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相关论文: Autoinverse: Uncertainty Aware Inversion of Neural…

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Artificial neural networks will always make a prediction, even when completely uncertain and regardless of the consequences. This obliviousness of uncertainty is a major obstacle towards their adoption in practice. Techniques exist,…

机器学习 · 计算机科学 2021-05-13 Hans Weytjens , Jochen De Weerdt

The Bayesian approach to inverse problems typically relies on posterior sampling approaches, such as Markov chain Monte Carlo, for which the generation of each sample requires one or more evaluations of the parameter-to-observable map or…

统计计算 · 统计学 2014-12-23 Jinglai Li , Youssef M. Marzouk

Over the year, people have been using deep learning to tackle inversion problems, and we see the framework has been applied to build relationship between recording wavefield and velocity (Yang et al., 2016). Here we will extend the work…

机器学习 · 计算机科学 2022-01-07 Cheng Zhan , Licheng Zhang , Xin Zhao , Chang-Chun Lee , Shujiao Huang

Physics-Informed Neural Networks (PINNs) have recently shown great promise as a way of incorporating physics-based domain knowledge, including fundamental governing equations, into neural network models for many complex engineering systems.…

机器学习 · 计算机科学 2021-05-06 Jian Cheng Wong , Chinchun Ooi , Pao-Hsiung Chiu , My Ha Dao

Recent work demonstrated that flow-based invertible neural networks are promising tools for solving ambiguous inverse problems. Following up on this, we investigate how ten invertible architectures and related models fare on two intuitive,…

机器学习 · 计算机科学 2021-06-23 Jakob Kruse , Lynton Ardizzone , Carsten Rother , Ullrich Köthe

Bayesian inverse modeling is important for a better understanding of hydrological processes. However, this approach can be computationally demanding, as it usually requires a large number of model evaluations. To address this issue, one can…

统计计算 · 统计学 2020-02-24 Jiangjiang Zhang , Qiang Zheng , Dingjiang Chen , Laosheng Wu , Lingzao Zeng

In coming up with solutions to real-world problems, humans implicitly adhere to constraints that are too numerous and complex to be specified completely. However, reinforcement learning (RL) agents need these constraints to learn the…

机器学习 · 计算机科学 2024-06-25 Sriram Ganapathi Subramanian , Guiliang Liu , Mohammed Elmahgiubi , Kasra Rezaee , Pascal Poupart

Inverse problems are central to a wide range of fields, including healthcare, climate science, and agriculture. They involve the estimation of inputs, typically via iterative optimization, to some known forward model so that it produces a…

机器学习 · 计算机科学 2025-06-24 Sean Memery , Kevin Denamganai , Anna Kapron-King , Kartic Subr

Inverse design in science and engineering involves determining optimal design parameters that achieve desired performance outcomes, a process often hindered by the complexity and high dimensionality of design spaces, leading to significant…

机器学习 · 计算机科学 2025-02-24 Luka Grbcic , Juliane Müller , Wibe Albert de Jong

Decision support systems often rely on solving complex optimization problems that may require to estimate uncertain parameters beforehand. Recent studies have shown how using traditionally trained estimators for this task can lead to…

机器学习 · 计算机科学 2025-12-19 Gaetano Signorelli , Michele Lombardi

In this study, we explore the integration of Neural Networks, a powerful class of functions known for their exceptional approximation capabilities. Our primary emphasis is on the integration of multi-layer Neural Networks, a challenging…

数值分析 · 数学 2024-03-20 Yucong Liu

We propose a simple and effective method to estimate the uncertainty of closed-source deep neural network image classification models. Given a base image, our method creates multiple transformed versions and uses them to query the top-1…

计算机视觉与模式识别 · 计算机科学 2024-05-24 Konstantinos Pitas , Julyan Arbel

Modern robotics is gravitating toward increasingly collaborative human robot interaction. Tools such as acceleration policies can naturally support the realization of reactive, adaptive, and compliant robots. These tools require us to model…

机器人学 · 计算机科学 2017-10-09 Daniel Kappler , Franziska Meier , Nathan Ratliff , Stefan Schaal

The linear inverse problem is fundamental to the development of various scientific areas. Innumerable attempts have been carried out to solve different variants of the linear inverse problem in different applications. Nowadays, the rapid…

信号处理 · 电气工程与系统科学 2020-10-30 Yanna Bai , Wei Chen , Jie Chen , Weisi Guo

For computational efficiency, surrogate models have been used to emulate mathematical simulators for physical or biological processes. High-speed simulation is crucial for conducting uncertainty quantification (UQ) when the simulation is…

机器学习 · 计算机科学 2022-11-21 Lixiang Zhang , Jia Li

Solving inverse problems in cardiac electrophysiology consists in the recovery of physiological parameters from surface electrocardiogram (ECG) measurements, a task which is often computationally unfeasible due to the severe ill-posedness…

Neural networks functions are supposed to be able to encode the desired solution of an inverse problem very efficiently. In this paper, we consider the problem of solving linear inverse problems with neural network coders. First we…

泛函分析 · 数学 2023-03-27 Otmar Scherzer , Bernd Hofmann , Zuhair Nashed

Layout designs are encountered in a variety of fields. For problems with many design degrees of freedom, efficiency of design methods becomes a major concern. In recent years, machine learning methods such as artificial neural networks have…

机器学习 · 计算机科学 2021-02-01 Chao Qian , Renkai Tan , Wenjing Ye

The ongoing development of quantum processors is driving breakthroughs in scientific discovery. Despite this progress, the formidable cost of fabricating large-scale quantum processors means they will remain rare for the foreseeable future,…

量子物理 · 物理学 2025-07-24 Wei-You Liao , Yuxuan Du , Xinbiao Wang , Tian-Ci Tian , Yong Luo , Bo Du , Dacheng Tao , He-Liang Huang

Fourier Neural Operator (FNO) is a powerful and popular operator learning method. However, FNO is mainly used in forward prediction, yet a great many applications rely on solving inverse problems. In this paper, we propose an invertible…

机器学习 · 计算机科学 2025-05-07 Da Long , Zhitong Xu , Qiwei Yuan , Yin Yang , Shandian Zhe
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