no code implementations • 18 Jun 2023 • Lin Liu, Rajarshi Mukherjee, James M. Robins
In many instances, an analyst justifies her claim by imposing complexity-reducing assumptions on $b$ and $p$ to ensure "rate double-robustness".
no code implementations • 30 Dec 2022 • Sean McGrath, Rajarshi Mukherjee
We consider the problem of constructing minimax rate-optimal estimators for a doubly robust nonparametric functional that has witnessed applications across the causal inference and conditional independence testing literature.
no code implementations • 15 Nov 2022 • Julien Chhor, Rajarshi Mukherjee, Subhabrata Sen
Given a heterogeneous Gaussian sequence model with unknown mean $\theta \in \mathbb R^d$ and known covariance matrix $\Sigma = \operatorname{diag}(\sigma_1^2,\dots, \sigma_d^2)$, we study the signal detection problem against sparse alternatives, for known sparsity $s$.
no code implementations • 20 May 2022 • Kuanhao Jiang, Rajarshi Mukherjee, Subhabrata Sen, Pragya Sur
In recent times, inference for the ATE in the presence of high-dimensional covariates has been extensively studied.
no code implementations • 15 Apr 2022 • Wenying Deng, Beau Coker, Rajarshi Mukherjee, Jeremiah Zhe Liu, Brent A. Coull
We develop a simple and unified framework for nonlinear variable selection that incorporates uncertainty in the prediction function and is compatible with a wide range of machine learning models (e. g., tree ensembles, kernel methods, neural networks, etc).
1 code implementation • ICLR 2022 • Rebekka Burkholz, Nilanjana Laha, Rajarshi Mukherjee, Alkis Gotovos
The lottery ticket hypothesis conjectures the existence of sparse subnetworks of large randomly initialized deep neural networks that can be successfully trained in isolation.
1 code implementation • 17 May 2021 • Maya Ramchandran, Rajarshi Mukherjee, Giovanni Parmigiani
Adapting machine learning algorithms to better handle clustering or batch effects within training data sets is important across a wide variety of biological applications.
no code implementations • 10 Dec 2020 • Nabarun Deb, Rajarshi Mukherjee, Sumit Mukherjee, Ming Yuan
In this paper, we study the effect of dependence on detecting a class of signals in Ising models, where the signals are present in a structured way.
Probability Statistics Theory Statistics Theory 62G10, 62G20, 62C20
no code implementations • 9 Dec 2020 • Aaron Sonabend-W, Nilanjana Laha, Ashwin N. Ananthakrishnan, Tianxi Cai, Rajarshi Mukherjee
2) The surrogate variables we leverage in the modified SSL framework are predictive of the outcome but not informative to the optimal policy or value function.
no code implementations • 7 Aug 2020 • Lin Liu, Rajarshi Mukherjee, James M. Robins
This is the rejoinder to the discussion by Kennedy, Balakrishnan and Wasserman on the paper "On nearly assumption-free tests of nominal confidence interval coverage for causal parameters estimated by machine learning" published in Statistical Science.
no code implementations • 8 Apr 2019 • Lin Liu, Rajarshi Mukherjee, James M. Robins
In this paper, we introduce essentially assumption-free tests that (i) can falsify the null hypothesis that the bias of $\hat{\psi}_{1}$ is of smaller order than its standard error, (ii) can provide an upper confidence bound on the true coverage of the Wald interval, and (iii) are valid under the null under no smoothness/sparsity assumptions on the nuisance parameters.
no code implementations • 11 Oct 2017 • Yanjun Han, Jiantao Jiao, Rajarshi Mukherjee
We provide a complete picture of asymptotically minimax estimation of $L_r$-norms (for any $r\ge 1$) of the mean in Gaussian white noise model over Nikolskii-Besov spaces.