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Compressive Sensing (CS) exploits the surprising fact that the information contained in a sparse signal can be preserved in a small number of compressive, often random linear measurements of that signal. Strong theoretical guarantees have…

信息论 · 计算机科学 2014-05-02 Armin Eftekhari , Michael B. Wakin

We propose a novel {\it Equilibrated Recurrent Neural Network} (ERNN) to combat the issues of inaccuracy and instability in conventional RNNs. Drawing upon the concept of autapse in neuroscience, we propose augmenting an RNN with a…

机器学习 · 计算机科学 2019-03-05 Ziming Zhang , Anil Kag , Alan Sullivan , Venkatesh Saligrama

The solution of linear inverse problems arising, for example, in signal and image processing is a challenging problem since the ill-conditioning amplifies, in the solution, the noise present in the data. Recently introduced algorithms based…

数值分析 · 数学 2024-02-08 Davide Evangelista , James Nagy , Elena Morotti , Elena Loli Piccolomini

Deep neural networks have demonstrated high accuracy in image classification tasks. However, they were shown to be weak against adversarial examples: a small perturbation in the image which changes the classification output dramatically. In…

机器学习 · 计算机科学 2018-11-06 David Vigouroux , Sylvain Picard

Recent interest has developed around the problem of dynamic compressed sensing, or the recovery of time-varying, sparse signals from limited observations. In this paper, we study how the dynamics of recurrent networks, formulated as general…

最优化与控制 · 数学 2015-11-09 MohammadMehdi Kafashan , Anirban Nandi , ShiNung Ching

We study the trade-offs between storage/bandwidth and prediction accuracy of neural networks that are stored in noisy media. Conventionally, it is assumed that all parameters (e.g., weight and biases) of a trained neural network are stored…

信息论 · 计算机科学 2017-09-20 Minghai Qin , Chao Sun , Dejan Vucinic

Implicit neural networks, a.k.a., deep equilibrium networks, are a class of implicit-depth learning models where function evaluation is performed by solving a fixed point equation. They generalize classic feedforward models and are…

机器学习 · 计算机科学 2022-01-27 Saber Jafarpour , Alexander Davydov , Anton V. Proskurnikov , Francesco Bullo

Solving inverse problems is a fundamental component of science, engineering and mathematics. With the advent of deep learning, deep neural networks have significant potential to outperform existing state-of-the-art, model-based methods for…

机器学习 · 计算机科学 2022-12-22 Maksym Neyra-Nesterenko , Ben Adcock

Computational imaging has been revolutionized by compressed sensing algorithms, which offer guaranteed uniqueness, convergence, and stability properties. Model-based deep learning methods that combine imaging physics with learned…

计算机视觉与模式识别 · 计算机科学 2023-03-01 Aniket Pramanik , M. Bridget Zimmerman , Mathews Jacob

Model-based methods and deep neural networks have both been tremendously successful paradigms in machine learning. In model-based methods, problem domain knowledge can be built into the constraints of the model, typically at the expense of…

机器学习 · 计算机科学 2014-11-21 John R. Hershey , Jonathan Le Roux , Felix Weninger

Robust estimation of the essential matrix, which encodes the relative position and orientation of two cameras, is a fundamental step in structure from motion pipelines. Recent deep-based methods achieved accurate estimation by using complex…

计算机视觉与模式识别 · 计算机科学 2024-11-05 Dror Moran , Yuval Margalit , Guy Trostianetsky , Fadi Khatib , Meirav Galun , Ronen Basri

While Deep Neural Networks (DNNs) push the state-of-the-art in many machine learning applications, they often require millions of expensive floating-point operations for each input classification. This computation overhead limits the…

神经与进化计算 · 计算机科学 2017-05-12 Hokchhay Tann , Soheil Hashemi , Iris Bahar , Sherief Reda

Single image blind deblurring is highly ill-posed as neither the latent sharp image nor the blur kernel is known. Even though considerable progress has been made, several major difficulties remain for blind deblurring, including the…

计算机视觉与模式识别 · 计算机科学 2022-10-19 Yuxin Mao , Zhexiong Wan , Yuchao Dai , Xin Yu

We present a lossy image compression method based on deep convolutional neural networks (CNNs), which outperforms the existing BPG, WebP, JPEG2000 and JPEG as measured via multi-scale structural similarity (MS-SSIM), at the same bit rate.…

图像与视频处理 · 电气工程与系统科学 2018-06-06 Haojie Liu , Tong Chen , Qiu Shen , Tao Yue , Zhan Ma

Fourier embedding has shown great promise in removing spectral bias during neural network training. However, it can still suffer from high generalization errors, especially when the labels or measurements are noisy. We demonstrate that…

机器学习 · 计算机科学 2024-09-04 Halyun Jeong , Jihun Han

Self-stabilization for non-masking fault-tolerant distributed system has received considerable research interest over the last decade. In this paper, we propose a self-stabilizing algorithm for 2-edge-connectivity and 2-vertex-connectivity…

分布式、并行与集群计算 · 计算机科学 2019-06-26 Abusayeed Saifullah

With the rapid proliferation of Internet of Things and intelligent edge devices, there is an increasing need for implementing machine learning algorithms, including deep learning, on resource-constrained mobile embedded devices with limited…

机器学习 · 计算机科学 2017-01-05 Wenjia Meng , Zonghua Gu , Ming Zhang , Zhaohui Wu

The ever-growing size of neural networks poses serious challenges on resource-constrained devices, such as embedded sensors. Compression algorithms that reduce their size can mitigate these problems, provided that model performance stays…

机器学习 · 计算机科学 2025-05-27 Alexander Conzelmann , Robert Bamler

Deep neural nets (DNNs) compression is crucial for adaptation to mobile devices. Though many successful algorithms exist to compress naturally trained DNNs, developing efficient and stable compression algorithms for robustly trained DNNs…

机器学习 · 计算机科学 2020-03-03 Thu Dinh , Bao Wang , Andrea L. Bertozzi , Stanley J. Osher

This paper introduces a nonconvex approach for sparse signal recovery, proposing a novel model termed the $\tau_2$-model, which utilizes the squared $\ell_1/\ell_2$ norms for this purpose. Our model offers an advancement over the $\ell_0$…

最优化与控制 · 数学 2024-09-02 Jianqing Jia , Ashley Prater-Bennette , Lixin Shen , Erin E. Tripp