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Variational methods are widely applied to ill-posed inverse problems for they have the ability to embed prior knowledge about the solution. However, the level of performance of these methods significantly depends on a set of parameters,…

Optimization and Control · Mathematics 2020-01-23 Carla Bertocchi , Emilie Chouzenoux , Marie-Caroline Corbineau , Jean-Christophe Pesquet , Marco Prato

Stochastic gradient descent (SGD) is a fundamental tool for training deep neural networks across a variety of tasks. In self-supervised learning, different input categories map to distinct manifolds in the embedded neural state space.…

Statistical Mechanics · Physics 2025-03-04 Guanming Zhang , Stefano Martiniani

Training a neural network (NN) typically relies on some type of curve-following method, such as gradient descent (GD) (and stochastic gradient descent (SGD)), ADADELTA, ADAM or limited memory algorithms. Convergence for these algorithms…

Machine Learning · Computer Science 2023-05-08 Michael A Kouritzin , Stephen Styles , Beatrice-Helen Vritsiou

Understanding how the dynamics in biological and artificial neural networks implement the computations required for a task is a salient open question in machine learning and neuroscience. In particular, computations requiring complex memory…

Machine Learning · Computer Science 2023-07-14 Timothy Doyeon Kim , Tankut Can , Kamesh Krishnamurthy

Previous work has shown that adversarial learning can be used for unsupervised monocular depth and visual odometry (VO) estimation, in which the adversarial loss and the geometric image reconstruction loss are utilized as the mainly…

Computer Vision and Pattern Recognition · Computer Science 2021-04-14 Chaoqiang Zhao , Gary G. Yen , Qiyu Sun , Chongzhen Zhang , Yang Tang

Drawing motivation from the manifold hypothesis, which posits that most high-dimensional data lies on or near low-dimensional manifolds, we apply manifold learning to the space of neural networks. We learn manifolds where datapoints are…

We present 3DVNet, a novel multi-view stereo (MVS) depth-prediction method that combines the advantages of previous depth-based and volumetric MVS approaches. Our key idea is the use of a 3D scene-modeling network that iteratively updates a…

Computer Vision and Pattern Recognition · Computer Science 2021-12-02 Alexander Rich , Noah Stier , Pradeep Sen , Tobias Höllerer

Stochastic Gradient Descent (SGD) is an out-of-equilibrium algorithm used extensively to train artificial neural networks. However very little is known on to what extent SGD is crucial for to the success of this technology and, in…

Machine Learning · Computer Science 2023-12-19 Persia Jana Kamali , Pierfrancesco Urbani

Deep neural networks (DNNs) have been proven to have many redundancies. Hence, many efforts have been made to compress DNNs. However, the existing model compression methods treat all the input samples equally while ignoring the fact that…

Machine Learning · Computer Science 2018-07-05 Zhisheng Wang , Fangxuan Sun , Jun Lin , Zhongfeng Wang , Bo Yuan

Learning-based multi-view stereo (MVS) has by far centered around 3D convolution on cost volumes. Due to the high computation and memory consumption of 3D CNN, the resolution of output depth is often considerably limited. Different from…

Computer Vision and Pattern Recognition · Computer Science 2023-07-21 Yifei Shi , Junhua Xi , Dewen Hu , Zhiping Cai , Kai Xu

Deep neural networks have reshaped modern machine learning by learning powerful latent representations that often align with the manifold hypothesis: high-dimensional data lie on lower-dimensional manifolds. In this paper, we establish a…

Machine Learning · Computer Science 2025-06-09 Nico Pelleriti , Max Zimmer , Elias Wirth , Sebastian Pokutta

End-to-end performance estimation and measurement of deep neural network (DNN) systems become more important with increasing complexity of DNN systems consisting of hardware and software components. The methodology proposed in this paper…

Machine Learning · Computer Science 2019-11-19 Michael J. Klaiber , Sebastian Vogel , Axel Acosta , Robert Korn , Leonardo Ecco , Kristine Back , Andre Guntoro , Ingo Feldner

Depth completion aims at inferring a dense depth image from sparse depth measurement since glossy, transparent or distant surface cannot be scanned properly by the sensor. Most of existing methods directly interpolate the missing depth…

Computer Vision and Pattern Recognition · Computer Science 2021-05-31 Zhongzhen Luo , Fengjia Zhang , Guoyi Fu , Jiajie Xu

We propose a hybrid physics-informed machine learning framework to approximate invariant manifolds (IMs) of discrete-time dynamical systems driven by exogenous autonomous dynamics (exosystems). Such systems appear in applications ranging…

High-performance deep neural network (DNN)-based systems are in high demand in edge environments. Due to its high computational complexity, it is challenging to deploy DNNs on edge devices with strict limitations on computational resources.…

Machine Learning · Computer Science 2023-07-04 Hiroki Kawakami , Hirohisa Watanabe , Keisuke Sugiura , Hiroki Matsutani

Many supervised learning tasks have intrinsic symmetries, such as translational and rotational symmetry in image classifications. These symmetries can be exploited to enhance performance. We formulate the symmetry constraints into a concise…

Quantum Physics · Physics 2024-08-14 Kaiming Bian , Shitao Zhang , Fei Meng , Wen Zhang , Oscar Dahlsten

Since the recognition in the early nineties of the vanishing/exploding (V/E) gradient issue plaguing the training of neural networks (NNs), significant efforts have been exerted to overcome this obstacle. However, a clear solution to the…

Machine Learning · Computer Science 2022-10-05 Andrea Ceni

Stochastic gradient descent (SGD) is a standard optimization method to minimize a training error with respect to network parameters in modern neural network learning. However, it typically suffers from proliferation of saddle points in the…

Machine Learning · Computer Science 2017-11-23 Haiping Huang , Taro Toyoizumi

The unpaired training can be the only option available for fast deep learning-based ghost imaging, where obtaining a high signal-to-noise ratio (SNR) image copy of each low SNR ghost image could be practically time-consuming and…

Image and Video Processing · Electrical Eng. & Systems 2021-06-10 Fatemeh Alishahi , Amirhossein Mohajerin-Ariaei

This work presents FG-Net, a general deep learning framework for large-scale point clouds understanding without voxelizations, which achieves accurate and real-time performance with a single NVIDIA GTX 1080 GPU. First, a novel noise and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-18 Kangcheng Liu , Zhi Gao , Feng Lin , Ben M. Chen