Academic literature on the topic 'Tensor modes'

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Journal articles on the topic "Tensor modes"

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Adawi, Tom, Martin Cederwall, Ulf Gran, Bengt E. W. Nilsson, and Behrooz Razaznejad. "Goldstone tensor modes." Journal of High Energy Physics 1999, no. 02 (February 1, 1999): 001. http://dx.doi.org/10.1088/1126-6708/1999/02/001.

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SASAKURA, NAOKI. "THE LOWEST MODES AROUND GAUSSIAN SOLUTIONS OF TENSOR MODELS AND THE GENERAL RELATIVITY." International Journal of Modern Physics A 23, no. 24 (September 30, 2008): 3863–90. http://dx.doi.org/10.1142/s0217751x0804130x.

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In the paper arXiv:0706.1618[hep-th], the number distribution of the low-lying spectra around Gaussian solutions representing various dimensional fuzzy tori of a tensor model was numerically shown to be in accordance with the general relativity on tori. In this paper, I perform more detailed numerical analysis of the properties of the modes for two-dimensional fuzzy tori, and obtain conclusive evidences for the agreement. Under a proposed correspondence between the rank-3 tensor in tensor models and the metric tensor in the general relativity, conclusive agreement is obtained between the profiles of the low-lying modes in a tensor model and the metric modes transverse to the general coordinate transformation. Moreover, the low-lying modes are shown to be well on a massless trajectory with quartic momentum dependence in the tensor model. This is in agreement with that the lowest momentum dependence of metric fluctuations in the general relativity will come from the R2-term, since the R-term is topological in two dimensions. These evidences support the idea that the low-lying low-momentum dynamics around the Gaussian solutions of tensor models is described by the general relativity. I also propose a renormalization procedure for tensor models. A classical application of the procedure makes the patterns of the low-lying spectra drastically clearer, and suggests also the existence of massive trajectories.
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Van Eeghem, Frederik, Otto Debals, and Lieven De Lathauwer. "Tensor Similarity in Two Modes." IEEE Transactions on Signal Processing 66, no. 5 (March 1, 2018): 1273–85. http://dx.doi.org/10.1109/tsp.2017.2786208.

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Sorbo, Lorenzo. "Odd tensor modes from inflation." Modern Physics Letters A 31, no. 21 (July 10, 2016): 1640010. http://dx.doi.org/10.1142/s0217732316400101.

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The existence of a primordial spectrum of gravitational waves is a generic prediction of inflation. Here, I will discuss under what conditions the coupling of a pseudoscalar inflaton to a U(1) gauge field can induce, in a two-step process, gravitational waves with unusual properties such as: (i) a net chirality, (ii) a blue spectrum, (iii) large non-Gaussianities even if the scalar perturbations are approximately Gaussian and (iv) being detectable in the (relatively) near future by ground-based gravitational interferometers.
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Baumann, Daniel, and Matias Zaldarriaga. "Causality and primordial tensor modes." Journal of Cosmology and Astroparticle Physics 2009, no. 06 (June 9, 2009): 013. http://dx.doi.org/10.1088/1475-7516/2009/06/013.

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Wimalawarne, Kishan, Makoto Yamada, and Hiroshi Mamitsuka. "Scaled Coupled Norms and Coupled Higher-Order Tensor Completion." Neural Computation 32, no. 2 (February 2020): 447–84. http://dx.doi.org/10.1162/neco_a_01254.

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Recently, a set of tensor norms known as coupled norms has been proposed as a convex solution to coupled tensor completion. Coupled norms have been designed by combining low-rank inducing tensor norms with the matrix trace norm. Though coupled norms have shown good performances, they have two major limitations: they do not have a method to control the regularization of coupled modes and uncoupled modes, and they are not optimal for couplings among higher-order tensors. In this letter, we propose a method that scales the regularization of coupled components against uncoupled components to properly induce the low-rankness on the coupled mode. We also propose coupled norms for higher-order tensors by combining the square norm to coupled norms. Using the excess risk-bound analysis, we demonstrate that our proposed methods lead to lower risk bounds compared to existing coupled norms. We demonstrate the robustness of our methods through simulation and real-data experiments.
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Nomura, Yasunori, and Masahito Yamazaki. "Tensor modes in pure natural inflation." Physics Letters B 780 (May 2018): 106–10. http://dx.doi.org/10.1016/j.physletb.2018.02.071.

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Powell, Brian A. "Tensor tilt from primordial B modes." Monthly Notices of the Royal Astronomical Society 419, no. 1 (October 13, 2011): 566–72. http://dx.doi.org/10.1111/j.1365-2966.2011.19734.x.

