Blind Source Separation for NMR Spectra with Negative Intensity
- URL: http://arxiv.org/abs/2002.03009v1
- Date: Fri, 7 Feb 2020 20:57:48 GMT
- Title: Blind Source Separation for NMR Spectra with Negative Intensity
- Authors: Ryan J. McCarty, Nimish Ronghe, Mandy Woo, Todd M. Alam
- Abstract summary: We benchmark several blind source separation techniques for analysis of NMR spectral datasets containing negative intensity.
FastICA, SIMPLISMA, and NNMF are top-performing techniques.
The accuracy of FastICA and SIMPLISMA degrades quickly if excess (unreal) pure components are predicted.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: NMR spectral datasets, especially in systems with limited samples, can be
difficult to interpret if they contain multiple chemical components (phases,
polymorphs, molecules, crystals, glasses, etc...) and the possibility of
overlapping resonances. In this paper, we benchmark several blind source
separation techniques for analysis of NMR spectral datasets containing negative
intensity. For benchmarking purposes, we generated a large synthetic datasbase
of quadrupolar solid-state NMR-like spectra that model spin-lattice T1
relaxation or nutation tip/flip angle experiments. Our benchmarking approach
focused exclusively on the ability of blind source separation techniques to
reproduce the spectra of the underlying pure components. In general, we find
that FastICA (Fast Independent Component Analysis), SIMPLISMA
(SIMPLe-to-use-Interactive Self-modeling Mixture Analysis), and NNMF
(Non-Negative Matrix Factorization) are top-performing techniques. We
demonstrate that dataset normalization approaches prior to blind source
separation do not considerably improve outcomes. Within the range of noise
levels studied, we did not find drastic changes to the ranking of techniques.
The accuracy of FastICA and SIMPLISMA degrades quickly if excess (unreal) pure
components are predicted. Our results indicate poor performance of SVD
(Singular Value Decomposition) methods, and we propose alternative techniques
for matrix initialization. The benchmarked techniques are also applied to real
solid state NMR datasets. In general, the recommendations from the synthetic
datasets agree with the recommendations and results from the real data
analysis. The discussion provides some additional recommendations for
spectroscopists applying blind source separation to NMR datasets, and for
future benchmark studies.
Related papers
- Neural Spectral Decomposition for Dataset Distillation [48.59372086450124]
We propose Neural Spectrum Decomposition, a generic decomposition framework for dataset distillation.
We aim to discover the low-rank representation of the entire dataset and perform distillation efficiently.
Our results demonstrate that our approach achieves state-of-the-art performance on benchmarks, including CIFAR10, CIFAR100, Tiny Imagenet, and ImageNet Subset.
arXiv Detail & Related papers (2024-08-29T03:26:14Z) - Nonparametric Independent Component Analysis for the Sources with Mixed
Spectra [0.06445605125467573]
Most existing ICA procedures assume independent sampling.
Second-order-statistics-based source separation methods have been developed based on parametric time series models for the mixtures from the autocorrelated sources.
We propose a new ICA method by estimating spectral density functions and line spectra of the source signals using cubic splines and indicator functions.
arXiv Detail & Related papers (2022-12-13T02:13:14Z) - Unsupervised Machine Learning for Exploratory Data Analysis of Exoplanet
Transmission Spectra [68.8204255655161]
We focus on unsupervised techniques for analyzing spectral data from transiting exoplanets.
We show that there is a high degree of correlation in the spectral data, which calls for appropriate low-dimensional representations.
We uncover interesting structures in the principal component basis, namely, well-defined branches corresponding to different chemical regimes.
arXiv Detail & Related papers (2022-01-07T22:26:33Z) - Constrained non-negative matrix factorization enabling real-time
insights of $\textit{in situ}$ and high-throughput experiments [0.0]
Non-negative Matrix Factorization (NMF) methods offer an appealing unsupervised learning method for real-time analysis of streaming spectral data.
We show how constraining NMF weights or components, provided as known or assumed priors, can provide significant improvement in revealing true underlying phenomena.
arXiv Detail & Related papers (2021-04-02T03:04:24Z) - Regularization by Denoising Sub-sampled Newton Method for Spectral CT
Multi-Material Decomposition [78.37855832568569]
We propose to solve a model-based maximum-a-posterior problem to reconstruct multi-materials images with application to spectral CT.
In particular, we propose to solve a regularized optimization problem based on a plug-in image-denoising function.
We show numerical and experimental results for spectral CT materials decomposition.
arXiv Detail & Related papers (2021-03-25T15:20:10Z) - Feature Weighted Non-negative Matrix Factorization [92.45013716097753]
We propose the Feature weighted Non-negative Matrix Factorization (FNMF) in this paper.
FNMF learns the weights of features adaptively according to their importances.
It can be solved efficiently with the suggested optimization algorithm.
arXiv Detail & Related papers (2021-03-24T21:17:17Z) - Entropy Minimizing Matrix Factorization [102.26446204624885]
Nonnegative Matrix Factorization (NMF) is a widely-used data analysis technique, and has yielded impressive results in many real-world tasks.
In this study, an Entropy Minimizing Matrix Factorization framework (EMMF) is developed to tackle the above problem.
Considering that the outliers are usually much less than the normal samples, a new entropy loss function is established for matrix factorization.
arXiv Detail & Related papers (2021-03-24T21:08:43Z) - XCloud-MoDern: An Artificial Intelligence Cloud for Accelerated NMR
Spectroscopy [12.059763077500891]
We first devise a high-performance deep learning framework (MoDern), which shows astonishing performance in robust and high-quality reconstruction of challenging multi-dimensional protein NMR spectra.
We then develop a novel artificial intelligence cloud computing platform (XCloud-MoDern), as a reliable, widely-available, ultra-fast, and easy-to-use technique for highly accelerated NMR.
arXiv Detail & Related papers (2020-12-29T16:13:01Z) - Spectral Unmixing With Multinomial Mixture Kernel and Wasserstein
Generative Adversarial Loss [4.56877715768796]
This study proposes a novel framework for spectral unmixing by using 1D convolution kernels and spectral uncertainty.
High-level representations are computed from data, and they are further modeled with the Multinomial Mixture Model.
Experiments are performed on both real and synthetic datasets.
arXiv Detail & Related papers (2020-12-12T16:49:01Z) - Modal Regression based Structured Low-rank Matrix Recovery for
Multi-view Learning [70.57193072829288]
Low-rank Multi-view Subspace Learning has shown great potential in cross-view classification in recent years.
Existing LMvSL based methods are incapable of well handling view discrepancy and discriminancy simultaneously.
We propose Structured Low-rank Matrix Recovery (SLMR), a unique method of effectively removing view discrepancy and improving discriminancy.
arXiv Detail & Related papers (2020-03-22T03:57:38Z) - Constrained Nonnegative Matrix Factorization for Blind Hyperspectral
Unmixing incorporating Endmember Independence [0.0]
This paper presents a novel blind HU algorithm, referred to as Kurtosis-based Smooth Nonnegative Matrix Factorization (KbSNMF)
It incorporates a novel constraint based on the statistical independence of the probability density functions of endmember spectra.
It exhibits superior performance especially in terms of extracting endmember spectra from hyperspectral data.
arXiv Detail & Related papers (2020-03-02T17:20:04Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.