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In this letter, a binary sparse Bayesian learning (BSBL) algorithm is proposed to slove the one-bit compressed sensing (CS) problem in both single measurement vector (SMV) and multiple measurement vectors (MMVs). By utilising the…

Information Theory · Computer Science 2018-05-09 Jiang Zhu , Lin Han , Xiangming Meng , Zhiwei Xu

The clustering of bounded data presents unique challenges in statistical analysis due to the constraints imposed on the data values. This paper introduces a novel method for model-based clustering specifically designed for bounded data.…

Methodology · Statistics 2025-05-16 Luca Scrucca

Compressive sensing (CS) combines data acquisition with compression coding to reduce the number of measurements required to reconstruct a sparse signal. In optics, this usually takes the form of projecting the field onto sequences of random…

Information Theory · Computer Science 2018-10-24 Davood Mardani , H. Esat Kondakci , Lane Martin , Ayman F. Abouraddy , George K. Atia

We construct a cross-entropy clustering (CEC) theory which finds the optimal number of clusters by automatically removing groups which carry no information. Moreover, our theory gives simple and efficient criterion to verify cluster…

Information Theory · Computer Science 2014-05-19 Przemysław Spurek , Jacek Tabor

Compressed sensing (CS) provides an elegant framework for recovering sparse signals from compressed measurements. For example, CS can exploit the structure of natural images and recover an image from only a few random measurements. CS is…

Machine Learning · Computer Science 2019-05-21 Yan Wu , Mihaela Rosca , Timothy Lillicrap

We present an atomic cluster expansion (ACE) for carbon that improves over available classical and machine learning potentials. The ACE is parameterized from an exhaustive set of important carbon structures at extended volume and energy…

Materials Science · Physics 2023-06-13 Minaam Qamar , Matous Mrovec , Yury Lysogorskiy , Anton Bochkarev , Ralf Drautz

Disease subtype identification (clustering) is an important problem in biomedical research. Gene expression profiles are commonly utilized to infer disease subtypes, which often lead to biologically meaningful insights into disease. Despite…

Methodology · Statistics 2016-09-27 Jiehuan Sun , Joshua L. Warren , Hongyu Zhao

We present the Bayesian Case Model (BCM), a general framework for Bayesian case-based reasoning (CBR) and prototype classification and clustering. BCM brings the intuitive power of CBR to a Bayesian generative framework. The BCM learns…

Machine Learning · Statistics 2019-04-05 Been Kim , Cynthia Rudin , Julie Shah

Modeling complex physical systems such as they arise in civil engineering applications requires finding a trade-off between physical fidelity and practicality. Consequently, deviations of simulation from measurements are ubiquitous even…

Computational Engineering, Finance, and Science · Computer Science 2026-03-18 Paolo Villani , Daniel Andrés Arcones , Jörg F. Unger , Martin Weiser

Compressed sensing (CS) is a signal acquisition paradigm to simultaneously acquire and reduce dimension of signals that admit sparse representation. This is achieved by collecting linear, non-adaptive measurements of a signal, which can be…

Information Theory · Computer Science 2019-11-19 Arman Arian , Ozgur Yilmaz

A trend in compressed sensing (CS) is to exploit structure for improved reconstruction performance. In the basic CS model, exploiting the clustering structure among nonzero elements in the solution vector has drawn much attention, and many…

Computation · Statistics 2011-06-13 Zhilin Zhang , Bhaskar D. Rao

This paper presents a new Compressive Sensing (CS) scheme for detecting network congested links. We focus on decreasing the required number of measurements to detect all congested links in the context of network tomography. We have expanded…

Networking and Internet Architecture · Computer Science 2013-01-24 Hoda S. Ayatollahi Tabatabaii , Hamid R. Rabiee , Mohammad Hossein Rohban , Mostafa Salehi

Ensemble clustering integrates a set of base clustering results to generate a stronger one. Existing methods usually rely on a co-association (CA) matrix that measures how many times two samples are grouped into the same cluster according…

Machine Learning · Computer Science 2023-02-24 Yuheng Jia , Sirui Tao , Ran Wang , Yongheng Wang

Recently, there has been increasing interest to leverage the competence of neural networks to analyze data. In particular, new clustering methods that employ deep embeddings have been presented. In this paper, we depart from centroid-based…

Computer Vision and Pattern Recognition · Computer Science 2018-10-22 Sharon Fogel , Hadar Averbuch-Elor , Jacov Goldberger , Daniel Cohen-Or

In the mixture modeling frame, this paper presents the polynomial Gaussian cluster-weighted model (CWM). It extends the linear Gaussian CWM, for bivariate data, in a twofold way. Firstly, it allows for possible nonlinear dependencies in the…

Methodology · Statistics 2012-07-05 Antonio Punzo

Compressive sensing (CS) is an alternative to Shannon/Nyquist sampling for the acquisition of sparse or compressible signals that can be well approximated by just K << N elements from an N-dimensional basis. Instead of taking periodic…

Information Theory · Computer Science 2016-11-17 Richard G. Baraniuk , Volkan Cevher , Marco F. Duarte , Chinmay Hegde

In recent years, there has been a growing demand to discern clusters of subjects in datasets characterized by a large set of features. Often, these clusters may be highly variable in size and present partial hierarchical structures. In this…

Methodology · Statistics 2024-07-01 Lorenzo Schiavon , Mattia Stival

Compressive Sensing (CS) theory states that real-world signals can often be recovered from much fewer measurements than those suggested by the Shannon sampling theorem. Nevertheless, recoverability does not only depend on the signal, but…

Information Theory · Computer Science 2017-05-10 Miguel Heredia Conde , Otmar Loffeld

Embedding tables are used by machine learning systems to work with categorical features. In modern Recommendation Systems, these tables can be very large, necessitating the development of new methods for fitting them in memory, even during…

Machine Learning · Computer Science 2023-10-24 Henry Ling-Hei Tsang , Thomas Dybdahl Ahle

A model-based approach is developed for clustering categorical data with no natural ordering. The proposed method exploits the Hamming distance to define a family of probability mass functions to model the data. The elements of this family…

Methodology · Statistics 2024-07-02 Raffaele Argiento , Edoardo Filippi-Mazzola , Lucia Paci