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1 erogeneous data based on non-negative matrix factorization.
2 s vectors recovered with non-negative matrix factorization.
3 -Ontology and orthogonal non-negative matrix factorization.
4  isoform Functions with collaborative matrix factorization.
5  Gene Ontology is integrated into the matrix factorization.
6 l component analysis and non-negative matrix factorization.
7 ssion profile via sparse non-negative matrix factorization.
8  property that is equivalent to their global factorization.
9  iteration, demonstrated by the matrix polar factorization.
10 , a group testing method based on hypergraph factorization.
11 sing network-regularized non-negative matrix factorization.
12 ual clustering technique non-negative matrix factorization.
13 utational signatures via non-negative matrix factorization.
14 y structure to further coordinate the matrix factorization.
15 re by an orthonormal projective non-negative factorization.
16 ional efficiently of the compatibility-based factorizations.
17 al conjectures such as the hardness of prime factorization(1) to provide security against eavesdroppi
18 oaches: (1) quadratically regularized matrix factorization, (2) functional data analysis and (3) cano
19 nalyzed by three-dimensional positive matrix factorization (3D-PMF), showing that PBOA represented th
20 ks were delineated using non-negative matrix factorization, a multivariate analysis technique.
21        With 10-fold cross-validation, tensor factorization achieved AUROC = 0.82 +/- 0.02 and AUPRC =
22 d residual oil estimated via positive matrix factorization) across three U.S. highly urbanized region
23 ing a Markov chain Monte Carlo (MCMC) matrix factorization algorithm (GAPS) with a threshold-independ
24 discovery was based on a non-negative matrix factorization algorithm and significant copy number vari
25 -seq data sets by applying the CoGAPS Matrix Factorization algorithm and the projectR transfer learni
26  Analyses of EMGs using a nonnegative matrix factorization algorithm revealed that in seven of eight
27 the efficiency of the CoGAPS Bayesian matrix factorization algorithm so that it can analyze 1000 time
28 arsity, and a constrained nonnegative matrix factorization algorithm to extract signals from neurons
29                                    We used a factorization algorithm to identify the muscle synergies
30 vel reformulation of the non-negative matrix factorization algorithm to simultaneously search for syn
31 an unsupervised Bayesian non-negative matrix factorization algorithm using public genome-wide associa
32 ed end-to-end implementation of Shor's prime factorization algorithm, developed as part of a framewor
33 uantum computers; these include Shor's prime factorization algorithm, error correction, Grover's sear
34 ethod using an iterative non-negative matrix factorization algorithm.
35 and immune cells using a non-negative matrix factorization algorithm.
36 rithms, quaternary phase estimation and fast factorization algorithms.
37 (Triple inTegrative fast non-negative matrix factorization), an efficient joint factorization method
38 ped cNMTF (corrected non-negative matrix tri-factorization), an integrative algorithm based on cluste
39 ntronics technology, and demonstrate integer factorization, an illustrative example of the optimizati
40 study, we used iterative non-negative matrix factorization, an unbiased clustering method, on mRNA ex
41          Here, we applied nonnegative matrix factorization, an unsupervised multivariate pattern anal
42                              Positive matrix factorization analyses, based on aerosol mass spectromet
43 of OA factors, resolved with Positive Matrix Factorization analysis of AMS data, is directly investig
44                              Positive matrix factorization analysis of high-resolution mass spectral
45                              Positive matrix factorization analysis of OA mass spectra from an aeroso
46                                            A factorization analysis on the smoothed discharge rates o
47                                          Our factorization analysis revealed, in a quantitative way,
48 tworks were derived using nonnegative matrix factorization and analyzed using generalized additive mo
49  was further analyzed by non-negative matrix factorization and demonstrated to be attributable to are
50 tic Regression, LASSO, Random Forest, Tensor Factorization and Gradient Boosting Machine.
