### 10th World Congress in Probability and Statistics

## Invited Session (live Q&A at Track 3, 10:30PM KST)

## Potential Theory for Non-local Operators and Jump Processes (Organizer: Panki Kim)

### SDEs driven by multiplicative stable-like Levy processes

Zhen-Qing Chen (University of Washington)

Based on joint work with Xicheng Zhang and Guohuan Zhao.

### Periodic homogenization of non-symmetric Lévy-type processes

Takashi Kumagai (Kyoto University)

### Optimal Hardy identities and inequalites for the fractional Laplacian on $L^p$

Krzysztof Bogdan (Wrocław University of Science and Technology)

### Q&A for Invited Session 03

###### Session Chair

Panki Kim (Seoul National University)

## Change-point Problems for Complex Data (Organizer: Claudia Kirch)

### Two-sample tests for relevant differences in the eigenfunctions of covariance operators

Alexander Aue (University of California at Davis)

### Multiple change point detection under serial dependence

Haeran Cho (University of Bristol)

### An asymptotic test for constancy of the variance in a time series

Herold Dehling (Ruhr-University Bochum)

### Q&A for Invited Session 10

###### Session Chair

Claudia Kirch (Otto von Guericke University Magdeburg)

## Statistics for Data with Geometric Structure (Organizer: Sungkyu Jung)

### Wasserstein regression

Hans-Georg Müller (University of California, Davis)

### Finite sample smeariness for Fréchet means

Stephan Huckemann (Georg-August-Universitaet Goettingen)

### Score matching for microbiome compositional data

Janice Scealy (Australian National University)

### Q&A for Invited Session 12

###### Session Chair

Sungkyu Jung (Seoul National University)

## Random Graphs (Organizer: Christina Goldschmidt)

### An unexpected phase transition for percolation on scale-free networks

Souvik Dhara (Massachusetts Institute of Technology)

Based on joint work with Shankar Bhamidi, Remco van der Hofstad.

### Recent results for the graph alignment problem

Marc Lelarge (INRIA)

### Local law and Tracy-Widom limit for sparse stochastic block models

Ji Oon Lee (Korea Advanced Institute of Science and Technology (KAIST))

### Q&A for Invited Session 25

###### Session Chair

Christina Goldschmidt (University of Oxford)

## Problems and Approaches in Multi-Armed Bandits (Organizer: Vianney Perchet)

### Dynamic pricing and learning under the Bass model

Shipra Agrawal (Columbia University)

### TensorPlan: A new, flexible, scalable and provably efficient local planner for huge MDPs

Csaba Szepesvari (Deepmind & University of Alberta)

### On the importance of (linear) structure in contextual multi-armed bandit

Alessandro Lazaric (Facebook AI Research)

Most relevant references:

T. Lattimore, Cs. Szepesvari. "The End of Optimism? An Asymptotic Analysis of Finite-Armed Linear Bandits", 2016.

B. Hao, T. Lattimore, Cs. Szepesvari, "Adaptive Exploration in Linear Contextual Bandit", 2019.

A. Tirinzoni, M. Pirotta, M. Restelli, A. Lazaric, "An Asymptotically Optimal Primal-Dual Incremental Algorithm for Contextual Linear Bandits", 2020.

M. Papini, A. Tirinzoni, M. Restelli, A. Lazaric, M. Pirotta, "Leveraging Good Representations in Linear Contextual Bandits", 2021.

### Q&A for Invited Session 36

###### Session Chair

Vianney Perchet (École nationale de la statistique et de l'administration économique Paris)