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Efstathiou, George, and Sirichai Chongchitnan. "The Search for Primordial Tensor Modes." Progress of Theoretical Physics Supplement 163 (2006): 204–19. http://dx.doi.org/10.1143/ptps.163.204.

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Fujita, Tomohiro, Ippei Obata, Takahiro Tanaka, and Shuichiro Yokoyama. "Statistically anisotropic tensor modes from inflation." Journal of Cosmology and Astroparticle Physics 2018, no. 07 (July 12, 2018): 023. http://dx.doi.org/10.1088/1475-7516/2018/07/023.

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Dissertations / Theses on the topic "Tensor modes"

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De, Martino Danilo. "String inflationary models with non-monotonic slow-roll and detectable tensor modes." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/8391/.

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The first chapter of this work has the aim to provide a brief overview of the history of our Universe, in the context of string theory and considering inflation as its possible application to cosmological problems. We then discuss type IIB string compactifications, introducing the study of the inflaton, a scalar field candidated to describe the inflation theory. The Large Volume Scenario (LVS) is studied in the second chapter paying particular attention to the stabilisation of the Kähler moduli which are four-dimensional gravitationally coupled scalar fields which parameterise the size of the extra dimensions. Moduli stabilisation is the process through which these particles acquire a mass and can become promising inflaton candidates. The third chapter is devoted to the study of Fibre Inflation which is an interesting inflationary model derived within the context of LVS compactifications. The fourth chapter tries to extend the zone of slow-roll of the scalar potential by taking larger values of the field φ. Everything is done with the purpose of studying in detail deviations of the cosmological observables, which can better reproduce current experimental data. Finally, we present a slight modification of Fibre Inflation based on a different compactification manifold. This new model produces larger tensor modes with a spectral index in good agreement with the date released in February 2015 by the Planck satellite.
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Conigli, Alessandro. "Primordial tensor modes from inflation and their detectability with GW experiments." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18153/.

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L'obbiettivo di questa tesi è lo studio delle fluttuazioni quantistiche dei modi tensoriali primordiali prodotti durante l'inflazione, con particolare attenzione alla possibilità di rilevare tali modi come onde gravitazionali di background. Una eventuale rilevazione confermerebbe ulteriormente la validità dei modelli inflazionari. Tuttavia, la densità di energia predetta per le onde gravitazionali di background è di gran lunga inferiore alla sensibilità degli attuali rivelatori. In questo lavoro noi andiamo oltre l'inflazione slow-roll standard e analizziamo nuovi modelli che ci permettono di amplificare le perturbazioni tensoriali su scale al di fuori dell'orizzonte. Introduciamo un meccanismo che sfrutta una fase transitoria di evoluzione non-attractor per amplificare i modi tensoriali. Procediamo poi con lo studio della fenomenologia del modello, dimostrando la possibilità di amplificare la densità di energia delle onde gravitazionali fino alle scale accessibili dai rivelatori LISA, aLIGO e PTA. Calcoliamo poi il numero di e-folds di fase non-attractor necessari per assicurare la rivelazione di tali onde. Successivamente, presentiamo un nuovo modello di bigravità, caratterizzato da un termine di accoppiamento tra un tensore privo di massa ed uno massivo. Presentiamo un'analisi dettagliata della dinamica dei due campi tensoriali, derivando vincoli che la massa del campo deve soddisfare per poter amplificare le fluttuazioni prive di massa. Infine, assumiamo che l'accoppiamento sia dominante per un certo numero di e-folds durante l'inflazione e diamo una stima di tale valore per i tre rivelatori sopracitati.
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Raghunathan, Srinivasan. "Experimental and theoretical challenges in the search for tensor B-modes." Tesis, Universidad de Chile, 2016. http://repositorio.uchile.cl/handle/2250/138002.