51                            Leveraging matrix factorization and optimal transport methods, we found th
52 atterns via unsupervised non-negative matrix factorization and quantifies the reproducibility of frag
53 at TCSM outperforms both non-negative matrix factorization and topic modeling-based approaches, parti
54                          Non-negative matrix factorization and uncontrolled manifold analysis were pe
55            Within HFpEF, non-negative matrix factorization and weighted gene coexpression analysis id
56 emiparametric model, which combines low-rank factorizations and flexible Gaussian process priors to l
57 ed class discovery using non-negative matrix factorization, and functional annotation using gene-set
58 ipal component analysis, non-negative matrix factorization, and t-distributed stochastic neighbor emb
59 n parcellation technique-non-negative matrix factorization-and applied it to cortical thickness data
60                   We use non-negative matrix factorization applied to the imaginary part and the nonr
61                              Positive matrix factorization applied to the organic mass spectra sugges
62 ties by using a Bayesian non-negative matrix factorization approach.
63 gion of the phenotype space that has a given factorization as a "type", i.e. as a set of phenotypes t
64            We proposed a non-negative matrix factorization based method to rank, so as to predict, th
65                   In particular, considering factorizations based on transcript-fragment compatibilit
66                          Non-negative matrix factorization-based clustering of mRNA expression data w
67 his article, we propose a Nonnegative Matrix Factorization-based Immune-TUmor MIcroenvironment Deconv
68 MM patients using unsupervised binary matrix factorization (BMF) clustering and identify six distinct
69 presented a new algorithm for Boolean matrix factorization (BMF) via expectation maximization (BEM).
70 at were based on Bayesian nonnegative matrix factorization (bNMF) clustering.
71 as built based on coupled nonnegative matrix factorization (C-NMF).
72 osaic integration approaches based on matrix factorization cannot efficiently adapt to nonlinear embe
73  methods (HOPACH, sparse non-negative matrix factorization, cluster 'fitness', support vector machine
74 ing characterization and non-negative matrix factorization clustering of signaling profiles.
75 method we call consensus non-negative matrix factorization (cNMF) accurately infers identity and acti
76 h a novel combination of non-negative matrix factorization, compressed sensing and electron tomograph
77 tors were identified through positive matrix factorization coupled to single particle analysis, inclu
78 onality reduction tool, compositional tensor factorization (CTF), that incorporates information from
79                                        These factorizations decompose a dataset of single-trial popul
80                                  Deep matrix factorization (DMF) excels at uncovering subtle patterns
81 se a dual-network integrated logistic matrix factorization (DNILMF) algorithm to predict potential dr
82 putation framework, called Extensible Matrix Factorization (EMF).
83 ing subgraph sampling and nonnegative matrix factorization enables the discovery of these latent moti
84 ions were analyzed using non-negative matrix factorization followed by gene ontology filtering and ne
85         Here we present Probabilistic Matrix Factorization for Gene Regulatory Network Inference (PMF
86 del, GENERALIST: GENERAtive nonLInear tenSor-factorizaTion for protein sequences.
87 ngful, technically robust, and generalizable factorization for psychometric tools.
88 computational limitations of Bayesian matrix factorization for single cell data analysis.
89 d a machine learning technique called tensor factorization for the problem of predicting clinical out
90 e incomplete network captured using a matrix factorization formulation to constrain the set of reacti
91                  Here, we introduce a matrix factorization framework to integrate physical and functi
92 y analyzed in a multiple non-negative matrix factorization framework, and additional network data are
93 ltisite data with cross-validation yielded a factorization generalizable across populations and medic
94 of graph convolution network (GCN) and graph factorization (GF).
95                          Non-Negative Matrix factorization has become an essential tool for feature e
96 e component analysis and non-negative matrix factorization, have the disadvantage that they return di
97 cle, we present a hybrid non-negative matrix factorization (HNMF) method to integrate phenotype and g
98 itions among regions with different regional factorizations, i.e. for the evolution of new types or b
99                          Non-negative matrix factorization identified 3 HFpEF transcriptomic subgroup
100                         The resulting matrix factorization imputes gene abundance for both zero and n
101 a new software framework for parallel matrix factorization in Version 3 of the CoGAPS R/Bioconductor
102                              Positive matrix factorization indicated that although volatilized Aroclo
103                The use of nonnegative matrix factorization indicated that there were five distinct DM
104 cribe online integrative non-negative matrix factorization (iNMF), an algorithm for integrating large
105 orthogonality-regularized nonnegative matrix factorization (iONMF) to integrate multiple data sources
106       In this work, we provide evidence that factorization is a normative principle of biological vis
107                                   The matrix factorization is an important way to analyze coregulatio
108 rithm based on a semi-nonnegative matrix tri-factorization is applied.
