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The classical approach for quantiles computation requires availability of the full sample before ranking it. In uncertainty quantification of numerical simulation models, this approach is not suitable at exascale as large ensembles of…

Statistics Theory · Mathematics 2019-05-13 Alejandro Ribes , Théophile Terraz , Bertrand Iooss , Yvan Fournier , Bruno Raffin

To identify novel dynamic patterns of gene expression, we develop a statistical method to cluster noisy measurements of gene expression collected from multiple replicates at multiple time points, with an unknown number of clusters. We…

Applications · Statistics 2013-12-02 Audrey Qiuyan Fu , Steven Russell , Sarah J. Bray , Simon Tavaré

Transferring a deep neural network trained on one problem to another requires only a small amount of data and little additional computation time. The same behaviour holds for ensembles of deep learning models typically superior to a single…

Machine Learning · Computer Science 2022-06-28 Ilya Shashkov , Nikita Balabin , Evgeny Burnaev , Alexey Zaytsev

Over the last decades, the family of $\alpha$-stale distributions has proven to be useful for modelling in telecommunication systems. Particularly, in the case of radar applications, finding a fast and accurate estimation for the amplitude…

Methodology · Statistics 2023-11-15 Mahdi Teimouri

Nonparametric mixture models based on the Dirichlet process are an elegant alternative to finite models when the number of underlying components is unknown, but inference in such models can be slow. Existing attempts to parallelize…

Machine Learning · Statistics 2012-12-03 Sinead A. Williamson , Avinava Dubey , Eric P. Xing

Statistical depths have been well studied for multivariate and functional data over the past few decades, but remain under-explored for point processes. A first attempt on the notion of point process depth was conducted recently where the…

Methodology · Statistics 2019-09-17 Kai Qi , Yang Chen , Wei Wu

We explore the problems of classification of composite object (images, speech signals) with low number of models per class. We study the question of improving recognition performance for medium-sized database (thousands of classes). The key…

Computer Vision and Pattern Recognition · Computer Science 2017-09-19 Andrey Savchenko

An important line of research is the investigation of the laws of random variables known as Dirichlet means as discussed in Cifarelli and Regazzini(1990). However there is not much information on inter-relationships between different…

Probability · Mathematics 2011-11-10 Lancelot F. James

In this paper, a new method for investigating Dirichlet's divisor problem is developed. For this purpose, integer points under the graph of a hyperbola are studied. Since many investigations in this direction focus on direct estimates of…

Number Theory · Mathematics 2026-05-05 Ilgar Jabbarov

Bayesian neural networks (BNNs) can account for both aleatoric and epistemic uncertainty. However, in BNNs the priors are often specified over the weights which rarely reflects true prior knowledge in large and complex neural network…

Machine Learning · Computer Science 2023-01-25 Vishnu Raj , Tianyu Cui , Markus Heinonen , Pekka Marttinen

We present MorphNet, an approach to automate the design of neural network structures. MorphNet iteratively shrinks and expands a network, shrinking via a resource-weighted sparsifying regularizer on activations and expanding via a uniform…

Machine Learning · Computer Science 2018-04-19 Ariel Gordon , Elad Eban , Ofir Nachum , Bo Chen , Hao Wu , Tien-Ju Yang , Edward Choi

We present a Dirichlet process mixture model over discrete incomplete rankings and study two Gibbs sampling inference techniques for estimating posterior clusterings. The first approach uses a slice sampling subcomponent for estimating…

Machine Learning · Computer Science 2012-03-19 Marina Meila , Harr Chen

Multithreshold Entropy Linear Classifier (MELC) is a density based model which searches for a linear projection maximizing the Cauchy-Schwarz Divergence of dataset kernel density estimation. Despite its good empirical results, one of its…

Machine Learning · Computer Science 2015-04-21 Rafal Jozefowicz , Wojciech Marian Czarnecki

Despite the increasing popularity of quantile regression models for continuous responses, models for count data have so far received little attention. The main quantile regression technique for count data involves adding uniform random…

Methodology · Statistics 2014-06-10 Charalampos Chanialidis , Ludger Evers , Tereza Neocleous

Matrix Dirichlet processes, in reference to their reversible measure, appear in a natural way in many different models in probability. Applying the language of diffusion operators and the method of boundary equations, we describe Dirichlet…

Probability · Mathematics 2017-07-04 Songzi Li

Item response theory (IRT) models typically rely on a normality assumption for subject-specific latent traits, which is often unrealistic in practice. Semiparametric extensions based on Dirichlet process mixtures offer a more flexible…

Maximum-likelihood (ML) decoding for arbitrary block codes remains fundamentally hard, with worst-case time complexity-measured by the total number of multiplications-being no better than straightforward exhaustive search, which requires…

Information Theory · Computer Science 2026-01-21 Hoang Ly , Emina Soljanin , Michael Schleppy

Fast approximations to matrix multiplication have the potential to dramatically reduce the cost of neural network inference. Recent work on approximate matrix multiplication proposed to replace costly multiplications with table-lookups by…

Machine Learning · Computer Science 2022-07-14 Calvin McCarter , Nicholas Dronen

The complexity of the Metropolis-Hastings (MH) algorithm arises from the requirement of a likelihood evaluation for the full data set in each iteration. Payne and Mallick (2015) propose to speed up the algorithm by a delayed acceptance…

Computation · Statistics 2017-03-23 Matias Quiroz , Minh-Ngoc Tran , Mattias Villani , Robert Kohn

Large amounts of data has made neural machine translation (NMT) a big success in recent years. But it is still a challenge if we train these models on small-scale corpora. In this case, the way of using data appears to be more important.…

Computation and Language · Computer Science 2020-12-01 Chen Xu , Bojie Hu , Yufan Jiang , Kai Feng , Zeyang Wang , Shen Huang , Qi Ju , Tong Xiao , Jingbo Zhu