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Showing 1 to 6 of 6 for “"low-rank model"”.

  1. Low-rank graphical models and Bayesian inference in the statistical analysis of noisy neural data

    … been difficult to find general constructions for models in which efficient exact inference is possible, outside of certain classical cases. We identify a class of such models that are tractable owing to a certain "low-rank" structure in the potentials that couple neighboring variables. In the …

    columbia-diss Repository record for Low-rank graphical models and Bayesian inference in the statistical analysis of noisy neural data (opens in a new tab)

  2. Low-rank estimation and embedding learning: theory and applications

    … feature space. For example, in the vector space model of text data, the feature dimension is the vocabulary size. If representing a social network using an adjacency matrix, the feature dimension corresponds to the number of objects in the network. Many other datasets also fall into this …

    uiuc Repository record for Low-rank estimation and embedding learning: theory and applications (opens in a new tab)

  3. Adaptive nonlocal and structured sparse signal modeling and applications

    … especially using the synthesis dictionary model, have been heavily exploited in signal processing and computer vision. Many applications such as image and video denoising, inpainting, demosaicing, super-resolution, magnetic resonance imaging (MRI), and computed tomography (CT) …

    uiuc Repository record for Adaptive nonlocal and structured sparse signal modeling and applications (opens in a new tab)

  4. Non-Parametric Spatial Models

    … I undertake two non-parametric approaches to modelling the covariance functions.</p> <p>Our approach is motivated by problems that arise in spatial data analysis in recent years. First, it is nontrivial to choose a parametric family among many parametric families of covariance function. A …

    purdue-thes Repository record for Non-Parametric Spatial Models (opens in a new tab)

  5. A subspace approach to high-resolution magnetic resonance spectroscopic imaging

    … of in vivo MRSI have been progressing more slowly than expected. The main reasons for this situation are the problems of long data acquisition time, poor spatial resolution and low signal-to-noise ratio (SNR) for this imaging modality. In the last four decades, significant efforts have been …

    uiuc Repository record for A subspace approach to high-resolution magnetic resonance spectroscopic imaging (opens in a new tab)

  6. Fast MRI with sparse sampling: models, algorithms, and applications

    … imaging approaches, including imaging models and reconstruction algorithms, to enable high-quality reconstruction from highly undersampled data. The utility of the proposed techniques is demonstrated in two challenging higher-dimensional MRI applications, i.e., dynamic MRI and MR …

    uiuc Repository record for Fast MRI with sparse sampling: models, algorithms, and applications (opens in a new tab)