109                          Non-negative matrix factorization is distinguished from the other methods by
110                     When non-negative matrix factorization is implemented as a neural network, parts-
111                  Moreover, because no matrix factorization is involved, SAILER can easily scale to pr
112                          Non-negative matrix factorization is one such method and was shown to be adv
113  autoencoders and sparse non-negative matrix factorization is reproducible and can be associated with
114 hine learning technique, non-negative matrix factorization, is applied to analyze the total scatterin
115 =U(i)Sigma(i)V(T), where V, identical in all factorizations, is obtained from the eigensystem SV=VLam
116  alternative method, knowledge-driven matrix factorization (KMF) framework, to reconstruct phenotype-
117  introduce Localized semi-Nonnegative Matrix Factorization (LocaNMF), a method that efficiently decom
118          Among surrogate models, 2(nd)-order factorization machine (FM) models are widely employed as
119 orming other state-of-the-art models such as factorization machine and extreme gradient boosting tree
120 r to Mendel-Impute, our matrix co-clustering factorization (MCCF) model is completely new.
121 ey are each characterized by their choice of factorization method (5 options), choice of probability
122 e tool is built using a probabilistic matrix factorization method and DrugBank v3, and the latent var
123 e AMM to derive an affine nonnegative matrix factorization method for estimating fluorophore endmembe
124 ve matrix factorization), an efficient joint factorization method for single-cell multiomics data.
125 igh REsolution), a segmentation-free spatial factorization method that can handle transcriptome-wide
126                          We have developed a factorization method that can overcome this difficulty b
127 ether, and then present a nonnegative matrix factorization method to learn the parameters of the mode
128                  Using this observation, the factorization method uses the singular value decompositi
129      We propose a deep neural network tensor factorization method, Avocado, that compresses this epig
130 tagenomic binning based on AFIT and a matrix factorization method.
131              Here, we present a novel matrix factorization methodology for drug-target interaction pr
132 pose a novel su- pervised nonnegative tensor factorization methodology that derives discriminative an
133                              However, matrix factorization methods are prone to technical artifacts a
134                      However, current matrix factorization methods do not provide clear bicluster str
135 ssification using genomic nonnegative matrix factorization methods identified three distinct genomic
136                         We validated various factorization methods on simulated data and on populatio
137                                     Bayesian factorization methods, including Coordinated Gene Activi
138                              Applying matrix factorization methods, we decompose the drug-disease ass
139 s data via TL of clustering, correlation and factorization methods.
140   In this paper, we have utilized the matrix factorization (MF) as a modality for high dimensionality
141 ionary learning (DL), implemented via matrix factorization (MF), is commonly used in computational bi
142              We develop a constrained matrix factorization model, sn-spMF, to learn patterns of tissu
143 lyadic Decomposition and conventional matrix factorization models by evaluation of detecting spatial
144 ometric curves better than shape from motion factorization models using shape or trajectory basis fun
145 propose a multi-similarities bilinear matrix factorization (MSBMF) method to predict promising drug-a
146  intermediate integrative approaches (matrix factorization, multiple kernel methods, ensemble learnin
147       We have developed a nonnegative matrix factorization (NMF) algorithm to detect and separate spe
148                          Non-negative Matrix Factorization (NMF) algorithms associate gene expression
149 ervised methods, such as non-negative matrix factorization (NMF) and Convex Analysis of Mixtures (CAM
150 elation analysis (sCCA), non-negative matrix factorization (NMF) and logic data mining MicroArray Log
151 sing iterative consensus non-negative matrix factorization (NMF) based clustering.
