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07/12/2023
Quantitative CLTs in Deep Neural Networks
We study the distribution of a fully connected neural network with rando...
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06/26/2023
Optimal estimation of high-order missing masses, and the rare-type match problem
Consider a random sample (X_1,…,X_n) from an unknown discrete distributi...
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04/08/2023
Non-asymptotic approximations of Gaussian neural networks via second-order Poincaré inequalities
There is a growing interest on large-width asymptotic properties of Gaus...
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04/08/2023
Infinitely wide limits for deep Stable neural networks: sub-linear, linear and super-linear activation functions
There is a growing literature on the study of large-width properties of ...
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03/31/2023
Transform-scaled process priors for trait allocations in Bayesian nonparametrics
Completely random measures (CRMs) provide a broad class of priors, argua...
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03/27/2023
Random measure priors in Bayesian frequency recovery from sketches
Given a lossy-compressed representation, or sketch, of data with values ...
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11/09/2022
Conformal Frequency Estimation with Sketched Data under Relaxed Exchangeability
A flexible method is developed to construct a confidence interval for th...
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09/05/2022
Bayesian nonparametric estimation of coverage probabilities and distinct counts from sketched data
The estimation of coverage probabilities, and in particular of the missi...
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06/16/2022
Neural tangent kernel analysis of shallow α-Stable ReLU neural networks
There is a recent literature on large-width properties of Gaussian neura...
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04/08/2022
Conformalized Frequency Estimation from Sketched Data
A flexible conformal inference method is developed to construct confiden...
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03/21/2022
Strong posterior contraction rates via Wasserstein dynamics
In this paper, we develop a novel approach to posterior contractions rat...
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03/14/2022
A Bayesian Nonparametric Approach to Species Sampling Problems with Ordering
Species-sampling problems (SSPs) refer to a vast class of statistical pr...
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03/11/2022
Bayesian Nonparametric Inference for "Species-sampling" Problems
"Species-sampling" problems (SSPs) refer to a broad class of statistical...
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01/28/2022
Wasserstein posterior contraction rates in non-dominated Bayesian nonparametric models
Posterior contractions rates (PCRs) strengthen the notion of Bayesian co...
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11/03/2021
On Johnson's "sufficientness" postulates for features-sampling models
In the 1920's, the English philosopher W.E. Johnson introduced a charact...
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09/20/2021
The power of private likelihood-ratio tests for goodness-of-fit in frequency tables
Privacy-protecting data analysis investigates statistical methods under ...
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08/02/2021
Deep Stable neural networks: large-width asymptotics and convergence rates
In modern deep learning, there is a recent and growing literature on the...
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06/29/2021
Scaled process priors for Bayesian nonparametric estimation of the unseen genetic variation
There is a growing interest in the estimation of the number of unseen fe...
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04/07/2021
Near-optimal estimation of the unseen under regularly varying tail populations
Given n samples from a population of individuals belonging to different ...
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02/20/2021
Large-width functional asymptotics for deep Gaussian neural networks
In this paper, we consider fully connected feed-forward deep neural netw...
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02/08/2021
Learning-augmented count-min sketches via Bayesian nonparametrics
The count-min sketch (CMS) is a time and memory efficient randomized dat...
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02/07/2021
A Bayesian nonparametric approach to count-min sketch under power-law data streams
The count-min sketch (CMS) is a randomized data structure that provides ...
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02/07/2021
Infinite-channel deep stable convolutional neural networks
The interplay between infinite-width neural networks (NNs) and classes o...
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11/29/2020
A new approach to posterior contraction rates via Wasserstein dynamics
This paper presents a new approach to the classical problem of quantifyi...
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07/07/2020
Doubly infinite residual networks: a diffusion process approach
When neural network's parameters are initialized as i.i.d., neural netwo...
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03/01/2020
Stable behaviour of infinitely wide deep neural networks
We consider fully connected feed-forward deep neural networks (NNs) wher...
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12/11/2019
More for less: Predicting and maximizing genetic variant discovery via Bayesian nonparametrics
While the cost of sequencing genomes has decreased dramatically in recen...
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12/06/2019
Upscaling human activity data: an ecological perspective
In recent years we have witnessed an explosion of data collected for dif...
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10/23/2019
Bayesian nonparametric temporal dynamic clustering via autoregressive Dirichlet priors
In this paper we consider the problem of dynamic clustering, where clust...
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10/11/2019
Nonparametric Bayesian multi-armed bandits for single cell experiment design
The problem of maximizing cell type discovery under budget constraints i...
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05/27/2019
Neural Stochastic Differential Equations
Deep neural networks whose parameters are distributed according to typic...
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02/27/2019
Consistent estimation of the missing mass for feature models
Feature models are popular in machine learning and they have been recent...
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02/27/2019
A Good-Turing estimator for feature allocation models
Feature allocation models generalize species sampling models by allowing...
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02/14/2019
Optimal disclosure risk assessment
Protection against disclosure is a legal and ethical obligation for agen...
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06/25/2018
On consistent estimation of the missing mass
Given n samples from a population of individuals belonging to different ...
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04/19/2018
Bayesian nonparametric analysis of Kingman's coalescent
Kingman's coalescent is one of the most popular models in population gen...
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02/05/2018
A useful variant of Wilks' theorem for grouped data
This paper provides a generalization of a classical result obtained by W...
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11/03/2017
Bayesian Nonparametric Mixed Effects Models in Microbiome Data Analysis
Detecting associations between microbial composition and sample characte...
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07/07/2016
A characterization of product-form exchangeable feature probability functions
We characterize the class of exchangeable feature allocations assigning ...
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07/16/2014