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Neural networks are a commonly used approach to replace physical models with computationally cheap surrogates. Parametric uncertainty quantification can be included in training, assuming that an accurate prior distribution of the model…

Machine Learning · Computer Science 2026-03-12 Heikki Haario , Zhi-Song Liu , Martin Simon , Hendrik Weichel

Convolutional neural networks (CNNs) have achieved remarkable success in representing and simulating complex spatio-temporal dynamic systems within the burgeoning field of scientific machine learning. However, optimal control of CNNs poses…

Optimization and Control · Mathematics 2024-10-15 Ali Vaziri , Huazhen Fang

Fine-grained visual classification (FGVC) aims to distinguish the sub-classes of the same category and its essential solution is to mine the subtle and discriminative regions. Convolution neural networks (CNNs), which employ the cross…

Computer Vision and Pattern Recognition · Computer Science 2020-12-22 Siqing Zhang , Ruoyi Du , Dongliang Chang , Zhanyu Ma , Jun Guo

While Model Predictive Control (MPC) enforces safety via constraints, its real-time execution can exceed embedded compute budgets. We propose a Barrier-integrated Adaptive Neural Model Predictive Control (BAN-MPC) framework that synergizes…

Robotics · Computer Science 2025-09-09 Kaikai Wang , Tianxun Li , Liang Xu , Qinglei Hu , Keyou You

Kinetic equations play a major rule in modeling large systems of interacting particles. Uncertainties may be due to various reasons, like lack of knowledge on the microscopic interaction details or incomplete informations at the boundaries.…

Numerical Analysis · Mathematics 2019-05-01 Giacomo Dimarco , Lorenzo Pareschi

Many problems in machine learning are naturally expressed in the language of undirected graphical models. Here, we propose black-box learning and inference algorithms for undirected models that optimize a variational approximation to the…

Machine Learning · Computer Science 2017-11-20 Volodymyr Kuleshov , Stefano Ermon

In this paper, we study a regularised relaxed optimal control problem and, in particular, we are concerned with the case where the control variable is of large dimension. We introduce a system of mean-field Langevin equations, the invariant…

Probability · Mathematics 2019-10-07 Kaitong Hu , Anna Kazeykina , Zhenjie Ren

In the freeway network control (FNC) problem, the operation of a traffic network is optimized using only flow control. For special cases of the FNC problem, in particular the case when all merging flows are controlled, there exist tight…

Optimization and Control · Mathematics 2018-03-30 Marius Schmitt , John Lygeros

We show that Markov couplings can be used to improve the accuracy of Markov chain Monte Carlo calculations in some situations where the steady-state probability distribution is not explicitly known. The technique generalizes the notion of…

Numerical Analysis · Mathematics 2015-05-13 Jonathan B. Goodman , Kevin K. Lin

Recent works use the Neural radiance field (NeRF) to perform multi-view 3D reconstruction, providing a significant leap in rendering photorealistic scenes. However, despite its efficacy, NeRF exhibits limited capability of learning…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Congyue Deng , Jiawei Yang , Leonidas Guibas , Yue Wang

Learning visual representations with self-supervised learning has become popular in computer vision. The idea is to design auxiliary tasks where labels are free to obtain. Most of these tasks end up providing data to learn specific kinds of…

Computer Vision and Pattern Recognition · Computer Science 2017-08-16 Xiaolong Wang , Kaiming He , Abhinav Gupta

The introduction of Neural Quantum States (NQS) has recently given a new twist to variational Monte Carlo (VMC). The ability to systematically reduce the bias of the wave function ansatz renders the approach widely applicable. However,…

Computational Physics · Physics 2023-02-08 Markus Schmitt , Moritz Reh

With neural networks being used to control safety-critical systems, they increasingly have to be both accurate (in the sense of matching inputs to outputs) and robust. However, these two properties are often at odds with each other and a…

Systems and Control · Electrical Eng. & Systems 2024-05-30 Ross Drummond , Chris Guiver , Matthew C. Turner

Recently, Convolutional Neural Networks (CNNs) have been widely used to solve the illuminant estimation problem and have often led to state-of-the-art results. Standard approaches operate directly on the input image. In this paper, we argue…

Image and Video Processing · Electrical Eng. & Systems 2021-11-11 Firas Laakom , Jenni Raitoharju , Jarno Nikkanen , Alexandros Iosifidis , Moncef Gabbouj

Hamiltonian Monte Carlo is a powerful algorithm for sampling from difficult-to-normalize posterior distributions. However, when the geometry of the posterior is unfavorable, it may take many expensive evaluations of the target distribution…

Recent advances in machine learning have become increasingly popular in the applications of phase transitions and critical phenomena. By machine learning approaches, we try to identify the physical characteristics in the two-dimensional…

Disordered Systems and Neural Networks · Physics 2021-01-25 Shu Cheng , Fei He , Huai Zhang , Ka-Di Zhu , Yaolin Shi

In this work, we study the approximation of expected values of functional quantities on the solution of a stochastic differential equation (SDE), where we replace the Monte Carlo estimation with the evaluation of a deep neural network. Once…

Numerical Analysis · Mathematics 2021-02-18 Thomas Gerstner , Bastian Harrach , Daniel Roth , Martin Simon

Convolutional Neural Networks (CNN) have been successfully applied to autonomous driving tasks, many in an end-to-end manner. Previous end-to-end steering control methods take an image or an image sequence as the input and directly predict…

Computer Vision and Pattern Recognition · Computer Science 2018-02-06 Zhengyuan Yang , Yixuan Zhang , Jerry Yu , Junjie Cai , Jiebo Luo

While variational methods have been among the most powerful tools for solving linear inverse problems in imaging, deep (convolutional) neural networks have recently taken the lead in many challenging benchmarks. A remaining drawback of deep…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Tim Meinhardt , Michael Moeller , Caner Hazirbas , Daniel Cremers

Training neural video codec (NVC) with variable rate is a highly challenging task due to its complex training strategies and model structure. In this paper, we train an efficient variable bitrate neural video codec (EV-NVC) with the…

Multimedia · Computer Science 2025-11-04 Yongcun Hu , Yingzhen Zhai , Jixiang Luo , Wenrui Dai , Dell Zhang , Hongkai Xiong , Xuelong Li