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Inverse problems aim to determine model parameters of a mathematical problem from given observational data. Neural networks can provide an efficient tool to solve these problems. In the context of Bayesian inverse problems, Uncertainty…

数值分析 · 数学 2025-09-16 Andrea Tonini , Tan Bui-Thanh , Francesco Regazzoni , Luca Dede' , Alfio Quarteroni

Separating shared and independent features is crucial for multi-phase contrast-enhanced (CE) MRI synthesis. However, existing methods use deep autoencoder generators with low parameter efficiency and lack interpretable training strategies.…

计算机视觉与模式识别 · 计算机科学 2025-10-06 Xiaoyan Kui , Qianmu Xiao , Qqinsong Li , Zexin Ji , JIelin Zhang , Beiji Zou

We extend two methods of independent component analysis, fourth order blind identification and joint approximate diagonalization of eigen-matrices, to vector-valued functional data. Multivariate functional data occur naturally and…

统计理论 · 数学 2020-09-04 Joni Virta , Bing Li , Klaus Nordhausen , Hannu Oja

Cryo-electron microscopy (cryo-EM) has revolutionized experimental protein structure determination. Despite advances in high resolution reconstruction, a majority of cryo-EM experiments provide either a single state of the studied…

Since the mid-2000s, there has been a resurrection of interest in modern modifications of fiducial inference. To date, the main computational tool to extract a generalized fiducial distribution is Markov chain Monte Carlo (MCMC). We propose…

统计方法学 · 统计学 2020-07-09 Gang Li , Jan Hannig

Variational autoencoders (VAE) represent a popular, flexible form of deep generative model that can be stochastically fit to samples from a given random process using an information-theoretic variational bound on the true underlying…

机器学习 · 计算机科学 2019-10-08 Bin Dai , Yu Wang , John Aston , Gang Hua , David Wipf

Mining genuine mechanisms underlying the complex data generation process in real-world systems is a fundamental step in promoting interpretability of, and thus trust in, data-driven models. Therefore, we propose a variation-based cause…

人工智能 · 计算机科学 2022-11-23 Mohamed Amine ben Salem , Karim Said Barsim , Bin Yang

Layout design with complex constraints is a challenging problem to solve due to the non-uniqueness of the solution and the difficulties in incorporating the constraints into the conventional optimization-based methods. In this paper, we…

信号处理 · 电气工程与系统科学 2018-06-11 Yujie Zhang , Wenjing Ye

Feature selection is critical in machine learning to reduce dimensionality and improve model accuracy and efficiency. The exponential growth in feature space dimensionality for modern datasets directly results in ambiguous samples and…

量子物理 · 物理学 2023-11-30 Haiyan Wang

The three-dimensional velocity field of a propeller driven liquid metal flow is reconstructed by a contactless inductive flow tomography (CIFT). The underlying theory is presented within the framework of an integral equation system that…

流体动力学 · 物理学 2007-05-23 Frank Stefani , Thomas Gundrum , Gunter Gerbeth

Identifying defect patterns in a wafer map during manufacturing is crucial to find the root cause of the underlying issue and provides valuable insights on improving yield in the foundry. Currently used methods use deep neural networks to…

计算机视觉与模式识别 · 计算机科学 2023-10-18 Nitish Shukla

Variational Autoencoders (VAEs) have recently been highly successful at imputing and acquiring heterogeneous missing data. However, within this specific application domain, existing VAE methods are restricted by using only one layer of…

机器学习 · 计算机科学 2022-12-23 Ignacio Peis , Chao Ma , José Miguel Hernández-Lobato

We develop a cut finite element method (CutFEM) for the convection problem in a so called fractured domain which is a union of manifolds of different dimensions such that a $d$ dimensional component always resides on the boundary of a $d+1$…

数值分析 · 数学 2019-02-05 Erik Burman , Peter Hansbo , Mats G. Larson , Karl Larsson

In the field of machine learning, it is still a critical issue to identify and supervise the learned representation without manually intervening or intuition assistance to extract useful knowledge or serve for the downstream tasks. In this…

机器学习 · 计算机科学 2025-12-10 Shiqi Liu , Jingxin Liu , Qian Zhao , Xiangyong Cao , Huibin Li , Deyu Meng , Hongying Meng , Sheng Liu

Composed Image Retrieval (CIR) is a cross-modal task that aims to retrieve target images from large-scale databases using a reference image and a modification text. Most existing methods rely on a single model to perform feature fusion and…

图形学 · 计算机科学 2025-12-19 Yawei Cai , Jiapeng Mi , Nan Ji , Haotian Rong , Yawei Zhang , Zhangti Li , Wenbin Guo , Rensong Xie

A cross-benchmark has been done on three critical aspects, data imputing, feature selection and regression algorithms, for machine learning based chemical vapor deposition (CVD) virtual metrology (VM). The result reveals that linear feature…

机器学习 · 计算机科学 2021-07-29 Yunsong Xie , Ryan Stearrett

We present our current progress in the holographic computation of the scattering amplitude for Deeply Virtual Compton Scattering (DVCS) processe, as a function of the Mandelstam invariant $t$. We show that it is possible to describe…

高能物理 - 唯象学 · 物理学 2021-07-07 Artur Amorim , Miguel S. Costa , Robert C. Quevedo

We consider a time fractional differential equation of order $\alpha$, $0<\alpha<1$, $$ \frac{\partial c(x,t)}{\partial t}={}^C_0\mathcal{D}_t^{\alpha}[(Ac)(x,t)]+q(x,t) ,\quad x > 0, t > 0, \quad c(x,0)=f(x). $$ where…

综合数学 · 数学 2014-08-13 Iftikhar Ali , Bilal Chanane , Nadeem A. Malik

In this paper, we explore the use of a variational autoencoder (VAE), a deep generative model, to compress and generate images of dark matter density fields from $\Lambda$CDM like cosmological simulations. The VAE learns a compact,…

宇宙学与河外天体物理 · 物理学 2025-07-25 Jazhiel Chacón-Lavanderos , Isidro Gómez-Vargas , Ricardo Menchaca-Mendez , J. Alberto Vázquez

In the domain of computer vision, the restoration of missing information in video frames is a critical challenge, particularly in applications such as autonomous driving and surveillance systems. This paper introduces the Siamese Masked…

计算机视觉与模式识别 · 计算机科学 2024-01-22 Yongchen Zhou , Richard Jiang