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1 dimensional approaches due to 'the curse of dimensionality'.
2 e number of other variables (high shattering dimensionality).
3 criptor class that typically has the highest dimensionality.
4 r phenotypes in vitro because of their three-dimensionality.
5 nced data, especially in the context of high-dimensionality.
6 the advantages conferred by high shattering dimensionality.
7 lect a biologically appropriate latent space dimensionality.
8 tice: changes in composition, structure, and dimensionality.
9 Principal Component Analysis to reduce data dimensionality.
10 his is at the core of the so called curse of dimensionality.
11 termolecular spin-spin coupling with limited dimensionality.
12 ical, unresolved issue, given graphene's two-dimensionality.
13 lems such as the activity cliff and curse of dimensionality.
14 he Fourier space with greatly reduced design dimensionality.
15 g regarding the importance of the structural dimensionality.
16 d is amenable to problems of extremely large dimensionality.
17 er-by generic hydrodynamic forces-to reduced dimensionality.
18 cause of the very large data volume and high dimensionality.
19 e interplay between crystalline symmetry and dimensionality.
20 thout weight sharing) can avoid the curse of dimensionality.
21 tial discretization that leads to a curse of dimensionality.
22 esearchers fit a single algorithm and latent dimensionality.
23 to obtain new molecules with enhanced three-dimensionality.
24 dentified in models trained with more latent dimensionalities.
25 ained using an intermediate number of latent dimensionalities.
26 component analysis (PCA) to reduce spectral dimensionality (1203 features) and support vector machin
27 e need to understand the nature of the shape dimensionality (1D vs 2D vs 3D) of cell-scaffold interac
28 ng and kidney cancer TCGA datasets with high dimensionality, again showing clinically significant res
29 ist of a mixture of domains having different dimensionality, allowing energy funneling from lower-dim
31 models across a large range of latent space dimensionalities and observe various performance differe
32 r cell-type-discriminative markers to reduce dimensionality and achieve informative cell typing resul
33 le methods including estimation of intrinsic dimensionality and assessment of reconstruction of out-o
34 eoretical guarantees that avoid the curse of dimensionality and by testing them on a variety of proto
35 examine the effect of electrical coupling on dimensionality and chaotic dynamics, we first determined
36 materials, the crystal structure defines the dimensionality and connectivity of interstitial sites, t
38 ures shared by different instances, reducing dimensionality and enabling generalization in novel situ
45 However, inclusion of network data increases dimensionality and poses additional challenges for commo
46 l energy surface of the K2Rb complex in full dimensionality and report numerically-exact quantum-mech
47 d visualization, requiring methods to reduce dimensionality and represent the data in a compact way.
48 number, spacing and affinity, as well as the dimensionality and rigidity of scaffold presentation on
50 consider replicas of the system to tune the dimensionality and take the limit as the number of repli
52 g to which electrical coupling regulates the dimensionality and the complexity in the inferior olive
53 ling the direct relation between the graphs' dimensionality and the rate of propagation of the viral
54 Here, we computed the levels of synchrony, dimensionality, and chaos of the inferior olive code by
56 spatial variation is transient regardless of dimensionality, and that structured initial conditions l
57 l frustration, quantum fluctuations, and low dimensionality are the most often evoked material's char
58 lustrates the wide-ranging potential of high-dimensionality artificial-nose based sensing systems for
60 d theoretical formulation bring to light the dimensionality, as a hidden constraint on carrier dynami
61 , including the role of hydrogen bonding and dimensionality, as well as the optical and magnetic prop
62 rgue that entorhinal grid cells encode a low-dimensionality basis set for the predictive representati
63 us experiments have augmented the real-space dimensionality by one additional physical synthetic dime
64 nal topological insulator phenomena to lower dimensionality by utilizing a pumping parameter (either
66 ng compressed features across algorithms and dimensionalities captures the most pathway-associated re
67 , such as the ribbons of COF-76, into higher dimensionality COFs, paves the way to covalent framework
69 of longitudinal metagenomics data, i.e. high-dimensionality, dependence among samples and zero-inflat
72 equisites for molecular additives to achieve dimensionality engineering, defect passivation, molecula
73 pression models across multiple latent space dimensionalities enhances biological representations.
74 s, with increasing structural complexity and dimensionality, for a measles-like infectious disease.
76 er, whether other perovskites with different dimensionalities have the same effect on efficiency and
77 are required to translate the increased data dimensionality, heterogeneity and complexity into patien
78 nsurate block layer that yields enhanced two-dimensionality, high electronic quality, and clean-limit
79 that is capable of (i) identifying multiple dimensionalities in a dataset, and (ii) providing accura
80 nswers may provide insights into the role of dimensionality in high-temperature superconductivity.
