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Journal articles on the topic 'Sparse BLAS'

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Author: Grafiati

Published: 6 September 2023

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1

Buluç, Aydın, and John R. Gilbert. "The Combinatorial BLAS: design, implementation, and applications." International Journal of High Performance Computing Applications 25, no. 4 (May 19, 2011): 496–509. http://dx.doi.org/10.1177/1094342011403516.

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This paper presents a scalable high-performance software library to be used for graph analysis and data mining. Large combinatorial graphs appear in many applications of high-performance computing, including computational biology, informatics, analytics, web search, dynamical systems, and sparse matrix methods. Graph computations are difficult to parallelize using traditional approaches due to their irregular nature and low operational intensity. Many graph computations, however, contain sufficient coarse-grained parallelism for thousands of processors, which can be uncovered by using the right primitives. We describe the parallel Combinatorial BLAS, which consists of a small but powerful set of linear algebra primitives specifically targeting graph and data mining applications. We provide an extensible library interface and some guiding principles for future development. The library is evaluated using two important graph algorithms, in terms of both performance and ease-of-use. The scalability and raw performance of the example applications, using the Combinatorial BLAS, are unprecedented on distributed memory clusters.

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2

Huang, Zichun, and Shimin Chen. "Density-optimized intersection-free mapping and matrix multiplication for join-project operations." Proceedings of the VLDB Endowment 15, no. 10 (June 2022): 2244–56. http://dx.doi.org/10.14778/3547305.3547326.

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A Join-Project operation is a join operation followed by a duplicate eliminating projection operation. It is used in a large variety of applications, including entity matching, set analytics, and graph analytics. Previous work proposes a hybrid design that exploits the classical solution (i.e., join and deduplication), and MM (matrix multiplication) to process the sparse and the dense portions of the input data, respectively. However, we observe three problems in the state-of-the-art solution: 1) The outputs of the sparse and dense portions overlap, requiring an extra deduplication step; 2) Its table-to-matrix transformation makes an over-simplified assumption of the attribute values; and 3) There is a mismatch between the employed MM in BLAS packages and the characteristics of the Join-Project operation. In this paper, we propose DIM 3 , an optimized algorithm for the Join-Project operation. To address 1), we propose an intersection-free partition method to completely remove the final deduplication step. For 2), we develop an optimized design for mapping attribute values to natural numbers. For 3), we propose DenseEC and SparseBMM algorithms to exploit the structure of Join-Project for better efficiency. Moreover, we extend DIM 3 to consider partial result caching and support Join- op queries, including Join-Aggregate and MJP (Multi-way Joins with Projection). Experimental results using both real-world and synthetic data sets show that DIM 3 outperforms previous Join-Project solutions by a factor of 2.3X-18X. Compared to RDBMSs, DIM 3 achieves orders of magnitude speedups.

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3

McWhirter, Paul Ross, Marco C. Lam, and Iain A. Steele. "Confirmation of monoperiodicity above 20 s for two blue large-amplitude pulsators." Monthly Notices of the Royal Astronomical Society 496, no. 2 (June 6, 2020): 1105–14. http://dx.doi.org/10.1093/mnras/staa1560.

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ABSTRACT Blue large-amplitude pulsators (BLAPs) are a new class of pulsating variable stars. They are located close to the hot subdwarf branch in the Hertzsprung–Russell diagram and have spectral classes of late O or early B. Stellar evolution models indicate that these stars are likely radially pulsating, driven by iron group opacity in their interiors. A number of variable stars with a similar driving mechanism exist near the hot subdwarf branch with multiperiodic oscillations caused by either pressure (p) or gravity (g) modes. No multiperiodic signals were detected in the OGLE (Optical Gravitational Lensing Experiment) discovery light curves since it would be difficult to detect short-period signals associated with higher order p modes with the OGLE cadence. Using the RISE instrument on the Liverpool Telescope, we produced high-cadence light curves of two BLAPs, OGLE-BLAP-009 (mv = 15.65 mag) and OGLE-BLAP-014 (mv = 16.79 mag), using a 720 nm longpass filter. Frequency analysis of these light curves identifies a primary oscillation with a period of 31.935 ± 0.0098 min and an amplitude from a Fourier series fit of 0.236 mag for BLAP-009. The analysis of BLAP-014 identifies a period of 33.625 ± 0.0214 min and an amplitude of 0.225 mag. Analysis of the residual light curves reveals no additional short-period variability down to an amplitude of 15.20 ± 0.26 mmag for BLAP-009 and 58.60 ± 3.44 mmag for BLAP-014 for minimum periods of 20 and 60 s, respectively. These results further confirm that the BLAPs are monoperiodic.

