activity
20232026
most citedPhase transitions for the existence of unregularized M-estimators in single index models

1 citations · 1 across the 7 of their papers we have counts for

collaborators

8 papers

cs.LG2026

A Markov Chain Approach to Preference Alignment

Takuya Koriyama, Tengyuan Liang

We propose Markov Chain from Human Feedback (MCHF), an elementary approach for aligning generative models from pairwise human preferences. Unlike Reinforcement Learning from Human…

math.ST2025★ 1 cited

Phase transitions for the existence of unregularized M-estimators in single index models

Takuya Koriyama, Pierre C. Bellec

This paper studies phase transitions for the existence of unregularized M-estimators under proportional asymptotics where the sample size and feature dimension grow proport…

stat.ML2024

Denoising Diffusions with Optimal Transport: Localization, Curvature, and Multi-Scale Complexity

Tengyuan Liang, Kulunu Dharmakeerthi, Takuya Koriyama

Adding noise is easy; what about denoising? Diffusion is easy; what about reverting a diffusion? Diffusion-based generative models aim to denoise a Langevin diffusion chain, moving…

math.ST2024

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…

math.ST2024

Asymptotics of resampling without replacement in robust and logistic regression

Pierre C. Bellec, Takuya Koriyama

This paper studies the asymptotics of resampling without replacement in the proportional regime where dimension and sample size are of the same order. For a given dataset $…

math.ST2023

Error estimation and adaptive tuning for unregularized robust M-estimator

Pierre C. Bellec, Takuya Koriyama

We consider unregularized robust M-estimators for linear models under Gaussian design and heavy-tailed noise, in the proportional asymptotics regime where the sample size n and the…

math.ST2023

Existence of solutions to the nonlinear equations characterizing the precise error of M-estimators

Pierre C. Bellec, Takuya Koriyama

Major progress has been made in the previous decade to characterize the asymptotic behavior of regularized M-estimators in high-dimensional regression problems in the proportional…

math.ST2023

Corrected generalized cross-validation for finite ensembles of penalized estimators

Pierre C. Bellec, Jin-Hong Du, Takuya Koriyama +2

Generalized cross-validation (GCV) is a widely-used method for estimating the squared out-of-sample prediction risk that employs a scalar degrees of freedom adjustment (in a multip…