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We introduce a time-dimensional reduction method for the inverse source problem in linear elasticity, where the goal is to reconstruct the initial displacement and velocity fields from partial boundary measurements of elastic wave…

数值分析 · 数学 2025-06-17 Trong D. Dang , Chanh V. Le , Khoa D. Luu , Loc H Nguyen

Detecting elliptical objects from an image is a central task in robot navigation and industrial diagnosis where the detection time is always a critical issue. Existing methods are hardly applicable to these real-time scenarios of limited…

计算机视觉与模式识别 · 计算机科学 2017-08-02 Qi Jia , Xin Fan , Zhongxuan Luo , Lianbo Song , Tie Qiu

Single-image piece-wise planar 3D reconstruction aims to simultaneously segment plane instances and recover 3D plane parameters from an image. Most recent approaches leverage convolutional neural networks (CNNs) and achieve promising…

计算机视觉与模式识别 · 计算机科学 2019-04-25 Zehao Yu , Jia Zheng , Dongze Lian , Zihan Zhou , Shenghua Gao

Texture is an important spatial feature which plays a vital role in content based image retrieval. The enormous growth of the internet and the wide use of digital data have increased the need for both efficient image database creation and…

计算机视觉与模式识别 · 计算机科学 2011-11-11 B. Vijayalakshmi , V. Subbiah Bharathi

Reconstructing photo-realistic large-scale scenes from images, for example at city scale, is a long-standing problem in computer graphics. Neural rendering is an emerging technique that enables photo-realistic image synthesis from…

图形学 · 计算机科学 2025-07-22 Yaru Liu , Derek Nowrouzezahri , Morgan Mcguire

The precise segmentation of ore images is critical to the successful execution of the beneficiation process. Due to the homogeneous appearance of the ores, which leads to low contrast and unclear boundaries, accurate segmentation becomes…

计算机视觉与模式识别 · 计算机科学 2024-02-28 Guodong Sun , Yuting Peng , Le Cheng , Mengya Xu , An Wang , Bo Wu , Hongliang Ren , Yang Zhang

Bilevel optimization has been widely applied in many important machine learning applications such as hyperparameter optimization and meta-learning. Recently, several momentum-based algorithms have been proposed to solve bilevel optimization…

机器学习 · 计算机科学 2021-12-17 Junjie Yang , Kaiyi Ji , Yingbin Liang

The use of realistic input models has gained popularity in the theory community. Assuming a realistic input model often precludes complicated hypothetical inputs, and the analysis yields bounds that better reflect the behaviour of…

计算几何 · 计算机科学 2022-11-15 Joachim Gudmundsson , Zijin Huang , Sampson Wong

This paper presents a novel algorithm for the modulus operation for FPGA implementation. The proposed algorithm use only addition, subtraction, logical, and bit shift operations, avoiding the complexities and hardware costs associated with…

密码学与安全 · 计算机科学 2025-01-10 W. A. Susantha Wijesinghe

The integral image, an intermediate image representation, has found extensive use in multi-scale local feature detection algorithms, such as Speeded-Up Robust Features (SURF), allowing fast computation of rectangular features at constant…

计算机视觉与模式识别 · 计算机科学 2015-10-20 Shoaib Ehsan , Adrian F. Clark , Naveed ur Rehman , Klaus D. McDonald-Maier

Diffusion models (DMs) have exhibited remarkable efficacy in various image restoration tasks. However, existing approaches typically operate within the high-dimensional pixel space, resulting in high computational overhead. While methods…

计算机视觉与模式识别 · 计算机科学 2026-05-15 Yang Zheng , Wen Li , Zhaoqiang Liu

Polyhedral projection is a main operation of the polyhedron abstract domain.It can be computed via parametric linear programming (PLP), which is more efficient than the classic Fourier-Motzkin elimination method.In prior work, PLP was done…

最优化与控制 · 数学 2019-11-25 Hang Yu , David Monniaux

The 2D Least Median of Squares (LMS) is a popular tool in robust regression because of its high breakdown point: up to half of the input data can be contaminated with outliers without affecting the accuracy of the LMS estimator. The…

计算机视觉与模式识别 · 计算机科学 2015-10-06 Gil Shapira , Tal Hassner

Latent class models are widely used for identifying unobserved subgroups from multivariate categorical data in social sciences, with binary data as a particularly popular example. However, accurately recovering individual latent class…

统计方法学 · 统计学 2026-02-25 Zhongyuan Lyu , Yuqi Gu

With the rapidly increasing rate of microlensing planet detections, microlensing modeling software faces significant challenges in computation efficiency. Here, we develop the Twinkle code, an efficient and robust binary-lens modeling…

天体物理仪器与方法 · 物理学 2025-03-18 Suwei Wang , Lile Wang , Subo Dong

The method of stable random projections is a tool for efficiently computing the $l_\alpha$ distances using low memory, where $0<\alpha \leq 2$ is a tuning parameter. The method boils down to a statistical estimation task and various…

机器学习 · 计算机科学 2008-12-18 Ping Li

These notes survey and explore an emerging method, which we call the low-degree method, for predicting and understanding statistical-versus-computational tradeoffs in high-dimensional inference problems. In short, the method posits that a…

统计理论 · 数学 2019-07-29 Dmitriy Kunisky , Alexander S. Wein , Afonso S. Bandeira

The presented program aims at speeding up the brute force computation of the so-called $L_d$ norm of a matrix $M$ using graphics processing units (GPUs). Alternatives for CPUs have also been implemented, and the algorithm is applicable to…

量子物理 · 物理学 2025-09-18 István Márton , Erika Bene , Péter Diviánszky , Gábor Drótos

Conditional gradients constitute a class of projection-free first-order algorithms for smooth convex optimization. As such, they are frequently used in solving smooth convex optimization problems over polytopes, for which the computational…

最优化与控制 · 数学 2019-10-14 Jelena Diakonikolas , Alejandro Carderera , Sebastian Pokutta

The use of Lagrangian cuts proves effective in enhancing the lower bound of the master problem within the execution of benders-type algorithms, particularly in the context of two-stage stochastic programs. However, even the process of…

最优化与控制 · 数学 2023-12-29 Xiaoyu Luo , Mingming Xu , Chuanhou Gao