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This paper presents a new Bayesian model and algorithm for nonlinear unmixing of hyperspectral images. The model proposed represents the pixel reflectances as linear combinations of the endmembers, corrupted by nonlinear (with respect to…

Methodology · Statistics 2015-10-06 Yoann Altmann , Marcelo Pereyra , Stephen McLaughlin

We study a special case of the problem of statistical learning without the i.i.d. assumption. Specifically, we suppose a learning method is presented with a sequence of data points, and required to make a prediction (e.g., a classification)…

Machine Learning · Computer Science 2018-05-22 Steve Hanneke , Liu Yang

We propose a spatial loss for unsupervised multi-channel source separation. The proposed loss exploits the duality of direction of arrival (DOA) and beamforming: the steering and beamforming vectors should be aligned for the target source,…

Audio and Speech Processing · Electrical Eng. & Systems 2022-04-04 Kohei Saijo , Robin Scheibler

Multivariate distributions often carry latent structures that are difficult to identify and estimate, and which better reflect the data generating mechanism than extrinsic structures exhibited simply by the raw data. In this paper, we…

Methodology · Statistics 2025-04-16 Bryon Aragam , Ruiyi Yang

Blind source separation is a research hotspot in the field of signal processing because it aims to separate unknown source signals from observed mixtures through an unknown transmission channel. A low computational complexity instantaneous…

Signal Processing · Electrical Eng. & Systems 2019-03-08 Pengfei Xu , Yinjie Jia , Zhijian Wang

Ensemble weather predictions typically show systematic errors that have to be corrected via post-processing. Even state-of-the-art post-processing methods based on neural networks often solely rely on location-specific predictors that…

Machine Learning · Computer Science 2022-04-12 Sebastian Lerch , Kai L. Polsterer

Multiple stains are usually used to highlight biological substances in biomedical image analysis. To decompose multiple stains for co-localization quantification, blind source separation is usually performed. Prior model-based stain…

Image and Video Processing · Electrical Eng. & Systems 2021-02-16 Xingyu Li

We propose a new type of variational autoencoder to perform improved pre-processing for clustering and anomaly detection on data with a given label. Anomalies however are not known or labeled. We call our method conditional latent space…

Machine Learning · Computer Science 2019-12-02 Erik Norlander , Alexandros Sopasakis

This paper presents a new Bayesian spectral unmixing algorithm to analyse remote scenes sensed via sparse multispectral Lidar measurements. To a first approximation, in the presence of a target, each Lidar waveform consists of a main peak,…

We present a generative modeling approach based on the variational inference framework for likelihood-free simulation-based inference. The method leverages latent variables within variational autoencoders to efficiently estimate complex…

Machine Learning · Computer Science 2025-10-20 Mayank Nautiyal , Andrey Shternshis , Andreas Hellander , Prashant Singh

Non-stationary source separation is a well-established branch of blind source separation with many different methods. However, for none of these methods large-sample results are available. To bridge this gap, we develop large-sample theory…

Statistics Theory · Mathematics 2024-09-10 François Bachoc , Christoph Muehlmann , Klaus Nordhausen , Joni Virta

We present a new method to visualize data ensembles by constructing structured probabilistic representations in latent spaces, i.e., lower-dimensional representations of spatial data features. Our approach transforms the spatial features of…

Machine Learning · Computer Science 2025-09-17 Cenyang Wu , Qinhan Yu , Liang Zhou

This paper presents an unsupervised algorithm for nonlinear unmixing of hyperspectral images. The proposed model assumes that the pixel reflectances result from a nonlinear function of the abundance vectors associated with the pure spectral…

Machine Learning · Statistics 2015-06-05 Yoann Altmann , Nicolas Dobigeon , Steve McLaughlin , Jean-Yves Tourneret

Hyperspectral image unmixing has proven to be a useful technique to interpret hyperspectral data, and is a prolific research topic in the community. Most of the approaches used to perform linear unmixing are based on convex geometry…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Lucas Drumetz , Jocelyn Chanussot , Christian Jutten , Wing-Kin Ma , Akira Iwasaki

We study an efficient dynamic blind source separation algorithm of convolutive sound mixtures based on updating statistical information in the frequency domain, andminimizing the support of time domain demixing filters by a weighted least…

Statistics Theory · Mathematics 2007-05-23 Jie Liu , Jack Xin , Yingyong Qi

We introduce a new approach to prediction in graphical models with latent-shift adaptation, i.e., where source and target environments differ in the distribution of an unobserved confounding latent variable. Previous work has shown that as…

Machine Learning · Statistics 2023-06-26 William I. Walker , Arthur Gretton , Maneesh Sahani

Deep learning methods for communications over unknown nonlinear channels have attracted considerable interest recently. In this paper, we consider semi-supervised learning methods, which are based on variational inference, for decoding…

Signal Processing · Electrical Eng. & Systems 2023-09-22 David Burshtein , Eli Bery

This paper presents a new Bayesian collaborative sparse regression method for linear unmixing of hyperspectral images. Our contribution is twofold; first, we propose a new Bayesian model for structured sparse regression in which the…

Computation · Statistics 2023-07-19 Yoann Altmann , Marcelo Pereyra , Jose Bioucas-Dias

Macromolecular and biomolecular folding landscapes typically contain high free energy barriers that impede efficient sampling of configurational space by standard molecular dynamics simulation. Biased sampling can artificially drive the…

Biological Physics · Physics 2018-11-01 Wei Chen , Andrew L Ferguson

We discuss a variant of `blind' community detection, in which we aim to partition an unobserved network from the observation of a (dynamical) graph signal defined on the network. We consider a scenario where our observed graph signals are…

Social and Information Networks · Computer Science 2019-04-29 Michael T. Schaub , Santiago Segarra , Hoi-To Wai