1 code implementation • 30 Nov 2022 • Yuxin Dong, Tieliang Gong, Shujian Yu, Hong Chen, Chen Li
The matrix-based R\'enyi's entropy allows us to directly quantify information measures from given data, without explicit estimation of the underlying probability distribution.
no code implementations • 16 May 2022 • Yuxin Dong, Tieliang Gong, Shujian Yu, Chen Li
The Matrix-based Renyi's entropy enables us to directly measure information quantities from given data without the costly probability density estimation of underlying distributions, thus has been widely adopted in numerous statistical learning and inference tasks.
no code implementations • 27 Dec 2021 • Tieliang Gong, Yuxin Dong, Shujian Yu, Bo Dong
The recently developed matrix based Renyi's entropy enables measurement of information in data simply using the eigenspectrum of symmetric positive semi definite (PSD) matrices in reproducing kernel Hilbert space, without estimation of the underlying data distribution.
no code implementations • 12 Dec 2021 • Tieliang Gong, Yuxin Dong, Hong Chen, Bo Dong, Chen Li
Subsampling is an important technique to tackle the computational challenges brought by big data.
no code implementations • 9 Dec 2021 • Tielang Gong, Yuxin Dong, Hong Chen, Bo Dong, Wei Feng, Chen Li
Our results show that the Markov dependence impacts on the generalization error in the way that sample size would be discounted by a multiplicative factor depending on the spectral gap of underlying Markov chain.
no code implementations • 15 Jan 2020 • Pargorn Puttapirat, Haichuan Zhang, Jingyi Deng, Yuxin Dong, Jiangbo Shi, Hongyu He, Zeyu Gao, Chunbao Wang, Xiangrong Zhang, Chen Li
Transition from conventional to digital pathology requires a new category of biomedical informatic infrastructure which could facilitate delicate pathological routine.