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The paper proposes and justifies a new algorithm of the proximal Newton type to solve a broad class of nonsmooth composite convex optimization problems without strong convexity assumptions. Based on advanced notions and techniques of…

最优化与控制 · 数学 2022-03-02 Boris S. Mordukhovich , Xiaoming Yuan , Shangzhi Zeng , Jin Zhang

In this effort we propose a novel approach for reconstructing multivariate functions from training data, by identifying both a suitable network architecture and an initialization using polynomial-based approximations. Training deep neural…

机器学习 · 计算机科学 2019-05-29 Joseph Daws , Clayton G. Webster

We consider the problem of training a deep neural network with nonsmooth regularization to retrieve a sparse and efficient sub-structure. Our regularizer is only assumed to be lower semi-continuous and prox-bounded. We combine an adaptive…

机器学习 · 统计学 2022-06-20 Dounia Lakhmiri , Dominique Orban , Andrea Lodi

Structural pruning has become an integral part of neural network optimization, used to achieve architectural configurations which can be deployed and run more efficiently on embedded devices. Previous results showed that pruning is possible…

机器学习 · 计算机科学 2023-12-11 Bogdan Musat , Razvan Andonie

Compressing large Neural Networks (NN) by quantizing the parameters, while maintaining the performance is highly desirable due to reduced memory and time complexity. In this work, we cast NN quantization as a discrete labelling problem, and…

计算机视觉与模式识别 · 计算机科学 2019-08-21 Thalaiyasingam Ajanthan , Puneet K. Dokania , Richard Hartley , Philip H. S. Torr

Neural networks are highly effective tools for image reconstruction problems such as denoising and compressive sensing. To date, neural networks for image reconstruction are almost exclusively convolutional. The most popular architecture is…

计算机视觉与模式识别 · 计算机科学 2022-02-07 Youssef Mansour , Kang Lin , Reinhard Heckel

The highly non-linear nature of deep neural networks causes them to be susceptible to adversarial examples and have unstable gradients which hinders interpretability. However, existing methods to solve these issues, such as adversarial…

机器学习 · 计算机科学 2023-01-11 Suraj Srinivas , Kyle Matoba , Himabindu Lakkaraju , Francois Fleuret

Fast and precise Lipschitz constant estimation of neural networks is an important task for deep learning. Researchers have recently found an intrinsic trade-off between the accuracy and smoothness of neural networks, so training a network…

机器学习 · 计算机科学 2022-10-12 Zi Wang , Gautam Prakriya , Somesh Jha

Proximal Policy Optimization (PPO) is among the most widely used deep reinforcement learning algorithms, yet its theoretical foundations remain incomplete. Most importantly, convergence and understanding of fundamental PPO advantages remain…

Tight estimation of the Lipschitz constant for deep neural networks (DNNs) is useful in many applications ranging from robustness certification of classifiers to stability analysis of closed-loop systems with reinforcement learning…

机器学习 · 计算机科学 2023-01-18 Mahyar Fazlyab , Alexander Robey , Hamed Hassani , Manfred Morari , George J. Pappas

The increasing demand on precision and throughput within high-precision mechatronics industries requires a new generation of feedforward controllers with higher accuracy than existing, physics-based feedforward controllers. As neural…

系统与控制 · 电气工程与系统科学 2024-01-26 Max Bolderman , Hans Butler , Sjirk Koekebakker , Eelco van Horssen , Ramidin Kamidi , Theresa Spaan-Burke , Nard Strijbosch , Mircea Lazar

Plug-and-Play Priors (PnP) is one of the most widely-used frameworks for solving computational imaging problems through the integration of physical models and learned models. PnP leverages high-fidelity physical sensor models and powerful…

图像与视频处理 · 电气工程与系统科学 2023-01-18 Ulugbek S. Kamilov , Charles A. Bouman , Gregery T. Buzzard , Brendt Wohlberg

It has been demonstrated in various contexts that monotonicity leads to better explainability in neural networks. However, not every function can be well approximated by a monotone neural network. We demonstrate that monotonicity can still…

计算机视觉与模式识别 · 计算机科学 2026-01-15 Jakob Paul Zimmermann , Georg Loho

Color image denoising is frequently encountered in various image processing and computer vision tasks. One traditional strategy is to convert the RGB image to a less correlated color space and denoise each channel of the new space…

计算机视觉与模式识别 · 计算机科学 2022-09-20 Yiwen Shan , Dong Hu , Zhi Wang , Tao Jia

We present the Multilevel Bregman Proximal Gradient Descent (ML BPGD) method, a novel multilevel optimization framework tailored to constrained convex problems with relative Lipschitz smoothness. Our approach extends the classical…

最优化与控制 · 数学 2026-05-06 Yara Elshiaty , Stefania Petra

We propose a new approach for large-scale high-dynamic range computational imaging. Deep Neural Networks (DNNs) trained end-to-end can solve linear inverse imaging problems almost instantaneously. While unfolded architectures provide…

天体物理仪器与方法 · 物理学 2023-09-28 Amir Aghabiglou , Matthieu Terris , Adrian Jackson , Yves Wiaux

Path regularization has shown to be a very effective regularization to train neural networks, leading to a better generalization property than common regularizations i.e. weight decay, etc. We propose a first near-complete (as will be made…

机器学习 · 计算机科学 2026-04-09 Hao Yu

We introduce a model-based image reconstruction framework with a convolution neural network (CNN) based regularization prior. The proposed formulation provides a systematic approach for deriving deep architectures for inverse problems with…

计算机视觉与模式识别 · 计算机科学 2019-06-06 Hemant Kumar Aggarwal , Merry P. Mani , Mathews Jacob

Plug-and-Play (PnP) algorithms are appealing alternatives to proximal algorithms when solving inverse imaging problems. By learning a Deep Neural Network (DNN) denoiser behaving as a proximal operator, one waives the computational…

图像与视频处理 · 电气工程与系统科学 2024-08-23 Matthieu Terris , Chao Tang , Adrian Jackson , Yves Wiaux

Deep Neural Networks (DNNs) are vulnerable to adversarial attacks. Existing methods are devoted to developing various robust training strategies or regularizations to update the weights of the neural network. But beyond the weights, the…

计算机视觉与模式识别 · 计算机科学 2023-02-03 Minjing Dong , Yanxi Li , Yunhe Wang , Chang Xu
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