Academic literature on the topic 'Occupied subspace'

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Journal articles on the topic "Occupied subspace"

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Pang, Guansong, Kai Ming Ting, David Albrecht, and Huidong Jin. "ZERO++: Harnessing the Power of Zero Appearances to Detect Anomalies in Large-Scale Data Sets." Journal of Artificial Intelligence Research 57 (December 29, 2016): 593–620. http://dx.doi.org/10.1613/jair.5228.

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This paper introduces a new unsupervised anomaly detector called ZERO++ which employs the number of zero appearances in subspaces to detect anomalies in categorical data. It is unique in that it works in regions of subspaces that are not occupied by data; whereas existing methods work in regions occupied by data. ZERO++ examines only a small number of low dimensional subspaces to successfully identify anomalies. Unlike existing frequency-based algorithms, ZERO++ does not involve subspace pattern searching. We show that ZERO++ is better than or comparable with the state-of-the-art anomaly detection methods over a wide range of real-world categorical and numeric data sets; and it is efficient with linear time complexity and constant space complexity which make it a suitable candidate for large-scale data sets.
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Raczkowski, David, C. Y. Fong, and E. B. Stechel. "Localization in an occupied-subspace-optimization approach to electronic structure: application to yttria-stabilized zirconia." Modelling and Simulation in Materials Science and Engineering 12, no. 1 (2003): 133–41. http://dx.doi.org/10.1088/0965-0393/12/1/012.

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Zhang, Chen, Zhen Bin Gao, Jing Chun Li, and Biao Huang. "The Comparison between Chaos Algorithm and Music Algorithm Applied in Weak Signal Detection." Applied Mechanics and Materials 427-429 (September 2013): 1552–56. http://dx.doi.org/10.4028/www.scientific.net/amm.427-429.1552.

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Chaos algorithm is essential in weak signal detection because of its sensibility to weak signals and immunity to noise. This paper applies subspace algorithm which originates from array signal processing to weak signal detection field because of its lower signal to noise ratio. Firstly, the article introduces the principles of two algorithms, then analyses simulation experiments results of real signal data. After that, a conclusion for two algorithms comparison by estimation of computation cost, complexity of implementation and hardware resources occupied is drawn. At the end, the writer designs a duffing chaos module which is the core part of chaotic detection with verilog-hdl.
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Rubensson, Emanuel H., Elias Rudberg, and Paweł Sałek. "Rotations of occupied invariant subspaces in self-consistent field calculations." Journal of Mathematical Physics 49, no. 3 (2008): 032103. http://dx.doi.org/10.1063/1.2884588.

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Ramirez, Rafael, Reinhard Nesper, Hans Georg von Schnering та Michael C. Böhm. "The Electronic Structure of Crystalline Li21Si5. A Cluster Approach to a γ-Brass Structure". Zeitschrift für Naturforschung A 41, № 11 (1986): 1267–82. http://dx.doi.org/10.1515/zna-1986-1102.

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The electronic structure of crystalline Li21Si5 is investigated by semiempirical MO (molecular orbital) calculations of the INDO (intermediate neglect of differential overlap) type in the framework of a finite cluster approach. The complex solid-state ensemble with 416 atoms per unit cell is divided into 16 cluster units M26 that form the three-dimensional structure. These M26 clusters have two different chemical compositions and act as formal donor and acceptor fragments, namely D = (Li20Si6) and A = (Li22Si4), having the formal net charges q(D ) = - 4 and q(A) = + 4. The electronic structures of these finite building units are rationalized by the semiempirical MO model. The one-electron energies of (Li20Si6)4- and (Li22Si4)4+ are derived on the basis of fragment interactions between the site sets (tetrahedral, octahedral, cube-octahedral) that build up the different M26 units. The canonical MO’s are transformed by means of the Edmiston-Ruedenberg localization procedure in order to come to a clear representation of the chemical bond in the two clusters. In (Li20Si6)4- a coincidence of the classical valence rules and the existence of nonclassical many-center bonds is found. (Li22Si4)4+ on the other side violates the counting schemes because of an excess of 2 electrons (electron octets at Si). The model calculations show however that the octet rule is strictly fulfilled in the Si subspace. The Li centers allow for the formation of an additional bonding cage orbital due to in-phase interactions between the Li 2s AO’s. This MO is occupied by the two excess electrons which are left after filling the valence orbitals associated to Si. The formation of such a one-electron level is not considered in classical models. The Li-Si interaction in Li21Si5 is of covalent nature and is comparable to the metal-nonmetal bonds in other lithium silicides. The Li-Li contacts are nonbonding in the framework of the Hartree-Fock approximation. The observed solid-state structure of the binary phase can be explained by intercluster interactions between the different donor and acceptor fragments.
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Demirli, Ramazan, Moeness G. Amin, Xizhong Shen, and Yimin D. Zhang. "Ultrasonic Flaw Detection and Imaging through Reverberant Layers via Subspace Analysis and Projection." Advances in Acoustics and Vibration 2012 (July 18, 2012): 1–10. http://dx.doi.org/10.1155/2012/957379.