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Doctorado en Ciencias, Mención Astronomía
This thesis describes the work that I performed to analyse the data from the Atacama B-mode Search (ABS) experiment. The ABS experiment observed the Cosmic Microwave Background (CMB) radiation for three years using polarisation sensitive detectors. The telescope is located at the Atacama desert in the north of Chile at an altitude of 5190 metres. The goal of the experiment is to detect the primordial gravitational waves which were supposed to have been generated during the initial phase of exponential expansion of the universe. These gravitational waves leave unique signatures on the polarised CMB called the tensor B-modes. Several experiments have been built over the last decade to observe them but the primordial tensor B-modes still remain undetected. If found, they will be a direct evidence for a process called Cosmic inflation which is responsible for the initial period of exponential expansion. The detection will also provide hints about the physics of inflation as the characterisation of tensor B-modes via the parameter called tensor-to-scalar ratio r is directly related to the energy scale of inflation O(10^16) GeV, comparable to the grand-unification-theory (GUT) energy scales. The ABS experiment was designed and led by the Physics department at Princeton University. The ABS observed the CMB at 145 GHz using polarisation sensitive transition-edge-sensor (TES) bolometers. There are two mirrors, 60 cms each arranged in a compact crossed-Dragone configuration. The ABS was the first ground-based CMB experiment to successfully implement the rapid polarisation modulation using a continuously rotating (warm) half-wave-plate (HWP). In this article, I present the observation strategy, data acquisition, instrument calibration, and the data selection techniques used to produce the CMB maps and power spectrum estimation. For completeness, I also briefly describe the work done by other members of the ABS project but clearly mention my contribution at the start of every chapter. The final power spectrum is not shown as the data selection techniques and the modelling of the galactic foregrounds are still being finalised. However, the results from detailed statistical assessment of the data using an exhaustive suite of null tests indicate that we are not affected by any significant systematic effects. The assessment of the ABS null tests will be the major result of this work. ### en español: Esta tesis describe el trabajo que he realizado para analizar los datos del experimento Atacama B-mode Search (ABS). Utilizando el telescopio de ABS, cuyos detectores son sensible a la polarización, durante un periodo de tres años se observa la radiación en microondas del fonda cósmico (CMB). El telescopio esta instalado en el desierto de Atacama, en el norte de Chile, a una altura de 5190 metros. El objetivo del experimento es detectar las ondas gravitationales primordiales supuestamente generadas durante la fase inicial de expansión exponencial del universo. Estas ondas gravitacionales dejan registros únicas en polarizacion del CMB llamados tensor B-modes. Durante la ultima decada se han realizado varios instrumentos para observar tensor B-modes, pero no se han detectado aun. Si se les detecta, serian una evidencia directa de un proceso llamado inflación cósmica que sera el período inicial de la expansión exponencial. La detección también proporcionará pistas sobre la física de la inflación como la caracterización de tensor B-modes vía el cuociente tensor-a-escalar llamado r, está directamente relacionada con la escala de energía de la inflación O(10^16) GeV, comparable a la gran unificación teoría (GUT) escalas de energía. El experimento ABS fue diseñado y dirigido por el departamento de Física de la Universidad de Princeton. El ABS observo la CMB en la frecuencia de 145 GHz utilizando bolometros sensibles a la polarizacio del tipo transition-edge-sensor (TES). Posee dos espejos, de 60 cms cada uno y dispuestos en una configuracion del tipo compact crossed-Dragone. El ABS fue el primer experimento de medicion de la CMB, situado en la Tierra, en implementar exitosamente la modulacion de polarizacion rápida mediante una placa de media-onda half-wave-plate (HWP) mantenida a temperatura ambiente y girando continuamente. En este reporte, presento la estrategia de observación, adquisición de datos, la calibración del instrumento, y las técnicas de selección de datos utilizados para producir los mapas de la CMB y estimación del Espectro de potencia de la CMB. Por completitud, también describo brevemente el trabajo realizado por otros miembros del proyecto ABS, pero menciono claramente mi contribución al comienzo de cada capítulo. El espectro de potencia final no se ha incluido debido a que tanto las técnicas de selección de datos y el modelado de la absorpcion debida a nuestra galaxia no están aun finalizadas. Sin embargo, los resultados de la evaluación estadística detallada de los datos utilizando un conjunto exhaustivo de pruebas de sesgo nulo (null tests) indican que nuestras medidas no estan afectadas significativamente por efectos sistemáticos. La evaluación de las pruebas de sesgo nulo de las observaciones llevadas a cabo con el telescopio ABS nulos, es el principal resultado de este trabajo. Este resultado posibilita una determinacion robusta del Espectro de Potencia de la CMB.
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Edwards, David Craig. "Theoretical considerations in the use of scalar-tensor theories of gravity in inflationary models." Thesis, University of Edinburgh, 2018. http://hdl.handle.net/1842/31404.

