Academic literature on the topic 'L1 Norms'

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Journal articles on the topic "L1 Norms"

1

Arens, Richard, and Moshe Goldberg. "Multilinear operators and weighted l1 norms." Linear Algebra and its Applications 267 (December 1997): 1–10. http://dx.doi.org/10.1016/s0024-3795(97)80039-0.

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2

Fu, Haoying, Michael K. Ng, Mila Nikolova, and Jesse L. Barlow. "Efficient Minimization Methods of Mixed l2-l1 and l1-l1 Norms for Image Restoration." SIAM Journal on Scientific Computing 27, no. 6 (2006): 1881–902. http://dx.doi.org/10.1137/040615079.

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3

Qi, Jinshan, Xun Liang, and Rui Xu. "A Multiple Kernel Learning Model Based on p-Norm." Computational Intelligence and Neuroscience 2018 (2018): 1–7. http://dx.doi.org/10.1155/2018/1018789.

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By utilizing kernel functions, support vector machines (SVMs) successfully solve the linearly inseparable problems. Subsequently, its applicable areas have been greatly extended. Using multiple kernels (MKs) to improve the SVM classification accuracy has been a hot topic in the SVM research society for several years. However, most MK learning (MKL) methods employ L1-norm constraint on the kernel combination weights, which forms a sparse yet nonsmooth solution for the kernel weights. Alternatively, the Lp-norm constraint on the kernel weights keeps all information in the base kernels. Nonethele
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4

Yun, Jong-Gug. "Comparison Geometry With L1-Norms of Ricci Curvature." Canadian Mathematical Bulletin 49, no. 1 (2006): 152–60. http://dx.doi.org/10.4153/cmb-2006-016-2.

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AbstractWe investigate the geometry of manifolds with bounded Ricci curvature in L1-sense. In particular, we generalize the classical volume comparison theorem to our situation and obtain a generalized sphere theorem.
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5

Mustafa Chalabee, Botan A., and Bayan A. Hassan. "Cephalometric Norms of Erbil Kurdish Adults." Polytechnic Journal 10, no. 1 (2020): 130–34. http://dx.doi.org/10.25156/ptj.v10n1y2020.pp130-134.

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Ethical group might have differential skeletal forms, thus cephalometric analysis and orthodontic material have been developed for specific ethnic groups which might be different for Kurdish Ethics.Objectives: This study is to determine the cephalometric norms of an Erbil Kurdish population according to Steiner analysis, who attend to Tishk Hospital/Diagnosis Department Materials and Methods: In this cross-sectional study, 48 lateral cephalograms of adult orthodontic subjects between 20 and 29 years with normal occlusion, and with no previous orthodontic treatment were evaluated. Lateral cepha
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6

Siangloy, Thitirat, and Chairat Charoemratrote. "Incisor and Soft Tissue Characteristics of Adult Bimaxillary Protrusion Patients among Different Skeletal Anteroposterior Classifications." Diagnostics 14, no. 10 (2024): 1031. http://dx.doi.org/10.3390/diagnostics14101031.

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The objective of this study was to investigate the upper incisors (U1), lower incisors (L1), and soft tissue profiles of bimaxillary protrusion (BM) adult patients among skeletal Class I (BM1), II (BM2) and III (BM3). Understanding these characteristics would be useful for incisor and lip diagnostics in different skeletal classifications. Fourteen linear and twelve angular variables of the incisors and lips were evaluated in 214 lateral cephalograms (BM1 = 91, BM2 = 84, BM3 = 39). ANOVA and Bonferroni tests compared the measurements. BM1 and BM3 exhibited a greater U1 position and U1 inclinati
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Yun, Jong-Gug. "Mean Curvature Comparison with L1-norms of Ricci Curvature." Canadian Mathematical Bulletin 47, no. 2 (2004): 314–20. http://dx.doi.org/10.4153/cmb-2004-030-0.

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8

Sanchez Lopez, Hector, Yajie Xu, Pulung Nurtantio Andono, Yan Chang, and Xiaodong Yang. "Planar Gradient Coil Design Using L1 and L2 Norms." Applied Magnetic Resonance 49, no. 9 (2018): 959–73. http://dx.doi.org/10.1007/s00723-018-1020-3.

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9

Mehta, Harsh. "The L1 norms of de la Vallée Poussin kernels." Journal of Mathematical Analysis and Applications 422, no. 2 (2015): 825–37. http://dx.doi.org/10.1016/j.jmaa.2014.09.018.

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10

Kalaj, David, and Djordjije Vujadinovic. "The Gradient of a Solution of the Poisson Equation in the Unit Ball and Related Operators." Canadian Mathematical Bulletin 60, no. 3 (2017): 536–45. http://dx.doi.org/10.4153/cmb-2017-020-7.

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AbstractIn this paper we determine the L1 ⟶ L1 and L∞ ⟶ L∞ norms of an integral operator N related to the gradient of the solution of Poisson equation in the unit ball with vanishing boundary data in sense of distributions.
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