The broken sample problem revisited: Proof of a conjecture by Bai-Hsing and high-dimensional extensions
Fuente:
arXiv
Saved in:
| Main Authors: | Jiao, Simiao, Wu, Yihong, Xu, Jiaming |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Random geometric graphs with smooth kernels: sharp detection threshold and a spectral conjecture
by: Mao, Cheng, et al.
Published: (2026)
by: Mao, Cheng, et al.
Published: (2026)
Sharp regret-Hellinger bounds for Gaussian empirical Bayes via polynomial approximation
by: Chen, Jiafeng, et al.
Published: (2026)
by: Chen, Jiafeng, et al.
Published: (2026)
Prediction from compression for models with infinite memory, with applications to hidden Markov and renewal processes
by: Han, Yanjun, et al.
Published: (2024)
by: Han, Yanjun, et al.
Published: (2024)
On the best approximation by finite Gaussian mixtures
by: Ma, Yun, et al.
Published: (2024)
by: Ma, Yun, et al.
Published: (2024)
Besting Good--Turing: Optimality of Non-Parametric Maximum Likelihood for Distribution Estimation
by: Han, Yanjun, et al.
Published: (2025)
by: Han, Yanjun, et al.
Published: (2025)
Sharp Information-Theoretic Thresholds for Shuffled Linear Regression
by: Lufkin, Leon, et al.
Published: (2024)
by: Lufkin, Leon, et al.
Published: (2024)
The replica-symmetric free energy for Ising spin glasses with orthogonally invariant couplings
by: Fan, Zhou, et al.
Published: (2021)
by: Fan, Zhou, et al.
Published: (2021)
Growth-Optimal E-Variables and an extension to the multivariate Csiszár-Sanov-Chernoff Theorem
by: Grünwald, Peter, et al.
Published: (2024)
by: Grünwald, Peter, et al.
Published: (2024)
Characterizing Dependence of Samples along the Langevin Dynamics and Algorithms via Contraction of $Φ$-Mutual Information
by: Liang, Jiaming, et al.
Published: (2024)
by: Liang, Jiaming, et al.
Published: (2024)
Asymptotic mutual information in quadratic estimation problems over compact groups
by: Yang, Kaylee Y., et al.
Published: (2024)
by: Yang, Kaylee Y., et al.
Published: (2024)
High-dimensional Clustering and Signal Recovery under Block Signals
by: Su, Wu, et al.
Published: (2025)
by: Su, Wu, et al.
Published: (2025)
Proofs for Folklore Theorems on the Radon-Nikodym Derivative
by: Bermudez, Yaiza, et al.
Published: (2025)
by: Bermudez, Yaiza, et al.
Published: (2025)
The distribution of Ridgeless least squares interpolators
by: Han, Qiyang, et al.
Published: (2023)
by: Han, Qiyang, et al.
Published: (2023)
A New Proof for the Linear Filtering and Smoothing Equations, and Asymptotic Expansion of Nonlinear Filtering
by: Kurisaki, Masahiro
Published: (2024)
by: Kurisaki, Masahiro
Published: (2024)
Subspace Phase Retrieval
by: Xu, Mengchu, et al.
Published: (2022)
by: Xu, Mengchu, et al.
Published: (2022)
Sparse Principal Component Analysis with Energy Profile Dependent Sample Complexity
by: Xu, Mengchu, et al.
Published: (2025)
by: Xu, Mengchu, et al.
Published: (2025)
Statistical Complexity and Optimal Algorithms for Non-linear Ridge Bandits
by: Rajaraman, Nived, et al.
Published: (2023)
by: Rajaraman, Nived, et al.
Published: (2023)
Finite-sample expansions for the optimal error probability in asymmetric binary hypothesis testing
by: Lungu, Valentinian, et al.
Published: (2024)
by: Lungu, Valentinian, et al.
Published: (2024)
Conditional normality and finite-state dimensions revisited
by: Shen, Alexander
Published: (2024)
by: Shen, Alexander
Published: (2024)
Cumulants of multiinformation density in the case of a multivariate normal distribution
by: Marrelec, Guillaume, et al.
Published: (2019)
by: Marrelec, Guillaume, et al.
Published: (2019)
A Closed-Form EVSI Expression for a Multinomial Data-Generating Process
by: Fleischhacker, Adam, et al.
Published: (2022)
by: Fleischhacker, Adam, et al.
Published: (2022)
Entropic Isoperimetric and Cramér--Rao Inequalities for Rényi--Fisher Information
by: Wu, Hao, et al.