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Ultrasonic flaw detection and imaging through reverberant layers are challenging problems owing to the layer-induced reverberations and front surface reflections. These undesired signals present a strong clutter and mask the flaw echoes. In this paper, a subspace-based approach is developed for removing, or significantly reducing, the unwanted reverberations, enabling proper flaw detection and imaging. The technique utilizes a set of independent clutter-only reference measurements of the material through the layer. If these measurements are not available, array measurements of the material with flaws are used instead. The clutter, due to its high strength relative to the flaw reflections, forms a subspace spanned by the eigenvectors corresponding to the dominant eigenvalues of the data covariance matrix. The clutter subspace is estimated and removed using orthogonal subspace projection. The clutter usually occupies multidimension subspace that is dependent on the level of coupling, material inhomogeneity, surface roughness, and the sampling rate of the measurements. When the clutter-only reference is not available, information theoretic techniques are used to estimate the dimension of the clutter subspace so that clutter signals are sufficiently suppressed without distorting the flaw signals. The effectiveness of the proposed approach is demonstrated using simulations and real measurement results.
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Solass, Wiebke, Florian Struller, Philipp Horvath, Alfred Königsrainer, Bence Sipos, and Frank-Jürgen Weinreich. "Morphology of the peritoneal cavity and pathophysiological consequences." Pleura and Peritoneum 1, no. 4 (2016): 193–201. http://dx.doi.org/10.1515/pp-2016-0023.

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AbstractThe peritoneal cavity (cavum peritonei) is incompletely divided into spaces and recessus (or fossae), which are playing an important role in health and disease. Peritoneal subspaces are determined by the parietal attachments of the abdominal organs, the ligaments and mesenteries. These include the splenorenal, the falciform, the triangular, the gastrosplenic, the phrenicocolic and the gastrocolic ligaments; the greater omentum and the lesser omentum (formed by the gastrohepatic and hepatoduodenal ligaments); the small bowel mesenterium and the mesocolon. These ligaments and mesenteries divide the peritoneal cavity into several distinct anatomic and functional regions. The supramesocolic compartment is divided into a bilateral subphrenic space and a subhepatic space continuing into the lesser sac (bursa omentalis). The inframesolic compartment is divided into a left and right region by the mesentery. The right paracolic gutter communicates with the pelvis and with the right suphrenic space. The left paracolic gutter is separated from the left subphrenic space by the phrenocolic ligament. The peritoneal space is virtual, is completely occupied by the intraabdominal organs and can only be visualized by radiological means in the presence of air (organ perforation), liquid (ascites, pus, bile, gastrointestinal fluids) or tumor invasion. Peritoneal morphology has numerous pathophysiological implications: it impacts on the propagation of intraabdominal infections, determines the spreading of peritoneal metastasis and can cause bowel volvulus. Internal hernias can arise at the junction between intraperitoneal and extraperitoneal bowel segments, in particular into the left paraduodenal recessus. Knowledge of peritoneal morphology is a precondition for developing locoregional therapeutic strategies in peritoneal disease and for effective peritoneal dialysis.
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Dahmen, Wolfgang. "Wavelet and multiscale methods for operator equations." Acta Numerica 6 (January 1997): 55–228. http://dx.doi.org/10.1017/s0962492900002713.

