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Approximating the solutions of boundary value problems governed by partial differential equations with neural networks is challenging, largely due to the difficult training process. This difficulty can be partly explained by the spectral…

Numerical Analysis · Mathematics 2025-11-03 Alexander Heinlein , Taniya Kapoor

There are inevitably many mislabeled data in real-world datasets. Because deep neural networks (DNNs) have an enormous capacity to memorize noisy labels, a robust training scheme is required to prevent labeling errors from degrading the…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Jun Ho Lee , Jae Soon Baik , Tae Hwan Hwang , Jun Won Choi

First-order methods such as stochastic gradient descent (SGD) are currently the standard algorithm for training deep neural networks. Second-order methods, despite their better convergence rate, are rarely used in practice due to the…

Machine Learning · Computer Science 2019-09-26 Tianle Cai , Ruiqi Gao , Jikai Hou , Siyu Chen , Dong Wang , Di He , Zhihua Zhang , Liwei Wang

Training deep neural networks (DNNs) directly on edge devices has attracted increasing attention, as it offers promising solutions to challenges such as domain adaptation and privacy preservation. However, conventional DNN training…

Machine Learning · Computer Science 2025-08-26 Boran Zhao , Hetian Liu , Zihang Yuan , Li Zhu , Fan Yang , Lina Xie Tian Xia , Wenzhe Zhao , Pengju Ren

Recent advancements in edge computing have significantly enhanced the AI capabilities of Internet of Things (IoT) devices. However, these advancements introduce new challenges in knowledge exchange and resource management, particularly…

Machine Learning · Computer Science 2024-10-14 Gleb Radchenko , Victoria Andrea Fill

This paper considers the problem of distributed estimation in wireless sensor networks (WSN), which is anticipated to support a wide range of applications such as the environmental monitoring, weather forecasting, and location estimation.…

Signal Processing · Electrical Eng. & Systems 2023-10-26 Meng He , Ran Li , Chuan Huang , Shulong Zhang

We study the performance of stochastically trained deep neural networks (DNNs) whose synaptic weights are implemented using emerging memristive devices that exhibit limited dynamic range, resolution, and variability in their programming…

Machine Learning · Statistics 2017-11-13 Anakha V Babu , Bipin Rajendran

Hybrid AC/DC distribution systems are becoming a popular means to accommodate the increasing penetration of distributed energy resources and flexible loads. This paper proposes a distributed and robust state estimation (DRSE) method for…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Manyun Huang , Junbo Zhao , Zhinong Wei , Marco Pau , Guoqiang Sun

Traditional statistical optimization-based state estimation (DSSE) algorithms rely on detailed grid parameters and mathematical assumptions of all possible uncertainties. Furthermore, random data missing due to communication failures,…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Ying Zhang , Yihao Wang , Yuanshuo Zhang , Eric Larson , Di Shi , Fanping Sui

Data point selection (DPS) is becoming a critical topic in deep learning due to the ease of acquiring uncurated training data compared to the difficulty of obtaining curated or processed data. Existing approaches to DPS are predominantly…

Machine Learning · Computer Science 2024-11-07 Xinnuo Xu , Minyoung Kim , Royson Lee , Brais Martinez , Timothy Hospedales

Discrete stochastic optimization considers the problem of minimizing (or maximizing) loss functions defined on discrete sets, where only noisy measurements of the loss functions are available. The discrete stochastic optimization problem is…

Optimization and Control · Mathematics 2013-11-04 Qi Wang

This paper studies distributed estimation and inference for a general statistical problem with a convex loss that could be non-differentiable. For the purpose of efficient computation, we restrict ourselves to stochastic first-order…

Machine Learning · Statistics 2022-07-19 Xi Chen , Weidong Liu , Yichen Zhang

Fractional-order dynamical networks are increasingly being used to model and describe processes demonstrating long-term memory or complex interlaced dependencies amongst the spatial and temporal components of a wide variety of dynamical…

Optimization and Control · Mathematics 2021-08-04 Sarthak Chatterjee , Andrea Alessandretti , A. Pedro Aguiar , Sérgio Pequito

This paper addresses a distributed optimization problem in a communication network where nodes are active sporadically. Each active node applies some learning method to control its action to maximize the global utility function, which is…

Optimization and Control · Mathematics 2021-04-20 Wenjie Li , Mohamad Assaad , Shiqi Zheng

We present an efficient block-diagonal ap- proximation to the Gauss-Newton matrix for feedforward neural networks. Our result- ing algorithm is competitive against state- of-the-art first order optimisation methods, with sometimes…

Machine Learning · Statistics 2017-06-14 Aleksandar Botev , Hippolyt Ritter , David Barber

Decentralized strategies are of interest for learning from large-scale data over networks. This paper studies learning over a network of geographically distributed nodes/agents subject to quantization. Each node possesses a private local…

Systems and Control · Electrical Eng. & Systems 2025-01-13 Mohammadreza Doostmohammadian , Muhammad I. Qureshi , Mohammad Hossein Khalesi , Hamid R. Rabiee , Usman A. Khan

In this thesis, we disentangle the generalized Gauss-Newton and approximate inference for Bayesian deep learning. The generalized Gauss-Newton method is an optimization method that is used in several popular Bayesian deep learning…

Machine Learning · Statistics 2020-07-24 Alexander Immer

Traditional supervised denoisers are trained using pairs of noisy input and clean target images. They learn to predict a central tendency of the posterior distribution over possible clean images. When, e.g., trained with the popular…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Benjamin Salmon , Alexander Krull

In artificial neural networks, learning from data is a computationally demanding task in which a large number of connection weights are iteratively tuned through stochastic-gradient-based heuristic processes over a cost-function. It is not…

An important question in deep learning is how higher-order optimization methods affect generalization. In this work, we analyze a stochastic Gauss-Newton (SGN) method with Levenberg-Marquardt damping and mini-batch sampling for training…

Machine Learning · Computer Science 2025-11-13 Semih Cayci
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