Search Results for author: Pengkun Yang

Found 10 papers, 1 papers with code

On the best approximation by finite Gaussian mixtures

no code implementations13 Apr 2024 Yun Ma, Yihong Wu, Pengkun Yang

We consider the problem of approximating a general Gaussian location mixture by finite mixtures.

Two Phases of Scaling Laws for Nearest Neighbor Classifiers

no code implementations16 Aug 2023 Pengkun Yang, Jingzhao Zhang

We show that a scaling law can have two phases: in the first phase, the generalization error depends polynomially on the data dimension and decreases fast; whereas in the second phase, the error depends exponentially on the data dimension and decreases slowly.

Federated Learning in the Presence of Adversarial Client Unavailability

no code implementations31 May 2023 Lili Su, Ming Xiang, Jiaming Xu, Pengkun Yang

Federated learning is a decentralized machine learning framework that enables collaborative model training without revealing raw data.

Federated Learning Selection bias

Global Convergence of Federated Learning for Mixed Regression

no code implementations15 Jun 2022 Lili Su, Jiaming Xu, Pengkun Yang

This paper studies the problem of model training under Federated Learning when clients exhibit cluster structure.

Federated Learning regression

Deep Active Learning with Noise Stability

no code implementations26 May 2022 Xingjian Li, Pengkun Yang, Yangcheng Gu, Xueying Zhan, Tianyang Wang, Min Xu, Chengzhong Xu

We provide theoretical analyses by leveraging the small Gaussian noise theory and demonstrate that our method favors a subset with large and diverse gradients.

Active Learning

Boosting Active Learning via Improving Test Performance

1 code implementation10 Dec 2021 Tianyang Wang, Xingjian Li, Pengkun Yang, Guosheng Hu, Xiangrui Zeng, Siyu Huang, Cheng-Zhong Xu, Min Xu

In this work, we explore such an impact by theoretically proving that selecting unlabeled data of higher gradient norm leads to a lower upper-bound of test loss, resulting in better test performance.

Active Learning Electron Tomography +2

A Non-parametric View of FedAvg and FedProx: Beyond Stationary Points

no code implementations29 Jun 2021 Lili Su, Jiaming Xu, Pengkun Yang

We discover that when the data heterogeneity is moderate, a client with limited local data can benefit from a common model with a large federation gain.

Federated Learning regression

Modeling from Features: a Mean-field Framework for Over-parameterized Deep Neural Networks

no code implementations3 Jul 2020 Cong Fang, Jason D. Lee, Pengkun Yang, Tong Zhang

This new representation overcomes the degenerate situation where all the hidden units essentially have only one meaningful hidden unit in each middle layer, and further leads to a simpler representation of DNNs, for which the training objective can be reformulated as a convex optimization problem via suitable re-parameterization.

Optimal estimation of high-dimensional location Gaussian mixtures

no code implementations14 Feb 2020 Natalie Doss, Yihong Wu, Pengkun Yang, Harrison H. Zhou

This paper studies the optimal rate of estimation in a finite Gaussian location mixture model in high dimensions without separation conditions.

4k Vocal Bursts Intensity Prediction

On Learning Over-parameterized Neural Networks: A Functional Approximation Perspective

no code implementations NeurIPS 2019 Lili Su, Pengkun Yang

When the network is sufficiently over-parameterized, these matrices individually approximate {\em an} integral operator which is determined by the feature vector distribution $\rho$ only.

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