The urban-rural equalized development （URED） as a definite measure and operating model is beneficial to gradually eliminating the dual-track structure of urban-rural development, bridging the gap of urban-rural deve...The urban-rural equalized development （URED） as a definite measure and operating model is beneficial to gradually eliminating the dual-track structure of urban-rural development, bridging the gap of urban-rural development, and creating harmonious urban-rural interactions. This paper aims to explore the status quo of URED in China at prefecture level, and to reveal the spatio-temporal patterns of URED and its differentiation regularity. The results show that： （1） China＇s URED level can be categorized into two parts, i.e., the eastern and the western, according to the ＂HU Huanyong Line＂, presenting a pattern of ＂east high and west low＂ and the URED level improves on the whole with the increase of distance from the line; （2） China＇s URED level can also be categorized into the northern and the southern parts according to ＂Kunlun-Qinling-Huaihe Line＂, presenting a pattern of ＂north high and south low＂, and the URED level reduces on the whole with the increase of distance from the line; （3） At the national level, China＇s URED has a significant trend of spatial agglomeration, the high and low URED regions tend to be adjacent, namely, the URED level presents obvious regional unbalance; （4） The five sub-dimension indicators of the URED level in the geographical space also reveal similar regional differentiation pattern, and in the aspect of space a decreasing trend is found in the URED level from the eastern （northern coast, eastern coast and southern coast）, the northeastern, the central （the middle reaches of the Yangtze River and the Yellow River） to the western （northwest and southwest）; and （5） China＇s URED at prefecture-level city can be divided into five types of differentiation areas. This study contributes to promoting the integrative cognition of the status quo of China＇s URED and can serve as a scientific ref- erence concerning the decision-making of coordinating urban-rural development and of pushing forward new-type urbanization strategy in China.展开更多
In this paper we proved the A_(p)-weighted inequalities for martingale transforms and differential subordinations of Banach-space-valued regular maringales.We discussed the relations between the weighted inequalities,...In this paper we proved the A_(p)-weighted inequalities for martingale transforms and differential subordinations of Banach-space-valued regular maringales.We discussed the relations between the weighted inequalities,A_(p)-weight functions and the Banach spaces which has the UMD property or are isomorphic to Hilbert space.展开更多
Medical image synthesis(MIS)can greatly save the economic and time costs of medical diagnosis.However,due to the complexity of medical images and similar characteristics of different tissue cells,existing methods face...Medical image synthesis(MIS)can greatly save the economic and time costs of medical diagnosis.However,due to the complexity of medical images and similar characteristics of different tissue cells,existing methods face great challenges in meeting their biological consistency.To this end,we propose the hybrid augmented generative adversarial network(HAGAN)to maintain the authenticity of structural texture and tissue cells.HAGAN contains attention mixed(AttnMix)generator,hierarchical discriminator and reverse skip connection between discriminator and generator.The AttnMix consistency differentiable regularization encourages the perception in structural and textural variations between real and fake images,which improves the pathological integrity of synthetic images and the accuracy of features in local areas.The hierarchical discriminator introduces pixel-by-pixel discriminant feedback to generator for enhancing the saliency and discriminance of global and local details simultaneously.The reverse skip connection further improves the accuracy for fine details by fusing real and synthetic distribution features.Our experimental evaluations on two datasets of different scales,i.e.,ACDC and BraTS2018,demonstrate that HAGAN outperforms the existing methods and achieves state-of-the-art performance in both high-resolution and low-resolution.展开更多
Highly scattering media,such as milk,skin,and clouds,are common in the real world.Rendering participating media is challenging,especially for highorder scattering dominant media,because the light may undergo a large n...Highly scattering media,such as milk,skin,and clouds,are common in the real world.Rendering participating media is challenging,especially for highorder scattering dominant media,because the light may undergo a large number of scattering events before leaving the surface.Monte Carlo-based methods typically require a long time to produce noise-free results.Based on the observation that low-albedo media contain less noise than high-albedo media,we propose reducing the variance of the rendered results using differentiable regularization.We first render an image with low-albedo participating media together with the gradient with respect to the albedo,and then predict the final rendered image with a low-albedo image and gradient image via a novel prediction function.To achieve high quality,we also consider the gradients of neighboring frames to provide a noise-free gradient image.Ultimately,our method can produce results with much less overall eror than equal-time path tracing methods.展开更多
