Search Results for author: Yuxin Dong

Found 7 papers, 2 papers with code

Understanding the Generalization Ability of Deep Learning Algorithms: A Kernelized Renyi's Entropy Perspective

1 code implementation2 May 2023 Yuxin Dong, Tieliang Gong, Hong Chen, Chen Li

However, the current generalization error bounds within this framework are still far from optimal, while substantial improvements on these bounds are quite challenging due to the intractability of high-dimensional information quantities.

Robust and Fast Measure of Information via Low-rank Representation

1 code implementation30 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.

Computational Efficiency

Optimal Randomized Approximations for Matrix based Renyi's Entropy

no code implementations16 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.

Density Estimation

Computationally Efficient Approximations for Matrix-based Renyi's Entropy

no code implementations27 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.

Markov subsampling based Huber Criterion

no code implementations12 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.

Regularized Modal Regression on Markov-dependent Observations: A Theoretical Assessment

no code implementations9 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.

Learning Theory regression

OpenHI2 -- Open source histopathological image platform

no code implementations15 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.

Cloud Computing

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