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Second-order methods are provably faster than first-order methods, and their efficient implementations for large-scale optimization problems have attracted significant attention. Yet, optimization problems in ML often have nonsmooth…

最优化与控制 · 数学 2026-02-10 Amal Alphonse , Pavel Dvurechensky , Clemens Sirotenko

In this work we study a Hebbian neural network, where neurons are arranged according to a hierarchical architecture such that their couplings scale with their reciprocal distance. As a full statistical mechanics solution is not yet…

无序系统与神经网络 · 物理学 2016-01-26 Elena Agliari , Adriano Barra , Andrea Galluzzi , Francesco Guerra , Daniele Tantari , Flavia Tavani

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

机器学习 · 计算机科学 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu

In this paper, we generalize (accelerated) Newton's method with cubic regularization under inexact second-order information for (strongly) convex optimization problems. Under mild assumptions, we provide global rate of convergence of these…

最优化与控制 · 数学 2017-10-17 Saeed Ghadimi , Han Liu , Tong Zhang

The increasing complexity of modern deep neural network models and the expanding sizes of datasets necessitate the development of optimized and scalable training methods. In this white paper, we addressed the challenge of efficiently…

机器学习 · 计算机科学 2024-04-29 Raphael Ruschel , A. S. M. Iftekhar , B. S. Manjunath , Suya You

Deep neural networks with lots of parameters are typically used for large-scale computer vision tasks such as image classification. This is a result of using dense matrix multiplications and convolutions. However, sparse computations are…

计算机视觉与模式识别 · 计算机科学 2016-11-22 Suraj Srinivas , Akshayvarun Subramanya , R. Venkatesh Babu

We present scalable hybrid-parallel algorithms for training large-scale 3D convolutional neural networks. Deep learning-based emerging scientific workflows often require model training with large, high-dimensional samples, which can make…

分布式、并行与集群计算 · 计算机科学 2020-07-28 Yosuke Oyama , Naoya Maruyama , Nikoli Dryden , Erin McCarthy , Peter Harrington , Jan Balewski , Satoshi Matsuoka , Peter Nugent , Brian Van Essen

Conditional Neural Processes (CNP; Garnelo et al., 2018) are an attractive family of meta-learning models which produce well-calibrated predictions, enable fast inference at test time, and are trainable via a simple maximum likelihood…

机器学习 · 计算机科学 2021-10-19 Stratis Markou , James Requeima , Wessel Bruinsma , Richard Turner

Convolutional neural networks show outstanding results in a variety of computer vision tasks. However, a neural network architecture design usually faces a trade-off between model performance and computational/memory complexity. For some…

计算机视觉与模式识别 · 计算机科学 2020-06-12 Pavel Kaloshin

In this survey paper, we review recent uses of convolution neural networks (CNNs) to solve inverse problems in imaging. It has recently become feasible to train deep CNNs on large databases of images, and they have shown outstanding…

图像与视频处理 · 电气工程与系统科学 2018-09-11 Michael T. McCann , Kyong Hwan Jin , Michael Unser

Pseudo-Hamiltonian neural networks (PHNN) were recently introduced for learning dynamical systems that can be modelled by ordinary differential equations. In this paper, we extend the method to partial differential equations. The resulting…

机器学习 · 计算机科学 2024-01-03 Sølve Eidnes , Kjetil Olsen Lye

The prevalent approach to sequence to sequence learning maps an input sequence to a variable length output sequence via recurrent neural networks. We introduce an architecture based entirely on convolutional neural networks. Compared to…

计算与语言 · 计算机科学 2017-07-26 Jonas Gehring , Michael Auli , David Grangier , Denis Yarats , Yann N. Dauphin

Deep learning models are yielding increasingly better performances thanks to multiple factors. To be successful, model may have large number of parameters or complex architectures and be trained on large dataset. This leads to large…

机器学习 · 计算机科学 2022-12-20 Jean-Roch Vlimant , Junqi Yin

Artificial Intelligence algorithms have been steadily increasing in popularity and usage. Deep Learning, allows neural networks to be trained using huge datasets and also removes the need for human extracted features, as it automates the…

神经与进化计算 · 计算机科学 2020-05-11 Vasco Lopes , Paulo Fazendeiro

Quantum neural networks represent a new machine learning paradigm that has recently attracted much attention due to its potential promise. Under certain conditions, these models approximate the distribution of their dataset with a truncated…

量子物理 · 物理学 2023-11-02 Mo Kordzanganeh , Daria Kosichkina , Alexey Melnikov

We have developed convolutional neural networks (CNN) for a facial expression recognition task. The goal is to classify each facial image into one of the seven facial emotion categories considered in this study. We trained CNN models with…

计算机视觉与模式识别 · 计算机科学 2017-04-25 Shima Alizadeh , Azar Fazel

Optimization problems, arise in many practical applications, from the view points of both theory and numerical methods. Especially, significant improvement in deep learning training came from the Quasi-Newton methods. Quasi-Newton search…

最优化与控制 · 数学 2024-11-19 Jiongcheng Li

Deep convolutional neural networks (CNNs) have shown excellent performance in object recognition tasks and dense classification problems such as semantic segmentation. However, training deep neural networks on large and sparse datasets is…

计算机视觉与模式识别 · 计算机科学 2017-12-25 Lorenz Berger , Eoin Hyde , M. Jorge Cardoso , Sebastien Ourselin

Deep learning architectures are showing great promise in various computer vision domains including image classification, object detection, event detection and action recognition. In this study, we investigate various aspects of…

计算机视觉与模式识别 · 计算机科学 2016-08-08 Hilal Ergun , Mustafa Sert

Computational cost of training state-of-the-art deep models in many learning problems is rapidly increasing due to more sophisticated models and larger datasets. A recent promising direction for reducing training cost is dataset…

机器学习 · 计算机科学 2022-12-23 Bo Zhao , Hakan Bilen