4 citations · 4 across the 5 of their papers we have counts for
7 papers
Robust Mean Estimation under Quantization
Pedro Abdalla, Junren Chen
We consider the problem of mean estimation under quantization and adversarial corruption. We construct multivariate robust estimators that are optimal up to logarithmic factors in…
On sharp stable recovery from clipped and folded measurements
Pedro Abdalla, Daniel Freeman, João P. G. Ramos +1
We investigate the stability of vector recovery from random linear measurements which have been either clipped or folded. This is motivated by applications where measurement device…
Covariance estimation with direction dependence accuracy
Pedro Abdalla, Shahar Mendelson
We construct an estimator for covariance matrices of unknown, centred random vectors X, with the given data consisting of N independent measurements of X…
Covariance Estimation under Missing Observations and Moment Equivalence
Pedro Abdalla
We consider the problem of estimating the covariance matrix of a random vector by observing i.i.d samples and each entry of the sampled vector is missed with probability . Under…
Covariance Estimation: Optimal Dimension-free Guarantees for Adversarial Corruption and Heavy Tails
Pedro Abdalla, Nikita Zhivotovskiy
We provide an estimator of the covariance matrix that achieves the optimal rate of convergence (up to constant factors) in the operator norm under two standard notions of data cont…
Robust Sparse Recovery with Sparse Bernoulli matrices via Expanders
Pedro Abdalla
Sparse binary matrices are of great interest in the field of sparse recovery, nonnegative compressed sensing, statistics in networks, and theoretical computer science. This class o…
Dictionary-Sparse Recovery From Heavy-Tailed Measurements
Pedro Abdalla, Christian Kümmerle
The recovery of signals that are sparse not in a basis, but rather sparse with respect to an over-complete dictionary is one of the most flexible settings in the field of compresse…