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1  Gene Ontology is integrated into the matrix factorization.
2 l component analysis and non-negative matrix factorization.
3 ssion profile via sparse non-negative matrix factorization.
4  property that is equivalent to their global factorization.
5 erogeneous data based on non-negative matrix factorization.
6 s vectors recovered with non-negative matrix factorization.
7 -Ontology and orthogonal non-negative matrix factorization.
8 ional efficiently of the compatibility-based factorizations.
9 oaches: (1) quadratically regularized matrix factorization, (2) functional data analysis and (3) cano
10 nalyzed by three-dimensional positive matrix factorization (3D-PMF), showing that PBOA represented th
11 ing a Markov chain Monte Carlo (MCMC) matrix factorization algorithm (GAPS) with a threshold-independ
12 discovery was based on a non-negative matrix factorization algorithm and significant copy number vari
13  Analyses of EMGs using a nonnegative matrix factorization algorithm revealed that in seven of eight
14 arsity, and a constrained nonnegative matrix factorization algorithm to extract signals from neurons
15                                    We used a factorization algorithm to identify the muscle synergies
16 vel reformulation of the non-negative matrix factorization algorithm to simultaneously search for syn
17 uantum computers; these include Shor's prime factorization algorithm, error correction, Grover's sear
18 and immune cells using a non-negative matrix factorization algorithm.
19 study, we used iterative non-negative matrix factorization, an unbiased clustering method, on mRNA ex
20                              Positive matrix factorization analyses, based on aerosol mass spectromet
21 of OA factors, resolved with Positive Matrix Factorization analysis of AMS data, is directly investig
22                              Positive matrix factorization analysis of high-resolution mass spectral
23                              Positive matrix factorization analysis of OA mass spectra from an aeroso
24                                          Our factorization analysis revealed, in a quantitative way,
25 emiparametric model, which combines low-rank factorizations and flexible Gaussian process priors to l
26 ed class discovery using non-negative matrix factorization, and functional annotation using gene-set
27 ipal component analysis, non-negative matrix factorization, and t-distributed stochastic neighbor emb
28                   We use non-negative matrix factorization applied to the imaginary part and the nonr
29 ties by using a Bayesian non-negative matrix factorization approach.
30 gion of the phenotype space that has a given factorization as a "type", i.e. as a set of phenotypes t
31            We proposed a non-negative matrix factorization based method to rank, so as to predict, th
32                   In particular, considering factorizations based on transcript-fragment compatibilit
33                          Non-negative matrix factorization-based clustering of mRNA expression data w
34 ing characterization and non-negative matrix factorization clustering of signaling profiles.
35 h a novel combination of non-negative matrix factorization, compressed sensing and electron tomograph
36 tors were identified through positive matrix factorization coupled to single particle analysis, inclu
37                                        These factorizations decompose a dataset of single-trial popul
38 se a dual-network integrated logistic matrix factorization (DNILMF) algorithm to predict potential dr
39 ions were analyzed using non-negative matrix factorization followed by gene ontology filtering and ne
40 e incomplete network captured using a matrix factorization formulation to constrain the set of reacti
41 y analyzed in a multiple non-negative matrix factorization framework, and additional network data are
42                          Non-Negative Matrix factorization has become an essential tool for feature e
43 e component analysis and non-negative matrix factorization, have the disadvantage that they return di
44 itions among regions with different regional factorizations, i.e. for the evolution of new types or b
45                              Positive matrix factorization indicated that although volatilized Aroclo
46                The use of nonnegative matrix factorization indicated that there were five distinct DM
47 orthogonality-regularized nonnegative matrix factorization (iONMF) to integrate multiple data sources
48 rithm based on a semi-nonnegative matrix tri-factorization is applied.
49                          Non-negative matrix factorization is distinguished from the other methods by
50                     When non-negative matrix factorization is implemented as a neural network, parts-
51                          Non-negative matrix factorization is one such method and was shown to be adv
52 =U(i)Sigma(i)V(T), where V, identical in all factorizations, is obtained from the eigensystem SV=VLam
53  alternative method, knowledge-driven matrix factorization (KMF) framework, to reconstruct phenotype-
54 r to Mendel-Impute, our matrix co-clustering factorization (MCCF) model is completely new.
