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Neural Ordinary Differential Equations (NODEs), a framework of continuous-depth neural networks, have been widely applied, showing exceptional efficacy in coping with some representative datasets. Recently, an augmented framework has been…

Machine Learning · Computer Science 2021-02-23 Qunxi Zhu , Yao Guo , Wei Lin

Nowadays, this is very popular to use the deep architectures in machine learning. Deep Belief Networks (DBNs) are deep architectures that use stack of Restricted Boltzmann Machines (RBM) to create a powerful generative model using training…

Computer Vision and Pattern Recognition · Computer Science 2016-01-07 Mohammad Ali Keyvanrad , Mohammad Mehdi Homayounpour

Deep learning has emerged as a compelling framework for scientific and engineering computing, motivating growing interest in neural network-based solvers for partial differential equations (PDEs). Within this landscape, network…

Numerical Analysis · Mathematics 2026-04-06 Tao Cheng , Lili Ju , Zhonghua Qiao , Xiaoping Zhang

Neural networks have proved to be very robust at processing unstructured data like images, text, videos, and audio. However, it has been observed that their performance is not up to the mark in tabular data; hence tree-based models are…

Machine Learning · Computer Science 2022-04-25 Tushar Sarkar

Deep neural networks have enhanced the performance of decision making systems in many applications including image understanding, and further gains can be achieved by constructing ensembles. However, designing an ensemble of deep networks…

Machine Learning · Computer Science 2021-11-16 Sara Atito Ali Ahmed , Cemre Zor , Berrin Yanikoglu , Muhammad Awais , Josef Kittler

This literature review explores continual learning methods for on-device training in the context of neural networks (NNs) and decision trees (DTs) for classification tasks on smart environments. We highlight key constraints, such as data…

Machine Learning · Computer Science 2025-02-26 Afonso Lourenço , João Rodrigo , João Gama , Goreti Marreiros

Deep networks and decision forests (such as random forests and gradient boosted trees) are the leading machine learning methods for structured and tabular data, respectively. Many papers have empirically compared large numbers of…

While deep neural networks (DNNs) have become a standard architecture for many machine learning tasks, their internal decision-making process and general interpretability is still poorly understood. Conversely, common decision trees are…

Machine Learning · Computer Science 2022-02-02 Coenraad Mouton , Marelie H. Davel

When dealing with deep neural network (DNN) applications on edge devices, continuously updating the model is important. Although updating a model with real incoming data is ideal, using all of them is not always feasible due to limits, such…

Machine Learning · Computer Science 2023-03-23 Yuya Senzaki , Christian Hamelain

We explore a new class of end-to-end learnable models wherein data processing nodes (or network layers) are defined in terms of desired behavior rather than an explicit forward function. Specifically, the forward function is implicitly…

Machine Learning · Computer Science 2021-08-20 Stephen Gould , Richard Hartley , Dylan Campbell

Neural ordinary differential equations (NODEs), one of the most influential works of the differential equation-based deep learning, are to continuously generalize residual networks and opened a new field. They are currently utilized for…

Machine Learning · Computer Science 2023-12-19 Woojin Cho , Seunghyeon Cho , Hyundong Jin , Jinsung Jeon , Kookjin Lee , Sanghyun Hong , Dongeun Lee , Jonghyun Choi , Noseong Park

Operator learning has emerged as a promising paradigm for developing efficient surrogate models to solve partial differential equations (PDEs). However, existing approaches often overlook the domain knowledge inherent in the underlying PDEs…

Machine Learning · Computer Science 2025-10-20 Ziqian Li , Kang Liu , Yongcun Song , Hangrui Yue , Enrique Zuazua

Label noise, which refers to the mislabeling of instances in a dataset, can significantly impair classifier performance, increase model complexity, and affect feature selection. While most research has concentrated on deep neural networks…

Machine Learning · Computer Science 2025-01-07 Anita Eisenbürger , Daniel Otten , Anselm Hudde , Frank Hopfgartner

We propose the fully explainable Decision Tree Graph Neural Network (DT+GNN) architecture. In contrast to existing black-box GNNs and post-hoc explanation methods, the reasoning of DT+GNN can be inspected at every step. To achieve this, we…

Machine Learning · Computer Science 2022-05-27 Peter Müller , Lukas Faber , Karolis Martinkus , Roger Wattenhofer

Tabular data remains one of the most prevalent data types across a wide range of real-world applications, yet effective representation learning for this domain poses unique challenges due to its irregular patterns, heterogeneous feature…

Machine Learning · Computer Science 2025-01-08 Weijieying Ren , Tianxiang Zhao , Yuqing Huang , Vasant Honavar

Training deep neural networks (DNNs) in large-cluster computing environments is increasingly necessary, as networks grow in size and complexity. Local memory and processing limitations require robust data and model parallelism for crossing…

Machine Learning · Computer Science 2020-06-08 Russell J. Hewett , Thomas J. Grady

Neural ordinary differential equations (NODEs) presented a new paradigm to construct (continuous-time) neural networks. While showing several good characteristics in terms of the number of parameters and the flexibility in constructing…

Machine Learning · Computer Science 2021-06-01 Sheo Yon Jhin , Minju Jo , Taeyong Kong , Jinsung Jeon , Noseong Park

Spatiotemporal partial differential equations (PDEs) underpin a wide range of scientific and engineering applications. Neural PDE solvers offer a promising alternative to classical numerical methods. However, existing approaches typically…

Machine Learning · Computer Science 2026-03-03 Yingjie Tan , Quanming Yao , Yaqing Wang

The feasibility of deep neural networks (DNNs) to address data stream problems still requires intensive study because of the static and offline nature of conventional deep learning approaches. A deep continual learning algorithm, namely…

Machine Learning · Computer Science 2020-01-10 Andri Ashfahani , Mahardhika Pratama

Inspired by the traditional partial differential equation (PDE) approach for image denoising, we propose a novel neural network architecture, referred as NODE-ImgNet, that combines neural ordinary differential equations (NODEs) with…

Image and Video Processing · Electrical Eng. & Systems 2023-11-07 Xinheng Xie , Yue Wu , Hao Ni , Cuiyu He