department

Thursday, June 30

  • 10:30 - 12:00: Lecture 3 by Gabriel Peyré (video slides 1 slides 2 slides 3 slides 4 )
  • 2:00 - 3:30: Lecture 2 by Jan Maas (video )
  • 4:00 - 6:00: Participant talks (8 talks, 15 mins each)
    • Amir Sagiv, Lorenz Riess, Bohan Zhou, Rodrigue Lelotte,
    • Katharina Eichinger, Dohyun Kwon, Matthew Werenski, Haonan Zhang

Friday, July 1

  • 10:30 - 12:00: Lecture 3 by Jan Maas (video )

  • 12:00 - 12:30: Talk by Stefan Steinerberger, UW Math

    Show Abstract Two Short Stories about Optimal Transport: I will tell two short stories. One is a recent application of Optimal Transport in Potential Theory (particularly the problem of minimizing Riesz energy). The second, joint with Bamdad Hosseini, is a fun observation that Kantorovich solutions mapping discrete measures to other discrete measures are intrinsically sparse (with sparsity depending on number-theoretic properties of the two measures).

  • 12:30 - 1:00: Talk by Yanqin Fan, UW Econ

    Show Abstract

    Identification and Estimation of Treatment Effects in the Limited Overlap Region: Strong ignorability is a commonly used assumption to identify average treatment effects based on observational data. It is often argued that the conditional independence assumption can be made more plausible by using more covariates. However using more covariates makes the overlapping assumption less likely to hold. In most empirical applications, the supports of distributions of the covariate vector for different groups do not fully overlap or have limited overlap. Without imposing additional assumptions on the limited or no overlap region, average treatment effects for either the limited overlap region or for the whole population are not point identified.

    In this talk, we make a natural domain shift assumption for the limited overlap region based on optimal transport theory. We study identification of average treatment effects for the limited overlap region and propose three-step estimators of the average treatment effect and quantile treatment effect for the treated in the limited overlap region. We establish consistency and asymptotic normality of the proposed estimators under high level assumptions on the estimator of the optimal transport map. Three examples of the estimator of the optimal transport map are studied in detail and are shown to satisfy the high level assumptions under primitive conditions. We investigate the finite sample performance of our estimator and Wald inference via simulation.

  • Conclusion

Pacific Institute for the Mathematical Sciences

This event is part of the Pacific Interdisciplinary Hub on Optimal Transport (PIHOT) which is a collaborative research group (CRG) of the Pacific Institute for the Mathematical Sciences (PIMS).