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4

Cobeli, Cristian, and Alexandru Zaharescu. "Distribution of a Sparse Set of Fractions Modulo q." Bulletin of the London Mathematical Society 33, no. 2 (March 2001): 138–48. http://dx.doi.org/10.1112/blms/33.2.138.

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5

Gully-Santiago, Michael, and Caroline V. Morley. "An Interpretable Machine-learning Framework for Modeling High-resolution Spectroscopic Data*." Astrophysical Journal 941, no. 2 (December 1, 2022): 200. http://dx.doi.org/10.3847/1538-4357/aca0a2.

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Abstract Comparison of échelle spectra to synthetic models has become a computational statistics challenge, with over 10,000 individual spectral lines affecting a typical cool star échelle spectrum. Telluric artifacts, imperfect line lists, inexact continuum placement, and inflexible models frustrate the scientific promise of these information-rich data sets. Here we debut an interpretable machine-learning framework blasé that addresses these and other challenges. The semiempirical approach can be viewed as “transfer learning”—first pretraining models on noise-free precomputed synthetic spectral models, then learning the corrections to line depths and widths from whole-spectrum fitting to an observed spectrum. The auto-differentiable model employs back-propagation, the fundamental algorithm empowering modern deep learning and neural networks. Here, however, the 40,000+ parameters symbolize physically interpretable line profile properties such as amplitude, width, location, and shape, plus radial velocity and rotational broadening. This hybrid data-/model-driven framework allows joint modeling of stellar and telluric lines simultaneously, a potentially transformative step forward for mitigating the deleterious telluric contamination in the near-infrared. The blasé approach acts as both a deconvolution tool and semiempirical model. The general-purpose scaffolding may be extensible to many scientific applications, including precision radial velocities, Doppler imaging, chemical abundances for Galactic archeology, line veiling, magnetic fields, and remote sensing. Its sparse-matrix architecture and GPU acceleration make blasé fast. The open-source PyTorch-based code blase includes tutorials, Application Programming Interface documentation, and more. We show how the tool fits into the existing Python spectroscopy ecosystem, demonstrate a range of astrophysical applications, and discuss limitations and future extensions.

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6

Evans, W. D. "SOBOLEV SPACES." Bulletin of the London Mathematical Society 19, no. 1 (January 1987): 95–96. http://dx.doi.org/10.1112/blms/19.1.95.

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7

Ellis, A. J. "Equivalence for Complex State Spaces of Function Spaces." Bulletin of the London Mathematical Society 19, no. 4 (July 1987): 359–62. http://dx.doi.org/10.1112/blms/19.4.359.

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8

McWhirter, Paul Ross, and Marco C. Lam. "Identifying blue large amplitude pulsators from Gaia DR2 and ZTF DR3." Monthly Notices of the Royal Astronomical Society 511, no. 4 (February 2, 2022): 4971–80. http://dx.doi.org/10.1093/mnras/stac291.

