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A neural network model of a differential equation, namely neural ODE, has enabled the learning of continuous-time dynamical systems and probabilistic distributions with high accuracy. The neural ODE uses the same network repeatedly during a…

机器学习 · 计算机科学 2021-10-20 Takashi Matsubara , Yuto Miyatake , Takaharu Yaguchi

We present an approach for forming sensitivity maps (or sensitivites) using ensembles. The method is an alternative to using an adjoint, which can be very challenging to formulate and also computationally expensive to solve. The main…

计算工程、金融与科学 · 计算机科学 2018-09-21 C. E. Heaney , P. Salinas , F. Fang , C. C. Pain , I. M. Navon

Many signal processing applications such as acoustic echo cancellation and wireless channel estimation require identifying systems where only a small fraction of coefficients are actually active, i.e. sparse systems. Zero-attracting…

信号处理 · 电气工程与系统科学 2026-03-17 Mohammad Salman , Hadi Zayyani , Felipe A. P. de Figueiredo , Hasan Abu Hilal , Mostafa Rashdan

High-fidelity flow simulations are indispensable when analyzing systems exhibiting multiphase flow phenomena. The accuracy of multiphase flow simulations is strongly contingent upon the finest mesh resolution used to represent the…

The numerical simulation of large-scale multiphase flow in porous media is of considerable importance across various application fields, particularly in the petroleum industry. The fully implicit method is preferred in reservoir simulations…

数值分析 · 数学 2026-04-13 Shizhe Li , Li Zhao , Chen-Song Zhang

This paper presents an efficient method for extracting the second-order sensitivities from a system of implicit nonlinear equations on upcoming graphical processing units (GPU) dominated computer systems. We design a custom automatic…

Scene flow estimation, which aims to predict per-point 3D displacements of dynamic scenes, is a fundamental task in the computer vision field. However, previous works commonly suffer from unreliable correlation caused by locally constrained…

计算机视觉与模式识别 · 计算机科学 2024-05-13 Jiuming Liu , Guangming Wang , Weicai Ye , Chaokang Jiang , Jinru Han , Zhe Liu , Guofeng Zhang , Dalong Du , Hesheng Wang

We consider time series data modeled by ordinary differential equations (ODEs), widespread models in physics, chemistry, biology and science in general. The sensitivity analysis of such dynamical systems usually requires calculation of…

统计方法学 · 统计学 2017-09-20 Valdemar Melicher , Tom Haber , Wim Vanroose

Data association problems are an important component of many computer vision applications, with multi-object tracking being one of the most prominent examples. A typical approach to data association involves finding a graph matching or…

计算机视觉与模式识别 · 计算机科学 2017-06-27 Samuel Schulter , Paul Vernaza , Wongun Choi , Manmohan Chandraker

Although with progress in introducing auxiliary amortized inference models, learning discrete latent variable models is still challenging. In this paper, we show that the annoying difficulty of obtaining reliable stochastic gradients for…

机器学习 · 统计学 2020-05-29 Zhijian Ou , Yunfu Song

More and more distributed software systems are being developed and deployed today. Like other software, distributed software systems also need very strong quality assurance support. Distributed software is often very large/complex, has…

分布式、并行与集群计算 · 计算机科学 2023-03-08 Xiaoqin Fu

Diffusion Transformers (DiTs) have gained increasing adoption in high-quality image and video generation. As demand for higher-resolution images and longer videos increases, single-GPU inference becomes inefficient due to increased latency…

分布式、并行与集群计算 · 计算机科学 2026-05-26 Jiacheng Yang , Jun Wu , Yaoyao Ding , Zhiying Xu , Yida Wang , Gennady Pekhimenko

Shallow free surface flows are often characterized by both subdomains that require high modeling complexity and subdomains that can be sufficiently accurately modeled with low modeling complexity. Moreover, these subdomains may change in…

流体动力学 · 物理学 2025-11-04 Rik Verbiest , Julian Koellermeier

The importance of aggregated count data, which is calculated from the data of multiple individuals, continues to increase. Collective Graphical Model (CGM) is a probabilistic approach to the analysis of aggregated data. One of the most…

机器学习 · 统计学 2021-02-19 Yasunori Akagi , Naoki Marumo , Hideaki Kim , Takeshi Kurashima , Hiroyuki Toda

Most methods for Bundle Adjustment (BA) in computer vision are either centralized or operate incrementally. This leads to poor scaling and affects the quality of solution as the number of images grows in large scale structure from motion…

计算机视觉与模式识别 · 计算机科学 2017-08-29 Karthikeyan Natesan Ramamurthy , Chung-Ching Lin , Aleksandr Aravkin , Sharath Pankanti , Raphael Viguier

The fractional advection-dispersion equation (FADE) has attracted increased attention from researchers as it provides an accurate description for challenging phenomenas with long-range time memory and spatial interactions, such as the…

数值分析 · 数学 2019-02-12 Huan Liu , Hong Wang , Xiangcheng Zheng

We present and mathematically analyze an online adjoint algorithm for the optimization of partial differential equations (PDEs). Traditional adjoint algorithms would typically solve a new adjoint PDE at each optimization iteration, which…

最优化与控制 · 数学 2022-01-27 Justin Sirignano , Konstantinos Spiliopoulos

Dimension reduction is often the first step in statistical modeling or prediction of multivariate spatial data. However, most existing dimension reduction techniques do not account for the spatial correlation between observations and do not…

统计方法学 · 统计学 2025-05-27 Si Cheng , Magali N. Blanco , Timothy V. Larson , Lianne Sheppard , Adam Szpiro , Ali Shojaie

Multi-agent distributed consensus optimization problems arise in many signal processing applications. Recently, the alternating direction method of multipliers (ADMM) has been used for solving this family of problems. ADMM based distributed…

系统与控制 · 计算机科学 2015-06-18 Tsung-Hui Chang , Mingyi Hong , Xiangfeng Wang

In this paper, we consider the problem of accelerating the numerical simulation of time dependent problems by time domain decomposition. The available algorithms enabling such decompositions present severe efficiency limitations and are an…

数值分析 · 数学 2020-03-27 Y. Maday , O. Mula