55 ey are each characterized by their choice of factorization method (5 options), choice of probability
56 e tool is built using a probabilistic matrix factorization method and DrugBank v3, and the latent var
57                          We have developed a factorization method that can overcome this difficulty b
58 ether, and then present a nonnegative matrix factorization method to learn the parameters of the mode
59                  Using this observation, the factorization method uses the singular value decompositi
60 pose a novel su- pervised nonnegative tensor factorization methodology that derives discriminative an
61 ssification using genomic nonnegative matrix factorization methods identified three distinct genomic
62                         We validated various factorization methods on simulated data and on populatio
63 ometric curves better than shape from motion factorization models using shape or trajectory basis fun
64       We have developed a nonnegative matrix factorization (NMF) algorithm to detect and separate spe
65                          Non-negative Matrix Factorization (NMF) algorithms associate gene expression
66 the data analysis method non-negative matrix factorization (NMF) has been applied to the analysis of
67 an be de-convolved using non-negative matrix factorization (NMF) into discrete trinucleotide-based mu
68                          Non-negative matrix factorization (NMF) is an increasingly used algorithm fo
69              We then use non-negative matrix factorization (NMF) to approximate these protein family
70 analysis methods, we used nonnegative matrix factorization (NMF) to uncover coordinated patterns of c
71 ration (BSS) techniques: non-negative matrix factorization (NMF) using additional sparse conditioning
72 calable implementation of nonnegative matrix factorization (NMF) with a new stability-driven model se
73  describe here the use of nonnegative matrix factorization (NMF), an algorithm based on decomposition
74 omponent analysis (PCA), non-negative matrix factorization (NMF), maximum autocorrelation factor (MAF
75  motif analysis based on non-negative matrix factorization (NMF).
76  transformations, such as nonnegative matrix factorization (NMF).
77                   Sparse non-negative matrix factorizations (NMFs) are useful when the degree of spar
78 ores are computed by Non-negative Matrix Tri-Factorization (NMTF) method that predicts associations b
79                                        Prime factorization of 51 and 85 can be demonstrated with only
80 es into subgroups by a joint sparse rank-one factorization of all the data matrices.
81 d of an enthalpic and entropic contribution, factorization of both can unravel the complexity of a fl
82  types have and are thus compatible with the factorization of both types.
83           At the heart of our framework is a factorization of local neighborhood information in the p
84 f the simplest instance of Shor's algorithm: factorization of N = 15 (whose prime factors are 3 and 5
85 The method, based on the multidimensional QR factorization of numerically encoded multiple sequence a
86                              Positive matrix factorization of the AMS spectra resolved the organic ae
87                            On the basis of a factorization of the likelihood and the constrained sear
88 gorithms they use by adopting an approximate factorization of the likelihood function they optimize.
89 ecture lead to the improved performance: (1) factorization of the STRF matrix into a small number of
90    Here we investigate the utility of tensor factorizations of population spike trains along space an
91                   However, these approximate factorizations of the likelihood function simplify calcu
92 demonstrate that model simplifications (i.e. factorizations of the likelihood function) adopted by ce
93 bilities, and adopting improved, data-driven factorizations of this likelihood, we demonstrate that s
94   Source apportionment using positive matrix factorization on the hourly data revealed four primary P
95  comparison with classic non-negative matrix factorization on the three well-studied datasets.
