Cover Image

Bayesian Cramér-Rao Bound Estimation with Score-Based Models

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Crafts, Evan Scope, Zhang, Xianyang, Zhao, Bo
Format:	Preprint
Published:	2023
Subjects:	Machine Learning Statistics Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Optimizing Quantitative Photoacoustic Imaging Systems: The Bayesian Cramér-Rao Bound Approach
by: Crafts, Evan Scope, et al.
Published: (2024)

Intrinsic Bayesian Cramér-Rao Bound with an Application to Covariance Matrix Estimation
by: Bouchard, Florent, et al.
Published: (2023)

Benchmarking Diffusion Annealing-Based Bayesian Inverse Problem Solvers
by: Crafts, Evan Scope, et al.
Published: (2025)

On the attainment of the Wasserstein--Cramer--Rao lower bound
by: Nishimori, Hayato, et al.
Published: (2025)

Kernel Two-Sample Tests in High Dimension: Interplay Between Moment Discrepancy and Dimension-and-Sample Orders
by: Yan, Jian, et al.
Published: (2021)

Revisiting the Misspecified Cramér-Rao Bound
by: Khatib, Malaak, et al.
Published: (2026)

Distance and Kernel-Based Measures for Global and Local Two-Sample Conditional Distribution Testing
by: Yan, Jian, et al.
Published: (2022)

A Generalized Cramér-Rao Bound Using Information Geometry
by: Dhadumia, Satyajit, et al.
Published: (2025)

Wasserstein-Cramér-Rao Theory of Unbiased Estimation
by: Trillos, Nicolás García, et al.
Published: (2025)

Minimax Optimality of Score-based Diffusion Models: Beyond the Density Lower Bound Assumptions
by: Zhang, Kaihong, et al.
Published: (2024)

Assessing the Quality of Denoising Diffusion Models in Wasserstein Distance: Noisy Score and Optimal Bounds
by: Arsenyan, Vahan, et al.
Published: (2025)

An Upper Confidence Bound Approach to Estimating the Maximum Mean
by: Kun, Zhang, et al.
Published: (2024)

Cartan meets Cramér-Rao
by: Krishnan, Sunder Ram
Published: (2025)

Refining Cramér-Rao Bound With Multivariate Parameters: An Extrinsic Geometry Perspective
by: Krishnan, Sunder Ram
Published: (2025)

Improving Cramér-Rao Bound And Its Variants: An Extrinsic Geometry Perspective
by: Krishnan, Sunder Ram
Published: (2025)

Cramer-Rao Bounds for Laplacian Matrix Estimation
by: Halihal, Morad, et al.
Published: (2025)

Improved Convergence of Score-Based Diffusion Models via Prediction-Correction
by: Pedrotti, Francesco, et al.
Published: (2023)

Diffusion Models with Heavy-Tailed Targets: Score Estimation and Sampling Guarantees
by: Yu, Yifeng, et al.
Published: (2026)

Optimal Bounds for Tyler's M-Estimator for Elliptical Distributions
by: Lau, Lap Chi, et al.
Published: (2025)

Convergence of Statistical Estimators via Mutual Information Bounds
by: Khribch, El Mahdi, et al.
Published: (2024)

Learned Bayesian Cramér-Rao Bound for Unknown Measurement Models Using Score Neural Networks
by: Habi, Hai Victor, et al.
Published: (2025)

Tight Bounds for Schrödinger Potential Estimation in Unpaired Data Translation
by: Puchkin, Nikita, et al.
Published: (2025)

ScoreFusion: Fusing Score-based Generative Models via Kullback-Leibler Barycenters
by: Liu, Hao, et al.
Published: (2024)

Beyond Scores: Proximal Diffusion Models
by: Fang, Zhenghan, et al.
Published: (2025)

Likelihood Functions with Parameter-Dependent Support: A Survey of the Cramér-Rao-Leibniz Lower Bound
by: Lu, Qin, et al.
Published: (2025)

Entropic Isoperimetric and Cramér--Rao Inequalities for Rényi--Fisher Information
by: Wu, Hao, et al.
Published: (2025)

ScoreMatchingRiesz: Score Matching for Debiased Machine Learning and Policy Path Estimation
by: Kato, Masahiro
Published: (2025)

Score Attack: A Lower Bound Technique for Optimal Differentially Private Learning
by: Cai, T. Tony, et al.
Published: (2023)

Dimension-free Score Matching and Time Bootstrapping for Diffusion Models
by: Kumar, Syamantak, et al.
Published: (2025)

Saturation of the Multiparameter Quantum Cramér-Rao Bound at the Single-Copy Level with Projective Measurements
by: Nurdin, Hendra I.
Published: (2024)

Online Performance Estimation with Unlabeled Data: A Bayesian Application of the Hui-Walter Paradigm
by: Slote, Kevin, et al.
Published: (2024)

Feature Incremental Clustering with Generalization Bounds
by: Zhang, Jing, et al.
Published: (2026)

Thermodynamic Response Functions in Singular Bayesian Models
by: Plummer, Sean
Published: (2026)

Adapting to Unknown Low-Dimensional Structures in Score-Based Diffusion Models
by: Li, Gen, et al.
Published: (2024)

Diffusion-based Denoising Beats Vanilla Score Matching in Parameter Estimation: A Theoretical Explanation
by: Schwienhorst, Benedikt Lütke, et al.
Published: (2026)

Score-based generative models are provably robust: an uncertainty quantification perspective
by: Mimikos-Stamatopoulos, Nikiforos, et al.
Published: (2024)

Convergence of the Inexact Langevin Algorithm in KL Divergence with Application to Score-based Generative Models
by: Yang, Kaylee Yingxi, et al.
Published: (2022)

Distributed Estimation and Inference for Semi-parametric Binary Response Models
by: Chen, Xi, et al.
Published: (2022)

Scoring Rules and Calibration for Imprecise Probabilities
by: Fröhlich, Christian, et al.
Published: (2024)

Tight Margin-Based Generalization Bounds for Voting Classifiers over Finite Hypothesis Sets
by: Larsen, Kasper Green, et al.
Published: (2025)