Search Results for author: Jun Fan

Found 12 papers, 0 papers with code

Nonlinear functional regression by functional deep neural network with kernel embedding

no code implementations5 Jan 2024 Zhongjie Shi, Jun Fan, Linhao Song, Ding-Xuan Zhou, Johan A. K. Suykens

With the rapid development of deep learning in various fields of science and technology, such as speech recognition, image classification, and natural language processing, recently it is also widely applied in the functional data analysis (FDA) with some empirical success.

Dimensionality Reduction Image Classification +3

Distributed Gradient Descent for Functional Learning

no code implementations12 May 2023 Zhan Yu, Jun Fan, Ding-Xuan Zhou

In recent years, different types of distributed learning schemes have received increasing attention for their strong advantages in handling large-scale data information.

Approximation of Nonlinear Functionals Using Deep ReLU Networks

no code implementations10 Apr 2023 Linhao Song, Jun Fan, Di-Rong Chen, Ding-Xuan Zhou

In recent years, functional neural networks have been proposed and studied in order to approximate nonlinear continuous functionals defined on $L^p([-1, 1]^s)$ for integers $s\ge1$ and $1\le p<\infty$.

PILE: Pairwise Iterative Logits Ensemble for Multi-Teacher Labeled Distillation

no code implementations11 Nov 2022 Lianshang Cai, Linhao Zhang, Dehong Ma, Jun Fan, Daiting Shi, Yi Wu, Zhicong Cheng, Simiu Gu, Dawei Yin

In this paper, we focus on two key questions in knowledge distillation for ranking models: 1) how to ensemble knowledge from multi-teacher; 2) how to utilize the label information of data in the distillation process.

Knowledge Distillation

Optimal prediction for kernel-based semi-functional linear regression

no code implementations29 Oct 2021 Keli Guo, Jun Fan, Lixing Zhu

In this paper, we establish minimax optimal rates of convergence for prediction in a semi-functional linear model that consists of a functional component and a less smooth nonparametric component.

regression

A q-binomial extension of the CRR asset pricing model

no code implementations20 Apr 2021 Jean-Christophe Breton, Youssef El-Khatib, Jun Fan, Nicolas Privault

We propose an extension of the Cox-Ross-Rubinstein (CRR) model based on $q$-binomial (or Kemp) random walks, with application to default with logistic failure rates.

Long Short-Term Memory Neuron Equalizer

no code implementations27 Oct 2020 ZiHao Wang, Zhifei Xu, Jiayi He, Chulsoon Hwang, Jun Fan, Hervé Delingette

In this work we propose a neuromorphic hardware based signal equalizer by based on the deep learning implementation.

Comparison theorems on large-margin learning

no code implementations13 Aug 2019 Jun Fan, Dao-Hong Xiang

This paper studies binary classification problem associated with a family of loss functions called large-margin unified machines (LUM), which offers a natural bridge between distribution-based likelihood approaches and margin-based approaches.

Binary Classification

Solving Poisson's Equation using Deep Learning in Particle Simulation of PN Junction

no code implementations24 Oct 2018 Zhongyang Zhang, Ling Zhang, Ze Sun, Nicholas Erickson, Ryan From, Jun Fan

Simulating the dynamic characteristics of a PN junction at the microscopic level requires solving the Poisson's equation at every time step.

A Statistical Learning Approach to Modal Regression

no code implementations20 Feb 2017 Yunlong Feng, Jun Fan, Johan A. K. Suykens

However, it outperforms these regression models in terms of robustness as shown in our study from a re-descending M-estimation view.

regression

Consistency Analysis of an Empirical Minimum Error Entropy Algorithm

no code implementations17 Dec 2014 Jun Fan, Ting Hu, Qiang Wu, Ding-Xuan Zhou

The error entropy consistency, which requires the error entropy of the learned function to approximate the minimum error entropy, is shown to be always true if the bandwidth parameter tends to 0 at an appropriate rate.

regression

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