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The incremental aggregated gradient algorithm is popular in network optimization and machine learning research. However, the current convergence results require the objective function to be strongly convex. And the existing convergence…

最优化与控制 · 数学 2019-10-14 Tao Sun , Yuejiao Sun , Dongsheng Li , Qing Liao

Characterizing precisely the asymptotic generalization error of neural networks using parameters that can be estimated efficiently is a crucial problem in machine learning, which relies heavily on heuristics and practitioners' intuition to…

Adaptive gradient methods are typically used for training over-parameterized models. To better understand their behaviour, we study a simplistic setting -- smooth, convex losses with models over-parameterized enough to interpolate the data.…

机器学习 · 计算机科学 2021-02-22 Sharan Vaswani , Issam Laradji , Frederik Kunstner , Si Yi Meng , Mark Schmidt , Simon Lacoste-Julien

In this paper we present several architectural and optimization recipes for generative adversarial network(GAN) based facial semantic inpainting. Current benchmark models are susceptible to initial solutions of non-convex optimization…

计算机视觉与模式识别 · 计算机科学 2024-10-30 Avisek Lahiri , Arnav Jain , Divyasri Nadendla , Prabir Kumar Biswas

Research on generalization bounds for deep networks seeks to give ways to predict test error using just the training dataset and the network parameters. While generalization bounds can give many insights about architecture design, training…

机器学习 · 计算机科学 2022-03-21 Yi Zhang , Arushi Gupta , Nikunj Saunshi , Sanjeev Arora

In topology optimization using deep learning, load and boundary conditions represented as vectors or sparse matrices often miss the opportunity to encode a rich view of the design problem, leading to less than ideal generalization results.…

计算工程、金融与科学 · 计算机科学 2020-03-12 Zhenguo Nie , Tong Lin , Haoliang Jiang , Levent Burak Kara

Distributed coevolutionary Generative Adversarial Network (GAN) training has empirically shown success in overcoming GAN training pathologies. This is mainly due to diversity maintenance in the populations of generators and discriminators…

神经与进化计算 · 计算机科学 2020-08-05 Jamal Toutouh , Erik Hemberg , Una-May O'Reilly

Generative Adversarial Networks (GANs) have achieved a great success in unsupervised learning. Despite its remarkable empirical performance, there are limited theoretical studies on the statistical properties of GANs. This paper provides…

机器学习 · 计算机科学 2022-07-22 Minshuo Chen , Wenjing Liao , Hongyuan Zha , Tuo Zhao

In this paper, we propose an ensemble learning algorithm called \textit{under-bagging $k$-nearest neighbors} (\textit{under-bagging $k$-NN}) for imbalanced classification problems. On the theoretical side, by developing a new learning…

机器学习 · 统计学 2021-09-03 Hanyuan Hang , Yuchao Cai , Hanfang Yang , Zhouchen Lin

We develop a new framework for generalizing approximation algorithms from the structural graph algorithm literature so that they apply to graphs somewhat close to that class (a scenario we expect is common when working with real-world…

Generative Adversarial Networks (GANs) have shown immense potential in fields such as text and image generation. Only very recently attempts to exploit GANs to statistical-mechanics models have been reported. Here we quantitatively test…

统计力学 · 物理学 2024-05-07 Daniele Lanzoni , Olivier Pierre-Louis , Francesco Montalenti

We investigate convergence of the expectation maximization algorithm by representing it as a generalized proximal method. Convergence of iterates and not just in value is investigated under natural hypotheses such as definability of the…

统计理论 · 数学 2026-01-06 Dominikus Noll

In this paper, we study the convergence properties of an iterative algorithm for fast nonlinear model predictive control of quasi-linear parameter-varying systems without inequality constraints. Compared to previous works considering this…

最优化与控制 · 数学 2023-09-15 Christian Hespe , Herbert Werner

Graph convolutional networks (GCNs) are powerful deep neural networks for graph-structured data. However, GCN computes the representation of a node recursively from its neighbors, making the receptive field size grow exponentially with the…

机器学习 · 统计学 2018-03-02 Jianfei Chen , Jun Zhu , Le Song

With the development of deep learning, the single super-resolution image reconstruction network models are becoming more and more complex. Small changes in hyperparameters of the models have a greater impact on model performance. In the…

计算机视觉与模式识别 · 计算机科学 2021-06-14 Yibo Guo , Haidi Wang , Yiming Fan , Shunyao Li , Mingliang Xu

We propose a novel method for solving regression tasks using few-shot or weak supervision. At the core of our method is the fundamental observation that GANs are incredibly successful at encoding semantic information within their latent…

计算机视觉与模式识别 · 计算机科学 2021-07-26 Yotam Nitzan , Rinon Gal , Ofir Brenner , Daniel Cohen-Or

We propose a unified signal compression framework that uses a generative adversarial network (GAN) to compress heterogeneous signals. The compressed signal is represented as a latent vector and fed into a generator network that is trained…

信号处理 · 电气工程与系统科学 2021-09-24 Bowen Liu , Changwoo Lee , Ang Cao , Hun-Seok Kim

Recently popularized graph neural networks achieve the state-of-the-art accuracy on a number of standard benchmark datasets for graph-based semi-supervised learning, improving significantly over existing approaches. These architectures…

机器学习 · 统计学 2018-03-13 Kiran K. Thekumparampil , Chong Wang , Sewoong Oh , Li-Jia Li

Many applications in machine learning can be framed as minimization problems and solved efficiently using gradient-based techniques. However, recent applications of generative models, particularly GANs, have triggered interest in solving…

机器学习 · 计算机科学 2021-03-24 Paulina Grnarova , Yannic Kilcher , Kfir Y. Levy , Aurelien Lucchi , Thomas Hofmann

An important class of distance metrics proposed for training generative adversarial networks (GANs) is the integral probability metric (IPM), in which the neural net distance captures the practical GAN training via two neural networks. This…

机器学习 · 计算机科学 2018-11-06 Kaiyi Ji , Yingbin Liang
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