Browsing Mathematics (Faculty of) by Subject "robustness"
Now showing items 1-4 of 4
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Efficient and Differentially Private Statistical Estimation via a Sum-of-Squares Exponential Mechanism
(University of Waterloo, 2023-01-30)As machine learning is applied to more privacy-sensitive data, it is becoming increasingly crucial to develop algorithms that maintain privacy. However, even the most basic high-dimensional statistical estimation tasks ... -
Methods in Functional Data Analysis: Forecast Evaluation, Robust Serial Dependence Measures, and a Spatial Factor Copula Model
(University of Waterloo, 2023-09-05)With advancements in technology, new types of data have become available, including functional data, which observations in the form of functions or curves rather than scalar or vector-valued quantities. This emerging area ... -
Regularization Using a Parameterized Trust Region Subproblem
(University of Waterloo, 2004)We present a new method for regularization of ill-conditioned problems that extends the traditional trust-region approach. Ill-conditioned problems arise, for example, in image restoration or mathematical processing of ... -
Topics in Study Design and Analysis Involving Incomplete Data
(University of Waterloo, 2021-07-27)Incomplete data is a common occurrence in statistics with various types and mechanisms such that each can have a significant effect on statistical analysis and inference. This thesis tackles several statistical issues in ...