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Articulated objects are pervasive in daily life. However, due to the intrinsic high-DoF structure, the joint states of the articulated objects are hard to be estimated. To model articulated objects, two kinds of shape deformations namely…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Han Xue , Liu Liu , Wenqiang Xu , Haoyuan Fu , Cewu Lu

We propose conformable Adomian decomposition method (CADM) for fractional partial differential equations (FPDEs). This method is a new Adomian decomposition method (ADM) based on conformable derivative operator (CDO) to solve FPDEs. At the…

General Mathematics · Mathematics 2017-04-11 Omer Acan , Dumitru Baleanu

Stochastic optimization plays a crucial role in the advancement of deep learning technologies. Over the decades, significant effort has been dedicated to improving the training efficiency and robustness of deep neural networks, via various…

Machine Learning · Computer Science 2024-08-21 Huixiu Jiang , Ling Yang , Yu Bao , Rutong Si , Sikun Yang

In the paper, we propose a class of faster adaptive Gradient Descent Ascent (GDA) methods for solving the nonconvex-strongly-concave minimax problems by using the unified adaptive matrices, which include almost all existing coordinate-wise…

Optimization and Control · Mathematics 2023-02-22 Feihu Huang , Xidong Wu , Zhengmian Hu

In point cloud analysis tasks, the existing local feature aggregation descriptors (LFAD) are unable to fully utilize information in the neighborhood of central points. Previous methods rely solely on Euclidean distance to constrain the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Haotian Hu , Fanyi Wang , Jingwen Su , Hongtao Zhou , Yaonong Wang , Laifeng Hu , Yanhao Zhang , Zhiwang Zhang

This paper investigates the data-driven pricing newsvendor problem, which focuses on maximizing expected profit by deciding on inventory and pricing levels based on historical demand and feature data. We first build an approximate model by…

Optimization and Control · Mathematics 2023-05-12 Wenxuan Liu , Zhihai Zhang

We consider the problem of composed image retrieval that takes an input query consisting of an image and a modification text indicating the desired changes to be made on the image and retrieves images that match these changes. Current…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Prateksha Udhayanan , Srikrishna Karanam , Balaji Vasan Srinivasan

An increasing number of works explore collaborative human-computer systems in which human gaze is used to enhance computer vision systems. For object detection these efforts were so far restricted to late integration approaches that have…

Computer Vision and Pattern Recognition · Computer Science 2015-05-22 Iaroslav Shcherbatyi , Andreas Bulling , Mario Fritz

Image segmentation is the problem of partitioning an image into different subsets, where each subset may have a different characterization in terms of color, intensity, texture, and/or other features. Segmentation is a fundamental component…

Computer Vision and Pattern Recognition · Computer Science 2015-11-03 M. Abdelsamea

Efficient classical optimizers are crucial in practical implementations of Variational Quantum Algorithms (VQAs). In particular, to make Stochastic Gradient Descent (SGD) resource efficient, adaptive strategies have been proposed to…

Quantum Physics · Physics 2023-02-10 Kosuke Ito

Low-rank matrix estimation is a canonical problem that finds numerous applications in signal processing, machine learning and imaging science. A popular approach in practice is to factorize the matrix into two compact low-rank factors, and…

Machine Learning · Computer Science 2021-06-16 Tian Tong , Cong Ma , Yuejie Chi

Auto-Regressive (AR) models have achieved impressive results in 2D image generation by modeling joint distributions in the grid space. While this approach has been extended to the 3D domain for powerful shape generation, it still has two…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Simian Luo , Xuelin Qian , Yanwei Fu , Yinda Zhang , Ying Tai , Zhenyu Zhang , Chengjie Wang , Xiangyang Xue

Matching deformable objects using their shapes is an important problem in computer vision since shape is perhaps the most distinguishable characteristic of an object. The problem is difficult due to many factors such as intra-class…

Computer Vision and Pattern Recognition · Computer Science 2015-04-28 Smit Marvaniya , Raj Gupta , Anurag Mittal

In many high-dimensional estimation problems the main task consists in minimizing a cost function, which is often strongly non-convex when scanned in the space of parameters to be estimated. A standard solution to flatten the corresponding…

Machine Learning · Statistics 2020-09-04 Giulio Biroli , Chiara Cammarota , Federico Ricci-Tersenghi

In landscape-aware algorithm selection problem, the effectiveness of feature-based predictive models strongly depends on the representativeness of training data for practical applications. In this work, we investigate the potential of…

Machine Learning · Computer Science 2024-09-04 Fu Xing Long , Moritz Frenzel , Peter Krause , Markus Gitterle , Thomas Bäck , Niki van Stein

An adaptive modeling method (AMM) that couples a deep neural network potential and a classical force field is introduced to address the accuracy-efficiency dilemma faced by the molecular simulation community. The AMM simulated system is…

Chemical Physics · Physics 2018-11-14 Linfeng Zhang , Han Wang , Weinan E

Algebraic multigrid (AMG) methods are among the most efficient solvers for linear systems of equations and they are widely used for the solution of problems stemming from the discretization of Partial Differential Equations (PDEs). The most…

Numerical Analysis · Mathematics 2025-06-18 Matteo Caldana , Paola F. Antonietti , Luca Dede'

A central problem in data science is to use potentially noisy samples of an unknown function to predict values for unseen inputs. In classical statistics, predictive error is understood as a trade-off between the bias and the variance that…

Statistics Theory · Mathematics 2025-06-04 Mark K. Transtrum , Gus L. W. Hart , Tyler J. Jarvis , Jared P. Whitehead

We introduce Autoregressive Graphical Models (AGMs) as an Ansatz for modeling the ground states of stoquastic Hamiltonians. Exact learning of these models for smaller systems show the dominance of the pairwise terms in the autoregressive…

In this paper, we explore two fundamental first-order algorithms in convex optimization, namely, gradient descent (GD) and proximal gradient method (ProxGD). Our focus is on making these algorithms entirely adaptive by leveraging local…

Optimization and Control · Mathematics 2024-02-13 Yura Malitsky , Konstantin Mishchenko
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