Cover Image

Minimax rate for multivariate data under componentwise local differential privacy constraints

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Amorino, Chiara, Gloter, Arnaud
Format:	Preprint
Published:	2023
Subjects:	Statistics Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the role of symmetry for staircase mechanisms in local differential privacy efficiency across different privacy regimes
by: Amorino, Chiara, et al.
Published: (2026)

Minimax rate of estimation for invariant densities associated to continuous stochastic differential equations over anisotropic Hölder classes
by: Chiara Amorino, et al.
Published: (2024)

Factorization by extremal privacy mechanisms: new insights into efficiency
by: Amorino, Chiara, et al.
Published: (2025)

Malliavin calculus for the optimal estimation of the invariant density of discretely observed diffusions in intermediate regime
by: Amorino, Chiara, et al.
Published: (2022)

Evolving privacy: drift parameter estimation for discretely observed i.i.d. diffusion processes under LDP
by: Amorino, Chiara, et al.
Published: (2024)

Minimax density estimation in the adversarial framework under local differential privacy
by: Albert, Mélisande, et al.
Published: (2024)

Nonparametric estimation of the stationary density for Hawkes-diffusion systems with known and unknown intensity
by: Amorino, Chiara, et al.
Published: (2024)

Drift estimation for rough processes under small noise asymptotic : trajectory fitting method
by: Gloter, Arnaud, et al.
Published: (2025)

Quasi-likelihood analysis for adaptive estimation of a degenerate diffusion process
by: Gloter, Arnaud, et al.
Published: (2024)

Efficiency in local differential privacy
by: Steinberger, Lukas
Published: (2023)

Kinetic interacting particle system: parameter estimation from complete and partial discrete observations
by: Amorino, Chiara, et al.
Published: (2024)

Fast convergence rates for estimating the stationary density in SDEs driven by a fractional Brownian motion with semi-contractive drift
by: Amorino, Chiara, et al.
Published: (2024)

Fixed-Point Estimation of the Drift Parameter in Stochastic Differential Equations Driven by Rough Multiplicative Fractional Noise
by: Amorino, Chiara, et al.
Published: (2025)

Fractional interacting particle system: drift parameter estimation via Malliavin calculus
by: Amorino, Chiara, et al.
Published: (2025)

Sampling effects on Lasso estimation of drift functions in high-dimensional diffusion processes
by: Amorino, Chiara, et al.
Published: (2024)

Polynomial rates via deconvolution for nonparametric estimation in McKean-Vlasov SDEs
by: Amorino, Chiara, et al.
Published: (2024)

Inference in the $p_0$ model for directed networks under local differential privacy
by: Sun, Xueying, et al.
Published: (2025)

Nonparametric spectral density estimation using interactive mechanisms under local differential privacy
by: Butucea, Cristina, et al.
Published: (2025)

Distributed quasi-Newton robust estimation under differential privacy
by: Wang, Chuhan, et al.
Published: (2024)

Optimal Cox regression under federated differential privacy: coefficients and cumulative hazards
by: Hung, Elly K. H., et al.
Published: (2025)

An information theorist's tour of differential privacy
by: Sarwate, Anand D., et al.
Published: (2025)

Minimax optimal differentially private synthetic data for smooth queries
by: Ding, Rundong, et al.
Published: (2026)

Minimax rates of convergence for nonparametric regression under adversarial attacks
by: Peng, Jingfu, et al.
Published: (2024)

Minimax rates in variance and covariance changepoint testing
by: Moen, Per August Jarval
Published: (2024)

Minimax Optimal rates of convergence in the shuffled regression, unlinked regression, and deconvolution under vanishing noise
by: Durot, Cecile, et al.
Published: (2024)

Local differential privacy in survival analysis using private failure indicators
by: Maxime, Egea, et al.
Published: (2023)

Differential privacy with dependent data
by: Roth, Valentin, et al.
Published: (2025)

Minimax and adaptive estimation of general linear functionals under sparsity
by: Xie, Jie, et al.
Published: (2025)

Characterizing the minimax rate of nonparametric regression under bounded star-shaped constraints
by: Prasadan, Akshay, et al.
Published: (2024)

Minimax convergence rates of a binary plug-in type classification procedure for time-homogeneous SDE paths under low-noise conditions
by: Ella-Mintsa, Eddy Michel
Published: (2026)

Minimax asymptotics
by: Meitz, Mika, et al.
Published: (2025)

Minimax Statistical Estimation under Wasserstein Contamination
by: Chao, Patrick, et al.
Published: (2023)

Minimax Linear Regression under the Quantile Risk
by: Hanchi, Ayoub El, et al.
Published: (2024)

Minimaxity under the half-Cauchy prior
by: Maruyama, Yuzo, et al.
Published: (2024)

Minimax optimal submatrix detection: Sharp non-asymptotic rates
by: Knight, Parker, et al.
Published: (2026)

Convergence rates for estimating multivariate scale mixtures of uniform densities
by: Kim, Arlene K. H., et al.
Published: (2024)

Minimax convergence rates of a binary classification procedure for time-homogeneous SDE paths
by: Mintsa, Eddy Michel Ella
Published: (2025)

Minimax rates of convergence for the nonparametric estimation of the diffusion coefficient from time-homogeneous SDE paths
by: Mintsa, Eddy Michel Ella
Published: (2025)

Interpretation of local false discovery rates under the zero assumption
by: Xiang, Daniel, et al.
Published: (2024)

Statistical inference for rough volatility: Minimax Theory
by: Chong, Carsten, et al.
Published: (2022)