152  digital filter based on non-negative matrix factorization (NMF) enables blind deconvolution of tempo
153  In this study, we apply non-negative matrix factorization (NMF) for the unsupervised analysis of ToF
154 the data analysis method non-negative matrix factorization (NMF) has been applied to the analysis of
155  pollutant sources using non-negative matrix factorization (NMF) in a moderately polluted urban area.
156 an be de-convolved using non-negative matrix factorization (NMF) into discrete trinucleotide-based mu
157                          Non-negative matrix factorization (NMF) is a technique widely used in variou
158                          Non-negative matrix factorization (NMF) is an increasingly used algorithm fo
159         Here, we propose non-negative matrix factorization (NMF) of fragment length distributions as
160              We then use non-negative matrix factorization (NMF) to approximate these protein family
161 analysis methods, we used nonnegative matrix factorization (NMF) to uncover coordinated patterns of c
162 sing N-grams generation, Non-Negative Matrix Factorization (NMF) topics and sentiment characteristics
163 ration (BSS) techniques: non-negative matrix factorization (NMF) using additional sparse conditioning
164 ction principle known as non-negative matrix factorization (NMF) was previously shown to account for
165 calable implementation of nonnegative matrix factorization (NMF) with a new stability-driven model se
166  describe here the use of nonnegative matrix factorization (NMF), an algorithm based on decomposition
167 omponent analysis (PCA), non-negative matrix factorization (NMF), maximum autocorrelation factor (MAF
168 ing PCA, Kernel PCA, and Non-Negative Matrix Factorization (NMF), were compared to nine selection met
169  transformations, such as nonnegative matrix factorization (NMF).
170  motif analysis based on non-negative matrix factorization (NMF).
171 me sequencing data using non-negative matrix factorization (NMF).
172 rties was established by non-negative matrix factorization (NMF).
173 er reference dataset via Non-negative Matrix Factorization (NMF).
174                   Sparse non-negative matrix factorizations (NMFs) are useful when the degree of spar
175 ulti-view clustering, nonnegative matrix tri-factorization (NMTF) and nonnegative Tucker decompositio
176 ores are computed by Non-negative Matrix Tri-Factorization (NMTF) method that predicts associations b
177         Here, we present nonnegative spatial factorization (NSF), a spatially-aware probabilistic dim
178                                        Prime factorization of 51 and 85 can be demonstrated with only
179 es into subgroups by a joint sparse rank-one factorization of all the data matrices.
180 d of an enthalpic and entropic contribution, factorization of both can unravel the complexity of a fl
181  types have and are thus compatible with the factorization of both types.
182                                  With sparse factorization of data matrices using GPCA, groups of cor
183                                              Factorization of integers up to 945 is demonstrated with
184  can analyze 1000 times more cells, enabling factorization of large single-cell data sets.
185           At the heart of our framework is a factorization of local neighborhood information in the p
186 f the simplest instance of Shor's algorithm: factorization of N = 15 (whose prime factors are 3 and 5
187 The method, based on the multidimensional QR factorization of numerically encoded multiple sequence a
188 nkey ventral visual hierarchy, we found that factorization of object pose and background information
189 ry method based on joint non-negative matrix factorization of spatial RNA transcripts and histologica
190                              Positive matrix factorization of the AMS spectra resolved the organic ae
191                            On the basis of a factorization of the likelihood and the constrained sear
192 gorithms they use by adopting an approximate factorization of the likelihood function they optimize.
193 rning to identify a stable and generalizable factorization of the Positive and Negative Syndrome Scal
194       Moreover, an extended model based on a factorization of the sparse-variable GLM allowed us to d
195 ecture lead to the improved performance: (1) factorization of the STRF matrix into a small number of
196    Here we investigate the utility of tensor factorizations of population spike trains along space an
197                   However, these approximate factorizations of the likelihood function simplify calcu
198 demonstrate that model simplifications (i.e. factorizations of the likelihood function) adopted by ce
199 bilities, and adopting improved, data-driven factorizations of this likelihood, we demonstrate that s
200   Source apportionment using positive matrix factorization on the hourly data revealed four primary P
201  comparison with classic non-negative matrix factorization on the three well-studied datasets.
