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We introduce a new approach for decoupling trends (drift) and changepoints (shifts) in time series. Our locally adaptive model-based approach for robustly decoupling combines Bayesian trend filtering and machine learning based…

Methodology · Statistics 2024-01-09 Haoxuan Wu , Toryn L. J. Schafer , Sean Ryan , David S. Matteson

A mixture of shifted asymmetric Laplace distributions is introduced and used for clustering and classification. A variant of the EM algorithm is developed for parameter estimation by exploiting the relationship with the general inverse…

Methodology · Statistics 2017-10-09 Brian C. Franczak , Ryan P. Browne , Paul D. McNicholas

Algorithms for community detection are usually stochastic, leading to different partitions for different choices of random seeds. Consensus clustering has proven to be an effective technique to derive more stable and accurate partitions…

Physics and Society · Physics 2019-04-23 Aditya Tandon , Aiiad Albeshri , Vijey Thayananthan , Wadee Alhalabi , Santo Fortunato

The likelihood-free sequential Approximate Bayesian Computation (ABC) algorithms, are increasingly popular inference tools for complex biological models. Such algorithms proceed by constructing a succession of probability distributions over…

Computation · Statistics 2012-10-12 Daniel Silk , Saran Filippi , Michael P. H. Stumpf

Lennard-Jones clusters, while an easy system, have a significant number of non equivalent configurations that increases rapidly with the number of atoms in the cluster. Here, we aim at determining the cluster partition function; we use the…

Computational Physics · Physics 2026-02-20 Lune Maillard , Fabio Finocchi , César Godinho , Martino Trassinelli

Sampling errors in nested sampling parameter estimation differ from those in Bayesian evidence calculation, but have been little studied in the literature. This paper provides the first explanation of the two main sources of sampling errors…

Methodology · Statistics 2018-12-11 Edward Higson , Will Handley , Mike Hobson , Anthony Lasenby

We present a new fast online clustering algorithm that reliably recovers arbitrary-shaped data clusters in high throughout data streams. Unlike the existing state-of-the-art online clustering methods based on k-means or k-medoid, it does…

Artificial Intelligence · Computer Science 2015-06-11 Krzysztof Choromanski , Sanjiv Kumar , Xiaofeng Liu

In many real life problems, objects are described by large number of binary features. For instance, documents are characterized by presence or absence of certain keywords; cancer patients are characterized by presence or absence of certain…

Applications · Statistics 2016-03-09 Tapesh Santra

Using statistical learning methods to analyze stochastic simulation outputs can significantly enhance decision-making by uncovering relationships between different simulated systems and between a system's inputs and outputs. We focus on…

Methodology · Statistics 2026-05-28 Mohammadmahdi Ghasemloo , David J. Eckman

We present the Bayesian consensus filter (BCF) for tracking a moving target using a networked group of sensing agents and achieving consensus on the best estimate of the probability distributions of the target's states. Our BCF framework…

Optimization and Control · Mathematics 2016-10-14 Saptarshi Bandyopadhyay , Soon-Jo Chung

In this paper, I will introduce a fast and novel clustering algorithm based on Gaussian distribution and it can guarantee the separation of each cluster centroid as a given parameter, $d_s$. The worst run time complexity of this algorithm…

Databases · Computer Science 2019-10-22 Yuan-Yen Tai

This work focuses on the development of an analytical framework to study a diffusion-assisted molecular communication-based network of nano-machines (NMs) with a clustered initial deployment to detect a target in a three-dimensional (3D)…

Information Theory · Computer Science 2025-12-17 Nithin V. Sabu , Kaushlendra Pandey , Abhishek K. Gupta , Sameer S. M

Unsupervised machine learning, and in particular data clustering, is a powerful approach for the analysis of datasets and identification of characteristic features occurring throughout a dataset. It is gaining popularity across scientific…

Mesoscale and Nanoscale Physics · Physics 2021-03-23 Maria El Abbassi , Jan Overbeck , Oliver Braun , Michel Calame , Herre S. J. van der Zant , Mickael L. Perrin

In recent years there has been substantial development in algorithms for quantum phase estimation. In this work we provide a new approach to online Bayesian phase estimation that achieves Heisenberg limited scaling that requires…

Quantum Physics · Physics 2022-08-10 Cassandra Granade , Nathan Wiebe

Robustly determining the optimal number of clusters in a data set is an essential factor in a wide range of applications. Cluster enumeration becomes challenging when the true underlying structure in the observed data is corrupted by…

Signal Processing · Electrical Eng. & Systems 2021-05-06 Christian A. Schroth , Michael Muma

With rapidly increasing data, clustering algorithms are important tools for data analytics in modern research. They have been successfully applied to a wide range of domains; for instance, bioinformatics, speech recognition, and financial…

Data Structures and Algorithms · Computer Science 2015-12-01 Ka-Chun Wong

We present dynesty, a public, open-source, Python package to estimate Bayesian posteriors and evidences (marginal likelihoods) using Dynamic Nested Sampling. By adaptively allocating samples based on posterior structure, Dynamic Nested…

Instrumentation and Methods for Astrophysics · Physics 2020-02-12 Joshua S Speagle

Cluster analysis of biological samples using gene expression measurements is a common task which aids the discovery of heterogeneous biological sub-populations having distinct mRNA profiles. Several model-based clustering algorithms have…

Methodology · Statistics 2012-01-30 Alberto Cozzini , Ajay Jasra , Giovanni Montana

The clustering algorithms that view each object data as a single sample drawn from a certain distribution, Gaussian distribution, for example, has been a hot topic for decades. Many clustering algorithms: such as k-means and spectral…

Machine Learning · Computer Science 2019-10-25 Xiang Wang , Tie Liu

This paper introduces a new clustering technique, called {\em dimensional clustering}, which clusters each data point by its latent {\em pointwise dimension}, which is a measure of the dimensionality of the data set local to that point.…

Machine Learning · Statistics 2018-05-29 Shohei Hidaka , Neeraj Kashyap