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We present a numerical framework for learning unknown stochastic dynamical systems using measurement data. Termed stochastic flow map learning (sFML), the new framework is an extension of flow map learning (FML) that was developed for…

Machine Learning · Computer Science 2023-05-09 Yuan Chen , Dongbin Xiu

Physics-based models are computationally time-consuming and infeasible for real-time scenarios of urban drainage networks, and a surrogate model is needed to accelerate the online predictive modelling. Fully-connected neural networks (NNs)…

Machine Learning · Computer Science 2024-08-02 Zhiyu Zhang , Chenkaixiang Lu , Wenchong Tian , Zhenliang Liao , Zhiguo Yuan

Bridging continuous perceptual signals and discrete symbolic reasoning is a fundamental challenge in AI systems that must operate under uncertainty. We present a neuro-symbolic framework that explicitly models and propagates uncertainty…

Artificial Intelligence · Computer Science 2025-11-19 Jiahao Wu , Shengwen Yu

Differential equations are widely used to describe complex dynamical systems with evolving parameters in nature and engineering. Effectively learning a family of maps from the parameter function to the system dynamics is of great…

Machine Learning · Computer Science 2025-03-12 Xin Li , Chengli Zhao , Xue Zhang , Xiaojun Duan

Graph representation learning has become a crucial task in machine learning and data mining due to its potential for modeling complex structures such as social networks, chemical compounds, and biological systems. Spiking neural networks…

Artificial Intelligence · Computer Science 2024-03-27 Huifeng Yin , Mingkun Xu , Jing Pei , Lei Deng

We propose a new framework for image classification with deep neural networks. The framework introduces intermediate outputs to the computational graph of a network. This enables flexible control of the computational load and balances the…

Computer Vision and Pattern Recognition · Computer Science 2018-10-03 Yue Bai , Shuvra S. Bhattacharyya , Antti P. Happonen , Heikki Huttunen

Neural processes (NPs) are a class of models that learn stochastic processes directly from data and can be used for inference, sampling and conditional sampling. We introduce a new NP model based on flow matching, a generative modeling…

Machine Learning · Computer Science 2026-01-01 Hussen Abu Hamad , Dan Rosenbaum

Normalizing Flows are a promising new class of algorithms for unsupervised learning based on maximum likelihood optimization with change of variables. They offer to learn a factorized component representation for complex nonlinear data and,…

Machine Learning · Computer Science 2020-02-17 Reuben Feinman , Nikhil Parthasarathy

It is widely recognized that the deeper networks or networks with more feature maps have better performance. Existing studies mainly focus on extending the network depth and increasing the feature maps of networks. At the same time,…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Shenlong Lou , Yan Luo , Qiancong Fan , Feng Chen , Yiping Chen , Cheng Wang , Jonathan Li

Numerous neuro-symbolic approaches have recently been proposed typically with the goal of adding symbolic knowledge to the output layer of a neural network. Ideally, such losses maximize the probability that the neural network's predictions…

Machine Learning · Computer Science 2023-03-01 Kareem Ahmed , Kai-Wei Chang , Guy Van den Broeck

How can neural networks perform so well on compositional tasks even though they lack explicit compositional representations? We use a novel analysis technique called ROLE to show that recurrent neural networks perform well on such tasks by…

Machine Learning · Computer Science 2023-02-10 Paul Soulos , Tom McCoy , Tal Linzen , Paul Smolensky

Deep Neural Networks (DNNs) have become very popular for prediction in many areas. Their strength is in representation with a high number of parameters that are commonly learned via gradient descent or similar optimization methods. However,…

Machine Learning · Statistics 2016-10-11 Anthony Caterini , Dong Eui Chang

Neural models and symbolic algorithms have recently been combined for tasks requiring both perception and reasoning. Neural models ground perceptual input into a conceptual vocabulary, on which a classical reasoning algorithm is applied to…

Artificial Intelligence · Computer Science 2021-06-08 Ananye Agarwal , Pradeep Shenoy , Mausam

Symbolic regression corresponds to an ensemble of techniques that allow to uncover an analytical equation from data. Through a closed form formula, these techniques provide great advantages such as potential scientific discovery of new…

Machine Learning · Computer Science 2021-10-27 Ismail Alaoui Abdellaoui , Siamak Mehrkanoon

This paper introduces a novel deep learning based method, named bridge neural network (BNN) to dig the potential relationship between two given data sources task by task. The proposed approach employs two convolutional neural networks that…

Machine Learning · Computer Science 2019-06-27 Yao Xu , Xueshuang Xiang , Meiyu Huang

Many score-based active learning methods have been successfully applied to graph-structured data, aiming to reduce the number of labels and achieve better performance of graph neural networks based on predefined score functions. However,…

Machine Learning · Computer Science 2023-04-25 Yinchuan Li , Zhigang Li , Wenqian Li , Yunfeng Shao , Yan Zheng , Jianye Hao

Feature selection is important step in machine learning since it has shown to improve prediction accuracy while depressing the curse of dimensionality of high dimensional data. The neural networks have experienced tremendous success in…

Machine Learning · Computer Science 2021-07-13 Peter Bugata , Peter Drotar

This paper introduces an Interpretable Neural Network (INN) incorporating spatial information to tackle the opaque parameterization process of random weighted neural networks. The INN leverages spatial information to elucidate the…

Machine Learning · Computer Science 2024-04-16 Jing Nan , Wei Dai

Conditional Normalizing Flows (CNFs) are flexible generative models capable of representing complicated distributions with high dimensionality and large interdimensional correlations, making them appealing for structured output learning.…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Mohsen Zand , Ali Etemad , Michael Greenspan

Although traditional symbolic reasoning methods are highly interpretable, their application in knowledge graphs link prediction has been limited due to their computational inefficiency. A new RNNNTP method is proposed in this paper, using a…

Machine Learning · Computer Science 2022-03-15 Yu-hao Wu , Hou-biao Li