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The inflationary paradigm is one which was designed to answer questions that arose from classical Hot Big Bang cosmology. The period of rapid expansion in the early Universe provides a mechanism to solve the flatness, horizon and relic problems. More importantly, since the theory was first introduced it has been realised that it also provides a mechanism to generate the initial perturbations from which structure in the Universe can grow. In the zoo of potential inflationary models there is a dominant class: slow-roll inflation. The idea that the energy density of the inflationary field is dominated by its potential highly simplifies the calculations required to predict observable quantities. This simplification relies on all the information required to know the subsequent dynamics of the field to be encoded in the space Φ-Φ̇; it must be an effective phase space. I show that Φ-Φ̇ can be considered to be such a space for the most general scalar-tensor theory which gives second-order equations of motion: Horndeski theory. There are theoretical issues associated with this reduction that are illuminated through specific examples in which they occur. A theoretical issue with inflation is that there is an overabundance of models, with some capable of predicting any value of the possible observables. The second block of work in this thesis looks at a particular set of models that make the same observational prediction. These 'attractor' models utilise a non-minimal coupling between the inflationary fields and gravity and are studied in depth, both in the case of one and several fields. Firstly, I examine the Universal Attractors, a single field subset of these models. I show, in detail, the observational prediction such a model makes in the case of a strong non-minimal coupling and then examine the constraints it would be possible to put on such a coupling if a confirmed detection of primordial gravitational waves was made. Despite the discussion existing in the literature there is a small deviation of the Universal Attractor models from the predictions of the Starobinsky model. Furthermore, the coupling, ξ is found to be constrained so that |ξ| < 1 in the case where there a level of detectable primordial tensor modes. While the attractor models have an effective one-field description in reality there are several other fields that are assumed to be fixed during the inflationary phase. This claim requires careful examination as the field-space of the models generally is not flat. This curvature can cause a destabilising effect with certain parameters and so I investigate how susceptible the α-attractors and related models are to the destabilisation. A key result of this chapter is to highlight how important it is to not rely on the slow-roll approximation when assessing the effect of the instability, as the region where the effect begins to become large corresponds with the region where slow-roll begins to break down. Assuming the slow-roll approximation is valid leads to an over-estimation of the effect that the instability mechanism has. Despite this, some of the models considered are seen to experience the instability for certain ranges of model parameters. Making the assumption that any occurrence of the instability will, at the very least, move the observational prediction of the model outside the currently constrained range allows a constraint on the model parameter in question which directly translates to a theoretical lower bound on the tensor-scalar ratio, r > 0.0005.
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Delepouve, Thibault. "Quartic Tensor Models." Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLS085/document.

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Les modèles de tenseurs sont des mesures de probabilité sur des espaces de tenseurs aléatoires. Ils généralisent les modèles de matrices et furent développés pour l’étude de la géométrie aléatoire en dimension arbitraire. De plus, ils sont fortement liés aux théories de gravité quantique car, en plus des modèles standards très simples, ils incluent les théories de champs sur groupes, qui constituent l’approche « intégrale fonctionnelle » de la gravité quantique à boucle. Dans cette thèse, nous étudions le cas restreint des modèles tensoriels quartiques, pour lesquels un plus grand nombre de résultats mathématiques rigoureux ont pu être démontrés. Grâce à la transformation de champ intermédiaire, les modèles quartiques peuvent être ré-écrits sous forme de modèles de matrices multiples, et leurs développements perturbatifs peuvent être indexés par des cartes combinatoires. En utilisant divers développement en cartes, nous démontrons d’importants résultats d’analycité ainsi que des bornes pour les cumulants du modèle tensoriel standard le plus général et de rang arbitraire, ainsi que du plus simple modèle renormalisable de rang 3. Ensuite, nous introduisons une nouvelle famille de modèles, les modèles améliorés, dont le développement perturbatif se comporte de manière nouvelle, différente du comportement « melonique » qui caractérise les modèles tensoriels précédemment étudiés
Tensor models are probability measures for random tensors. They generalise matrix models and were developed to study random geometry in arbitrary dimension. Moreover, they are strongly connected to quantum gravity theories as, additionally to the standard bare-bones models, they encompass the field theoretical approach to loop quantum gravity known as group field theory.In the present thesis, we focus on the restricted case of quartic tensor models, for which a far greater number of rigorous mathematical results have been proven. Quartic models can be re-written as multi-matrix models using the intermediate field representation, and their perturbative expansions can be written as series expansions over combinatorial maps. Using a variety of map expansions, we prove analyticity results and useful bounds for the cumulants of various tensor models : the most general standard quartic model at any rank and the simplest renormalisable tensor field theory at rank 3. Then, we introduce a new class of models, the enhanced models, which perturbative expansions display new behaviour, different to the so called melonic behaviour that characterise most known tensor models so far
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Da, Silva Caroline Dos Santos. "Cosmic strings and scalar tensor gravity." Thesis, Durham University, 1999. http://etheses.dur.ac.uk/4577/.