202 pal components analysis, non-negative matrix factorization or no DR.
203 terfering subspaces of population activity ('factorization') or encoded in an entangled fashion.
204              Inspired by non-negative matrix factorization, our model fully exploits the unique prope
205 ry-2a algorithm (ART-2a) and positive matrix factorization partition a continuum of particle composit
206               Furthermore, a positive matrix factorization (PMF) analysis demonstrated a predominance
207  HPLC-MS/MS analysis and (2) positive matrix factorization (PMF) analysis of aerosol mass spectromete
208 fraction of BB resolved from positive matrix factorization (PMF) analysis of organic mass spectral da
209 MS and the CO2 analyzer, (2) positive matrix factorization (PMF) analysis to separate the gas- and pa
210 rajectory investigations and Positive Matrix Factorization (PMF) analysis, we deduce that Red Sea Dee
211 Baltic Sea were evaluated by positive matrix factorization (PMF) and principal component analysis (PC
212                              Positive matrix factorization (PMF) applied to organic aerosol (OA) data
213                              Positive Matrix Factorization (PMF) applied to the data set revealed a f
214 ce apportionment of PM(2.5), positive matrix factorization (PMF) coupled with a bootstrap technique f
215 rganic compound (SVOC) data, positive matrix factorization (PMF) coupled with a bootstrap technique w
216                              Positive matrix factorization (PMF) has been applied to single particle
217 mass balance (CMB) model and positive matrix factorization (PMF) in order to quantify PBDE sources an
218  AMS data with a constrained positive matrix factorization (PMF) method using the multilinear engine
219        Five sources based on Positive Matrix Factorization (PMF) modeling include industrial emission
220  factor recently resolved by positive matrix factorization (PMF) of aerosol mass spectrometer data co
221  unique factor resolved from positive matrix factorization (PMF) of AMS organic aerosol spectra colle
222  is source-apportioned using positive matrix factorization (PMF) of data collected from aerosol mass
223 ) were incorporated into the positive matrix factorization (PMF) receptor model to form a receptor-or
224 atistical approach, based on positive matrix factorization (PMF) shows that the COA factor was clearl
225  set has been examined using positive matrix factorization (PMF) to apportion PCB sources in the air,
226 ce apportionment tool called Positive Matrix Factorization (PMF) to identify the sources of PCBs to t
227                              Positive matrix factorization (PMF) was applied to identify and apportio
228      Source apportionment by Positive Matrix Factorization (PMF) was carried out to interpret the rea
229                              Positive matrix factorization (PMF) was used for apportioning sources of
230   To investigate this issue, Positive Matrix Factorization (PMF) was used to identify the dominant so
231                              Positive matrix factorization (PMF) was used to resolve PM0.1 source con
232 ce apportionment study using positive matrix factorization (PMF), performed on long-term PM2.5 chemic
233 by the ACSM were analyzed by positive matrix factorization (PMF), yielding three conventional factors
234 source factors resolved from positive matrix factorization (PMF).
235 ater fish were examined with positive matrix factorization (PMF).
236 (CARP) and were analyzed via Positive Matrix Factorization (PMF).
237 hese data were analyzed with Positive Matrix Factorization (PMF).
238 orks using penalized non-negative matrix tri-factorization (PNMTF).
239                       FactVAE integrates the factorization principle into the variational autoencoder
240 teger linear programming solution to the VAF factorization problem in the case of error-free data and
241 e reconstruction of gene network as a matrix factorization problem, we first use the gene expression
242 ations as the variant allele frequency (VAF) factorization problem.
243 it of explicitly enforcing sparseness in the factorization process.
244    Compared to classical non-negative matrix factorization, proposed method: (i) improves color decom
245 we show that our fused regularization matrix factorization provides a novel incorporation of external
246  data preprocessing and normalization, joint factorization, quantile normalization and joint clusteri
247 ticle, a regularized non-negative matrix tri-factorization (R-NMTF) algorithm is introduced to co-clu
248                The problem of finding such a factorization reduces to finding an appropriate represen
249                For instance, Positive Matrix Factorization results are very sensitive to both the fit
250 ion of tissues, and encourages interpretable factorization results.
