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Residual neural networks can be viewed as the forward Euler discretization of an Ordinary Differential Equation (ODE) with a unit time step. This has recently motivated researchers to explore other discretization approaches and train ODE…

机器学习 · 计算机科学 2019-07-02 Amir Gholami , Kurt Keutzer , George Biros

Although recent years have witnessed significant advancements in medical image segmentation, the pervasive issue of domain shift among medical images from diverse centres hinders the effective deployment of pre-trained models. Many…

计算机视觉与模式识别 · 计算机科学 2024-12-30 Ziyang Chen , Yiwen Ye , Yongsheng Pan , Yong Xia

The inverse problem of supervised reconstruction of depth-variable (time-dependent) parameters in a neural ordinary differential equation (NODE) is considered, that means finding the weights of a residual network with time continuous…

机器学习 · 计算机科学 2022-02-14 George Baravdish , Gabriel Eilertsen , Rym Jaroudi , B. Tomas Johansson , Lukáš Malý , Jonas Unger

This paper studies a class of adaptive gradient based momentum algorithms that update the search directions and learning rates simultaneously using past gradients. This class, which we refer to as the "Adam-type", includes the popular…

机器学习 · 计算机科学 2019-03-12 Xiangyi Chen , Sijia Liu , Ruoyu Sun , Mingyi Hong

Stochastic gradient descent (SGD) and its many variants are the widespread optimization algorithms for training deep neural networks. However, SGD suffers from inevitable drawbacks, including vanishing gradients, lack of theoretical…

机器学习 · 计算机科学 2024-01-09 Zeinab Ebrahimi , Gustavo Batista , Mohammad Deghat

Adaptive algorithms like AdaGrad and AMSGrad are successful in nonconvex optimization owing to their parameter-agnostic ability -- requiring no a priori knowledge about problem-specific parameters nor tuning of learning rates. However, when…

最优化与控制 · 数学 2022-10-17 Junchi Yang , Xiang Li , Niao He

Adaptive gradient methods, especially Adam-type methods (such as Adam, AMSGrad, and AdaBound), have been proposed to speed up the training process with an element-wise scaling term on learning rates. However, they often generalize poorly…

机器学习 · 计算机科学 2021-07-20 Zhou Shao , Tong Lin

This paper introduces a new activation checkpointing method which allows to significantly decrease memory usage when training Deep Neural Networks with the back-propagation algorithm. Similarly to checkpoint-ing techniques coming from the…

机器学习 · 计算机科学 2019-12-02 Julien Herrmann , Olivier Beaumont , Lionel Eyraud-Dubois , Julien Hermann , Alexis Joly , Alena Shilova

We study adaptive methods for differentially private convex optimization, proposing and analyzing differentially private variants of a Stochastic Gradient Descent (SGD) algorithm with adaptive stepsizes, as well as the AdaGrad algorithm. We…

机器学习 · 计算机科学 2021-06-28 Hilal Asi , John Duchi , Alireza Fallah , Omid Javidbakht , Kunal Talwar

Image retrieval aims to identify visually similar images within a database using a given query image. Traditional methods typically employ both global and local features extracted from images for matching, and may also apply re-ranking…

计算机视觉与模式识别 · 计算机科学 2024-05-29 Sihe Zhang , Qingdong He , Jinlong Peng , Yuxi Li , Zhengkai Jiang , Jiafu Wu , Mingmin Chi , Yabiao Wang , Chengjie Wang

In this work, we propose a novel layerwise adaptive construction method for neural network architectures. Our approach is based on a goal--oriented dual-weighted residual technique for the optimal control of neural differential equations.…

最优化与控制 · 数学 2026-01-13 Michael Hintermüller , Michael Hinze , Denis Korolev

We provide new adaptive first-order methods for constrained convex optimization. Our main algorithms AdaACSA and AdaAGD+ are accelerated methods, which are universal in the sense that they achieve nearly-optimal convergence rates for both…

机器学习 · 计算机科学 2021-02-17 Alina Ene , Huy L. Nguyen , Adrian Vladu

This article introduces the multi-objective adaptive order Caputo fractional gradient descent (MOAOCFGD) algorithm for solving unconstrained multi-objective problems. The proposed method performs equally well for both smooth and non-smooth…

最优化与控制 · 数学 2025-07-11 Barsha Shaw , Md Abu Talhamainuddin Ansary

In this paper, we propose a 2-stage low-light image enhancement method called Self-Reference Deep Adaptive Curve Estimation (Self-DACE). In the first stage, we present an intuitive, lightweight, fast, and unsupervised luminance enhancement…

图像与视频处理 · 电气工程与系统科学 2023-09-12 Jianyu Wen , Chenhao Wu , Tong Zhang , Yixuan Yu , Piotr Swierczynski

In this work, we present an adjoint-based method for discovering the underlying governing partial differential equations (PDEs) given data. The idea is to consider a parameterized PDE in a general form and formulate a PDE-constrained…

最优化与控制 · 数学 2025-09-23 Mohsen Sadr , Tony Tohme , Kamal Youcef-Toumi

This paper considers the problem of distributed model fitting using the alternating directions method of multipliers (ADMM). ADMM splits the learning problem into several smaller subproblems, usually by partitioning the data samples. The…

最优化与控制 · 数学 2022-03-04 Dinesh Krishnamoorthy , Vyacheslav Kungurtsev

Distributed model training suffers from communication bottlenecks due to frequent model updates transmitted across compute nodes. To alleviate these bottlenecks, practitioners use gradient compression techniques like sparsification,…

机器学习 · 计算机科学 2020-11-02 Saurabh Agarwal , Hongyi Wang , Kangwook Lee , Shivaram Venkataraman , Dimitris Papailiopoulos

Machine learning models often suffer from catastrophic forgetting of previously learned knowledge when learning new classes. Various methods have been proposed to mitigate this issue. However, rehearsal-based learning, which retains samples…

机器学习 · 计算机科学 2024-10-10 Hossein Rezaei , Mohammad Sabokrou

Training Artificial Neural Networks poses a challenging and critical problem in machine learning. Despite the effectiveness of gradient-based learning methods, such as Stochastic Gradient Descent (SGD), in training neural networks, they do…

Highly distributed training of Deep Neural Networks (DNNs) on future compute platforms (offering 100 of TeraOps/s of computational capacity) is expected to be severely communication constrained. To overcome this limitation, new gradient…

机器学习 · 计算机科学 2017-12-08 Chia-Yu Chen , Jungwook Choi , Daniel Brand , Ankur Agrawal , Wei Zhang , Kailash Gopalakrishnan