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This thesis is concerned with the study of cosmic strings. We studied the values for the Higgs mass and string coupling for which the gravitational effect of an infinite cosmic string in the context of the Einstein theory is not only locally but also globally weak. We conclude this happens for strings formed at scales less or equal to the Planck one with Higgs mass being less or equal to the boson vectorial mass. Then we examined the metric of an isolated self-gravitating abelian-Higgs vortex in dilatonic gravity for arbitrary coupling of the vortex fields to the dilaton. We looked for solutions in both massless and massive dilaton gravity. We compared our results to existing metrics for strings in Einstein and .Jordan-Brans-Dicke theories. We explored the generalisation of Bogomolnyi arguments for our vortices and commented on the effects on test particles. We then included the presence of an axion field and examined the metric of an isolated self-gravitating axionic-dilatonic string. Finally we studied dilatonic strings through black hole solutions in string theory. We concluded that the horizon of non-extreme charged black holes supports the long-range fields of the Nielsen-Olesen string that can be considered as black hole hair and whose gravitational effect is in general the production of a conical deficit into the metric of the black hole background. We also concluded that the effect of the dilaton on the horizon of these black holes is to generate an additional charge.
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Hou, Ming. "Tensor-based regression models and applications." Doctoral thesis, Université Laval, 2017. http://hdl.handle.net/20.500.11794/27787.

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Tableau d’honneur de la Faculté des études supérieures et postdoctorales, 2017-2018
Avec l’avancement des technologies modernes, les tenseurs d’ordre élevé sont assez répandus et abondent dans un large éventail d’applications telles que la neuroscience informatique, la vision par ordinateur, le traitement du signal et ainsi de suite. La principale raison pour laquelle les méthodes de régression classiques ne parviennent pas à traiter de façon appropriée des tenseurs d’ordre élevé est due au fait que ces données contiennent des informations structurelles multi-voies qui ne peuvent pas être capturées directement par les modèles conventionnels de régression vectorielle ou matricielle. En outre, la très grande dimensionnalité de l’entrée tensorielle produit une énorme quantité de paramètres, ce qui rompt les garanties théoriques des approches de régression classique. De plus, les modèles classiques de régression se sont avérés limités en termes de difficulté d’interprétation, de sensibilité au bruit et d’absence d’unicité. Pour faire face à ces défis, nous étudions une nouvelle classe de modèles de régression, appelés modèles de régression tensor-variable, où les prédicteurs indépendants et (ou) les réponses dépendantes prennent la forme de représentations tensorielles d’ordre élevé. Nous les appliquons également dans de nombreuses applications du monde réel pour vérifier leur efficacité et leur efficacité.
With the advancement of modern technologies, high-order tensors are quite widespread and abound in a broad range of applications such as computational neuroscience, computer vision, signal processing and so on. The primary reason that classical regression methods fail to appropriately handle high-order tensors is due to the fact that those data contain multiway structural information which cannot be directly captured by the conventional vector-based or matrix-based regression models, causing substantial information loss during the regression. Furthermore, the ultrahigh dimensionality of tensorial input produces huge amount of parameters, which breaks the theoretical guarantees of classical regression approaches. Additionally, the classical regression models have also been shown to be limited in terms of difficulty of interpretation, sensitivity to noise and absence of uniqueness. To deal with these challenges, we investigate a novel class of regression models, called tensorvariate regression models, where the independent predictors and (or) dependent responses take the form of high-order tensorial representations. We also apply them in numerous real-world applications to verify their efficiency and effectiveness. Concretely, we first introduce hierarchical Tucker tensor regression, a generalized linear tensor regression model that is able to handle potentially much higher order tensor input. Then, we work on online local Gaussian process for tensor-variate regression, an efficient nonlinear GPbased approach that can process large data sets at constant time in a sequential way. Next, we present a computationally efficient online tensor regression algorithm with general tensorial input and output, called incremental higher-order partial least squares, for the setting of infinite time-dependent tensor streams. Thereafter, we propose a super-fast sequential tensor regression framework for general tensor sequences, namely recursive higher-order partial least squares, which addresses issues of limited storage space and fast processing time allowed by dynamic environments. Finally, we introduce kernel-based multiblock tensor partial least squares, a new generalized nonlinear framework that is capable of predicting a set of tensor blocks by merging a set of tensor blocks from different sources with a boosted predictive power.
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Ingalhalikar, Madhura Aditya Magnotta Vincent A. "Spatial normalization of diffusion models and tensor analysis." Iowa City : University of Iowa, 2009. http://ir.uiowa.edu/etd/299.

