Sparse signal detection in heteroscedastic Gaussian sequence models: sharp minimax rates

J Chhor, R Mukherjee, S Sen - Bernoulli, 2024‏ - projecteuclid.org
Sparse signal detection in heteroscedastic Gaussian sequence models: Sharp minimax
rates Page 1 Bernoulli 30(3), 2024, 2127–2153 https://doi.org/10.3150/23-BEJ1667 Sparse …

Minimax rates for sparse signal detection under correlation

S Kotekal, C Gao - Information and Inference: A Journal of the …, 2023‏ - academic.oup.com
We fully characterize the nonasymptotic minimax separation rate for sparse signal detection
in the Gaussian sequence model with equicorrelated observations, generalizing a result of …

Enhancing sparse regression modeling of hysteresis with optimized PIO algorithm in piezo actuator

Y **, J Yu, Y Xu, Q Lu, X Yang - Smart Materials and Structures, 2024‏ - iopscience.iop.org
The extensive application of piezo actuators is attributed to their high responsiveness and
ability to achieve nanoscale steps. However, the accuracy and stability of motion are …

Minimax estimation of functionals in sparse vector model with correlated observations

Y Wang, P Yang, AB Tsybakov - arxiv preprint arxiv:2407.14778, 2024‏ - arxiv.org
We consider the observations of an unknown $ s $-sparse vector ${\boldsymbol\theta} $
corrupted by Gaussian noise with zero mean and unknown covariance matrix …

Sparse uniformity testing

BB Bhattacharya, R Mukherjee - IEEE Transactions on …, 2024‏ - ieeexplore.ieee.org
In this paper we consider the uniformity testing problem for high-dimensional discrete
distributions (multinomials) under sparse alternatives. Specifically, we derive sharp …

High-dimensional asymptotics of likelihood ratio tests in the Gaussian sequence model under convex constraints

Q Han, B Sen, Y Shen - The Annals of Statistics, 2022‏ - projecteuclid.org
High-dimensional asymptotics of likelihood ratio tests in the Gaussian sequence model under
convex constraints Page 1 The Annals of Statistics 2022, Vol. 50, No. 1, 376–406 …

[PDF][PDF] Contribution to minimax estimation and bioinformatics.

O Collier - 2022‏ - hal.science
Contribution to minimax estimation and bioinformatics. Page 1 HAL Id: tel-04398670 https://hal.science/tel-04398670v1
Submitted on 16 Jan 2024 HAL is a multi-disciplinary open access archive for the deposit …

Near-Optimal Procedures for Model Discrimination with Non-Disclosure Properties

DM Ostrovskii, M Ndaoud, A Javanmard… - arxiv preprint arxiv …, 2020‏ - arxiv.org
Let $\theta_0,\theta_1\in\mathbb {R}^ d $ be the population risk minimizers associated to
some loss $\ell:\mathbb {R}^ d\times\mathcal {Z}\to\mathbb {R} $ and two distributions …