96 ry-2a algorithm (ART-2a) and positive matrix factorization partition a continuum of particle composit
97  HPLC-MS/MS analysis and (2) positive matrix factorization (PMF) analysis of aerosol mass spectromete
98 fraction of BB resolved from positive matrix factorization (PMF) analysis of organic mass spectral da
99 MS and the CO2 analyzer, (2) positive matrix factorization (PMF) analysis to separate the gas- and pa
100 Baltic Sea were evaluated by positive matrix factorization (PMF) and principal component analysis (PC
101                              Positive matrix factorization (PMF) applied to organic aerosol (OA) data
102                              Positive Matrix Factorization (PMF) applied to the data set revealed a f
103 ce apportionment of PM(2.5), positive matrix factorization (PMF) coupled with a bootstrap technique f
104 rganic compound (SVOC) data, positive matrix factorization (PMF) coupled with a bootstrap technique w
105                              Positive matrix factorization (PMF) has been applied to single particle
106 mass balance (CMB) model and positive matrix factorization (PMF) in order to quantify PBDE sources an
107  factor recently resolved by positive matrix factorization (PMF) of aerosol mass spectrometer data co
108  unique factor resolved from positive matrix factorization (PMF) of AMS organic aerosol spectra colle
109 ) were incorporated into the positive matrix factorization (PMF) receptor model to form a receptor-or
110 atistical approach, based on positive matrix factorization (PMF) shows that the COA factor was clearl
111  set has been examined using positive matrix factorization (PMF) to apportion PCB sources in the air,
112 ce apportionment tool called Positive Matrix Factorization (PMF) to identify the sources of PCBs to t
113                              Positive matrix factorization (PMF) was applied to identify and apportio
114      Source apportionment by Positive Matrix Factorization (PMF) was carried out to interpret the rea
115                              Positive matrix factorization (PMF) was used for apportioning sources of
116   To investigate this issue, Positive Matrix Factorization (PMF) was used to identify the dominant so
117                              Positive matrix factorization (PMF) was used to resolve PM0.1 source con
118 ce apportionment study using positive matrix factorization (PMF), performed on long-term PM2.5 chemic
119 by the ACSM were analyzed by positive matrix factorization (PMF), yielding three conventional factors
120 (CARP) and were analyzed via Positive Matrix Factorization (PMF).
121 source factors resolved from positive matrix factorization (PMF).
122 ater fish were examined with positive matrix factorization (PMF).
123 orks using penalized non-negative matrix tri-factorization (PNMTF).
124 teger linear programming solution to the VAF factorization problem in the case of error-free data and
125 e reconstruction of gene network as a matrix factorization problem, we first use the gene expression
126 ations as the variant allele frequency (VAF) factorization problem.
127 it of explicitly enforcing sparseness in the factorization process.
128    Compared to classical non-negative matrix factorization, proposed method: (i) improves color decom
129 ticle, a regularized non-negative matrix tri-factorization (R-NMTF) algorithm is introduced to co-clu
130                The problem of finding such a factorization reduces to finding an appropriate represen
131                For instance, Positive Matrix Factorization results are very sensitive to both the fit
132               We applied non-negative matrix factorization separately to the cortical and muscular da
133  value decomposition and non-negative matrix factorization show that our method provides higher predi
134        We propose a sparse multi-view matrix factorization (sMVMF) algorithm to jointly analyse gene
135 approaches such as sparse nonnegative matrix factorization (sNMF) and EIGENSTRAT have been proposed,
136 notation software package using a novel HMM "factorization" strategy.
137                Here, we adopt a joint matrix factorization technique to address this challenge.
138 e volume of data, we propose to apply tensor factorization techniques to reduce the data volumes.
139                    Comparisons with existing factorization, techniques, such as singular value decomp
140 h relies on a constrained nonnegative matrix factorization that expresses the spatiotemporal fluoresc
141 nstrate an algorithm for non-negative matrix factorization that is able to learn parts of faces and s
142  prediction task, utilizes collective matrix factorization to compress the data, and chaining to rela
143 o dimensions: it builds on collective matrix factorization to derive different semantics, and it form
144 visualization tool using non-negative matrix factorization to display modality changes.
145 nd water were examined using positive matrix factorization to look for evidence that PCBs and PCDD/Fs
146       In parallel, we use nonnegative matrix factorization to predict enhanced gene expression maps o
147 es the multiple alignment, we adapted the QR factorization to produce a minimal basis set of protein
148 sults introduce the concept of CX/CUR matrix factorizations to mass spectrometry imaging, describing
149  algorithm, based on the multidimensional QR factorization, to remove redundancy from a multiple stru
150 or chemical composition, and Positive Matrix Factorization was used to determine contributions of PM2
151                    Using the notion of local factorizations we develop a theory of character identity
152 nlike many popular approaches such as matrix factorization, we do not assume that users in each group
153 ction technique known as non-negative matrix factorization, we found that a variety of medial superio
154                     Using nonnegative matrix factorization, we measured the contribution of each sign
155       Such integration is possible by matrix factorization, where current approaches have an undesire
156 gy of this network, using data-driven matrix factorization, which allowed for partitioning into a set
157  is based on constrained non-negative matrix factorization with a new biologically motivated regulari
158 n curve fitting known as non-negative matrix factorization with alternating least-squares algorithm (
159                             The classical QR factorization with pivoting, developed as a fast numeric

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