Search Results - "Abraham, Kweku"
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Fundamental limits for learning hidden Markov model parameters
Published in IEEE transactions on information theory (01-03-2023)“…We study the frontier between learnable and unlearnable hidden Markov models (HMMs). HMMs are flexible tools for clustering dependent data coming from unknown…”
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Sharp multiple testing boundary for sparse sequences
Published in The Annals of statistics (01-08-2024)Get full text
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Empirical Bayes cumulative ℓ-value multiple testing procedure for sparse sequences
Published in Electronic journal of statistics (01-01-2022)Get full text
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Deep Gaussian Process Priors for Bayesian Inference in Nonlinear Inverse Problems
Published 21-12-2023“…We study the use of a deep Gaussian process (DGP) prior in a general nonlinear inverse problem satisfying certain regularity conditions. We prove that when the…”
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Nonparametric Bayesian posterior contraction rates for scalar diffusions with high-frequency data
Published 15-02-2018“…We consider inference in the scalar diffusion model $dX_t=b(X_t)dt+\sigma(X_t)dW_t$ with discrete data $(X_{j\Delta_n})_{0\leq j \leq n}$, $n\to…”
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Frontiers to the learning of nonparametric hidden Markov models
Published 28-06-2023“…Hidden Markov models (HMMs) are flexible tools for clustering dependent data coming from unknown populations, allowing nonparametric modelling of the…”
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Fundamental limits for learning hidden Markov model parameters
Published 24-10-2022“…We study the frontier between learnable and unlearnable hidden Markov models (HMMs). HMMs are flexible tools for clustering dependent data coming from unknown…”
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On statistical Calder\'on problems
Published 08-06-2019“…For $D$ a bounded domain in $\mathbb R^d, d \ge 2,$ with smooth boundary $\partial D$, the non-linear inverse problem of recovering the unknown conductivity…”
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9
Sharp multiple testing boundary for sparse sequences
Published 28-09-2021“…This work investigates multiple testing by considering minimax separation rates in the sparse sequence model, when the testing risk is measured as the sum…”
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10
Empirical Bayes cumulative $\ell$-value multiple testing procedure for sparse sequences
Published 01-02-2021“…In the sparse sequence model, we consider a popular Bayesian multiple testing procedure and investigate for the first time its behaviour from the frequentist…”
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Multiple Testing in Nonparametric Hidden Markov Models: An Empirical Bayes Approach
Published 11-01-2021“…Given a nonparametric Hidden Markov Model (HMM) with two states, the question of constructing efficient multiple testing procedures is considered, treating one…”
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