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While significant progress has been made in specifying neural networks capable of representing uncertainty, deep networks still often suffer from overconfidence and misaligned predictive distributions. Existing approaches for measuring this…

机器学习 · 计算机科学 2025-10-24 Spencer Young , Riley Sinema , Cole Edgren , Andrew Hall , Nathan Dong , Porter Jenkins

We compare the discretize-optimize (Disc-Opt) and optimize-discretize (Opt-Disc) approaches for time-series regression and continuous normalizing flows (CNFs) using neural ODEs. Neural ODEs are ordinary differential equations (ODEs) with…

机器学习 · 计算机科学 2020-08-03 Derek Onken , Lars Ruthotto

Efficient and robust optimization is essential for neural networks, enabling scientific machine learning models to converge rapidly to very high accuracy -- faithfully capturing complex physical behavior governed by differential equations.…

We investigate the convergence and convergence rate of stochastic training algorithms for Neural Networks (NNs) that have been inspired by Dropout (Hinton et al., 2012). With the goal of avoiding overfitting during training of NNs, dropout…

最优化与控制 · 数学 2023-03-24 Albert Senen-Cerda , Jaron Sanders

Optimal Transport (OT) based distances are powerful tools for machine learning to compare probability measures and manipulate them using OT maps. In this field, a setting of interest is semi-discrete OT, where the source measure $\mu$ is…

Fine-tuning large language models (LLMs) for specialized domains often necessitates a trade-off between acquiring domain expertise and retaining general reasoning capabilities, a phenomenon known as catastrophic forgetting. Existing…

机器学习 · 计算机科学 2026-02-09 Xiyang Zhang , Yuanhe Tian , Hongzhi Wang , Yan Song

Modern deep neural network (DNN) trainings utilize various training techniques, e.g., nonlinear activation functions, batch normalization, skip-connections, etc. Despite their effectiveness, it is still mysterious how they help accelerate…

机器学习 · 计算机科学 2024-03-05 Cheng Chen , Junjie Yang , Yi Zhou

Neural networks are trained by choosing an architecture and training the parameters. The choice of architecture is often by trial and error or with Neural Architecture Search (NAS) methods. While NAS provides some automation, it often…

机器学习 · 计算机科学 2024-10-14 Zitong Huang , Mansooreh Montazerin , Ajitesh Srivastava

Neural networks are achieving state of the art and sometimes super-human performance on learning tasks across a variety of domains. Whenever these problems require learning in a continual or sequential manner, however, neural networks…

机器学习 · 计算机科学 2019-10-17 Mehrdad Farajtabar , Navid Azizan , Alex Mott , Ang Li

Learning precise distributions of traffic features (e.g., burst sizes, packet inter-arrival time) is still a largely unsolved problem despite being critical for management tasks such as capacity planning or anomaly detection. A key…

网络与互联网体系结构 · 计算机科学 2024-05-27 Alexander Dietmüller , Albert Gran Alcoz , Laurent Vanbever

EEG-based fatigue monitoring can effectively reduce the incidence of related traffic accidents. In the past decade, with the advancement of deep learning, convolutional neural networks (CNN) have been increasingly used for EEG signal…

机器学习 · 计算机科学 2025-01-28 Meiyan Xu , Qingqing Chen , Duo Chen , Yi Ding , Jingyuan Wang , Peipei Gu , Yijie Pan , Deshuang Huang , Xun Zhang , Jiayang Guo

In this paper we consider utilizing a residual neural network (ResNet) to solve ordinary differential equations. Stochastic gradient descent method is applied to obtain the optimal parameter set of weights and biases of the network. We…

数值分析 · 数学 2021-01-12 Changxin Qiu , Aaron Bendickson , Joshua Kalyanapu , Jue Yan

Detecting out-of-distribution (OOD) instances is crucial for the reliable deployment of machine learning models in real-world scenarios. OOD inputs are commonly expected to cause a more uncertain prediction in the primary task; however,…

机器学习 · 计算机科学 2024-05-22 Mohammad Azizmalayeri , Ameen Abu-Hanna , Giovanni Cinà

We propose a new approach to learning the subgrid-scale model when simulating partial differential equations (PDEs) solved by the method of lines and their representation in chaotic ordinary differential equations, based on neural ordinary…

数值分析 · 数学 2023-04-14 Shinhoo Kang , Emil M. Constantinescu

Automating the navigation of unmanned aerial vehicles (UAVs) in diverse scenarios has gained much attention in recent years. However, teaching UAVs to fly in challenging environments remains an unsolved problem, mainly due to the lack of…

计算机视觉与模式识别 · 计算机科学 2018-11-26 Matthias Müller , Vincent Casser , Neil Smith , Dominik L. Michels , Bernard Ghanem

Neural Operator Networks (ONets) represent a novel advancement in machine learning algorithms, offering a robust and generalizable alternative for approximating partial differential equations (PDEs) solutions. Unlike traditional Neural…

机器学习 · 计算机科学 2024-04-30 Kazuma Kobayashi , James Daniell , Syed Bahauddin Alam

Global navigation satellite systems (GNSS) face significant challenges in urban and sub-urban areas due to non-line-of-sight (NLOS) propagation, multipath effects, and low received power levels, resulting in highly non-linear and…

机器学习 · 计算机科学 2025-04-22 M. Humayun Kabir , Md. Ali Hasan , Md. Shafiqul Islam , Kyeongjun Ko , Wonjae Shin

Conventional wisdom suggests that neural network predictions tend to be unpredictable and overconfident when faced with out-of-distribution (OOD) inputs. Our work reassesses this assumption for neural networks with high-dimensional inputs.…

机器学习 · 计算机科学 2024-03-19 Katie Kang , Amrith Setlur , Claire Tomlin , Sergey Levine

We train neural models to represent both the optimal policy (i.e. the optimal thrust direction) and the value function (i.e. the time of flight) for a time optimal, constant acceleration low-thrust rendezvous. In both cases we develop and…

地球与行星天体物理 · 物理学 2023-03-22 Dario Izzo , Sebastien Origer

Operator learning techniques have recently emerged as a powerful tool for learning maps between infinite-dimensional Banach spaces. Trained under appropriate constraints, they can also be effective in learning the solution operator of…

机器学习 · 计算机科学 2021-10-13 Sifan Wang , Hanwen Wang , Paris Perdikaris