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Olness, James M. "The nucleon "tensor charges" and the Skyrme model." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/35421.

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Ingalhalikar, Madhura Aditya. "Spatial normalization of diffusion models and tensor analysis." Diss., University of Iowa, 2009. https://ir.uiowa.edu/etd/299.

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Diffusion tensor imaging provides the ability to study white matter connectivity and integrity noninvasively. The information contained in the diffusion tensors is very complex. Therefore a simple way of dealing with tensors is to compute rotationally invariant scalar quantities. These scalar indices have been used to perform population studies between controls and patients with neurological and psychiatric disorders. Implementing the scalar values may reduce the information contained in the whole tensor. A group analysis using the full tensors may give better estimate of white matter changes that occur in the diseased subjects. For spatial normalization of diffusion tensors, it is necessary to interpolate the tensor representation as well as rotate the diffusion tensors after transformation to keep the tensors consistent with the tissue reorientation. Existing reorientation methods cannot be directly used for higher order diffusion models (e.g. q-ball imaging). A novel technique called gradient rotation is introduced where the rotation is directly applied to the diffusion sensitizing gradients providing a voxel by voxel estimate of the diffusion gradients instead of a volume of by volume estimate. The technique is validated by comparing it with an existing method where the transformation is applied to the resulting diffusion tensors. For better matching of diffusion tensors a novel multichannel registration method is proposed based on a non-parametric diffeomorphic demons algorithm. The channels used for the registration include T1-weighted volume and tensor components. A fractional anisotropy (FA) channel is used for defining the contribution of each channel. Including the anatomical data together with the tensors, allows the registration to accurately match the global brain shape and the underlying white matter architecture simultaneously. Using this multichannel registration framework, 10 healthy controls and 9 patients of schizophrenia were spatially normalized. For the group analysis, the tensors were transformed to log-euclidean space. Linear regression analysis was performed on the transformed tensors. Results show that there is a significant difference in the anisotropy between patients and controls especially in the anterior regions that include genu of the corpus callosum and anterior and superior corona radiata, forceps minor and anterior limb on the internal capsule.
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Books on the topic "Tensor modes"

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Nestor, Cardozo, and Fisher Donald M, eds. Structural geology algorithms: Vectors and tensors. Cambridge: Cambridge University Press, 2011.

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Cheng, Dai-Zhan. Analysis and control of boolean networks: A semi-tensor product approach. London: Springer, 2011.

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Joint Council for Landscape Industries. Grounds maintenance: Model forms of tender and contract documents. [Keighley]: BritishAssociation of Landscape Industries, 1987.

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Joint Council for Landscape Industries. Grounds maintenance: Model form of tender and contract documents. [s.l.]: British Association of Landscape Industries, 1987.

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Zur Entwicklung der Kategorien Tempus und Modus im Indogermanischen. Innsbruck: Institut für Sprachwissenschaft der Universität Innsbruck, 1985.

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Benthem, Johan van. The logic of time: A model-theoretic investigation into the varieties of temporal ontology and temporal discourse. 2nd ed. Dordrecht: Kluwer Academic Publishers, 1991.

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J. F. A. K. van Benthem. The logic of time: A model-theoretic investigation into the varieties of temporal ontology and temporal discourse. 2nd ed. Dordrecht: Kluwer Academic Publishers, 1991.

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Modes of modality: Modality, typology, and universal grammar. Amsterdam: John Benjamins Publishing Company, 2014.

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Maslia, Morris L. Methods and computer program documentation for determining anisotropic transmissivity tensor components of two-dimensional ground-water flow. [Washington]: U.S. G.P.O., 1987.

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Kiyotaki, Nobuhiro. Search for a theory of money. Cambridge, MA: National Bureau of Economic Research, 1990.

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Book chapters on the topic "Tensor modes"

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Gleyzes, Jérôme. "Predictions for Primordial Tensor Modes." In Springer Theses, 71–83. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41210-8_4.

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Korondi, Péter, Csaba Budai, Hideki Hashimoto, and Fumio Harashima. "Tensor Product Model Transformation Based Sliding Mode Design for LPV Systems." In Recent Advances in Sliding Modes: From Control to Intelligent Mechatronics, 277–98. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18290-2_14.

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Wiles, J., G. S. Halford, J. E. M. Stewart, M. S. Humphreys, W. H. Wilson, and J. D. Bain. "Tensor Models." In Artificial Intelligence and Creativity, 145–59. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-017-0793-0_10.

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Šílený, Jan. "Constrained Moment Tensors: Source Models and Case Studies." In Moment Tensor Solutions, 213–31. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77359-9_9.