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ABSTRACT Blue large amplitude pulsators (BLAPs) are hot, subluminous stars undergoing rapid variability with periods of under 60 min. They have been linked with the early stages of pre-white dwarfs and hot subdwarfs. They are a rare class of variable star due to their evolutionary history within interacting binary systems and the short time-scales relative to their lifetime in which they are pulsationally unstable. All currently known BLAPs are relatively faint (15–19 mag) and are located in the Galactic plane. These stars have intrinsically blue colours but the large interstellar extinction in the Galactic plane prevents them from swift identification using colour-based selection criteria. In this paper, we correct the Gaia G-band apparent magnitude and GBP − GRP colours of 89.6 million sources brighter than 19 mag in the Galactic plane with good quality photometry combined with supplementary all-sky data totalling 162.3 million sources. Selecting sources with colours consistent with the known population of BLAPs and performing a cross-match with the Zwicky Transient Facility (ZTF) DR3, we identify 98 short period candidate variables. Manual inspection of the period-folded light curves reveals 22 candidate BLAPs. Of these targets, 6 are consistent with the observed periods and light curves of the known BLAPs, 10 are within the theoretical period range of BLAPs, and 6 are candidate high-gravity BLAPs. We present follow-up spectra of 21 of these candidate sources and propose to classify one of them as a BLAP, and tentatively assign an additional eight of them as BLAPs for future population studies.

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9

Evans, W. D. "WEIGHTED SOBOLEV SPACES." Bulletin of the London Mathematical Society 18, no. 2 (March 1986): 220–21. http://dx.doi.org/10.1112/blms/18.2.220.

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10

James, I. M. "Presidential Address: Spaces." Bulletin of the London Mathematical Society 18, no. 6 (November 1986): 529–59. http://dx.doi.org/10.1112/blms/18.6.529.

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11

Segal, Graeme. "Space and spaces." Bulletin of the London Mathematical Society 48, no. 1 (October 22, 2015): 1–11. http://dx.doi.org/10.1112/blms/bdv065.

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12

De Maria, Jose L., and Baltasar Rodriguez-Salinas. "Banach Spaces which are Radon Spaces with the Weak Topology." Bulletin of the London Mathematical Society 25, no. 6 (November 1993): 577–81. http://dx.doi.org/10.1112/blms/25.6.577.

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13

Waśko, Anna. "Spaces Universal under Closed Embeddings for Finite-Dimensional Complete Metric Spaces." Bulletin of the London Mathematical Society 18, no. 3 (May 1986): 293–98. http://dx.doi.org/10.1112/blms/18.3.293.

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14

Chaloner, Eddie. "Blast injury in enclosed spaces." BMJ 331, no. 7509 (July 11, 2005): 119–20. http://dx.doi.org/10.1136/bmj.331.7509.119.

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15

Lindenstrauss, Joram. "BANACH SPACES FOR ANALYSTS." Bulletin of the London Mathematical Society 24, no. 6 (November 1992): 620–22. http://dx.doi.org/10.1112/blms/24.6.620.

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16

Kochanek, Tomasz, and Eva Pernecká. "Lipschitz-free spaces over compact subsets of superreflexive spaces are weakly sequentially complete." Bulletin of the London Mathematical Society 50, no. 4 (July 15, 2018): 680–96. http://dx.doi.org/10.1112/blms.12179.

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17

Kim, Inkang. "Systole on locally symmetric spaces." Bulletin of the London Mathematical Society 52, no. 2 (March 12, 2020): 349–57. http://dx.doi.org/10.1112/blms.12329.

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18

Partington, J. R. "Maximal Norms on Banach Spaces." Bulletin of the London Mathematical Society 17, no. 1 (January 1985): 55–56. http://dx.doi.org/10.1112/blms/17.1.55.

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19

Partington, J. R. "Self-Conjugate Polyhedral Banach Spaces." Bulletin of the London Mathematical Society 18, no. 3 (May 1986): 284–86. http://dx.doi.org/10.1112/blms/18.3.284.

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20

Roe, John. "GLOBAL ANALYSIS ON FOLIATED SPACES." Bulletin of the London Mathematical Society 21, no. 6 (November 1989): 612–14. http://dx.doi.org/10.1112/blms/21.6.612.

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21

Burstall, F. E. "INTRODUCTION TO COMPLEX HYPERBOLIC SPACES." Bulletin of the London Mathematical Society 22, no. 2 (March 1990): 197–99. http://dx.doi.org/10.1112/blms/22.2.197.

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22

Betker, Th. "Löwner Chains and Hardy Spaces." Bulletin of the London Mathematical Society 23, no. 4 (July 1991): 367–71. http://dx.doi.org/10.1112/blms/23.4.367.

