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Non-negative Matrix Factorization (NMF) methods offer an appealing unsupervised learning method for real-time analysis of streaming spectral data in time-sensitive data collection, such as $\textit{in situ}$ characterization of materials.…

应用物理 · 物理学 2024-06-12 Phillip M. Maffettone , Aidan C. Daly , Daniel Olds

An algorithm is described and tested that carries out a non negative matrix factorization (NMF) ignoring any stretching of the signal along the axis of the independent variable. This extended NMF model is called StretchedNMF. Variability in…

Studying the flow of information between different areas of the brain can be performed by using the so-called Partial Directed Coherence. This measure is usually evaluated by first identifying a multivariate autoregressive model, and then…

神经元与认知 · 定量生物学 2013-11-26 Pierre-Olivier Amblard

Functional magnetic resonance imaging (fMRI) data contain complex spatiotemporal dynamics, thus researchers have developed approaches that reduce the dimensionality of the signal while extracting relevant and interpretable dynamics. Models…

计算机视觉与模式识别 · 计算机科学 2022-05-30 Eloy Geenjaar , Amrit Kashyap , Noah Lewis , Robyn Miller , Vince Calhoun

Many analyses of functional magnetic resonance imaging (fMRI) examine functional connectivity (FC), or the statistical dependencies among distant brain regions. These analyses are typically exploratory, guiding future confirmatory research.…

应用统计 · 统计学 2025-10-20 Kyle Stanley , Nicole Lazar , Matthew Reimherr

Movement speed data from urban road networks, computed from ridesharing vehicles or taxi trajectories, is often high-dimensional, sparse, and nonstationary (e.g., exhibiting seasonality). To address these challenges, we propose a…

机器学习 · 计算机科学 2026-01-28 Xinyu Chen , Chengyuan Zhang , Xi-Le Zhao , Nicolas Saunier , Lijun Sun

We present a novel graphical framework for modeling non-negative sequential data with hierarchical structure. Our model corresponds to a network of coupled non-negative matrix factorization (NMF) modules, which we refer to as a positive…

机器学习 · 计算机科学 2009-07-16 Brian K. Vogel

We propose a flexible yet interpretable model for high-dimensional data with time-varying second order statistics, motivated and applied to functional neuroimaging data. Motivated by the neuroscience literature, we factorize the covariances…

机器学习 · 统计学 2021-07-20 Katherine Tsai , Mladen Kolar , Oluwasanmi Koyejo

Non-negative matrix factorization (NMF) is a recently developed technique for finding parts-based, linear representations of non-negative data. Although it has successfully been applied in several applications, it does not always result in…

机器学习 · 计算机科学 2007-05-23 Patrik O. Hoyer

The brain uses positive signals as a means of signaling. Forward interactions in the early visual cortex are also positive, realized by excitatory synapses. Only local interactions also include inhibition. Non-negative matrix factorization…

机器学习 · 计算机科学 2025-03-27 Mahbod Nouri , David Rotermund , Alberto Garcia-Ortiz , Klaus R. Pawelzik

Non-negative matrix factorization (NMF) and non-negative tensor factorization (NTF) decompose non-negative high-dimensional data into non-negative low-rank components. NMF and NTF methods are popular for their intrinsic interpretability and…

机器学习 · 计算机科学 2024-12-02 Alexander Sietsema , Zerrin Vural , James Chapman , Yotam Yaniv , Deanna Needell

Brain tumor classification from magnetic resonance imaging, which is also known as MRI, plays a sensitive role in computer-assisted diagnosis systems. In recent years, deep learning models have achieved high classification accuracy.…

计算机视觉与模式识别 · 计算机科学 2026-04-21 Hiba Adil Al-kharsan , Róbert Rajkó

Functional magnetic resonance imaging (fMRI) data provides information concerning activity in the brain and in particular the interactions between brain regions. Resting state fMRI data is widely used for inferring connectivities in the…

应用统计 · 统计学 2019-03-04 Christina Stoehr , John A D Aston , Claudia Kirch

Computational biomechanics of the brain for neurosurgery is an emerging area of research recently gaining in importance and practical applications. This review paper presents the contributions of the Intelligent Systems for Medicine…

计算工程、金融与科学 · 计算机科学 2019-04-03 K. Miller , G. R. Joldes , G. Bourantas , S. K. Warfield , D. E. Hyde , R. Kikinis , A. Wittek

We introduce a new method based on nonnegative matrix factorization, Neural NMF, for detecting latent hierarchical structure in data. Datasets with hierarchical structure arise in a wide variety of fields, such as document classification,…

机器学习 · 计算机科学 2023-03-02 Tyler Will , Runyu Zhang , Eli Sadovnik , Mengdi Gao , Joshua Vendrow , Jamie Haddock , Denali Molitor , Deanna Needell

Due to the rapid developments in Intelligent Transportation System (ITS) and increasing trend in the number of vehicles on road, abundant of road traffic data is generated and available. Understanding spatio-temporal traffic patterns from…

The nonnegative matrix factorization is a widely used, flexible matrix decomposition, finding applications in biology, image and signal processing and information retrieval, among other areas. Here we present a related matrix factorization.…

机器学习 · 统计学 2017-12-12 David W Dreisigmeyer

Nonnegative matrix factorization (NMF) has an established reputation as a useful data analysis technique in numerous applications. However, its usage in practical situations is undergoing challenges in recent years. The fundamental factor…

机器学习 · 计算机科学 2016-05-04 Mariano Tepper , Guillermo Sapiro

Nonnegative matrix factorization (NMF) has been actively investigated and used in a wide range of problems in the past decade. A significant amount of attention has been given to develop NMF algorithms that are suitable to model time series…

机器学习 · 计算机科学 2017-09-04 Nasser Mohammadiha , Paris Smaragdis , Ghazaleh Panahandeh , Simon Doclo

Diffusion magnetic resonance imaging (dMRI) is a relatively modern technique used to study tissue microstructure in a non-invasive way. Non-Gaussian diffusion representation is related to the restricted diffusion and can provide information…

信号处理 · 电气工程与系统科学 2020-09-17 Tomasz Pieciak , Maryam Afzali , Fabian Bogusz , Aja-Fernández , Derek K. Jones
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