The Kadison-Singer problem has variants in different branches of the sciences and one of these variants was proved in 2013. Based on the idea of “sparsification” and with its origins in quantum physics, at the sixti...The Kadison-Singer problem has variants in different branches of the sciences and one of these variants was proved in 2013. Based on the idea of “sparsification” and with its origins in quantum physics, at the sixtieth anniversary of the problem, we revisit the problem in its original formulation and also explore its transition to a result with wide ranging applications. We also describe how the notion of “sparsification” transcended various fields and how this notion led to resolution of the problem.展开更多
The federated self-supervised framework is a distributed machine learning method that combines federated learning and self-supervised learning, which can effectively solve the problem of traditional federated learning...The federated self-supervised framework is a distributed machine learning method that combines federated learning and self-supervised learning, which can effectively solve the problem of traditional federated learning being difficult to process large-scale unlabeled data. The existing federated self-supervision framework has problems with low communication efficiency and high communication delay between clients and central servers. Therefore, we added edge servers to the federated self-supervision framework to reduce the pressure on the central server caused by frequent communication between both ends. A communication compression scheme using gradient quantization and sparsification was proposed to optimize the communication of the entire framework, and the algorithm of the sparse communication compression module was improved. Experiments have proved that the learning rate changes of the improved sparse communication compression module are smoother and more stable. Our communication compression scheme effectively reduced the overall communication overhead.展开更多
A super-resolution reconstruction approach of （SVD） technique was presented, and its performance was radar image using an adaptive-threshold singular value decomposition analyzed, compared and assessed detailedly. F...A super-resolution reconstruction approach of （SVD） technique was presented, and its performance was radar image using an adaptive-threshold singular value decomposition analyzed, compared and assessed detailedly. First, radar imaging model and super-resolution reconstruction mechanism were outlined. Then, the adaptive-threshold SVD super-resolution algorithm, and its two key aspects, namely the determination method of point spread function （PSF） matrix T and the selection scheme of singular value threshold, were presented. Finally, the super-resolution algorithm was demonstrated successfully using the measured synthetic-aperture radar （SAR） images, and a Monte Carlo assessment was carried out to evaluate the performance of the algorithm by using the input/output signal-to-noise ratio （SNR）. Five versions of SVD algorithms, namely 1 ） using all singular values, 2） using the top 80% singular values, 3） using the top 50% singular values, 4） using the top 20% singular values and 5） using singular values s such that S2≥/max（s2）/rinsNR were tested. The experimental results indicate that when the singular value threshold is set as Smax/（rinSNR）1/2, the super-resolution algorithm provides a good compromise between too much noise and too much bias and has good reconstruction results.展开更多
冷轧平整机的工作辊直接和带钢接触,其表面粗糙度衰减情况对带钢成品的板形和表面质量有重大影响。因此,分析轧辊磨损机制,对轧辊表面粗糙度的衰减进行精确预测十分必要。首先采用灰色关联度分析对影响平整机工作辊表面粗糙度磨损的因...冷轧平整机的工作辊直接和带钢接触,其表面粗糙度衰减情况对带钢成品的板形和表面质量有重大影响。因此,分析轧辊磨损机制,对轧辊表面粗糙度的衰减进行精确预测十分必要。首先采用灰色关联度分析对影响平整机工作辊表面粗糙度磨损的因素进行分析,确定了工作辊表面粗糙度评估指标体系。进而应用优化在线稀疏最小二乘支持向量回归模型对冷轧平整机的上工作辊表面粗糙度进行在线预测。通过预测误差准则实现系统的前向递推,采用FLOO(fast leave one out)的修剪算法实现其后向删减,并且采用最速下降法实现了2个超参数的在线优化。经过仿真研究表明,系统预测的绝对误差平均值为0.014 9,与其他方法相比具有明显的优越性,并且系统具有在线自适应的能力,能够随着时间而进化。展开更多
文摘The Kadison-Singer problem has variants in different branches of the sciences and one of these variants was proved in 2013. Based on the idea of “sparsification” and with its origins in quantum physics, at the sixtieth anniversary of the problem, we revisit the problem in its original formulation and also explore its transition to a result with wide ranging applications. We also describe how the notion of “sparsification” transcended various fields and how this notion led to resolution of the problem.
文摘The federated self-supervised framework is a distributed machine learning method that combines federated learning and self-supervised learning, which can effectively solve the problem of traditional federated learning being difficult to process large-scale unlabeled data. The existing federated self-supervision framework has problems with low communication efficiency and high communication delay between clients and central servers. Therefore, we added edge servers to the federated self-supervision framework to reduce the pressure on the central server caused by frequent communication between both ends. A communication compression scheme using gradient quantization and sparsification was proposed to optimize the communication of the entire framework, and the algorithm of the sparse communication compression module was improved. Experiments have proved that the learning rate changes of the improved sparse communication compression module are smoother and more stable. Our communication compression scheme effectively reduced the overall communication overhead.
基金Project(2008041001) supported by the Academician Foundation of China Project(N0601-041) supported by the General Armament Department Science Foundation of China
文摘A super-resolution reconstruction approach of （SVD） technique was presented, and its performance was radar image using an adaptive-threshold singular value decomposition analyzed, compared and assessed detailedly. First, radar imaging model and super-resolution reconstruction mechanism were outlined. Then, the adaptive-threshold SVD super-resolution algorithm, and its two key aspects, namely the determination method of point spread function （PSF） matrix T and the selection scheme of singular value threshold, were presented. Finally, the super-resolution algorithm was demonstrated successfully using the measured synthetic-aperture radar （SAR） images, and a Monte Carlo assessment was carried out to evaluate the performance of the algorithm by using the input/output signal-to-noise ratio （SNR）. Five versions of SVD algorithms, namely 1 ） using all singular values, 2） using the top 80% singular values, 3） using the top 50% singular values, 4） using the top 20% singular values and 5） using singular values s such that S2≥/max（s2）/rinsNR were tested. The experimental results indicate that when the singular value threshold is set as Smax/（rinSNR）1/2, the super-resolution algorithm provides a good compromise between too much noise and too much bias and has good reconstruction results.
文摘冷轧平整机的工作辊直接和带钢接触,其表面粗糙度衰减情况对带钢成品的板形和表面质量有重大影响。因此,分析轧辊磨损机制,对轧辊表面粗糙度的衰减进行精确预测十分必要。首先采用灰色关联度分析对影响平整机工作辊表面粗糙度磨损的因素进行分析,确定了工作辊表面粗糙度评估指标体系。进而应用优化在线稀疏最小二乘支持向量回归模型对冷轧平整机的上工作辊表面粗糙度进行在线预测。通过预测误差准则实现系统的前向递推,采用FLOO(fast leave one out)的修剪算法实现其后向删减,并且采用最速下降法实现了2个超参数的在线优化。经过仿真研究表明,系统预测的绝对误差平均值为0.014 9,与其他方法相比具有明显的优越性,并且系统具有在线自适应的能力,能够随着时间而进化。
