6 papers
Generalization Error Estimation for Primal--Dual Algorithms in Non-Smooth Regression
Kai Tan, Pierre C Bellec
This paper studies trajectory-wise estimation of generalization error for primal--dual algorithms in non-smooth regression. Motivating examples include \(\ell_1\)-penalized least a…
Whole-Body Inverse Kinematics with Graph Diffusion
Helong Huang, Kai Tan, Feng Wen +2
Inverse kinematics (IK) is a fundamental problem in robotics, requiring the generation of joint configurations that satisfy target end-effector poses. Existing approaches often str…
Towards Reliable Social A/B Testing: Spillover-Contained Clustering with Robust Post-Experiment Analysis
Xu Min, Zhaoxu Yang, Kaixuan Tan +8
A/B testing is the foundation of decision-making in online platforms, yet social products often suffer from network interference: user interactions cause treatment effects to spill…
Precise Asymptotics of Bagging Regularized M-estimators
Takuya Koriyama, Pratik Patil, Jin-Hong Du +2
We characterize the squared prediction risk of ensemble estimators obtained through subagging (subsample bootstrap aggregating) regularized M-estimators and construct a consistent…
Sparse Fréchet Sufficient Dimension Reduction with Graphical Structure Among Predictors
Jiaying Weng, Kai Tan, Cheng Wang +1
Fréchet regression has received considerable attention to model metric-space valued responses that are complex and non-Euclidean data, such as probability distributions and vector…
Estimating Generalization Performance Along the Trajectory of Proximal SGD in Robust Regression
Kai Tan, Pierre C. Bellec
This paper studies the generalization performance of iterates obtained by Gradient Descent (GD), Stochastic Gradient Descent (SGD) and their proximal variants in high-dimensional r…