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1 An important tool in information analysis is dimensionality reduction.
2 ew collective coordinates by using nonlinear dimensionality reduction.
3 ons with low-dimensional functions including dimensionality reduction.
4 nection between RNA velocity and statistical dimensionality reduction.
5 chieved behavior-predictive nonlinear neural dimensionality reduction.
6 n spliced and unspliced mRNA at the level of dimensionality reduction.
7 data-driven approach to fulfill the task of dimensionality reduction.
8 ut irrelevant information, a process akin to dimensionality reduction.
9 broadly applicable data-driven algorithm for dimensionality reduction.
10 ategy to quantify gene relevance and improve dimensionality reduction.
11 sian ideal observer method for task-specific dimensionality reduction.
13 ithms for neural networks implicitly perform dimensionality reduction-a process called feature learni
14 SIPI has higher power than MDR (Multifactor Dimensionality Reduction), AA_Full, Geno_Full (full inte
16 rformed Eigenanatomy, a statistically robust dimensionality reduction algorithm, and used leave-one-o
18 f any investigation, we recently developed a dimensionality reduction algorithm, sketch-map, that can
21 ure clustering, selection, normalization and dimensionality reduction algorithms, and five commonly u
22 erages ensemble classification theory within dimensionality reduction, allowing for application to a
26 propose a neural network-based approach for dimensionality reduction and analysis of biological gene
27 ms existing methods including multifactorial dimensionality reduction and Bayesian epistasis associat
28 orithm that combines kernel-based non-linear dimensionality reduction and binary classification (or r
32 Even simple downstream analyses, such as dimensionality reduction and clustering, require days of
34 propose an ensemble method for simultaneous dimensionality reduction and feature gene extraction (ED
35 ation and Projection (UMAP) for unsupervised dimensionality reduction and k-means clustering to segme
38 th data analysis based on diffusion maps for dimensionality reduction and network synthesis from stat
39 niform Manifold Approximation and Projection dimensionality reduction and PhenoGraph clustering revea
41 study, we develop a pipeline that integrates dimensionality reduction and statistical modeling to gra
42 o mathematical approaches to simplification, dimensionality reduction and the maximum entropy method,
43 tein conformational search, efficient robust dimensionality reduction and topological analysis via pe
46 Support Vector Machines (SVM), coupled with dimensionality reduction and variable selection algorith
48 d projection (UMAP) is applied for nonlinear dimensionality reduction and visualization of mass spect
49 ed techniques in unsupervised clustering and dimensionality reduction and, more importantly, support
50 accepted role of PS membranes as providing "dimensionality reduction" and favor a regulatory role fo
53 estimate the model's parameters, DREISS uses dimensionality reduction, and identifies canonical tempo
54 discordance as the effects of localization, dimensionality reduction, and irreversible enzymatic rea
55 risons with the relevance-chain, multifactor dimensionality reduction, and PDT methods, the results f
56 of neural coding, computational methods for dimensionality reduction, and sensory-perceptual perform
57 risons with the relevance-chain, multifactor dimensionality reduction, and the pedigree disequilibriu
58 plicability of our method in an unsupervised dimensionality reduction application by inferring genes
60 ochemical profiles, we apply a bidirectional dimensionality reduction approach taking into account bo
61 ferred using geodesic spectral embeddings, a dimensionality reduction approach that we show to be esp
63 The new methodology is compared to competing dimensionality reduction approaches through a simulation
68 he algorithm to perform joint clustering and dimensionality reduction by efficiently optimizing a con
69 ubject groups using k-means clustering after dimensionality reduction by t-neighbor stochastic neighb
71 e few relevant coordinates emerging from the dimensionality reduction can correctly identify the tran
72 ons for sequence alignment, quality control, dimensionality reduction, cell clustering, data aggregat
74 code covering transformation, normalization, dimensionality reduction, clustering, and pseudotime ana
75 igh-dimensional statistical ideas, including dimensionality reduction, clustering, subsampling, and r
76 eate tree structures, whereas algorithms for dimensionality-reduction create low-dimensional spaces.
79 k has many important implications, including dimensionality reduction, differential diagnosis, and es
80 data, computational techniques often rely on dimensionality reduction (DR) as both a pre-processing s
84 .g., inter-landmark distances), unsupervised dimensionality reductions (e.g., principal component ana
85 ndependent marker sets, extended multifactor-dimensionality reduction (EMDR) analysis was employed to
86 ariate analysis that simultaneously provides dimensionality reduction, feature extraction and multi-c
87 ributions, regularly confront the problem of dimensionality reduction: finding meaningful low-dimensi
89 lying protein interactions and new tools for dimensionality reduction for flexible protein docking.