基金National Natural Science Foundation of China, No.41130748, No.41471143
文摘The urban-rural equalized development （URED） as a definite measure and operating model is beneficial to gradually eliminating the dual-track structure of urban-rural development, bridging the gap of urban-rural development, and creating harmonious urban-rural interactions. This paper aims to explore the status quo of URED in China at prefecture level, and to reveal the spatio-temporal patterns of URED and its differentiation regularity. The results show that： （1） China＇s URED level can be categorized into two parts, i.e., the eastern and the western, according to the ＂HU Huanyong Line＂, presenting a pattern of ＂east high and west low＂ and the URED level improves on the whole with the increase of distance from the line; （2） China＇s URED level can also be categorized into the northern and the southern parts according to ＂Kunlun-Qinling-Huaihe Line＂, presenting a pattern of ＂north high and south low＂, and the URED level reduces on the whole with the increase of distance from the line; （3） At the national level, China＇s URED has a significant trend of spatial agglomeration, the high and low URED regions tend to be adjacent, namely, the URED level presents obvious regional unbalance; （4） The five sub-dimension indicators of the URED level in the geographical space also reveal similar regional differentiation pattern, and in the aspect of space a decreasing trend is found in the URED level from the eastern （northern coast, eastern coast and southern coast）, the northeastern, the central （the middle reaches of the Yangtze River and the Yellow River） to the western （northwest and southwest）; and （5） China＇s URED at prefecture-level city can be divided into five types of differentiation areas. This study contributes to promoting the integrative cognition of the status quo of China＇s URED and can serve as a scientific ref- erence concerning the decision-making of coordinating urban-rural development and of pushing forward new-type urbanization strategy in China.
文摘In this paper we proved the A_(p)-weighted inequalities for martingale transforms and differential subordinations of Banach-space-valued regular maringales.We discussed the relations between the weighted inequalities,A_(p)-weight functions and the Banach spaces which has the UMD property or are isomorphic to Hilbert space.
基金supported in part by the National Natural Science Foundation of China(Nos.62376037,62306042,62006227 and 82202244)the Open Project Program of the Key Laboratory of Artificial Intelligence for Perception and Understanding,Liaoning Province(AIPU),China(No.20230006).
文摘Medical image synthesis(MIS)can greatly save the economic and time costs of medical diagnosis.However,due to the complexity of medical images and similar characteristics of different tissue cells,existing methods face great challenges in meeting their biological consistency.To this end,we propose the hybrid augmented generative adversarial network(HAGAN)to maintain the authenticity of structural texture and tissue cells.HAGAN contains attention mixed(AttnMix)generator,hierarchical discriminator and reverse skip connection between discriminator and generator.The AttnMix consistency differentiable regularization encourages the perception in structural and textural variations between real and fake images,which improves the pathological integrity of synthetic images and the accuracy of features in local areas.The hierarchical discriminator introduces pixel-by-pixel discriminant feedback to generator for enhancing the saliency and discriminance of global and local details simultaneously.The reverse skip connection further improves the accuracy for fine details by fusing real and synthetic distribution features.Our experimental evaluations on two datasets of different scales,i.e.,ACDC and BraTS2018,demonstrate that HAGAN outperforms the existing methods and achieves state-of-the-art performance in both high-resolution and low-resolution.
基金supported by the National Natural Science Foundation of China under Grant No.62172220。
文摘Highly scattering media,such as milk,skin,and clouds,are common in the real world.Rendering participating media is challenging,especially for highorder scattering dominant media,because the light may undergo a large number of scattering events before leaving the surface.Monte Carlo-based methods typically require a long time to produce noise-free results.Based on the observation that low-albedo media contain less noise than high-albedo media,we propose reducing the variance of the rendered results using differentiable regularization.We first render an image with low-albedo participating media together with the gradient with respect to the albedo,and then predict the final rendered image with a low-albedo image and gradient image via a novel prediction function.To achieve high quality,we also consider the gradients of neighboring frames to provide a noise-free gradient image.Ultimately,our method can produce results with much less overall eror than equal-time path tracing methods.
