260 research outputs found

    Optimal transport for vector Gaussian mixture models

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    Vector Gaussian mixture models form an important special subset of vector-valued distributions. Any physical entity that can mutate or transit among alternative manifestations distributed in a given space falls into this category. A key example is color imagery. In this note, we vectorize the Gaussian mixture model and study different optimal mass transport related problems for such models. The benefits of using vector Gaussian mixture for optimal mass transport include computational efficiency and the ability to preserve structure

    Classification of derivation-simple color algebras related to locally finite derivations

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    We classify the pairs (A,D)(A,D) consisting of an (ϵ,Γ)(\epsilon,\Gamma)-olor-commutative associative algebra AA with an identity element over an algebraically closed field FF of characteristic zero and a finite dimensional subspace DD of (ϵ,Γ)(\epsilon,\Gamma)-color-commutative locally finite color-derivations of AA such that AA is Γ\Gamma-graded DD-simple and the eigenspaces for elements of DD are Γ\Gamma-graded. Such pairs are the important ingredients in constructing some simple Lie color algebras which are in general not finitely-graded. As some applications, using such pairs, we construct new explicit simple Lie color algebras of generalized Witt type, Weyl type.Comment: 15 page

    LSSANet: A Long Short Slice-Aware Network for Pulmonary Nodule Detection

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    Convolutional neural networks (CNNs) have been demonstrated to be highly effective in the field of pulmonary nodule detection. However, existing CNN based pulmonary nodule detection methods lack the ability to capture long-range dependencies, which is vital for global information extraction. In computer vision tasks, non-local operations have been widely utilized, but the computational cost could be very high for 3D computed tomography (CT) images. To address this issue, we propose a long short slice-aware network (LSSANet) for the detection of pulmonary nodules. In particular, we develop a new non-local mechanism termed long short slice grouping (LSSG), which splits the compact non-local embeddings into a short-distance slice grouped one and a long-distance slice grouped counterpart. This not only reduces the computational burden, but also keeps long-range dependencies among any elements across slices and in the whole feature map. The proposed LSSG is easy-to-use and can be plugged into many pulmonary nodule detection networks. To verify the performance of LSSANet, we compare with several recently proposed and competitive detection approaches based on 2D/3D CNN. Promising evaluation results on the large-scale PN9 dataset demonstrate the effectiveness of our method. Code is at https://github.com/Ruixxxx/LSSANet.Comment: MICCAI 202

    PRELIMINARY STUDY OF TRAINING COMPONENTS ON SENSORIMOTOR SYSTEM IN TAI CHI

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    The purpose of this study was to identify if Tai Chi (TC) movements are full with the training components on sensorimotor system by movement kinematics and electromyography (EMG) analysis. Two TC masters performed a typical TC movement "brush knees and twist steps" twice. Motion analysis showed that joint angles (ankles, knees and hips) of eight different postures, height and velocity of center of gravity (C.G.) of the whole movement had no significant difference in two trials. The results indicated that the TC masters had good awareness of joint position and movement and spatial position sense. Moreover, EMG analysis showed that muscles activated from full relaxation to vigorous contraction and the similar EMG patterns of each muscle in two trials suggested the good training effect of TC on muscle coordinative contraction

    Blind Beamforming for Intelligent Reflecting Surface in Fading Channels without CSI

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    This paper discusses how to optimize the phase shifts of intelligent reflecting surface (IRS) to combat channel fading without any channel state information (CSI), namely blind beamforming. Differing from most previous works based on a two-stage paradigm of first estimating channels and then optimizing phase shifts, our approach is completely data-driven, only requiring a dataset of the received signal power at the user terminal. Thus, our method does not incur extra overhead costs for channel estimation, and does not entail collaboration from service provider, either. The main idea is to choose phase shifts at random and use the corresponding conditional sample mean of the received signal power to extract the main features of the wireless environment. This blind beamforming approach guarantees an N2N^2 boost of signal-to-noise ratio (SNR), where NN is the number of reflective elements (REs) of IRS, regardless of whether the direct channel is line-of-sight (LoS) or not. Moreover, blind beamforming is extended to a double-IRS system with provable performance. Finally, prototype tests show that the proposed blind beamforming method can be readily incorporated into the existing communication systems in the real world; simulation tests further show that it works for a variety of fading channel models.Comment: 14 pages, 14 figure
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