Search Results for author: Yuantao Gu

Found 22 papers, 4 papers with code

EPA: Neural Collapse Inspired Robust Out-of-Distribution Detector

no code implementations3 Jan 2024 Jiawei Zhang, Yufan Chen, Cheng Jin, Lei Zhu, Yuantao Gu

Out-of-distribution (OOD) detection plays a crucial role in ensuring the security of neural networks.

Out of Distribution (OOD) Detection

Unravel Anomalies: An End-to-end Seasonal-Trend Decomposition Approach for Time Series Anomaly Detection

1 code implementation30 Sep 2023 Zhenwei Zhang, Ruiqi Wang, Ran Ding, Yuantao Gu

Traditional Time-series Anomaly Detection (TAD) methods often struggle with the composite nature of complex time-series data and a diverse array of anomalies.

Anomaly Detection Time Series +1

Linear Speedup of Incremental Aggregated Gradient Methods on Streaming Data

no code implementations10 Sep 2023 Xiaolu Wang, Cheng Jin, Hoi-To Wai, Yuantao Gu

This paper considers a type of incremental aggregated gradient (IAG) method for large-scale distributed optimization.

Distributed Optimization

Unlocking the Potential of Deep Learning in Peak-Hour Series Forecasting

1 code implementation4 Jul 2023 Zhenwei Zhang, Xin Wang, Jingyuan Xie, Heling Zhang, Yuantao Gu

Unlocking the potential of deep learning in Peak-Hour Series Forecasting (PHSF) remains a critical yet underexplored task in various domains.

Time Series Time Series Forecasting

SageFormer: Series-Aware Framework for Long-term Multivariate Time Series Forecasting

1 code implementation4 Jul 2023 Zhenwei Zhang, Linghang Meng, Yuantao Gu

To bridge this gap, this paper introduces a novel series-aware framework, explicitly designed to emphasize the significance of such dependencies.

Multivariate Time Series Forecasting Time Series

Provable Identifiability of ReLU Neural Networks via Lasso Regularization

no code implementations29 Sep 2021 Gen Li, Ganghua Wang, Yuantao Gu, Jie Ding

In this paper, the territory of LASSO is extended to the neural network model, a fashionable and powerful nonlinear regression model.

regression Variable Selection

Sample-Efficient Reinforcement Learning Is Feasible for Linearly Realizable MDPs with Limited Revisiting

no code implementations NeurIPS 2021 Gen Li, Yuxin Chen, Yuejie Chi, Yuantao Gu, Yuting Wei

The current paper pertains to a scenario with value-based linear representation, which postulates the linear realizability of the optimal Q-function (also called the "linear $Q^{\star}$ problem").

reinforcement-learning Reinforcement Learning (RL)

THE EFFICACY OF L1 REGULARIZATION IN NEURAL NETWORKS

no code implementations1 Jan 2021 Gen Li, Yuantao Gu, Jie Ding

A crucial problem in neural networks is to select the most appropriate number of hidden neurons and obtain tight statistical risk bounds.

The Efficacy of $L_1$ Regularization in Two-Layer Neural Networks

no code implementations2 Oct 2020 Gen Li, Yuantao Gu, Jie Ding

A crucial problem in neural networks is to select the most appropriate number of hidden neurons and obtain tight statistical risk bounds.

Vocal Bursts Valence Prediction

Sample Complexity of Asynchronous Q-Learning: Sharper Analysis and Variance Reduction

no code implementations NeurIPS 2020 Gen Li, Yuting Wei, Yuejie Chi, Yuantao Gu, Yuxin Chen

Focusing on a $\gamma$-discounted MDP with state space $\mathcal{S}$ and action space $\mathcal{A}$, we demonstrate that the $\ell_{\infty}$-based sample complexity of classical asynchronous Q-learning --- namely, the number of samples needed to yield an entrywise $\varepsilon$-accurate estimate of the Q-function --- is at most on the order of $\frac{1}{\mu_{\min}(1-\gamma)^5\varepsilon^2}+ \frac{t_{mix}}{\mu_{\min}(1-\gamma)}$ up to some logarithmic factor, provided that a proper constant learning rate is adopted.

Q-Learning

Grid-less Variational Direction of Arrival Estimation in Heteroscedastic Noise Environment

no code implementations26 Dec 2019 Qi Zhang, Jiang Zhu, Yuantao Gu, Zhiwei Xu

This paper studies DOA in heteroscedastic noise (HN) environment, where the variance of noise is varied across the snapshots and the antennas.

Direction of Arrival Estimation

Theory of Spectral Method for Union of Subspaces-Based Random Geometry Graph

no code implementations25 Jul 2019 Gen Li, Yuantao Gu

Spectral Method is a commonly used scheme to cluster data points lying close to Union of Subspaces by first constructing a Random Geometry Graph, called Subspace Clustering.

Clustering

Compressed Subspace Learning Based on Canonical Angle Preserving Property

no code implementations14 Jul 2019 Yuchen Jiao, Gen Li, Yuantao Gu

In this paper, we prove that random projection with the so-called Johnson-Lindenstrauss (JL) property approximately preserves canonical angles between subspaces with overwhelming probability.

Clustering Dimensionality Reduction

Unraveling the Veil of Subspace RIP Through Near-Isometry on Subspaces

no code implementations23 May 2019 Xingyu Xv, Gen Li, Yuantao Gu

Subspace Restricted Isometry Property, a newly-proposed concept, has proved to be a useful tool in analyzing the effect of dimensionality reduction algorithms on subspaces.

Clustering Dimensionality Reduction

Rigorous Restricted Isometry Property of Low-Dimensional Subspaces

no code implementations30 Jan 2018 Gen Li, Qinghua Liu, Yuantao Gu

As an analogy to JL Lemma and RIP for sparse vectors, this work allows the use of random projections to reduce the ambient dimension with the theoretical guarantee that the distance between subspaces after compression is well preserved.

Dimensionality Reduction LEMMA

Linear Convergence of An Iterative Phase Retrieval Algorithm with Data Reuse

no code implementations5 Dec 2017 Gen Li, Yuchen Jiao, Yuantao Gu

In this work, we study for the first time, without the independence assumption, the convergence behavior of the randomized Kaczmarz method for phase retrieval.

Retrieval

Active Orthogonal Matching Pursuit for Sparse Subspace Clustering

no code implementations16 Aug 2017 Yanxi Chen, Gen Li, Yuantao Gu

In this letter, we propose a novel Active OMP-SSC, which improves clustering accuracy of OMP-SSC by adaptively updating data points and randomly dropping data points in the OMP process, while still enjoying the low computational complexity of greedy pursuit algorithms.

Clustering

Nonconvex Sparse Logistic Regression with Weakly Convex Regularization

no code implementations7 Aug 2017 Xinyue Shen, Yuantao Gu

In this work we propose to fit a sparse logistic regression model by a weakly convex regularized nonconvex optimization problem.

regression

Restricted Isometry Property of Gaussian Random Projection for Finite Set of Subspaces

no code implementations7 Apr 2017 Gen Li, Yuantao Gu

Dimension reduction plays an essential role when decreasing the complexity of solving large-scale problems.

Clustering Dimensionality Reduction +1

Disciplined Multi-Convex Programming

3 code implementations12 Sep 2016 Xinyue Shen, Steven Diamond, Madeleine Udell, Yuantao Gu, Stephen Boyd

A multi-convex optimization problem is one in which the variables can be partitioned into sets over which the problem is convex when the other variables are fixed.

Optimization and Control

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