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Graph neural networks (GNNs) manifest pathologies including over-smoothing and limited discriminating power as a result of suboptimally expressive aggregating mechanisms. We herein present a unifying framework for stochastic aggregation…

Machine Learning · Statistics 2021-03-01 Yuanqing Wang , Theofanis Karaletsos

This paper considers convex optimization problems where nodes of a network have access to summands of a global objective. Each of these local objectives is further assumed to be an average of a finite set of functions. The motivation for…

Optimization and Control · Mathematics 2015-06-16 Aryan Mokhtari , Alejandro Ribeiro

Generative Adversarial Networks (GANs) are an unsupervised generative model that learns data distribution through adversarial training. However, recent experiments indicated that GANs are difficult to train due to the requirement of…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Wenliang Qian , Yang Xu , Wangmeng Zuo , Hui Li

This paper investigates the stochastic optimization problem with a focus on developing scalable parallel algorithms for deep learning tasks. Our solution involves a reformation of the objective function for stochastic optimization in neural…

Machine Learning · Computer Science 2020-04-09 Pengzhan Guo , Zeyang Ye , Keli Xiao , Wei Zhu

Adversarial images are designed to mislead deep neural networks (DNNs), attracting great attention in recent years. Although several defense strategies achieved encouraging robustness against adversarial samples, most of them fail to…

Machine Learning · Computer Science 2020-02-25 Hang Yu , Aishan Liu , Xianglong Liu , Gengchao Li , Ping Luo , Ran Cheng , Jichen Yang , Chongzhi Zhang

We study a new aggregation operator for gradients coming from a mini-batch for stochastic gradient (SG) methods that allows a significant speed-up in the case of sparse optimization problems. We call this method AdaBatch and it only…

Machine Learning · Computer Science 2017-11-07 Alexandre Défossez , Francis Bach

Recent work on adversarial attack has shown that Projected Gradient Descent (PGD) Adversary is a universal first-order adversary, and the classifier adversarially trained by PGD is robust against a wide range of first-order attacks. It is…

Machine Learning · Computer Science 2018-12-07 Tianhang Zheng , Changyou Chen , Kui Ren

The existence of adversarial examples brings huge concern for people to apply Deep Neural Networks (DNNs) in safety-critical tasks. However, how to generate adversarial examples with categorical data is an important problem but lack of…

Machine Learning · Computer Science 2023-11-08 Han Xu , Pengfei He , Jie Ren , Yuxuan Wan , Zitao Liu , Hui Liu , Jiliang Tang

Generative Adversarial Networks (GANs) are a popular formulation to train generative models for complex high dimensional data. The standard method for training GANs involves a gradient descent-ascent (GDA) procedure on a minimax…

Machine Learning · Computer Science 2023-05-30 Evan Becker , Parthe Pandit , Sundeep Rangan , Alyson K. Fletcher

Gradient descent algorithm is the most utilized method when optimizing machine learning issues. However, there exists many local minimums and saddle points in the loss function, especially for high dimensional non-convex optimization…

Machine Learning · Computer Science 2021-07-19 Zhicheng Cai

We analyse and explain the increased generalisation performance of iterate averaging using a Gaussian process perturbation model between the true and batch risk surface on the high dimensional quadratic. We derive three phenomena…

Machine Learning · Statistics 2021-11-02 Diego Granziol , Xingchen Wan , Samuel Albanie , Stephen Roberts

There exists many resource allocation problems in the field of wireless communications which can be formulated as the generalized assignment problems (GAP). GAP is a generic form of linear sum assignment problem (LSAP) and is more…

Machine Learning · Computer Science 2021-03-29 Arjun Kaushik , Mehrazin Alizadeh , Omer Waqar , Hina Tabassum

Recently, Generative Adversarial Networks (GANs) have demonstrated their potential in federated learning, i.e., learning a centralized model from data privately hosted by multiple sites. A federatedGAN jointly trains a centralized generator…

Machine Learning · Computer Science 2021-02-10 Yikai Zhang , Hui Qu , Qi Chang , Huidong Liu , Dimitris Metaxas , Chao Chen

Across various domains, the growing advocacy for open science and open-source machine learning has made an increasing number of models publicly available. These models allow practitioners to integrate them into their own contexts, reducing…

Machine Learning · Statistics 2025-01-31 Rui Duan

Generative Adversarial Networks (GANs) are one of the most popular tools for learning complex high dimensional distributions. However, generalization properties of GANs have not been well understood. In this paper, we analyze the…

Machine Learning · Computer Science 2019-02-12 Hoang Thanh-Tung , Truyen Tran , Svetha Venkatesh

Graph anomaly detection (GAD) is a vital task since even a few anomalies can pose huge threats to benign users. Recent semi-supervised GAD methods, which can effectively leverage the available labels as prior knowledge, have achieved…

Machine Learning · Computer Science 2023-06-21 Shuang Zhou , Xiao Huang , Ninghao Liu , Huachi Zhou , Fu-Lai Chung , Long-Kai Huang

Graph anomaly detection (GAD) is a vital task since even a few anomalies can pose huge threats to benign users. Recent semi-supervised GAD methods, which can effectively leverage the available labels as prior knowledge, have achieved…

Machine Learning · Computer Science 2023-07-25 Shuang Zhou , Xiao Huang , Ninghao Liu , Fu-Lai Chung , Long-Kai Huang

We consider a generic decentralized constrained optimization problem over static, directed communication networks, where each agent has exclusive access to only one convex, differentiable, local objective term and one convex constraint set.…

Optimization and Control · Mathematics 2023-11-09 Firooz Shahriari-Mehr , Ashkan Panahi

Generative adversarial networks (GANs) are designed with the help of min-max optimization problems that are solved with stochastic gradient-type algorithms which are known to be non-robust. In this work we revisit a non-adversarial method…

Machine Learning · Computer Science 2018-11-26 Kalliopi Basioti , George V. Moustakides , Emmanouil Z. Psarakis

One of the training strategies of generative models is to minimize the Jensen--Shannon divergence between the model distribution and the data distribution. Since data distribution is unknown, generative adversarial networks (GANs) formulate…

Machine Learning · Computer Science 2023-02-22 Hiroki Naganuma , Hideaki Iiduka