Information of Seminar on High-Dimensional Statistics

Supported by

Grant-in-Aid for Scientific Research (A) 25H01107 (Project Period: 2025-2030)
"Advancement and Expansion of Theories and Methodologies
for Large-Scale Complex Data"
(Principal Investigator: Makoto Aoshima)
Grant-in-Aid for Challenging Research (Exploratory) 26K23798
(Project Period: 2026-2029)
"Building an Innovative Platform for Real-Time Streaming Data Based on
High-Dimensional, Low-Sample-Size Theory"
(Principal Investigator: Makoto Aoshima)
Date 14:00–15:15, July 28, 2026
Venue D509 Institute of Natural Sciences, University of Tsukuba [Access]
Speaker Hsin-Hsiung 'Bill' Huang
Professor, School of Data, Mathematical, and Statistical Sciences, University of Central Florida
Title Fréchet Sufficient Dimension Reduction for Metric Space-Valued Data via Distance Covariance
Abstract This talk introduces a Fréchet sufficient dimension reduction method for regression problems with metric-space-valued responses, including distributions, count data, matrices, spherical data, and other non-Euclidean data objects. The proposed approach uses kernel distance covariance to identify low-dimensional sufficient predictors while preserving the essential regression information between high-dimensional Euclidean predictors and complex responses. By mapping metric-space-valued responses into a reproducing kernel Hilbert space and optimizing a distance covariance criterion on the Stiefel manifold, the method provides a flexible and computationally efficient framework for Fréchet regression and related high-dimensional data analysis problems. Theoretical guarantees establish the validity and consistency of the resulting Fréchet central subspace estimator. Simulation studies and real data applications, including mortality distributions, bike rental patterns, carcinoma gene expression, and breast cancer survival data, demonstrate that the proposed method is accurate, broadly applicable, and computationally faster than existing Fréchet SDR approaches.
Organizers Makoto Aoshima (University of Tsukuba)
Kazuyoshi Yata (University of Tsukuba)
Contact Kazuyoshi Yata
E-mail： yata [at] math.tsukuba.ac.jp

