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Inspiring a culture for sustainable innovation.

Pushing the boundaries of innovation, making new discoveries and establishing new research paradigms.

About the school
Committed to pursuing cutting-edge research, making groundbreaking discoveries and establishing new research paradigms.
Our quality and well-balanced education places particular emphasis on grit, curiosity and creativity…
At the School of Science, we promote a vibrant and dynamic environment that emphasizes academic excellence, scholarship, innovation and collaboration.
Yung Hou WONG
DEAN OF SCIENCE
Events
Seminar, Lecture, Talk | 14 Apr 2023
Department of Mathematics - Seminar on Statistics - Some Recent Developments in Expected Shortfall Regression
Expected Shortfall (ES), also known as superquantile or Conditional Value-at-Risk, has been recognized as an important measure in risk analysis and stochastic optimization. In finance, it refers to the conditional expected return of an asset given that the return is below some quantile of its distribution. In this work, we consider a joint regression framework that simultaneously models the conditional quantile and ES of a response variable given a set of covariates, for which the state-of-the-art approach is based on minimizing a joint loss function that is non-differentiable and non-convex.    Motivated by the idea of using Neyman-orthogonal scores to reduce sensitivity with respect to nuisance parameters, we propose a statistically robust and computationally efficient two-step procedure for fitting joint quantile and ES regression models. With increasing covariate dimensions, we establish explicit non-asymptotic bounds on estimation and Gaussian approximation errors, which lay the foundation for statistical inference. Under high-dimensional sparse models, we consider a lasso-penalized two-step approach and its robust counterpart, and propose debased estimators for inference. We further discuss a more general weighted-average quantile regression framework, including ES regression as a special case. This talk is based on joint works with Xuming He, Kean Ming Tan and Shushu Zhang.
No. 23
Science Focus
Science Focus is specially written and designed by HKUST science undergraduate students under the guidance of our faculty and staff. It aims to stimulate and nurture students’ interest in science and scientific research through interesting articles.
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School of Science
Undergraduate
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Offering diverse, interdisciplinary and inquiry-driven undergraduate education in an intellectually stimulating environment.
Postgraduate
Programs
Providing students with exposure and hands-on training in innovative, cutting edge methodologies and technologies via research and taught postgraduate education.
Academic Units
Chemistry
Life Science
Mathematics
Ocean Science
Physics
Chemistry
The Department of Chemistry has dynamic, friendly and cooperative faculty members active in all areas of chemical research and whose research is internationally recognized.
Life Science
The mission of the Division of Life Science is to facilitate the advancement of both research and education in the field of biological sciences.
Mathematics
Excellence in research and a commitment to deliver effective and quality teaching programs, are the two pillars on which the Department of Mathematics is based.
Ocean Science
The Department of Ocean Science aims to lead in understanding ocean science and technology, marine conservation, global climate change, management of marine resources, socio-economy and sustainable development.
Physics
The mission of the Department of Physics is captured by the triangle of teaching, research and innovation.
Research
Pushing the boundaries of innovation, making new discoveries and establishing new research paradigms.