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We consider reconstruction of an ambient signal in a compressed sensing (CS) setup where the ambient signal has a neural network based generative model. The generative model has a sparse-latent input and we refer to the generated ambient…

机器学习 · 计算机科学 2023-10-24 Antoine Honoré , Anubhab Ghosh , Saikat Chatterjee

Gaussian processes (GPs) have gained popularity as flexible machine learning models for regression and function approximation with an in-built method for uncertainty quantification. However, GPs suffer when the amount of training data is…

机器学习 · 统计学 2025-11-26 Jonas Latz , Aretha L. Teckentrup , Simon Urbainczyk

Mixture models with Gamma and or inverse-Gamma distributed mixture components are useful for medical image tissue segmentation or as post-hoc models for regression coefficients obtained from linear regression within a Generalised Linear…

机器学习 · 统计学 2016-07-27 A. Llera , D. Vidaurre , R. H. R. Pruim , C. F. Beckmann

The Gaussian Process Convolution Model (GPCM; Tobar et al., 2015a) is a model for signals with complex spectral structure. A significant limitation of the GPCM is that it assumes a rapidly decaying spectrum: it can only model smooth…

机器学习 · 统计学 2022-04-15 Wessel P. Bruinsma , Martin Tegnér , Richard E. Turner

Regression models are popular tools in empirical sciences to infer the influence of a set of variables onto a dependent variable given an experimental dataset. In neuroscience and cognitive psychology, Generalized Linear Models (GLMs)…

应用统计 · 统计学 2020-02-04 Vincent Adam , Alexandre Hyafil

This paper introduces posterior mean matching (PMM), a new method for generative modeling that is grounded in Bayesian inference. PMM uses conjugate pairs of distributions to model complex data of various modalities like images and text,…

机器学习 · 计算机科学 2024-12-23 Sebastian Salazar , Michal Kucer , Yixin Wang , Emily Casleton , David Blei

We consider the problem of parameter estimation in a high-dimensional generalized linear model. Spectral methods obtained via the principal eigenvector of a suitable data-dependent matrix provide a simple yet surprisingly effective…

统计理论 · 数学 2025-07-11 Yihan Zhang , Hong Chang Ji , Ramji Venkataramanan , Marco Mondelli

Future wireless networks aim to deliver high data rates and lower power consumption while ensuring seamless connectivity, necessitating robust optimization. Large language models (LLMs) have been deployed for generalized optimization…

网络与互联网体系结构 · 计算机科学 2025-03-12 Muhammad Ahmed Mohsin , Ahsan Bilal , Sagnik Bhattacharya , John M. Cioffi

In this paper, we introduce a new and efficient data augmentation approach to the posterior inference of the models with shape parameters when the reciprocal gamma function appears in full conditional densities. Our approach is to…

统计方法学 · 统计学 2023-11-08 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

This paper introduces the open-source framework, GIRA, which implements fundamental robotics algorithms for reconstruction, pose estimation, and occupancy modeling using compact generative models. Compactness enables perception in the large…

机器人学 · 计算机科学 2024-04-18 Kshitij Goel , Wennie Tabib

Aggregated data is commonplace in areas such as epidemiology and demography. For example, census data for a population is usually given as averages defined over time periods or spatial resolutions (cities, regions or countries). In this…

机器学习 · 统计学 2020-02-20 Fariba Yousefi , Michael Thomas Smith , Mauricio A. Álvarez

With the rapid development of Generative Artificial Intelligence (GAI) technology, Generative Diffusion Models (GDMs) have shown significant empowerment potential in the field of wireless networks due to advantages, such as noise…

信号处理 · 电气工程与系统科学 2026-03-04 Dayu Fan , Rui Meng , Xiaodong Xu , Yiming Liu , Guoshun Nan , Chenyuan Feng , Shujun Han , Song Gao , Bingxuan Xu , Dusit Niyato , Tony Q. S. Quek , Ping Zhang

We present a novel method that integrates subspace modeling with an adaptive generative image prior for high-dimensional MR image reconstruction. The subspace model imposes an explicit low-dimensional representation of the high-dimensional…

图像与视频处理 · 电气工程与系统科学 2023-06-19 Ruiyang Zhao , Xi Peng , Varun A. Kelkar , Mark A. Anastasio , Fan Lam

The problem of estimating a random vector x from noisy linear measurements y = A x + w with unknown parameters on the distributions of x and w, which must also be learned, arises in a wide range of statistical learning and linear inverse…

信息论 · 计算机科学 2017-06-20 Alyson K. Fletcher , Mojtaba Sahraee-Ardakan , Philip Schniter , Sundeep Rangan

The goal of compressed sensing is to estimate a vector from an underdetermined system of noisy linear measurements, by making use of prior knowledge on the structure of vectors in the relevant domain. For almost all results in this…

机器学习 · 统计学 2017-03-10 Ashish Bora , Ajil Jalal , Eric Price , Alexandros G. Dimakis

A framework of online adaptive statistical compressed sensing is introduced for signals following a mixture model. The scheme first uses non-adaptive measurements, from which an online decoding scheme estimates the model selection. As soon…

计算机视觉与模式识别 · 计算机科学 2011-12-30 Julio Duarte-Carvajalino , Guillermo Sapiro , Guoshen Yu , Lawrence Carin

The Collective Graphical Model (CGM) models a population of independent and identically distributed individuals when only collective statistics (i.e., counts of individuals) are observed. Exact inference in CGMs is intractable, and previous…

机器学习 · 计算机科学 2014-05-21 Li-Ping Liu , Daniel Sheldon , Thomas G. Dietterich

We consider the general problem of recovering a high-dimensional signal from noisy quantized measurements. Quantization, especially coarse quantization such as 1-bit sign measurements, leads to severe information loss and thus a good prior…

信号处理 · 电气工程与系统科学 2023-02-21 Xiangming Meng , Yoshiyuki Kabashima

We develop and present a generalization of the GN-model - the generalized Gaussian noise (GGN) model - to enabling a fair application of GN-model to predict generation of nonlinear interference when loss parameters relevantly vary with…

光学 · 物理学 2018-06-25 Mattia Cantono , Dario Pilori , Alessio Ferrari , Vittorio Curri

Statistical channel models are instrumental to design and evaluate wireless communication systems. In the millimeter wave bands, such models become acutely challenging; they must capture the delay, directions, and path gains, for each link…

信号处理 · 电气工程与系统科学 2020-12-18 William Xia , Sundeep Rangan , Marco Mezzavilla , Angel Lozano , Giovanni Geraci , Vasilii Semkin , Giuseppe Loianno