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More than anything else, the increase of computing power seems to stimulate the greed for tackling ever larger problems involving large-scale numerical simulation. As a consequence, the need for understanding something like the intrinsic complexity of a problem occupies a more and more pivotal position. Moreover, computability often only becomes feasible if an algorithm can be found that is asymptotically optimal. This means that storage and the number of floating point operations needed to resolve the problem with desired accuracy remain proportional to the problem size when the resolution of the discretization is refined. A significant reduction of complexity is indeed often possible, when the underlying problem admits a continuous model in terms of differential or integral equations. The physical phenomena behind such a model usually exhibit characteristic features over a wide range of scales. Accordingly, the most successful numerical schemes exploit in one way or another the interaction of different scales of discretization. A very prominent representative is the multigrid methodology; see, for instance, Hackbusch (1985) and Bramble (1993). In a way it has caused a breakthrough in numerical analysis since, in an important range of cases, it does indeed provide asymptotically optimal schemes. For closely related multilevel techniques and a unified treatment of several variants, such as multiplicative or additive subspace correction methods, see Bramble, Pasciak and Xu (1990), Oswald (1994), Xu (1992), and Yserentant (1993). Although there remain many unresolved problems, multigrid or multilevel schemes in the classical framework of finite difference and finite element discretizations exhibit by now a comparatively clear profile. They are particularly powerful for elliptic and parabolic problems.
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Ames, Katherine Cora, and Mark M. Churchland. "Motor cortex signals for each arm are mixed across hemispheres and neurons yet partitioned within the population response." eLife 8 (October 9, 2019). http://dx.doi.org/10.7554/elife.46159.

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Motor cortex (M1) has lateralized outputs, yet neurons can be active during movements of either arm. What is the nature and role of activity across the two hemispheres? We recorded muscles and neurons bilaterally while monkeys cycled with each arm. Most neurons were active during movement of either arm. Responses were strongly arm-dependent, raising two possibilities. First, population-level signals might differ depending on the arm used. Second, the same population-level signals might be present, but distributed differently across neurons. The data supported this second hypothesis. Muscle activity was accurately predicted by activity in either the ipsilateral or contralateral hemisphere. More generally, we failed to find signals unique to the contralateral hemisphere. Yet if signals are shared across hemispheres, how do they avoid impacting the wrong arm? We found that activity related to each arm occupies a distinct subspace, enabling muscle-activity decoders to naturally ignore signals related to the other arm.
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Azcona, P. Martínez, and C. A. Downing. "Doublons, topology and interactions in a one-dimensional lattice." Scientific Reports 11, no. 1 (2021). http://dx.doi.org/10.1038/s41598-021-91778-z.

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AbstractWe investigate theoretically the Bose–Hubbard version of the celebrated Su-Schrieffer-Heeger topological model, which essentially describes a one-dimensional dimerized array of coupled oscillators with on-site interactions. We study the physics arising from the whole gamut of possible dimerizations of the chain, including both the weakly and the strongly dimerized limiting cases. Focusing on two-excitation subspace, we systematically uncover and characterize the different types of states which may emerge due to the competition between the inter-oscillator couplings, the intrinsic topology of the lattice, and the strength of the on-site interactions. In particular, we discuss the formation of scattering bands full of extended states, bound bands full of two-particle pairs (including so-called ‘doublons’, when the pair occupies the same lattice site), and different flavors of topological edge states. The features we describe may be realized in a plethora of systems, including nanoscale architectures such as photonic cavities, optical lattices and qubits, and provide perspectives for topological two-particle and many-body physics.
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Dissertations / Theses on the topic "Occupied subspace"

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Rubensson, Emanuel H. "Matrix Algebra for Quantum Chemistry." Doctoral thesis, Stockholm : Bioteknologi, Kungliga Tekniska högskolan, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-9447.

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