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Utilizing physics-informed neural networks (PINN) to solve partial differential equations (PDEs) becomes a hot issue and also shows its great powers, but still suffers from the dilemmas of limited predicted accuracy in the sampling domain…

机器学习 · 计算机科学 2025-04-08 Zhi-Yong Zhang , Jie-Ying Li , Lei-Lei Guo

Our ability to generalize beyond training data to novel, out-of-distribution, image degradations is a hallmark of primate vision. The predictive brain, exemplified by predictive coding networks (PCNs), has become a prominent neuroscience…

机器学习 · 计算机科学 2020-12-02 Victor Boutin , Aimen Zerroug , Minju Jung , Thomas Serre

Hierarchical learning models, such as mixture models and Bayesian networks, are widely employed for unsupervised learning tasks, such as clustering analysis. They consist of observable and hidden variables, which represent the given data…

机器学习 · 统计学 2018-01-08 Keisuke Yamazaki

Artificial Neural Networks are connectionist systems that perform a given task by learning on examples without having prior knowledge about the task. This is done by finding an optimal point estimate for the weights in every node.…

机器学习 · 计算机科学 2019-01-10 Kumar Shridhar , Felix Laumann , Marcus Liwicki

Dense image alignment from RGB-D images remains a critical issue for real-world applications, especially under challenging lighting conditions and in a wide baseline setting. In this paper, we propose a new framework to learn a pixel-wise…

计算机视觉与模式识别 · 计算机科学 2020-11-30 Binbin Xu , Andrew J. Davison , Stefan Leutenegger

Inspired by "predictive coding" - a theory in neuroscience, we develop a bi-directional and dynamic neural network with local recurrent processing, namely predictive coding network (PCN). Unlike feedforward-only convolutional neural…

计算机视觉与模式识别 · 计算机科学 2018-10-29 Kuan Han , Haiguang Wen , Yizhen Zhang , Di Fu , Eugenio Culurciello , Zhongming Liu

A key challenge for deploying deep neural networks (DNNs) in safety critical settings is the need to provide rigorous ways to quantify their uncertainty. In this paper, we propose a novel algorithm for constructing predicted classification…

机器学习 · 计算机科学 2021-03-19 Sangdon Park , Shuo Li , Insup Lee , Osbert Bastani

In this paper we consider the limiting case of neural networks (NNs) architectures when the number of neurons in each hidden layer and the number of hidden layers tend to infinity thus forming a continuum, and we derive approximation errors…

机器学习 · 计算机科学 2026-05-12 Christophe Prieur , Mircea Lazar , Bogdan Robu

Copulas are a powerful tool for modeling multivariate distributions as they allow to separately estimate the univariate marginal distributions and the joint dependency structure. However, known parametric copulas offer limited flexibility…

机器学习 · 统计学 2021-11-11 Tim Janke , Mohamed Ghanmi , Florian Steinke

Change detection is one of the central problems in earth observation and was extensively investigated over recent decades. In this paper, we propose a novel recurrent convolutional neural network (ReCNN) architecture, which is trained to…

计算机视觉与模式识别 · 计算机科学 2019-03-27 Lichao Mou , Lorenzo Bruzzone , Xiao Xiang Zhu

We propose Impatient Deep Neural Networks (DNNs) which deal with dynamic time budgets during application. They allow for individual budgets given a priori for each test example and for anytime prediction, i.e., a possible interruption at…

计算机视觉与模式识别 · 计算机科学 2016-10-11 Manuel Amthor , Erik Rodner , Joachim Denzler

The gamma belief network (GBN), often regarded as a deep topic model, has demonstrated its potential for uncovering multi-layer interpretable latent representations in text data. Its notable capability to acquire interpretable latent…

机器学习 · 计算机科学 2024-08-16 Zhibin Duan , Tiansheng Wen , Muyao Wang , Bo Chen , Mingyuan Zhou

We present a new latent model of natural images that can be learned on large-scale datasets. The learning process provides a latent embedding for every image in the training dataset, as well as a deep convolutional network that maps the…

计算机视觉与模式识别 · 计算机科学 2018-11-06 ShahRukh Athar , Evgeny Burnaev , Victor Lempitsky

We present a linear stability analysis of physics-informed random projection neural networks (PI-RPNNs), for the numerical solution of {the initial value problem (IVP)} of (stiff) ODEs. We begin by proving that PI-RPNNs are uniform…

Convolutional neural network (CNN) is a class of artificial neural networks widely used in computer vision tasks. Most CNNs achieve excellent performance by stacking certain types of basic units. In addition to increasing the depth and…

计算机视觉与模式识别 · 计算机科学 2021-02-09 Junyi An , Fengshan Liu , Jian Zhao , Furao Shen

Convolutional Neural Networks (CNNs) have exhibited great performance in discriminative feature learning for complex visual tasks. Besides discrimination power, interpretability is another important yet under-explored property for CNNs. One…

计算机视觉与模式识别 · 计算机科学 2023-12-20 Wengang Guo , Jiayi Yang , Huilin Yin , Qijun Chen , Wei Ye

We describe the class of convexified convolutional neural networks (CCNNs), which capture the parameter sharing of convolutional neural networks in a convex manner. By representing the nonlinear convolutional filters as vectors in a…

机器学习 · 计算机科学 2016-09-06 Yuchen Zhang , Percy Liang , Martin J. Wainwright

We present a probabilistic model with discrete latent variables that control the computation time in deep learning models such as ResNets and LSTMs. A prior on the latent variables expresses the preference for faster computation. The amount…

机器学习 · 计算机科学 2017-12-04 Michael Figurnov , Artem Sobolev , Dmitry Vetrov

Bayesian neural networks (BNNs) with latent variables are probabilistic models which can automatically identify complex stochastic patterns in the data. We describe and study in these models a decomposition of predictive uncertainty into…

We introduce segmental recurrent neural networks (SRNNs) which define, given an input sequence, a joint probability distribution over segmentations of the input and labelings of the segments. Representations of the input segments (i.e.,…

计算与语言 · 计算机科学 2016-03-03 Lingpeng Kong , Chris Dyer , Noah A. Smith