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Hashiguchi, Koichi. "Corotational Rate Tensor." In Foundations of Elastoplasticity: Subloading Surface Model, 471–87. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-48821-9_16.

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Ran, Shi-Ju, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, and Maciej Lewenstein. "Tensor Network Approaches for Higher-Dimensional Quantum Lattice Models." In Tensor Network Contractions, 87–97. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-34489-4_4.

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Peláez, J. A., J. Henares, M. Hamdache, and C. Sanz de Galdeano. "A Seismogenic Zone Model for Seismic Hazard Studies in Northwestern Africa." In Moment Tensor Solutions, 643–80. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77359-9_29.

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Hashiguchi, Koichi. "Vector and Tensor Analysis." In Foundations of Elastoplasticity: Subloading Surface Model, 1–63. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-48821-9_1.

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Billio, Monica, Roberto Casarin, and Matteo Iacopini. "Bayesian Tensor Regression Models." In Mathematical and Statistical Methods for Actuarial Sciences and Finance, 149–53. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-89824-7_28.

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Turhan, Fatih, Musavver Didem Cambaz, and Jiří Zahradník. "The Significance of Crustal Velocity Model in Moment Tensor Solutions: A Case Study of Yedisu Earthquakes." In Moment Tensor Solutions, 557–72. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77359-9_24.

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Conference papers on the topic "Tensor modes"

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Chen, Longxi, Yipeng Liu, and Ce Zhu. "Robust Tensor Principal Component Analysis in All Modes." In 2018 IEEE International Conference on Multimedia and Expo (ICME). IEEE, 2018. http://dx.doi.org/10.1109/icme.2018.8486550.

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Rana, Santu, Wanquan Liu, Mihai Lazarescu, and Svetha Venkatesh. "Recognising faces in unseen modes: A tensor based approach." In 2008 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2008. http://dx.doi.org/10.1109/cvpr.2008.4587813.

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Hotta, Masashi, Mitsuo Hano, and Ikuo Awai. "Modes in Single-Negative Slab with Tensor Material Parameters." In 2006 European Microwave Conference. IEEE, 2006. http://dx.doi.org/10.1109/eumc.2006.281093.

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Guigot, Corentin, Dominique Leduc, Yann Lecieux, and Cyril Lupi. "Whispering gallery modes for in-situ measurement of strain tensor." In 2019 21st International Conference on Transparent Optical Networks (ICTON). IEEE, 2019. http://dx.doi.org/10.1109/icton.2019.8840236.

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Ding, Xin, Wei Chen, and Ian Wassell. "Nonconvex compressive sensing reconstruction for tensor using structures in modes." In 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2016. http://dx.doi.org/10.1109/icassp.2016.7472560.

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Ichikawa, Kazuhide, Teruaki Suyama, Tomo Takahashi, Masahide Yamaguchi, Hideo Kodama, and Kunihito Ioka. "Non-Gaussianity, Spectral Index and Tensor Modes in Mixed Inflaton and Curvaton Models." In KEK COSMOPHYSICS GROUP INAUGURAL CONFERENCE “ACCELERATORS IN THE UNIVERSE”: Interplay between High Energy Physics and Cosmophysics. AIP, 2008. http://dx.doi.org/10.1063/1.2981533.

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Najafi, Mehrnaz, Lifang He, and Philip S. Yu. "Outlier-Robust Multi-Aspect Streaming Tensor Completion and Factorization." In Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. California: International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/442.

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With the increasing popularity of streaming tensor data such as videos and audios, tensor factorization and completion have attracted much attention recently in this area. Existing work usually assume that streaming tensors only grow in one mode. However, in many real-world scenarios, tensors may grow in multiple modes (or dimensions), i.e., multi-aspect streaming tensors. Standard streaming methods cannot directly handle this type of data elegantly. Moreover, due to inevitable system errors, data may be contaminated by outliers, which cause significant deviations from real data values and make such research particularly challenging. In this paper, we propose a novel method for Outlier-Robust Multi-Aspect Streaming Tensor Completion and Factorization (OR-MSTC), which is a technique capable of dealing with missing values and outliers in multi-aspect streaming tensor data. The key idea is to decompose the tensor structure into an underlying low-rank clean tensor and a structured-sparse error (outlier) tensor, along with a weighting tensor to mask missing data. We also develop an efficient algorithm to solve the non-convex and non-smooth optimization problem of OR-MSTC. Experimental results on various real-world datasets show the superiority of the proposed method over the baselines and its robustness against outliers.
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DONEVA, DANIELA D., STOYTCHO S. YAZADJIEV, KOSTAS D. KOKKOTAS, and IVAN ZH STEFANOV. "A CONNECTION BETWEEN QUASINORMAL MODES AND NONUNIQUENESS OF CHARGED SCALAR-TENSOR BLACK HOLES." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0179.

