Search Results - "Chui, Charles K."
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1
Fine Perceptive GANs for Brain MR Image Super-Resolution in Wavelet Domain
Published in IEEE transaction on neural networks and learning systems (01-11-2023)“…Magnetic resonance (MR) imaging plays an important role in clinical and brain exploration. However, limited by factors such as imaging hardware, scanning time,…”
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2
Direct Signal Separation via Extraction of Local Frequencies With Adaptive Time-Varying Parameters
Published in IEEE transactions on signal processing (2022)“…Real-world phenomena that can be formulated as signals are often affected by a number of factors and appear as multi-component modes. To understand and process…”
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An Effective Video Transformer With Synchronized Spatiotemporal and Spatial Self-Attention for Action Recognition
Published in IEEE transaction on neural networks and learning systems (01-02-2024)“…Convolutional neural networks (CNNs) have come to dominate vision-based deep neural network structures in both image and video models over the past decade…”
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Theory-Inspired Deep Network for Instantaneous-Frequency Extraction and Subsignals Recovery From Discrete Blind-Source Data
Published in IEEE transaction on neural networks and learning systems (01-08-2022)“…In the mathematical and engineering literature on signal processing and time-series analysis, there are two opposite points of view concerning the extraction…”
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Realization of Spatial Sparseness by Deep ReLU Nets With Massive Data
Published in IEEE transaction on neural networks and learning systems (01-01-2022)“…The great success of deep learning poses urgent challenges for understanding its working mechanism and rationality. The depth, structure, and massive size of…”
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On Marcinkiewicz–Zygmund Inequalities and Ap-Weights for L-Shape Arcs
Published in The Journal of geometric analysis (2021)“…Let Γ be an L -shape arc consisting of 2 line segments that meet at an angle different from π in the complex z -plane C . Application of the exterior conformal…”
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Deep Nets for Local Manifold Learning
Published in Frontiers in applied mathematics and statistics (29-05-2018)“…The problem of extending a function f defined on a training data C on an unknown manifold 𝕏 to the entire manifold and a tubular neighborhood of this manifold…”
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Flow-Based Image Abstraction
Published in IEEE transactions on visualization and computer graphics (01-01-2009)“…We present a non-photorealistic rendering technique that automatically delivers a stylized abstraction of a photograph. Our approach is based on shape/color…”
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Construction of Neural Networks for Realization of Localized Deep Learning
Published in Frontiers in applied mathematics and statistics (17-05-2018)“…The subject of deep learning has recently attracted users of machine learning from various disciplines, including: medical diagnosis and bioinformatics,…”
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Generative AI Enables Synthesizing Cross-Modality Brain Image via Multi-Level-Latent Representation Learning
Published in IEEE transactions on computational imaging (2024)“…Multiple brain imaging modalities can provide complementary pathologic information for clinical diagnosis. However, it is huge challenge to acquire enough…”
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Multirate systems with shortest spline-wavelet filters
Published in Applied and computational harmonic analysis (01-07-2016)“…Motivated by the need of short FIR filters for perfect-reconstruction multirate systems, the main objective of this paper is to derive the shortest filters for…”
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12
Smooth function extension based on high dimensional unstructured data
Published in Mathematics of computation (01-11-2014)“…, but have similar geometric properties, can be arranged to be close neighbors on the manifold. The objective of this paper is to incorporate the consideration…”
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13
Deep Net Tree Structure for Balance of Capacity and Approximation Ability
Published in Frontiers in applied mathematics and statistics (11-09-2019)“…Deep learning has been successfully used in various applications including image classification, natural language processing and game theory. The heart of deep…”
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14
Tight frame oversampling and its equivalence to shift-invariance of affine frame operators
Published in Proceedings of the American Mathematical Society (01-05-2003)“…Let \Psi=\{\psi_1, \ldots, \psi_L\}\subset L^2:=L^2(-\infty, \infty) generate a tight affine frame with dilation factor M, where 2\le M\in \mathbf{Z}, and…”
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15
Tight frames of compactly supported multivariate multi-wavelets
Published in Journal of computational and applied mathematics (15-02-2010)“…This paper is devoted to the study and construction of compactly supported tight frames of multivariate multi-wavelets. In particular, a necessary condition…”
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16
From extension of Loop's approximation scheme to interpolatory subdivisions
Published in Computer aided geometric design (01-02-2008)“…The minimum-supported bivariate C 2 -cubic spline on a 6-directional mesh constructed in our previous work [Chui, C.K., Jiang, Q.T., 2003. Surface subdivision…”
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17
PDE models associated with the bilateral filter
Published in Advances in computational mathematics (01-10-2009)“…The bilateral filter, introduced in 1998 by Tomasi and Manduchi for feature-preservation image noise-reduction, has recently made significant impacts to other…”
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18
Super-resolution wavelets for recovery of arbitrarily close point-masses with arbitrarily small coefficients
Published in Applied and computational harmonic analysis (01-11-2022)“…Three families of super-resolution (SR) wavelets Ψv,ng(x), Ψu,n,ms(x) and Ψw,n,mds(x), to be called Gaussian SR (GSR), spline SR (SSR) and dual-spline SR…”
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Matrix-valued 4-point spline and 3-point non-spline interpolatory curve subdivision schemes
Published in Computer aided geometric design (01-10-2009)“…The objective of this paper is to study and construct matrix-valued templates for interpolatory curve subdivision. Since our investigation of this problem was…”
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Corrigendum to “A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond” [Appl. Comput. Harmon. Anal. 63 (2023) 1–19]
Published in Applied and computational harmonic analysis (01-11-2023)“…This note is to point out a serious typo in [1] and clarify a notation in [2]…”
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