93 lear, however, how the results obtained from dimensionality reduction generalize to recordings with l
94 approach, namely the generalized multifactor dimensionality reduction (GMDR) method, which can entert
96 researchers who seek to understand the role dimensionality reduction has had and can have in systems
97 riate data raises the fundamental problem of dimensionality reduction: how to discover compact repres
98 of using multiview methods of clustering and dimensionality reduction; however, none of these methods
102 Factor analysis is a widely used method for dimensionality reduction in genome biology, with applica
104 tunately, despite the critical importance of dimensionality reduction in scRNA-seq analysis and the v
105 ere assessed through model-based multifactor dimensionality reduction in the PIAMA study, and gene-ge
115 utational efficiency and easy visualization, dimensionality reduction is necessary to capture gene ex
123 The computationally efficient multifactor dimensionality reduction (MDR) approach has emerged as a
127 , we have previously developed a multifactor dimensionality reduction (MDR) method for collapsing hig
128 his problem, we have developed a multifactor dimensionality reduction (MDR) method for collapsing hig
129 natorial approaches, such as the multifactor dimensionality reduction (MDR) method, have emerged as a
130 natorial approaches, such as the multifactor dimensionality reduction (MDR) method, the combinatorial
131 s, a novel approach based on the multifactor dimensionality reduction (MDR) method, to detect genetic
133 re investigated by entropy-based multifactor dimensionality reduction (MDR), classification and regre
134 CE algorithm was compared to the multifactor dimensionality reduction (MDR), generalized MDR (GMDR),
135 onlinear stochastic embedding (One-SENSE), a dimensionality reduction method based on the t-distribut
138 ut, and uses the state-of-the-art non-linear dimensionality reduction method t-Distributed Stochastic
139 the single-cell graph autoencoder (scGAE), a dimensionality reduction method that preserves topologic
141 We highlight the importance of selecting a dimensionality reduction method to visualize large multi
142 ining an extended self-organizing maps-based dimensionality reduction method with bootstrap-based non
143 ly developed a higher-order statistics based dimensionality reduction method, called quasi-anharmonic
144 onomic count data, and another commonly used dimensionality reduction method, Principal Component Ana
145 Here, we show that combining a nonlinear dimensionality reduction method, t-statistic Stochastic
147 ex biological interactions, yet conventional dimensionality reduction methods (DRMs) often fail to pr
153 e the computational scalability of different dimensionality reduction methods by recording their comp
155 s are inherently complex and existing linear dimensionality reduction methods could be inadequate and
157 in scRNA-seq analysis and the vast number of dimensionality reduction methods developed for scRNA-seq
158 We evaluate the performance of different dimensionality reduction methods for neighborhood preser
159 me this limitation, we introduce model-based dimensionality reduction methods for neurons with non-Po
160 we provide important guidelines for choosing dimensionality reduction methods for scRNA-seq data anal
161 ive evaluation of a variety of commonly used dimensionality reduction methods for scRNA-seq studies.
167 omes project data, we examine how non-linear dimensionality reduction methods such as t-distributed s
170 gorithms (e.g. DeepLabCut) with unsupervised dimensionality reduction methods to produce interpretabl
174 , we use normalized edit distance to enhance dimensionality reduction methods, including Isomap and L
175 ing better than approaches based on standard dimensionality reduction methods, such as principal comp
180 l RNA-seq data are challenging for classical dimensionality-reduction methods because of the prevalen
189 ing (i) variable importance assessment, (ii) dimensionality reduction of big data and (iii) interpret
190 ework that can help to perform the necessary dimensionality reduction of complex interactions between
191 lysis is a widely used tool for unsupervised dimensionality reduction of high-throughput datasets in
192 of visualization and is well-suited for the dimensionality reduction of large (>100 000 pixels) MSI
194 ing techniques that include fast, non-linear dimensionality reduction of oligonucleotide signatures a
195 pathways enable efficient decorrelation and dimensionality reduction of photoreceptor signals while
196 that functional groups of spines defined by dimensionality reduction of receptive field properties e
198 able Model (GPLVM) is a popular approach for dimensionality reduction of single-cell data and has bee
