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Parameter estimation and associated uncertainty quantification is an important problem in dynamical systems characterized by ordinary differential equation (ODE) models that are often nonlinear. Typically, such models have analytically…

统计计算 · 统计学 2024-03-26 Wai Meng Kwok , Sarat Chandra Dass , George Streftaris

In this work, we present an approach called Disease Informed Neural Networks (DINNs) that can be employed to effectively predict the spread of infectious diseases. This approach builds on a successful physics informed neural network…

机器学习 · 计算机科学 2022-08-26 Sagi Shaier , Maziar Raissi , Padmanabhan Seshaiyer

In this paper, we introduce a novel approach for diagnosis of Parkinson's Disease (PD) based on deep Echo State Networks (ESNs). The identification of PD is performed by analyzing the whole time-series collected from a tablet device during…

机器学习 · 计算机科学 2018-02-20 Claudio Gallicchio , Alessio Micheli , Luca Pedrelli

Deep learning utilizing deep neural networks (DNNs) has achieved a lot of success recently in many important areas such as computer vision, natural language processing, and recommendation systems. The lack of convexity for DNNs has been…

机器学习 · 计算机科学 2022-06-14 Jingcheng Zhou , Wei Wei , Xing Li , Bowen Pang , Zhiming Zheng

To advance the transparency of learning machines such as Deep Neural Networks (DNNs), the field of Explainable AI (XAI) was established to provide interpretations of DNNs' predictions. While different explanation techniques exist, a popular…

Physics-Informed Neural Network (PINN) is a deep learning framework that integrates the governing equations underlying data into a loss function. In this study, we consider the problem of estimating state variables and parameters in…

符号计算 · 计算机科学 2025-08-07 Mizuka Komatsu

Reinforcement Learning (RL) methods that incorporate deep neural networks (DNN), though powerful, often lack transparency. Their black-box characteristic hinders interpretability and reduces trustworthiness, particularly in critical…

机器学习 · 计算机科学 2025-09-19 Konrad Nowosadko , Franco Ruggeri , Ahmad Terra

Physics-informed neural networks (PINNs) have emerged as a promising approach to solving partial differential equations (PDEs) using neural networks, particularly in data-scarce scenarios, due to their unsupervised training capability.…

机器学习 · 计算机科学 2025-03-25 Edgar Torres , Jonathan Schiefer , Mathias Niepert

Drug Side-Effects (DSEs) have a high impact on public health, care system costs, and drug discovery processes. Predicting the probability of side-effects, before their occurrence, is fundamental to reduce this impact, in particular on drug…

Deep Neural Networks (DNNs) have recently shown state of the art performance on semantic segmentation tasks, however, they still suffer from problems of poor boundary localization and spatial fragmented predictions. The difficulties lie in…

计算机视觉与模式识别 · 计算机科学 2018-10-29 Peng Jiang , Fanglin Gu , Yunhai Wang , Changhe Tu , Baoquan Chen

Parkinson's disease (PD) is a debilitating neurological disorder that necessitates precise and early diagnosis for effective patient care. This study aims to develop a diagnostic model capable of achieving both high accuracy and minimizing…

机器学习 · 计算机科学 2024-01-30 Seyedeh Zahra Seyedi Hosseininian , Ahmadreza Tajari , Mohsen Ghalehnoie , Alireza Alfi

Nonparametric mean function regression with repeated measurements serves as a cornerstone for many statistical branches, such as longitudinal/panel/functional data analysis. In this work, we investigate this problem using fully connected…

统计理论 · 数学 2025-02-27 Shunxing Yan , Fang Yao , Hang Zhou

This paper presents a new method for medical diagnosis of neurodegenerative diseases, such as Parkinson's, by extracting and using latent information from trained Deep convolutional, or convolutional-recurrent Neural Networks (DNNs). In…

机器学习 · 计算机科学 2019-01-24 Ilianna Kollia , Andreas-Georgios Stafylopatis , Stefanos Kollias

Contemporary power grids are being challenged by rapid voltage fluctuations that are caused by large-scale deployment of renewable generation, electric vehicles, and demand response programs. In this context, monitoring the grid's operating…

机器学习 · 计算机科学 2019-09-04 Liang Zhang , Gang Wang , Georgios B. Giannakis

Medical image computing has advanced rapidly with the advent of deep learning techniques such as convolutional neural networks. Deep convolutional neural networks can perform exceedingly well given full supervision. However, the success of…

图像与视频处理 · 电气工程与系统科学 2020-05-12 Abdullah-Al-Zubaer Imran , Demetri Terzopoulos

Deep Neural Networks (DNNs) are widely used for their ability to effectively approximate large classes of functions. This flexibility, however, makes the strict enforcement of constraints on DNNs an open problem. Here we present a framework…

机器学习 · 计算机科学 2023-02-10 Eric Marcus , Ray Sheombarsing , Jan-Jakob Sonke , Jonas Teuwen

In Deep Neural Networks (DNN) and Spiking Neural Networks (SNN), the information of a neuron is computed based on the sum of the amplitudes (weights) of the electrical potentials received in input from other neurons. We propose here a new…

神经与进化计算 · 计算机科学 2025-01-22 Alban Gattepaille , Alexandre Muzy

Solving partial differential equations (PDEs) is the canonical approach for understanding the behavior of physical systems. However, large scale solutions of PDEs using state of the art discretization techniques remains an expensive…

计算工程、金融与科学 · 计算机科学 2021-01-14 Xiaoxuan Zhang , Krishna Garikipati

Deep neural networks (NNs) are powerful black box predictors that have recently achieved impressive performance on a wide spectrum of tasks. Quantifying predictive uncertainty in NNs is a challenging and yet unsolved problem. Bayesian NNs,…

机器学习 · 统计学 2017-11-07 Balaji Lakshminarayanan , Alexander Pritzel , Charles Blundell

Semiparametric statistics play a pivotal role in a wide range of domains, including but not limited to missing data, causal inference, and transfer learning, to name a few. In many settings, semiparametric theory leads to (nearly)…

机器学习 · 统计学 2024-08-06 Qinshuo Liu , Zixin Wang , Xi-An Li , Xinyao Ji , Lei Zhang , Lin Liu , Zhonghua Liu