Meetings and workshops that we helped organize

(In addition to the following, we ask co-investigators of multiple research institutes in Japan to hold symposiums supported by Grant-in-Aid for Scientific Research (A) four times a year.)
  1. Grants-in-Aid for Scientific Research Symposium
    "Advancement of Theories and Methodologies for Large-Scale Complex Data: Frontline Trends and New Developments"
    iias Hall, October 30-31, 2025
  2. Grants-in-Aid for Scientific Research Symposium
    "International Symposium on Theories, Methodologies and Applications for Large Complex Data"
    Tsukuba International Congress Center, December 4-6, 2024
  3. The 8th International Workshop in Sequential Methodologies
    Utah Valley University, U.S.A., May 21-24, 2024.
    https://www.uvu.edu/math/events/iwsm2024/
  4. Grants-in-Aid for Scientific Research Symposium
    "International Symposium on Recent Advances in Theories and Methodologies for Large Complex Data"
    Tsukuba International Congress Center, December 7-9, 2023
  5. Grants-in-Aid for Scientific Research Symposium
    "Theories and Methodologies for Various High-Dimensional Models: Trends in the Forefront"
    Online, February 22, 2022
  6. Grants-in-Aid for Scientific Research Symposium
    "International Symposium on New Developments of Theories and Methodologies for Large Complex Data"
    Tsukuba International Congress Center, November 5-6, 2021
  7. The 4th International Conference on Econometrics and Statistics
    South Korea, June 24-26, 2021
    http://cmstatistics.org/EcoSta2020/
  8. The 6th Institute of Mathematical Statistics Asia Pacific Rim Meeting
    Melbourne, Australia, January 5-8, 2021
    http://ims-aprm2021.com/
  9. Grants-in-Aid for Scientific Research Symposium
    "Theories and Methodologies for Large Complex Data: Frontline Trends and New Developments"
    Tsukuba International Congress Center, December 4-5, 2020
  10. Grants-in-Aid for Scientific Research Symposium
    "Theories and Methodologies for Various High-Dimensional Models and Their Applications to Related Fields"
    Iias Tsukuba, February 17-18, 2020
  11. Grants-in-Aid for Scientific Research Symposium
    "International Symposium on Theories and Methodologies for Large Complex Data"
    Tsukuba International Congress Center, November 21-23, 2019
  12. The 3rd International Conference on Econometrics and Statistics
    Taiwan, June 25-27, 2019
    http://cmstatistics.org/EcoSta2019/index.php
  13. Grants-in-Aid for Scientific Research Symposium
    "International Symposium on Statistical Theory and Methodology for Large Complex Data"
    University of Tsukuba, November 16-18, 2018
  14. Grants-in-Aid for Scientific Research Seminar
    "Point Estimation Methods for a Negative Exponential Location: Illustrations with Infant Mortality and Bone Marrow Data"
    University of Tsukuba, November 14, 2018
  15. The 5th Institute of Mathematical Statistics Asia Pacific Rim Meeting
    Singapore, June 26-29, 2018
    https://ims-aprm2018.stat.nus.edu.sg/
  16. The 4th Conference of International Society of Nonparametric Statistics
    Italy, June 11-15, 2018
    http://www.isnps2018.it/
  17. Grants-in-Aid for Scientific Research Symposium
    "Statistical Analysis for Large Complex Data -Theories, Methodologies, and Their Applications to the Related Fields-"
    University of Tsukuba, December 1-3, 2017
  18. Grants-in-Aid for Scientific Research Symposium
    "International Symposium on Statistical Analysis for Large Complex Data"
    University of Tsukuba, November 21-23, 2016
  19. The 4th Institute of Mathematical Statistics Asia Pacific Rim Meeting
    Hong Kong, June 27-30, 2016
    http://ims-aprm2016.sta.cuhk.edu.hk/
  20. Grants-in-Aid for Scientific Research Symposium
    "Theories and Methodologies for Large Complex Data: Trends in the Forefront"
    University of Tsukuba, November 16-18, 2015
  21. ISNPS Meeting "Biosciences, Medicine, and novel Non-Parametric Methods"
    Graz, Austria, July 12-15, 2015
  22. Workshop on Statistical Methods for Large Complex Data
    National Sun Yat-sen University, Taiwan, March 12-14, 2015
  23. Grants-in-Aid for Scientific Research Symposium
    "Workshop on Statistical Methods for Large Complex Data"
    University of Tsukuba, November 10-12, 2014
  24. The 3rd Institute of Mathematical Statistics Asia Pacific Rim Meeting
    "Recent Developments in High-Dimensional Inference and Methodologies"
    Howard International House, Taipei, Taiwan, June 30-July 3, 2014
  25. Workshop on Statistics for High-Dimensional and Dependent Data
    National Taiwan University, Taiwan, March 21, 2014
  26. Grants-in-Aid for Scientific Research Symposium
    "Theories and Methodologies for High-Dimensional Data Analysis and their Applications to Related Fields"
    University of Tsukuba, November 25-27, 2013
  27. The 4th International Workshop in Sequential Methodologies
    University of Georgia, U.S.A., July 18-21, 2013
    http://www.stat.uga.edu/IWSM2013
  28. The 7th Japan Statistical Society Spring Meeting
    "Theories and Methodologies in High Dimensional Data Analysis: the Forefront Trends"
    Gakushuin University, March 3, 2013
  29. The 2nd Institute of Mathematical Statistics Asia Pacific Rim Meeting
    "High-Dimensional Inference and Methodologies"
    Tsukuba International Congress Center, July 3, 2012
  30. Grants-in-Aid for Scientific Research Symposium
    "Theories and Methodologies of Statistical Estimation and Their Latest Trends"
    University of Tsukuba, November 7-9, 2011
  31. The 3rd International Workshop in Sequential Methodologies
    Stanford University, California, U.S.A., June 14-16, 2011
  32. Grants-in-Aid for Scientific Research Symposium
    "Statistics for High Dimensional Data -Theories, Methodologies, and Their Applications to the Related Fields-"
    University of Tsukuba, December 14-16, 2009