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In this work, we propose an original method for aggregating multiple clustering coming from different sources of information. Each partition is encoded by a co-membership matrix between observations. Our approach uses a mixture of…

Machine Learning · Computer Science 2024-01-10 Kylliann De Santiago , Marie Szafranski , Christophe Ambroise

The paper presents a novel approach for unsupervised techniques in the field of clustering. A new method is proposed to enhance existing literature models using the proper Bayesian bootstrap to improve results in terms of robustness and…

Machine Learning · Statistics 2024-09-16 Federico Maria Quetti , Silvia Figini , Elena ballante

Recent evidence suggests that analyzing the presence/absence of taxonomic features can offer a compelling alternative to differential abundance analysis in microbiome studies. However, standard approaches to differential prevalence analysis…

Methodology · Statistics 2026-05-26 Juho Pelto , Kari Auranen , Janne V. Kujala , Leo Lahti

Bayesian models offer great flexibility for clustering applications---Bayesian nonparametrics can be used for modeling infinite mixtures, and hierarchical Bayesian models can be utilized for sharing clusters across multiple data sets. For…

Machine Learning · Computer Science 2012-06-15 Brian Kulis , Michael I. Jordan

Variational approximation has been widely used in large-scale Bayesian inference recently, the simplest kind of which involves imposing a mean field assumption to approximate complicated latent structures. Despite the computational…

Statistics Theory · Mathematics 2019-05-21 Purnamrita Sarkar , Y. X. Rachel Wang , Soumendu Sundar Mukherjee

A learning-based posterior distribution estimation method, Probabilistic Dipole Inversion (PDI), is proposed to solve quantitative susceptibility mapping (QSM) inverse problem in MRI with uncertainty estimation. A deep convolutional neural…

Image and Video Processing · Electrical Eng. & Systems 2020-04-28 Jinwei Zhang , Hang Zhang , Mert Sabuncu , Pascal Spincemaille , Thanh Nguyen , Yi Wang

A classic approach for learning Bayesian networks from data is to identify a maximum a posteriori (MAP) network structure. In the case of discrete Bayesian networks, MAP networks are selected by maximising one of several possible Bayesian…

Statistics Theory · Mathematics 2018-12-13 Marco Scutari

Bayesian phylogenetic inference is currently done via Markov chain Monte Carlo (MCMC) with simple proposal mechanisms. This hinders exploration efficiency and often requires long runs to deliver accurate posterior estimates. In this paper,…

Machine Learning · Statistics 2024-05-24 Cheng Zhang , Frederick A. Matsen

The Dirichlet Process Gaussian Mixture Model (DPGMM) is often used to cluster data when the number of clusters is unknown. One main DPGMM inference paradigm relies on sampling. Here we consider a known state-of-art sampler (proposed by…

Machine Learning · Computer Science 2022-03-28 Vlad Winter , Or Dinari , Oren Freifeld

Unsupervised models can provide supplementary soft constraints to help classify new target data under the assumption that similar objects in the target set are more likely to share the same class label. Such models can also help detect…

Machine Learning · Computer Science 2015-03-13 Ayan Acharya , Eduardo R. Hruschka , Joydeep Ghosh , Badrul Sarwar , Jean-David Ruvini

Precision mapping of landslide inventory is crucial for hazard mitigation. Most landslides generally co-exist with other confusing geological features, and the presence of such areas can only be inferred unambiguously at a large scale. In…

Image and Video Processing · Electrical Eng. & Systems 2020-02-21 Qing Zhu , Lin Chen , Han Hu , Binzhi Xu , Yeting Zhang , Haifeng Li

In the paper, we develop an ensemble-based implicit sampling method for Bayesian inverse problems. For Bayesian inference, the iterative ensemble smoother (IES) and implicit sampling are integrated to obtain importance ensemble samples,…

Numerical Analysis · Mathematics 2018-12-04 Yuming Ba , Lijian Jiang

Distribution regression has recently attracted much interest as a generic solution to the problem of supervised learning where labels are available at the group level, rather than at the individual level. Current approaches, however, do not…

Machine Learning · Statistics 2021-01-18 Ho Chung Leon Law , Danica J. Sutherland , Dino Sejdinovic , Seth Flaxman

Monocular depth estimation (MDE) methods are often either too computationally expensive or not accurate enough due to the trade-off between model complexity and inference performance. In this paper, we propose a lightweight network that can…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Junjie Hu , Chenyou Fan , Hualie Jiang , Xiyue Guo , Yuan Gao , Xiangyong Lu , Tin Lun Lam

Well-spread samples are desirable in many disciplines because they improve estimation when target variables exhibit spatial structure. This paper introduces an integrated methodological framework for spreading samples over the population's…

Methodology · Statistics 2025-10-29 Bardia Panahbehagh , Mehdi Mohebbi , Amir Mohammad HosseiniNasab

We consider inference from non-random samples in data-rich settings where high-dimensional auxiliary information is available both in the sample and the target population, with survey inference being a special case. We propose a regularized…

Methodology · Statistics 2021-04-13 Yutao Liu , Andrew Gelman , Qixuan Chen

A wide range of Bayesian models have been proposed for data that is divided hierarchically into groups. These models aim to cluster the data at different levels of grouping, by assigning a mixture component to each datapoint, and a mixture…

Machine Learning · Computer Science 2015-04-21 Adway Mitra

We introduce a novel approach to boost the efficiency of the importance nested sampling (INS) technique for Bayesian posterior and evidence estimation using deep learning. Unlike rejection-based sampling methods such as vanilla nested…

Instrumentation and Methods for Astrophysics · Physics 2023-06-30 Johannes U. Lange

Many inference problems involve inferring the number $N$ of components in some region, along with their properties $\{\mathbf{x}_i\}_{i=1}^N$, from a dataset $\mathcal{D}$. A common statistical example is finite mixture modelling. In the…

Computation · Statistics 2015-01-15 Brendon J. Brewer

Semisupervised methods inevitably invoke some assumption that links the marginal distribution of the features to the regression function of the label. Most commonly, the cluster or manifold assumptions are used which imply that the…

Statistics Theory · Mathematics 2011-12-02 Martin Azizyan , Aarti Singh , Larry Wasserman