199 We present a novel framework, ivis, for dimensionality reduction of single-cell expression data.
200 osed to accomplish this, neighbourhood-based dimensionality reduction of spectrograms to produce a la
203 ecomes constrained, effectively leading to a dimensionality reduction of the learning problem; at the
208 ly be a byproduct of MSTd neurons performing dimensionality reduction on their inputs; and (3) imply
209 method is deterministic and does not rely on dimensionality reduction or optimization methods, it is
210 ontrast to previous algorithms for nonlinear dimensionality reduction, ours efficiently computes a gl
211 indings can help guide the interpretation of dimensionality reduction outputs in regimes of limited n
212 mponent analysis (PCA) is a popular tool for dimensionality reduction, pattern recognition, and visua
214 el data can be explored through two types of dimensionality reduction plots, t-distributed Stochastic
215 ction, clustering, normalization, selection, dimensionality reduction, predictor construction, best d
216 A sparse decomposition model based on a dimensionality reduction principle known as non-negative
217 been generated during the last two decades, dimensionality reduction problem has been a challenging
218 Here we describe an approach to solving dimensionality reduction problems that uses easily measu
219 al benchmarking on tasks such as single cell dimensionality reduction, protein module discovery and r
223 complementary enhanced-sampling techniques, dimensionality reduction schemes, electronic calculation
224 red the scaling trends of two key outputs of dimensionality reduction-shared dimensionality and perce
226 on of metastable states, along with dramatic dimensionality reduction, significantly simplifies the t
227 Here, we demonstrate the application of high-dimensionality reduction/spatial clustering and histopat
228 t solutions to common problems: the need for dimensionality reduction, strategies for topographic or
230 activity of the sampled neurons via targeted dimensionality reduction (TDR), we found enhanced popula
231 bjective of this work was to develop a novel dimensionality reduction technique as a part of an integ
232 for the RPM algorithm, which is a nonlinear dimensionality reduction technique designed to produce a
236 oy the diffusion map approach as a nonlinear dimensionality reduction technique to extract a dynamica
237 Here we demonstrate the advantages of a new dimensionality reduction technique, demixed principal co
240 classes of procedures, among them classical dimensionality reduction techniques and others incorpora
243 nd on these findings by pursuing more robust dimensionality reduction techniques based on manifold em
246 nt Analysis (PCA) is one of the most popular dimensionality reduction techniques for the analysis of
247 anatomy using F18-fluorodeoxyglucose PET and dimensionality reduction techniques in two cohorts of pa
249 cartography, particle image velocimetry, and dimensionality reduction techniques reveal that these os
253 turing local structure compared with popular dimensionality reduction techniques such as t-SNE and UM
254 Here, we explore the application of various dimensionality reduction techniques that have been used
255 equires the use of the latest clustering and dimensionality reduction techniques to automatically seg
256 scale texture analysis as well as non-linear dimensionality reduction techniques to identify salient
257 close the importance of complementing linear dimensionality reduction techniques with nonlinear ones
258 that (i) VAE and MMD-VAE outperform existing dimensionality reduction techniques, (ii) integrated mul
261 g large-scale neural recordings in mice with dimensionality reduction techniques, we observed that su
262 hen focus on one widely used set of methods, dimensionality reduction techniques, which allow users t
265 -we demonstrate that simple and well-studied dimensionality-reduction techniques such as principal co
267 eature analysis provides a general two-sided dimensionality reduction that reveals encoding in high d
268 haracterizations adequately reflect the true dimensionality reduction that takes place in the nervous
270 ps such as peak alignment, normalization, or dimensionality reduction to be tailored to specific prob
271 using machine learning algorithms to perform dimensionality reduction to capture eigengenome informat
272 d signal processing feature extraction, (ii) dimensionality reduction to differentiate dynamical path
273 classification, unsupervised clustering and dimensionality reduction to learn cancer-relevant data r
274 nformation-theoretic notion of surprisal for dimensionality reduction to promote more meaningful sign
275 re we use a combination of phylogenetics and dimensionality reduction to reevaluate the population st
277 urrent analyses prioritize noise removal and dimensionality reduction to tackle these challenges and
282 ual-algorithm that uses cluster analysis and dimensionality reduction using a cohort of randomly sele
283 , a statistical method for visualization and dimensionality reduction using a tropical polytope with
285 use of deep learning on subsampled nonlinear dimensionality reduction using t-SNE and UMAP to extract
287 g to look at the overall expression dataset, dimensionality reduction using UMAP to find correlations
289 images of 1800 microstructures, followed by dimensionality reduction via principal component analysi
291 riven modelling approach using probabilistic dimensionality reduction, we investigate covariation acr
292 ximation and Projection (UMAP) for nonlinear dimensionality reduction, we reduce the dataset's dimens
293 Different methods of variable selection and dimensionality reduction were used, and different algori
295 vercome these difficulties, we propose DR-A (Dimensionality Reduction with Adversarial variational au
296 ribe ACCENSE, a tool that combines nonlinear dimensionality reduction with density-based partitioning
297 ew method (WaveMAP) that combines non-linear dimensionality reduction with graph clustering to identi