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This paper presents a computational model of concept learning using Bayesian inference for a grammatically structured hypothesis space, and test the model on multisensory (visual and haptics) recognition of 3D objects. The study is…

计算机视觉与模式识别 · 计算机科学 2014-09-25 Ifeoma Nwogu , Goker Erdogan , Ilker Yildirim , Robert Jacobs

In numerical modeling of the Earth System, many processes remain unknown or ill represented (let us quote sub-grid processes, the dependence to unknown latent variables or the non-inclusion of complex dynamics in numerical models) but…

数据分析、统计与概率 · 物理学 2019-03-19 Julien Brajard , Anastase Charantonis , Jérôme Sirven

In this work, we propose an end-to-end graph network that learns forward and inverse models of particle-based physics using interpretable inductive biases. Physics-informed neural networks are often engineered to solve specific problems…

机器学习 · 计算机科学 2022-02-01 Sakthi Kumar Arul Prakash , Conrad Tucker

The diagnosis of cyber-physical systems aims to detect faulty behaviour, its root cause and a mitigation or even prevention policy. Therefore, diagnosis relies on a representation of the system's functional and faulty behaviour combined…

机器学习 · 计算机科学 2021-10-13 Nicolas Olivain , Philipp Tiefenbacher , Jens Kohl

Deep directed generative models have attracted much attention recently due to their expressive representation power and the ability of ancestral sampling. One major difficulty of learning directed models with many latent variables is the…

机器学习 · 计算机科学 2015-06-16 Siqi Nie , Qiang Ji

The Bayesian inference approach is widely used to tackle inverse problems due to its versatile and natural ability to handle ill-posedness. However, it often faces challenges when dealing with situations involving continuous fields or…

数值分析 · 数学 2023-08-28 Xinchao Jiang , Xin Wang , Ziming Wen , Hu Wang

A graphical model is a structured representation of the data generating process. The traditional method to reason over random variables is to perform inference in this graphical model. However, in many cases the generating process is only a…

机器学习 · 统计学 2019-10-31 Victor Garcia Satorras , Zeynep Akata , Max Welling

In this paper, we present a novel approach to accelerate the Bayesian inference process, focusing specifically on the nested sampling algorithms. Bayesian inference plays a crucial role in cosmological parameter estimation, providing a…

天体物理仪器与方法 · 物理学 2024-10-17 Isidro Gómez-Vargas , J. Alberto Vázquez

Projection predictive inference is a decision theoretic Bayesian approach that decouples model estimation from decision making. Given a reference model previously built including all variables present in the data, projection predictive…

统计方法学 · 统计学 2020-10-15 Alejandro Catalina , Paul-Christian Bürkner , Aki Vehtari

We introduce the Probabilistic Generative Adversarial Network (PGAN), a new GAN variant based on a new kind of objective function. The central idea is to integrate a probabilistic model (a Gaussian Mixture Model, in our case) into the GAN…

机器学习 · 计算机科学 2017-08-08 Hamid Eghbal-zadeh , Gerhard Widmer

Material irradiation experiment is dangerous and complex, thus it requires those with a vast advanced expertise to process the images and data manually. In this paper, we propose a generative adversarial model based on prior knowledge and…

计算机视觉与模式识别 · 计算机科学 2018-11-21 Mincong Luo , Xinfu He , Li Liu

We consider the application of deep generative models in propagating uncertainty through complex physical systems. Specifically, we put forth an implicit variational inference formulation that constrains the generative model output to…

机器学习 · 统计学 2018-12-11 Yibo Yang , Paris Perdikaris

This is an introduction to Bayesian inference with a focus on hierarchical models and hyper-parameters. We write primarily for an audience of Bayesian novices, but we hope to provide useful insights for seasoned veterans as well. Examples…

天体物理仪器与方法 · 物理学 2025-05-26 Eric Thrane , Colm Talbot

Recent advances in deep learning have led to a paradigm shift in the field of reversible steganography. A fundamental pillar of reversible steganography is predictive modelling which can be realised via deep neural networks. However,…

机器学习 · 计算机科学 2023-03-08 Ching-Chun Chang

In this paper, we provide a modern synthesis of the classic inverse compositional algorithm for dense image alignment. We first discuss the assumptions made by this well-established technique, and subsequently propose to relax these…

计算机视觉与模式识别 · 计算机科学 2019-04-09 Zhaoyang Lv , Frank Dellaert , James M. Rehg , Andreas Geiger

This is a preliminary version of visual interpretation integrating multiple sensors in SUCCESSOR, an intelligent, model-based vision system. We pursue a thorough integration of hierarchical Bayesian inference with comprehensive physical…

人工智能 · 计算机科学 2013-04-11 Thomas O. Binford , Tod S. Levitt , Wallace B. Mann

We present an algorithm to directly solve numerous image restoration problems (e.g., image deblurring, image dehazing, image deraining, etc.). These problems are highly ill-posed, and the common assumptions for existing methods are usually…

计算机视觉与模式识别 · 计算机科学 2020-03-31 Jinshan Pan , Jiangxin Dong , Yang Liu , Jiawei Zhang , Jimmy Ren , Jinhui Tang , Yu-Wing Tai , Ming-Hsuan Yang

The recent rise of deep learning has led to numerous applications, including solving partial differential equations using Physics-Informed Neural Networks. This approach has proven highly effective in several academic cases. However, their…

数值分析 · 数学 2024-10-07 Marien Chenaud , Frédéric Magoulès , José Alves

We present a method to generate renewable scenarios using Bayesian probabilities by implementing the Bayesian generative adversarial network~(Bayesian GAN), which is a variant of generative adversarial networks based on two interconnected…

最优化与控制 · 数学 2018-02-06 Yize Chen , Pan Li , Baosen Zhang

Humans can learn languages from remarkably little experience. Developing computational models that explain this ability has been a major challenge in cognitive science. Bayesian models that build in strong inductive biases - factors that…

计算与语言 · 计算机科学 2023-05-25 R. Thomas McCoy , Thomas L. Griffiths