Cover Image

$L_q$ Lower Bounds on Distributed Estimation via Fisher Information

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chen, Wei-Ning, Özgür, Ayfer
Format:	Preprint
Published:	2024
Subjects:	Information Theory Statistics Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Information Lower Bounds for Robust Mean Estimation
by: Degenne, Rémy, et al.
Published: (2024)

RLD Fisher Information Bound for Multiparameter Estimation of Quantum Channels
by: Katariya, Vishal, et al.
Published: (2020)

Two New Families of Local Asymptotically Minimax Lower Bounds in Parameter Estimation
by: Merhav, Neri
Published: (2024)

On Information Theoretic Fairness With A Bounded Point-Wise Statistical Parity Constraint: An Information Geometric Approach
by: Zamani, Amirreza, 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)

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

An Information Geometric Approach to Fairness With Equalized Odds Constraint
by: Zamani, Amirreza, et al.
Published: (2025)

Assouad, Fano, and Le Cam with Interaction: A Unifying Lower Bound Framework and Characterization for Bandit Learnability
by: Chen, Fan, et al.
Published: (2024)

Training generative models from privatized data
by: Reshetova, Daria, et al.
Published: (2023)

One-Bit Distributed Mean Estimation with Unknown Variance
by: Kumar, Ritesh, et al.
Published: (2025)

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

On Semi-supervised Estimation of Discrete Distributions under f-divergences
by: Erol, Hasan Sabri Melihcan, et al.
Published: (2024)

Barankin-Type Bound for Constrained Parameter Estimation
by: Nitzan, Eyal, et al.
Published: (2023)

Non-Asymptotic Error Bounds for Causally Conditioned Directed Information Rates of Gaussian Sequences
by: Zheng, Yuping, et al.
Published: (2025)

Better and Simpler Lower Bounds for Differentially Private Statistical Estimation
by: Narayanan, Shyam
Published: (2023)

Fisher-Rao distances between finite-energy signals in Gaussian noise
by: Florin, Franck
Published: (2025)

Information Geometry Approach to Parameter Estimation in Hidden Markov Models
by: Hayashi, Masahito
Published: (2017)

Mixing Time of the Proximal Sampler in Relative Fisher Information via Strong Data Processing Inequality
by: Wibisono, Andre
Published: (2025)

On Closed-Form Expressions for the Fisher-Rao Distance
by: Miyamoto, Henrique K., et al.
Published: (2023)

Linearity-Inducing Priors for Poisson Parameter Estimation Under $L^{1}$ Loss
by: Barnes, Leighton P., et al.
Published: (2025)

$L^1$ Estimation: On the Optimality of Linear Estimators
by: Barnes, Leighton P., et al.
Published: (2023)

Support Recovery and $\ell_2$-Error Bound for Sparse Regression with Quadratic Measurements via Weakly-Convex-Concave Regularization
by: Fan, Jun, et al.
Published: (2026)

The Performance of Compression-Based Denoisers
by: Song, Dan, et al.
Published: (2025)

Besting Good--Turing: Optimality of Non-Parametric Maximum Likelihood for Distribution Estimation
by: Han, Yanjun, et al.
Published: (2025)

Adaptive Refinement Protocols for Distributed Distribution Estimation under $\ell^p$-Losses
by: Yuan, Deheng, et al.
Published: (2024)

PTF Testing Lower Bounds for Non-Gaussian Component Analysis
by: Diakonikolas, Ilias, et al.
Published: (2025)

The Fisher metric as a metric on the cotangent bundle
by: Nagaoka, Hiroshi
Published: (2023)

List Estimation
by: Zlatanov, Nikola, et al.
Published: (2026)

A Unified Approach to Statistical Estimation Under Nonlinear Observations: Tensor Estimation and Matrix Factorization
by: Chen, Junren, et al.
Published: (2025)

Distributed Nonparametric Estimation: from Sparse to Dense Samples per Terminal
by: Yuan, Deheng, et al.
Published: (2025)

On the Entropy of General Mixture Distributions
by: Lee, Namyoon
Published: (2026)

Bounds on Maximal Leakage over Bayesian Networks
by: Makur, Anuran, et al.
Published: (2025)

Statistical Limits for Finite-Rank Tensor Estimation
by: Rossetti, Riccardo, et al.
Published: (2025)

Minimax Analysis of Estimation Problems in Coherent Imaging
by: Xing, Hao, et al.
Published: (2025)

Gambling-Based Confidence Sequences for Bounded Random Vectors
by: Ryu, J. Jon, et al.
Published: (2024)

Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes
by: Pathak, Reese, et al.
Published: (2026)

Universal Exact Compression of Differentially Private Mechanisms
by: Liu, Yanxiao, et al.
Published: (2024)

The Curious Price of Distributional Robustness in Reinforcement Learning with a Generative Model
by: Shi, Laixi, et al.
Published: (2023)

Information Compression in the AI Era: Recent Advances and Future Challenges
by: Chen, Jun, et al.
Published: (2024)

Analysis of Age of Information for A Discrete-Time hybrid Dual-Queue System
by: Chen, Zhengchuan, et al.
Published: (2024)