Published: (2025)
by: Wu, Hao, et al.
Published: (2025)
Multi-Terminal Remote Generation and Estimation Over a Broadcast Channel With Correlated Priors
by: Egger, Maximilian, et al.
Published: (2025)
by: Egger, Maximilian, et al.
Published: (2025)
A leave-one-out approach to approximate message passing
by: Bao, Zhigang, et al.
Published: (2023)
by: Bao, Zhigang, et al.
Published: (2023)
Statistical Limits for Finite-Rank Tensor Estimation
by: Rossetti, Riccardo, et al.
Published: (2025)
by: Rossetti, Riccardo, et al.
Published: (2025)
Revisiting mean estimation over $\ell_p$ balls: Is the MLE optimal?
by: Aolaritei, Liviu, et al.
Published: (2025)
by: Aolaritei, Liviu, et al.
Published: (2025)
Linearity-Inducing Priors for Poisson Parameter Estimation Under $L^{1}$ Loss
by: Barnes, Leighton P., et al.
Published: (2025)
by: Barnes, Leighton P., et al.
Published: (2025)
Stable Phase Retrieval: Optimal Rates in Poisson and Heavy-tailed Models
by: Huang, Gao, et al.
Published: (2025)
by: Huang, Gao, et al.
Published: (2025)
Optimal Non-Adaptive Group Testing with One-Sided Error Guarantees
by: McMorrow, Daniel, et al.
Published: (2025)
by: McMorrow, Daniel, et al.
Published: (2025)
Testing and estimation in orthosymmetric Gaussian sequence model
by: Jia, Zeyu, et al.
Published: (2025)
by: Jia, Zeyu, et al.
Published: (2025)
One-Bit Distributed Mean Estimation with Unknown Variance
by: Kumar, Ritesh, et al.
Published: (2025)
by: Kumar, Ritesh, et al.
Published: (2025)
Optimal Overlap Detection of Shotgun Reads
by: Luria, Nir, et al.
Published: (2025)
by: Luria, Nir, et al.
Published: (2025)
Sharp mean-field analysis of permutation mixtures and permutation-invariant decisions
by: Liang, Yiguo, et al.
Published: (2025)
by: Liang, Yiguo, et al.
Published: (2025)
Model non-collapse: Minimax bounds for recursive discrete distribution estimation
by: Kanabar, Millen, et al.
Published: (2025)
by: Kanabar, Millen, et al.
Published: (2025)
Active Nonparametric Two-Sample Testing by Betting on Heterogeneous Data Sources
by: Hsu, Chia-Yu, et al.
Published: (2025)
by: Hsu, Chia-Yu, et al.
Published: (2025)
An Improved Lower Bound on Cardinality of Support of the Amplitude-Constrained AWGN Channel
by: Wang, Haiyang, et al.
Published: (2025)
by: Wang, Haiyang, et al.
Published: (2025)
Optimal Decision Rules for Composite Binary Hypothesis Testing under Neyman-Pearson Framework
by: Song, Yanglei, et al.
Published: (2025)
by: Song, Yanglei, et al.
Published: (2025)
Minimax Analysis of Estimation Problems in Coherent Imaging
by: Xing, Hao, et al.
Published: (2025)
by: Xing, Hao, et al.
Published: (2025)
Non-Asymptotic Error Bounds for Causally Conditioned Directed Information Rates of Gaussian Sequences
by: Zheng, Yuping, et al.
Published: (2025)
by: Zheng, Yuping, et al.
Published: (2025)
From Asymptotic to Finite-Sample Minimax Robust Hypothesis Testing
by: Gül, Gökhan
Published: (2026)
by: Gül, Gökhan
Published: (2026)
Similar Items
-
Random geometric graphs with smooth kernels: sharp detection threshold and a spectral conjecture
by: Mao, Cheng, et al.
Published: (2026) -
Sharp regret-Hellinger bounds for Gaussian empirical Bayes via polynomial approximation
by: Chen, Jiafeng, et al.
Published: (2026) -
Prediction from compression for models with infinite memory, with applications to hidden Markov and renewal processes
by: Han, Yanjun, et al.
Published: (2024) -
On the best approximation by finite Gaussian mixtures
by: Ma, Yun, et al.
Published: (2024) -
Besting Good--Turing: Optimality of Non-Parametric Maximum Likelihood for Distribution Estimation
by: Han, Yanjun, et al.
Published: (2025)