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We introduce a novel algorithm for solving learning problems where both the loss function and the regularizer are non-convex but belong to the class of difference of convex (DC) functions. Our contribution is a new general purpose proximal…

Machine Learning · Computer Science 2015-07-03 Alain Rakotomamonjy , Remi Flamary , Gilles Gasso

Phasor Measurement Units (PMUs) are essential measuring devices for monitoring, control and protection of power systems. The objective of the optimal PMU placement (OPP) problem is to minimize the number of PMUs and select the bus locations…

Optimization and Control · Mathematics 2015-08-25 Nikolaos Theodorakatos , Nikolaos Manousakis , George Korres

Large-scale vision-language (V-L) models have demonstrated remarkable generalization capabilities for downstream tasks through prompt tuning. However, the mechanisms behind the learned text representations are unknown, limiting further…

Computer Vision and Pattern Recognition · Computer Science 2023-09-08 Didi Zhu , Zexi Li , Min Zhang , Junkun Yuan , Yunfeng Shao , Jiashuo Liu , Kun Kuang , Yinchuan Li , Chao Wu

This paper considers decentralized consensus optimization problems where nodes of a network have access to different summands of a global objective function. Nodes cooperate to minimize the global objective by exchanging information with…

Optimization and Control · Mathematics 2016-09-21 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

Some conventional transforms such as Discrete Walsh-Hadamard Transform (DWHT) and Discrete Cosine Transform (DCT) have been widely used as feature extractors in image processing but rarely applied in neural networks. However, we found that…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Joonhyun Jeong , Sung-Ho Bae

Nonnegative sparse signal recovery has been extensively studied due to its broad applications. Recent work has integrated rectified linear unit (ReLU) techniques to enhance existing recovery algorithms. We merge Newton-type thresholding…

Signal Processing · Electrical Eng. & Systems 2026-02-19 Ning Bian , Zhong-Feng Sun , Yun-Bin Zhao , Jin-Chuan Zhou , Nan Meng

We present a determinantal point process (DPP) inspired alternative to non-maximum suppression (NMS) which has become an integral step in all state-of-the-art object detection frameworks. DPPs have been shown to encourage diversity in…

Computer Vision and Pattern Recognition · Computer Science 2024-06-21 Samik Some , Mithun Das Gupta , Vinay P. Namboodiri

We present a new convex method to estimate 3D pose from mixed combinations of 2D-3D point and line correspondences, the Perspective-n-Points-and-Lines problem (PnPL). We merge the contributions of each point and line into a unified…

Computer Vision and Pattern Recognition · Computer Science 2019-08-12 Sérgio Agostinho , João Gomes , Alessio Del Bue

Test-time adaptation paradigm provides flexibility towards domain shifts by performing immediate adaptation on unlabeled target data from the source model. Vision-Language Models (VLMs) leverage their generalization capabilities for diverse…

Computer Vision and Pattern Recognition · Computer Science 2025-10-20 Jisu Han , Wonjun Hwang

Solving constrained nonlinear optimization problems (CNLPs) is a longstanding problem that arises in various fields, e.g., economics, computer science, and engineering. We propose optimization-informed neural networks (OINN), a deep…

Optimization and Control · Mathematics 2023-06-27 Dawen Wu , Abdel Lisser

In this paper, we present a novel method for solving multiobjective linear programming problems (MOLPP) that overcomes the need to calculate the optimal value of each objective function. This method is a follow-up to our previous work on…

Optimization and Control · Mathematics 2024-07-02 Mustapha Kaci , Sonia Radjef

Locating 3D objects from a single RGB image via Perspective-n-Point (PnP) is a long-standing problem in computer vision. Driven by end-to-end deep learning, recent studies suggest interpreting PnP as a differentiable layer, allowing for…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Hansheng Chen , Wei Tian , Pichao Wang , Fan Wang , Lu Xiong , Hao Li

We propose a distributed version of the Alternating Direction Method of Multipliers (ADMM) with linear updates for directed networks. We show that if the objective function of the minimization problem is smooth and strongly convex, our…

Optimization and Control · Mathematics 2023-09-21 Kiran Rokade , Rachel Kalpana Kalaimani

Change point estimation is often formulated as a search for the maximum of a gain function describing improved fits when segmenting the data. Searching through all candidates requires $O(n)$ evaluations of the gain function for an interval…

Methodology · Statistics 2024-11-22 Solt Kovács , Housen Li , Lorenz Haubner , Axel Munk , Peter Bühlmann

In this paper, we develop a variant of the well-known Gauss-Newton (GN) method to solve a class of nonconvex optimization problems involving low-rank matrix variables. As opposed to the standard GN method, our algorithm allows one to handle…

Optimization and Control · Mathematics 2020-10-27 Quoc Tran-Dinh

Deep learning hyper-parameter optimization is a tough task. Finding an appropriate network configuration is a key to success, however most of the times this labor is roughly done. In this work we introduce a novel library to tackle this…

Machine Learning · Computer Science 2018-07-11 Andrés Camero , Jamal Toutouh , Enrique Alba

In recent years, deep learning-based methods have been proposed for solving inverse scattering problems (ISPs), but most of them heavily rely on data and suffer from limited generalization capabilities. In this paper, a new solving scheme…

Image and Video Processing · Electrical Eng. & Systems 2026-02-19 Yutong Du , Zicheng Liu , Bazargul Matkerim , Changyou Li , Yali Zong , Bo Qi , Jingwei Kou

Computing the regularized solution of Bayesian linear inverse problems as well as the corresponding regularization parameter is highly desirable in many applications. This paper proposes a novel iterative method, termed the Projected Newton…

Numerical Analysis · Mathematics 2025-04-08 Haibo Li

There has been a significant recent surge in deep neural network (DNN) techniques. Most of the existing DNN techniques have restricted model formats/assumptions. To overcome their limitations, we propose the nonparametric transformation…

Methodology · Statistics 2024-10-28 Tong Wang , Shunqin Zhang , Sanguo Zhang , Jian Huang , Shuangge Ma

In the paper, we propose solving optimization problems (OPs) and understanding the Newton method from the optimal control view. We propose a new optimization algorithm based on the optimal control problem (OCP). The algorithm features…

Optimization and Control · Mathematics 2025-04-01 Huanshui Zhang , Hongxia Wang