81 One of them is the reduction of effective dimensionality in many systems with orbital degrees of f
83 Our results highlight the role of structure dimensionality in stabilizing the oxygen lattice in reve
86 mmetries via quasiperiodic ordering with low dimensionality into a material system promises the emerg
90 tracting stable phenotypic features, fitting-dimensionality is reduced and reliable prognostic models
91 , we address the fundamental question of how dimensionality is related to connectivity, in both auton
94 ark states, they need to span a space with a dimensionality larger than one, so different orthogonal
98 he nanocluster's size in controlling the NCF dimensionality, modulating the optical properties, and i
99 tures of low-dimensional TMD crystals (e.g., dimensionality, morphology, and phase) will afford acces
100 , 2, 3 ... infinity) and reversibly tune the dimensionality (n) by modulating the strength and number
101 ges inherent in 'omics' data, including high-dimensionality, noise, and timing differences in express
103 sed methods have been proposed to reduce the dimensionality of 1 D 1H NMR datasets, including statist
104 EC materials and the well-proven fractional dimensionality of 2.5 for ferroelectric domain walls.
109 dology allows to dynamically probe the local dimensionality of a transportation network and identify
115 nt a forecasting algorithm that exploits the dimensionality of data in a nonparametric autoregressive
117 nature, the implicit value of increasing the dimensionality of datasets is shown using cell lysates f
118 and the product ions combined with the high dimensionality of DIA data sets hinder accurate feature
122 However, others have stressed that the high dimensionality of human technologies makes them very dif
123 h synchrony and was inversely related to the dimensionality of inferior olive firing dynamics, as mea
124 and behaviour (foraging strategy and spatial dimensionality of interactions) interactively affect fea
125 ounds, that the cerebellum must regulate the dimensionality of its neuronal activity during motor lea
130 e changes in patterns of activity affect the dimensionality of neural responses and information about
131 t opportunity for genetic research, the high dimensionality of omic data and complex relationships am
135 r challenges is to model the temporality and dimensionality of sequential influenza strains and to in
136 teristics over time that can help reduce the dimensionality of SES data by enabling the assignment of
138 ine the power exponent, which represents the dimensionality of surface diffusion, and results to be d
142 properties of Bi(2)O(2)Se while reducing the dimensionality of the bonding network connecting the Bi(
143 mponents analysis was employed to reduce the dimensionality of the data and a grid of neural network
149 correlations grow, due to the relatively low dimensionality of the exploratory variation in compariso
150 An autoencoder is then used to reduce the dimensionality of the feature vector to obtain the optim
153 In addition, by significantly reducing the dimensionality of the marker profile, DeepMicro accelera
154 d comparable to the experimental values when dimensionality of the materials is taken into account an
158 =Ca, Sr, Ba) and Mn(2+) demonstrate that the dimensionality of the obtained material is controlled by
159 e been limited studies investigating how the dimensionality of the physical and electrical microenvir
160 The benefit of our algorithm grows with the dimensionality of the problem and the complexity of the
164 s work opens the possibility to increase the dimensionality of the state-space used for encoding info
166 ncipal component analysis in order to reduce dimensionality of the variability across multiple data g
170 t substantially transforms the structure and dimensionality of TMD crystals without lithography.
172 e the role of carrier diffusion and material dimensionality on the carrier recombination kinetics and
174 skites, however, is characterized by reduced dimensionality perovskites, emphasizing the two-dimensio
177 tiferromagnetic domains and its non-integral dimensionality point to a hitherto-unobserved magnetic f
178 The plethora of benefits owed to reduced dimensionality prompted exploration of expanding non-lay
180 chemical components, crystal structure, and dimensionality, providing a unique set of building block
182 moderately complex, varying key features of dimensionality, reaction type, reaction speed, crowding,
186 ure clustering, selection, normalization and dimensionality reduction algorithms, and five commonly u
189 Even simple downstream analyses, such as dimensionality reduction and clustering, require days of
190 propose an ensemble method for simultaneous dimensionality reduction and feature gene extraction (ED
192 study, we develop a pipeline that integrates dimensionality reduction and statistical modeling to gra
193 tein conformational search, efficient robust dimensionality reduction and topological analysis via pe
194 Support Vector Machines (SVM), coupled with dimensionality reduction and variable selection algorith
195 d projection (UMAP) is applied for nonlinear dimensionality reduction and visualization of mass spect
196 ochemical profiles, we apply a bidirectional dimensionality reduction approach taking into account bo
197 The new methodology is compared to competing dimensionality reduction approaches through a simulation
198 ubject groups using k-means clustering after dimensionality reduction by t-neighbor stochastic neighb
201 tunately, despite the critical importance of dimensionality reduction in scRNA-seq analysis and the v
205 utational efficiency and easy visualization, dimensionality reduction is necessary to capture gene ex
209 ut, and uses the state-of-the-art non-linear dimensionality reduction method t-Distributed Stochastic
210 onomic count data, and another commonly used dimensionality reduction method, Principal Component Ana
213 e the computational scalability of different dimensionality reduction methods by recording their comp
215 in scRNA-seq analysis and the vast number of dimensionality reduction methods developed for scRNA-seq
216 We evaluate the performance of different dimensionality reduction methods for neighborhood preser
217 we provide important guidelines for choosing dimensionality reduction methods for scRNA-seq data anal
218 ive evaluation of a variety of commonly used dimensionality reduction methods for scRNA-seq studies.
