Título: "Oriented Percolation Models: Further improvement for the critical probability on regular trees"

Palestrante: Zoraida Fernandez Rico (Columbia)
Data: 24/04/2023
Horário: 15:00h
Local: Transmissão Online

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Resumo: We present an estimator of the covariance matrix of a random d-dimensional vector from an i.i.d. finite sample. Our only assumption is that this vector satisfies a bounded L^p-L^2 marginal moment for p greater or equal than 4, and we allow an adversary to modify arbitrary a fraction of the sample. Given this, we show that the covariance can be estimated with the same high-probability error rates that the sample covariance matrix achieves in the case of Gaussian data. This talk is based on a joint work with Roberto I. Oliveira (IMPA).

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