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Prediction-Only Distillation in Linear and Logistic Regression
Hien Dang, Pratik Patil, Alessandro Rinaldo
Self-distillation (SD) is typically studied when the student is retrained on the teacher's original training inputs. In many practical deployments, however, the labeled training da…
Optimal Unconstrained Self-Distillation in Ridge Regression: Strict Improvements, Precise Asymptotics, and One-Shot Tuning
Hien Dang, Pratik Patil, Alessandro Rinaldo
Self-distillation (SD) is the process of retraining a student on a mixture of ground-truth labels and the teacher's own predictions using the same architecture and training data. A…
On the estimation of persistence intensity functions and linear representations of persistence diagrams
Weichen Wu, Jisu Kim, Alessandro Rinaldo
The prevailing statistical approach to analyzing persistence diagrams is concerned with filtering out topological noise. In this paper, we adopt a different viewpoint and aim at es…