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Li, Ping, Jiashi Feng, Xiaojie Jin, Luming Zhang, Xianghua Xu, and Shuicheng Yan. "Online Robust Low-Rank Tensor Learning." In Twenty-Sixth International Joint Conference on Artificial Intelligence. California: International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/303.

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The rapid increase of multidimensional data (a.k.a. tensor) like videos brings new challenges for low-rank data modeling approaches such as dynamic data size, complex high-order relations, and multiplicity of low-rank structures. Resolving these challenges require a new tensor analysis method that can perform tensor data analysis online, which however is still absent. In this paper, we propose an Online Robust Low-rank Tensor Modeling (ORLTM) approach to address these challenges. ORLTM dynamically explores the high-order correlations across all tensor modes for low-rank structure modeling. To analyze mixture data from multiple subspaces, ORLTM introduces a new dictionary learning component. ORLTM processes data streamingly and thus requires quite low memory cost that is independent of data size. This makes ORLTM quite suitable for processing large-scale tensor data. Empirical studies have validated the effectiveness of the proposed method on both synthetic data and one practical task, i.e., video background subtraction. In addition, we provide theoretical analysis regarding computational complexity and memory cost, demonstrating the efficiency of ORLTM rigorously.
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Hotta, M., R. Ogawa, W. Murai, and M. Hano. "Modal analysis for TE volume modes in finite-thickness slab with partly negative permeability tensor component." In 2008 Asia Pacific Microwave Conference. IEEE, 2008. http://dx.doi.org/10.1109/apmc.2008.4958691.

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Reports on the topic "Tensor modes"

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Ulitsky, M. A Tensor Hyperviscosity Model in Kull. Office of Scientific and Technical Information (OSTI), June 2005. http://dx.doi.org/10.2172/919233.

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Anandkumar, Anima, Rong Ge, Daniel Hsu, Sham M. Kakade, and Matus Telgarsky. Tensor Decompositions for Learning Latent Variable Models. Fort Belvoir, VA: Defense Technical Information Center, December 2012. http://dx.doi.org/10.21236/ada604494.

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Ibrahim, Khaled Z., Evgeny Epifanovsky, Samuel W. Williams, and Anna I. Krylov. Cross-scale Efficient Tensor Contractions for Coupled Cluster Computations Through Multiple Programming Model Backends. Office of Scientific and Technical Information (OSTI), July 2016. http://dx.doi.org/10.2172/1274416.

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Blaha, Georges. Resolution of a Rank-Deficient Adjustment Model Via an Isomorphic Geometrical Setup with Tensor Structure. Fort Belvoir, VA: Defense Technical Information Center, March 1987. http://dx.doi.org/10.21236/ada184198.

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Knotts, Lester W. Productive Tension in Joint Planning: A Constructivist Model. Fort Belvoir, VA: Defense Technical Information Center, November 2007. http://dx.doi.org/10.21236/ada476666.

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Wheeler, A. A., and G. B. McFadden. On the notion of a *-vector and a stress tensor for a general class of anisotropic diffuse interface models. Gaithersburg, MD: National Institute of Standards and Technology, 1996. http://dx.doi.org/10.6028/nist.ir.5848.

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Poppeliers, Christian, Katherine Anderson Aur, and Leiph Preston. The use of atmospheric prediction models to invert infrasound for linear-equivalent time domain moment tensors: Source Physics Experiment Phase 1. Office of Scientific and Technical Information (OSTI), August 2018. http://dx.doi.org/10.2172/1468382.

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Moore, Keegan J., and Matthew Robert Brake. A Reduced Order Model of Force Displacement Curves for the Failure of Mechanical Bolts in Tension. Office of Scientific and Technical Information (OSTI), December 2015. http://dx.doi.org/10.2172/1234813.

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Matha, D., T. Fischer, M. Kuhn, and J. Jonkman. Model Development and Loads Analysis of a Wind Turbine on a Floating Offshore Tension Leg Platform. Office of Scientific and Technical Information (OSTI), February 2010. http://dx.doi.org/10.2172/972932.

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Huber, Marcia L. Models for viscosity, thermal conductivity, and surface tension of selected pure fluids as implemented in REFPROP v10.0. Gaithersburg, MD: National Institute of Standards and Technology, August 2018. http://dx.doi.org/10.6028/nist.ir.8209.

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