251       Moreover, C-ZIPTF notably enhances the factorization's consistency.
252 e single-cell Projective Non-negative Matrix Factorization (scPNMF) method to select informative gene
253               We applied non-negative matrix factorization separately to the cortical and muscular da
254  value decomposition and non-negative matrix factorization show that our method provides higher predi
255        We propose a sparse multi-view matrix factorization (sMVMF) algorithm to jointly analyse gene
256 approaches such as sparse nonnegative matrix factorization (sNMF) and EIGENSTRAT have been proposed,
257 cipal component analysis/non-negative matrix factorization step compared with the classifier alone en
258 , termed spike-triggered non-negative matrix factorization (STNMF), can address these issues.
259 residuals using a simple non-negative matrix factorization strategy.
260 notation software package using a novel HMM "factorization" strategy.
261 dent component analysis, non-negative matrix factorization, t-distributed stochastic neighbor embeddi
262                         A nonnegative matrix factorization technique separately decomposed clinical (
263                Here, we adopt a joint matrix factorization technique to address this challenge.
264                              Although matrix factorization techniques have been widely adopted in lin
265 e volume of data, we propose to apply tensor factorization techniques to reduce the data volumes.
266                    Comparisons with existing factorization, techniques, such as singular value decomp
267 h relies on a constrained nonnegative matrix factorization that expresses the spatiotemporal fluoresc
268 nstrate an algorithm for non-negative matrix factorization that is able to learn parts of faces and s
269 have not led to a convincing path to integer factorization that is competitive with the best known cl
270 re a promising, alternative method for prime factorization that uses well-established techniques from
271 ruction with relational inference via tensor factorization to accurately predict disease-gene links.
272 R), that uses integrative nonnegative matrix factorization to address this challenge.
273  prediction task, utilizes collective matrix factorization to compress the data, and chaining to rela
274 o dimensions: it builds on collective matrix factorization to derive different semantics, and it form
275 visualization tool using non-negative matrix factorization to display modality changes.
276 med knots are used in conjunction with prime factorization to encode information.
277 red matrices are constrained by non-negative factorization to ensure that the completed drug-disease
278 nd water were examined using positive matrix factorization to look for evidence that PCBs and PCDD/Fs
279       In parallel, we use nonnegative matrix factorization to predict enhanced gene expression maps o
280 es the multiple alignment, we adapted the QR factorization to produce a minimal basis set of protein
281 , we benchmark and enhance the use of matrix factorization to solve this problem.
282 sults introduce the concept of CX/CUR matrix factorizations to mass spectrometry imaging, describing
283  algorithm, based on the multidimensional QR factorization, to remove redundancy from a multiple stru
284 ionment of urban PM(2.5) via positive matrix factorization uncovers a new source of transported anthr
285 or chemical composition, and Positive Matrix Factorization was used to determine contributions of PM2
286                    Using the notion of local factorizations we develop a theory of character identity
287 ptive shrinkage and semi-non-negative matrix factorization, we designed parallelization strategies fa
288 nlike many popular approaches such as matrix factorization, we do not assume that users in each group
289 ction technique known as non-negative matrix factorization, we found that a variety of medial superio
290                     Using nonnegative matrix factorization, we measured the contribution of each sign
291       Such integration is possible by matrix factorization, where current approaches have an undesire
292 ditive analysis, e.g. by non-negative matrix factorization, where the mutations within a cancer sampl
293 ancement method based on non-negative matrix factorization which incorporates an iteratively updating
294 novel technique based on non-negative matrix factorization which is able to reconstruct lineage defin
295 tasks, traditional techniques such as matrix factorization (which can be seen as a type of graph embe
296 gy of this network, using data-driven matrix factorization, which allowed for partitioning into a set
297  is based on constrained non-negative matrix factorization with a new biologically motivated regulari
298 n curve fitting known as non-negative matrix factorization with alternating least-squares algorithm (
299  them to subgroups using non-negative matrix factorization with k-means clustering.
300                             The classical QR factorization with pivoting, developed as a fast numeric

 
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