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23

Kobak, P. Z. "Birational Correspondences Between Twistor Spaces." Bulletin of the London Mathematical Society 26, no. 2 (March 1994): 186–90. http://dx.doi.org/10.1112/blms/26.2.186.

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24

Baird, Paul, and Radu Pantilie. "Harmonic morphisms on heaven spaces." Bulletin of the London Mathematical Society 41, no. 2 (March 11, 2009): 198–204. http://dx.doi.org/10.1112/blms/bdp006.

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25

Bellamy, Gwyn. "On singular Calogero-Moser spaces." Bulletin of the London Mathematical Society 41, no. 2 (March 11, 2009): 315–26. http://dx.doi.org/10.1112/blms/bdp019.

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26

Galaz-Garcia, Fernando, and Luis Guijarro. "Isometry groups of Alexandrov spaces." Bulletin of the London Mathematical Society 45, no. 3 (January 12, 2013): 567–79. http://dx.doi.org/10.1112/blms/bds101.

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27

Walton, James J. "Cohomology of rotational tiling spaces." Bulletin of the London Mathematical Society 49, no. 6 (October 6, 2017): 1013–27. http://dx.doi.org/10.1112/blms.12098.

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28

Byrne, C. M., E. R. Stanway, and J. J. Eldridge. "Binary evolution pathways of blue large-amplitude pulsators." Monthly Notices of the Royal Astronomical Society 507, no. 1 (July 24, 2021): 621–31. http://dx.doi.org/10.1093/mnras/stab2115.

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ABSTRACT Blue large-amplitude pulsators (BLAPs) are a recently discovered class of pulsating star, believed to be proto-white dwarfs, produced by mass stripping of a red giant when it has a small helium core. An outstanding question is why the stars in this class of pulsator seem to form two distinct groups by surface gravity, despite predictions that stars in the gap between them should also pulsate. We use a binary population synthesis model to identify potential evolutionary pathways that a star can take to become a BLAP. We find that BLAPs can be produced either through common envelope evolution or through Roche lobe overflow, with a main-sequence star or an evolved compact object being responsible for the envelope stripping. The mass distribution of the inferred population indicates that fewer stars would be expected in the range of masses intermediate to the two known groups of pulsators, suggesting that the lack of observational discoveries in this region may be a result of the underlying population of pre-white dwarf stars. We also consider metallicity variation and find evidence that BLAPs at Z = 0.010 (half-solar) would be pulsationally unstable and may also be more common. Based on this analysis, we expect the Milky Way to host around 12 000 BLAPs and we predict the number density of sources expected in future observations such as the Legacy Survey of Space and Time at the Vera Rubin Observatory.

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29

Huczek, A., and A. Wiśnicki. "Wolff–Denjoy theorems in geodesic spaces." Bulletin of the London Mathematical Society 53, no. 4 (April 13, 2021): 1139–58. http://dx.doi.org/10.1112/blms.12489.

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30

Aron, R. M. "HOLOMORPHY AND CALCULUS IN NORMED SPACES." Bulletin of the London Mathematical Society 18, no. 4 (July 1986): 424–25. http://dx.doi.org/10.1112/blms/18.4.424.

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31

Collins, P. J. "EXTENSIONS AND ABSOLUTES OF HAUSDORFF SPACES." Bulletin of the London Mathematical Society 23, no. 1 (January 1991): 98–99. http://dx.doi.org/10.1112/blms/23.1.98.

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32

Braverman, Michael. "Independent Random Variables in Lorentz Spaces." Bulletin of the London Mathematical Society 28, no. 1 (January 1996): 79–87. http://dx.doi.org/10.1112/blms/28.1.79.

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33

Morales, Claudio H. "Locally Accretive Mappings in Banach Spaces." Bulletin of the London Mathematical Society 28, no. 6 (November 1996): 627–33. http://dx.doi.org/10.1112/blms/28.6.627.

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34

Nicolau, Artur, and Daniel Seco. "Smoothness of sets in Euclidean spaces." Bulletin of the London Mathematical Society 43, no. 3 (February 26, 2011): 536–46. http://dx.doi.org/10.1112/blms/bdq121.