222 omes project data, we examine how non-linear dimensionality reduction methods such as t-distributed s
225 , we use normalized edit distance to enhance dimensionality reduction methods, including Isomap and L
230 of visualization and is well-suited for the dimensionality reduction of large (>100 000 pixels) MSI
231 pathways enable efficient decorrelation and dimensionality reduction of photoreceptor signals while
232 that functional groups of spines defined by dimensionality reduction of receptive field properties e
234 able Model (GPLVM) is a popular approach for dimensionality reduction of single-cell data and has bee
235 We present a novel framework, ivis, for dimensionality reduction of single-cell expression data.
239 for the RPM algorithm, which is a nonlinear dimensionality reduction technique designed to produce a
242 classes of procedures, among them classical dimensionality reduction techniques and others incorpora
243 cartography, particle image velocimetry, and dimensionality reduction techniques reveal that these os
244 Here, we explore the application of various dimensionality reduction techniques that have been used
246 using machine learning algorithms to perform dimensionality reduction to capture eigengenome informat
247 d signal processing feature extraction, (ii) dimensionality reduction to differentiate dynamical path
248 classification, unsupervised clustering and dimensionality reduction to learn cancer-relevant data r
251 , a statistical method for visualization and dimensionality reduction using a tropical polytope with
253 images of 1800 microstructures, followed by dimensionality reduction via principal component analysi
254 vercome these difficulties, we propose DR-A (Dimensionality Reduction with Adversarial variational au
256 SIPI has higher power than MDR (Multifactor Dimensionality Reduction), AA_Full, Geno_Full (full inte
258 discordance as the effects of localization, dimensionality reduction, and irreversible enzymatic rea
259 of neural coding, computational methods for dimensionality reduction, and sensory-perceptual perform
260 code covering transformation, normalization, dimensionality reduction, clustering, and pseudotime ana
261 igh-dimensional statistical ideas, including dimensionality reduction, clustering, subsampling, and r
262 ariate analysis that simultaneously provides dimensionality reduction, feature extraction and multi-c
263 ction, clustering, normalization, selection, dimensionality reduction, predictor construction, best d
265 riven modelling approach using probabilistic dimensionality reduction, we investigate covariation acr
271 of using multiview methods of clustering and dimensionality reduction; however, none of these methods
273 on was accompanied by an overall increase in dimensionality (reflecting less information redundancy)
274 distinction in carrier dynamics in different dimensionality regimes informs new design rules for opti
278 precursors offer a unique combination of low dimensionality, structural rigidity, and distinct interi
279 y which the brain may untangle the 'curse of dimensionality': synchronization of confidence represent
281 magnetic atoms unravels a hidden transverse dimensionality that can be exploited to engineer energy
282 played by ion channel function and the lower dimensionality that captures physiological function.
283 Secondary outcomes included examination dimensionality (that is, the number of factors measured)
284 ntext of cell signaling, we show that system dimensionality - the shape of the extracellular medium a
286 al population analyses often reduce the data dimensionality to focus on relevant activity patterns.
287 Model data were fit to assess questionnaire dimensionality, to estimate item information, and to sco
288 um wavefunctions and various factors such as dimensionality, topology, Coulomb interactions and symme
289 into some important topics, including trait dimensionality, trait spectra (including the leaf econom
290 ld indicate a quantum cutting due to the low dimensionality.Understanding the confinement and transpo
292 profiles can suffer from the problem of high-dimensionality, where making useful inferences can be di
293 Metasurfaces are metamaterials of reduced dimensionality which have opened up new avenues for flat
294 are best captured in models trained at lower dimensionalities, while more subtle signals such as path
295 techniques to handle data sparsity and high dimensionality, while evaluating potential biomarkers in
297 imaging microscopy spectra of unprecedented dimensionality will catalyze advances in systems biology