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A Schmidt’s Subspace Theorem for Moving Hyperplane Targets Over Function Fields
The Schmidt subspace theorem has been studied extensively for both cases of fixed and moving targets in projective spaces over number fields and the...
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Schmidt’s Subspace Theorem for Moving Hypersurface Targets in Subgeneral Position in Projective Varieties
Our goal is to give Schmidt’s subspace theorem for moving hypersurface targets in subgeneral position in projective varieties.
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Second Main Theorem for Meromorphic Maps into Algebraic Varieties Intersecting Moving Hypersurfaces Targets
Since the great work on holomorphic curves into algebraic varieties intersecting hypersurfaces in general position established by Ru in 2009,...
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Quantitative subspace theorem and general form of second main theorem for higher degree polynomials
This paper deals with the quantitative Schmidt’s subspace theorem and the general from of the second main theorem, which are two correspondence...
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Learning spatio-temporal discriminative model for affine subspace based visual object tracking
Discriminative correlation filters (DCF) with powerful feature descriptors have proven to be very effective for advanced visual object tracking...
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Difference analogues of the second main theorem for holomorphic curves and arbitrary families of hypersurfaces in projective varieties
Our goal in this paper is to establish some difference analogue of second main theorems for holomorphic curves into projective varieties intersecting...
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Joint fuzzy background and adaptive foreground model for moving target detection
Moving target detection is one of the most basic tasks in computer vision. In conventional wisdom, the problem is solved by iterative optimization...
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Population coding of strategic variables during foraging in freely moving macaques
Until now, it has been difficult to examine the neural bases of foraging in naturalistic environments because previous approaches have relied on...
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Moving object detection in gigapixel-level videos using manifold sparse representation
Moving object detection (MOD) is one of the most important and challenging tasks in analyzing videos. Recently, emerging gigapixel-level videos have...
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The Theorem of Completeness of the Characteristic Series: Enriques’ Contribution
In this paper I will recall the content of the so-called theorem of completeness of the characteristic series, whose algebro-geometric proof has been... -
The connected wedge theorem and its consequences
In the AdS/CFT correspondence, bulk causal structure has consequences for boundary entanglement. In quantum information science, causal structures...
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Greatest common divisors for polynomials in almost units and applications to linear recurrence sequences
We bound the greatest common divisor of two coprime multivariable polynomials evaluated at algebraic numbers, generalizing work of Levin, and going...
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Kernelized global-local discriminant information preservation for unsupervised domain adaptation
Visual recognition has become inevitable in applications such as object detection, biometric tracking, autonomous vehicles, and social media...
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Discriminative object tracking with subspace representation
Visual object tracking is a core research area in the field of pattern recognition and computer vision. It becomes one of the most significant tasks...
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Holomorphic Curves into Algebraic Varieties Intersecting Moving Hypersurface Targets
In Ru (Ann. Math. 169 , 255–267
2009 ), Min Ru proved a second main theorem for algebraically nondegenerate holomorphic curves in complex projective... -
Porous invariants for linear systems
We introduce the notion of porous invariants for multipath affine loops over the integers. These are invariants definable in (fragments of)...
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Correlation-based feature partition regression method for unsupervised anomaly detection
Anomaly detection problem has been extensively studied in a variety of application domains, where the data tags are difficult to obtain. Most...
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Parallel discriminative subspace for city target detection from high dimension images
City Target Detection is an enduring problem that intrigues the researchers all over the world. The great success of existing Target Detection...
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Harmonic multi-symplectic Lanczos algorithm for quaternion singular triplets
The computation of quaternion singular triplets has become one of the core targets of color image processing. However, the existing algorithms are...
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Dynamic background suppression deconvolved high-resolution beamforming algorithm for the multibeam echo sounder
Beamforming is one of the most important techniques for multibeam echo sounder (MBES) for engineering applications, such as seafloor topographic...