12 resultados para Affine invariant
em Bulgarian Digital Mathematics Library at IMI-BAS
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∗ This work has been partially supported by the Bulgarian NSF under Contract No. I-506/1995.
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In this paper, a modification for the high-order neural network (HONN) is presented. Third order networks are considered for achieving translation, rotation and scale invariant pattern recognition. They require however much storage and computation power for the task. The proposed modified HONN takes into account a priori knowledge of the binary patterns that have to be learned, achieving significant gain in computation time and memory requirements. This modification enables the efficient computation of HONNs for image fields of greater that 100 × 100 pixels without any loss of pattern information.
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ACM Computing Classification System (1998): G.2.1.
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Ива Р. Докузова, Димитър Р. Разпопов - В настоящата статия е разгледан клас V оттримерни риманови многообразия M с метрика g и два афинорни тензора q и S. Дефинирана е и друга метрика ¯g в M. Локалните координати на всички тези тензори са циркулантни матрици. Намерени са: 1) зависимост между тензора на кривина R породен от g и тензора на кривина ¯R породен от ¯g; 2) тъждество за тензора на кривина R в случая, когато тензорът на кривина ¯R се анулира; 3) зависимост между секционната кривина на прозволна двумерна q-площадка {x, qx} и скаларната кривина на M.
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2010 Mathematics Subject Classification: 53A07, 53A35, 53A10.
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We show that a conserved current for the Maxwellian field, which is invariant under the gauge group of that field, is the sum of two currents Ф+T, where Ф corresponds to a Poincare symmetry of the field, and T is a topological form that is conserved under every dynamics.
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2000 Mathematics Subject Classification: Primary 32F45.
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2000 Mathematics Subject Classification: 53C42, 53C15.
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MSC 2010: 33C15, 33C05, 33C45, 65R10, 20C40
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2000 Mathematics Subject Classification: 13N15, 13A50, 16W25.
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2000 Mathematics Subject Classification: 13N15, 13A50, 13F20.
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2000 Mathematics Subject Classification: 54C35, 54D20, 54C60.