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35

Barcelo, Hélène, Valerio Capraro, and Jacob A. White. "Discrete homology theory for metric spaces." Bulletin of the London Mathematical Society 46, no. 5 (June 17, 2014): 889–905. http://dx.doi.org/10.1112/blms/bdu043.

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36

Wasilewski, Mateusz. "Amalgamated direct sums of operator spaces." Bulletin of the London Mathematical Society 48, no. 1 (January 22, 2016): 155–62. http://dx.doi.org/10.1112/blms/bdv093.

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37

Byun, Sun‐Sig, and Lubomira Softova. "Asymptotically regular operators in generalized Morrey spaces." Bulletin of the London Mathematical Society 52, no. 1 (November 6, 2019): 64–76. http://dx.doi.org/10.1112/blms.12306.

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38

Dimca, Alexandru, and Stancho Dimiev. "On Analytic Coverings of Weighted Projective Spaces." Bulletin of the London Mathematical Society 17, no. 3 (May 1985): 234–38. http://dx.doi.org/10.1112/blms/17.3.234.

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39

Hamhalter, J., and P. Pták. "A Completeness Criterion for Inner Product Spaces." Bulletin of the London Mathematical Society 19, no. 3 (May 1987): 259–63. http://dx.doi.org/10.1112/blms/19.3.259.

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40

Deville, Robert. "A Characterization of C ∞ -Smooth Banach Spaces." Bulletin of the London Mathematical Society 22, no. 1 (January 1990): 13–17. http://dx.doi.org/10.1112/blms/22.1.13.

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41

Patterson, S. J. "HARMONIC ANALYSIS ON SYMMETRIC SPACES AND APPLICATIONS." Bulletin of the London Mathematical Society 22, no. 4 (July 1990): 402–4. http://dx.doi.org/10.1112/blms/22.4.402.

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42

Evans, W. D., and J. Rákosník. "Anisotropic Sobolev Spaces and a Quasidistance Function." Bulletin of the London Mathematical Society 23, no. 1 (January 1991): 59–66. http://dx.doi.org/10.1112/blms/23.1.59.

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43

Lindström, Mikael, and Thomas Schlumprecht. "A Josefson-Nissenzweig Theorem For Fréchet Spaces." Bulletin of the London Mathematical Society 25, no. 1 (January 1993): 55–58. http://dx.doi.org/10.1112/blms/25.1.55.

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44

Camina, Alan R., and Cheryl E. Praeger. "Line-Transitive Automorphism Groups of Linear Spaces." Bulletin of the London Mathematical Society 25, no. 4 (July 1993): 309–15. http://dx.doi.org/10.1112/blms/25.4.309.

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45

Lee, Han Ju. "Banach spaces with polynomial numerical index 1." Bulletin of the London Mathematical Society 40, no. 2 (April 2008): 193–98. http://dx.doi.org/10.1112/blms/bdm113.

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46

Frerick, Leonhard, and Jochen Wengenroth. "(LB)-spaces of vector-valued continuous functions." Bulletin of the London Mathematical Society 40, no. 3 (May 3, 2008): 505–15. http://dx.doi.org/10.1112/blms/bdn033.

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47

Wojtylak, Michał. "A criterion for selfadjointness in Krein spaces." Bulletin of the London Mathematical Society 40, no. 5 (July 25, 2008): 807–16. http://dx.doi.org/10.1112/blms/bdn059.

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48

Hamilton, Martin. "Finitary group cohomology and Eilenberg-MacLane spaces." Bulletin of the London Mathematical Society 41, no. 5 (July 20, 2009): 782–94. http://dx.doi.org/10.1112/blms/bdp028.

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49

Duncan, Jonathan, and Sławomir Solecki. "Recovering Baire one functions on ultrametric spaces." Bulletin of the London Mathematical Society 41, no. 4 (July 10, 2009): 747–56. http://dx.doi.org/10.1112/blms/bdp053.

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50

Koskela, Pekka, and Sita Benedict. "Intrinsic Hardy-Orlicz spaces of conformal mappings." Bulletin of the London Mathematical Society 47, no. 1 (December 7, 2014): 75–84. http://dx.doi.org/10.1112/blms/bdu097.

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