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This paper is devoted to the theoretical and numerical investigation of an augmented Lagrangian method for the solution of optimization problems with geometric constraints. Specifically, we study situations where parts of the constraints…

Optimization and Control · Mathematics 2022-04-20 Xiaoxi Jia , Christian Kanzow , Patrick Mehlitz , Gerd Wachsmuth

Lion optimizer is a popular learning-based optimization algorithm in machine learning, which shows impressive performance in training many deep learning models. Although convergence property of the Lion optimizer has been studied, its…

Machine Learning · Computer Science 2026-04-17 Feihu Huang , Guanyi Zhang , Songcan Chen

Machine learning (ML) methods offer a wide range of configurable hyperparameters that have a significant influence on their performance. While accuracy is a commonly used performance objective, in many settings, it is not sufficient.…

Machine Learning · Computer Science 2023-09-27 Romain Egele , Tyler Chang , Yixuan Sun , Venkatram Vishwanath , Prasanna Balaprakash

Vision-Language Models require efficient adaptation to continually emerging downstream tasks. While Parameter-Efficient Fine-Tuning mitigates catastrophic forgetting, assigning isolated modules per task leads to parameter explosion.…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Xuezhi Cui , Dongbo Zhou , Wang Guo , Zeyuan Wang , Ziyu Li , Gaozhi Zhou , Xian Li , Ling Zhao , Wentao Yang , Chao Tao , Haifeng Li

Ultrasound images vary widely across scanners, operators, and anatomical targets, which often causes models trained in one setting to generalize poorly to new hospitals and clinical conditions. The Foundation Model Challenge for Ultrasound…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Ufaq Khan , L. D. M. S. Sai Teja , Ayuba Shakiru , Mai A. Shaaban , Yutong Xie , Muhammad Bilal , Muhammad Haris Khan

For strongly convex objectives that are smooth, the classical theory of gradient descent ensures linear convergence relative to the number of gradient evaluations. An analogous nonsmooth theory is challenging. Even when the objective is…

Optimization and Control · Mathematics 2023-01-19 X. Y. Han , Adrian S. Lewis

In the CNN based object detectors, feature pyramids are widely exploited to alleviate the problem of scale variation across object instances. These object detectors, which strengthen features via a top-down pathway and lateral connections,…

Computer Vision and Pattern Recognition · Computer Science 2020-08-11 Keyang Wang , Lei Zhang

Bounding box regression is an important component in object detection. Recent work achieves promising performance by optimizing the Intersection over Union~(IoU). However, IoU-based loss has the gradient vanish problem in the case of low…

Computer Vision and Pattern Recognition · Computer Science 2022-04-27 Tu Zheng , Shuai Zhao , Yang Liu , Zili Liu , Deng Cai

Recently, multi-objective optimization (MOO) has gained attention for its broad applications in ML, operations research, and engineering. However, MOO algorithm design remains in its infancy and many existing MOO methods suffer from…

Machine Learning · Computer Science 2025-06-26 Zhuqing Liu , Chaosheng Dong , Michinari Momma , Simone Shao , Shaoyuan Xu , Yan Gao , Haibo Yang , Jia Liu

One of the mysteries in the success of neural networks is randomly initialized first order methods like gradient descent can achieve zero training loss even though the objective function is non-convex and non-smooth. This paper demystifies…

Machine Learning · Computer Science 2019-02-06 Simon S. Du , Xiyu Zhai , Barnabas Poczos , Aarti Singh

3D human pose and shape recovery from a monocular RGB image is a challenging task. Existing learning based methods highly depend on weak supervision signals, e.g. 2D and 3D joint location, due to the lack of in-the-wild paired 3D…

Computer Vision and Pattern Recognition · Computer Science 2021-12-28 Zhiwei Liu , Xiangyu Zhu , Lu Yang , Xiang Yan , Ming Tang , Zhen Lei , Guibo Zhu , Xuetao Feng , Yan Wang , Jinqiao Wang

Loss functions play an important role in training deep-network-based object detectors. The most widely used evaluation metric for object detection is Average Precision (AP), which captures the performance of localization and classification…

Computer Vision and Pattern Recognition · Computer Science 2021-12-10 Chenxin Tao , Zizhang Li , Xizhou Zhu , Gao Huang , Yong Liu , Jifeng Dai

The ideal observer (IO) sets an upper performance limit among all observers and has been advocated for assessing and optimizing imaging systems. For general joint detection and estimation (detection-estimation) tasks, estimation ROC (EROC)…

Signal Processing · Electrical Eng. & Systems 2021-12-03 Kaiyan Li , Weimin Zhou , Hua Li , Mark A. Anastasio

We develop subgradient- and gradient-based methods for minimizing strongly convex functions under a notion which generalizes the standard Euclidean strong convexity. We propose a unifying framework for subgradient methods which yields two…

Optimization and Control · Mathematics 2016-08-19 Masaru Ito

Unsupervised domain adaptation approaches have recently succeeded in various medical image segmentation tasks. The reported works often tackle the domain shift problem by aligning the domain-invariant features and minimizing the…

Image and Video Processing · Electrical Eng. & Systems 2023-05-31 Changjie Lu , Shen Zheng , Gaurav Gupta

We introduce some new proximal quasi-Newton methods for unconstrained multiobjective optimization problems (in short, UMOP), where each objective function is the sum of a twice continuously differentiable strongly convex function and a…

Optimization and Control · Mathematics 2022-04-08 Jian-Wen Peng , Jie Ren

The Gromov-Wasserstein (GW) distance serves as a powerful tool for matching objects in metric spaces. However, its traditional formulation is constrained to pairwise matching between single objects, limiting its utility in scenarios and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Aryan Tajmir Riahi , Khanh Dao Duc

We propose Unified-IO, a model that performs a large variety of AI tasks spanning classical computer vision tasks, including pose estimation, object detection, depth estimation and image generation, vision-and-language tasks such as region…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Jiasen Lu , Christopher Clark , Rowan Zellers , Roozbeh Mottaghi , Aniruddha Kembhavi

Nonlinear finite element crash simulations are accurate but computationally expensive, limiting their use in iterative design optimisation. Machine-learning surrogate models based on graph neural networks (GNNs) offer a faster alternative.…

Machine Learning · Computer Science 2026-05-18 Haoran Li , Tobias Lehrer , Yingxue Zhao , Haosu Zhou , Philipp Stocker , Tobias Pfaff , Nan Li

A central challenge in continual learning for large language models (LLMs) is catastrophic forgetting, where adapting to new tasks can substantially degrade performance on previously learned ones. Existing projection-based methods mitigate…

Machine Learning · Computer Science 2026-05-18 Binghang Lu , Zheyuan Deng , Runyu Zhang , Bing Hu , Yunhan Zhao , Yuan Tian , Changhong Mou , Guang Lin , Xiaomin Li