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We present a novel Hybrid High-Order (HHO) discretization of fourth-order elliptic problems arising from the mechanical modeling of the bending behavior of Kirchhoff-Love plates, including the biharmonic equation as a particular case. The…

Machine learning algorithms have made remarkable achievements in the field of artificial intelligence. However, most machine learning algorithms are sensitive to the hyper-parameters. Manually optimizing the hyper-parameters is a common…

机器学习 · 计算机科学 2020-03-05 Bozhou Chen , Kaixin Zhang , Longshen Ou , Chenmin Ba , Hongzhi Wang , Chunnan Wang

In this manuscript we would like to address the classical optimization problem of minimizing a proper, convex and lower semicontinuous function via the second order in time dynamics, combining viscous and Hessian-driven damping with a…

最优化与控制 · 数学 2023-03-20 Mikhail Karapetyants

In this article, we consider a local projection stabilisation for a Hybrid High-Order (HHO) approximation of the Oseen problem. We prove an existence-uniqueness result under a stronger SUPG-like norm. We improve the stability and provide…

数值分析 · 数学 2024-10-25 Gouranga Mallik , Rahul Biswas , Thirupathi Gudi

The performance of fine-tuning pre-trained language models largely depends on the hyperparameter configuration. In this paper, we investigate the performance of modern hyperparameter optimization methods (HPO) on fine-tuning pre-trained…

计算与语言 · 计算机科学 2021-06-18 Xueqing Liu , Chi Wang

Bilevel optimization is an important formulation for many machine learning problems. Current bilevel optimization algorithms assume that the gradient of the upper-level function is Lipschitz. However, recent studies reveal that certain…

机器学习 · 计算机科学 2024-01-19 Jie Hao , Xiaochuan Gong , Mingrui Liu

Constrained bilevel optimization tackles nested structures present in constrained learning tasks like constrained meta-learning, adversarial learning, and distributed bilevel optimization. However, existing bilevel optimization methods…

最优化与控制 · 数学 2024-06-05 Wei Yao , Haian Yin , Shangzhi Zeng , Jin Zhang

We present a variational multi-label segmentation algorithm based on a robust Huber loss for both the data and the regularizer, minimized within a convex optimization framework. We introduce a novel constraint on the common areas, to bias…

计算机视觉与模式识别 · 计算机科学 2017-02-28 Byung-Woo Hong , Ja-Keoung Koo , Stefano Soatto

The increasing demand for democratizing machine learning algorithms calls for hyperparameter optimization (HPO) solutions at low cost. Many machine learning algorithms have hyperparameters which can cause a large variation in the training…

机器学习 · 计算机科学 2020-12-24 Qingyun Wu , Chi Wang , Silu Huang

This paper discusses a new variant of the Henry Gas Solubility Optimization (HGSO) Algorithm, called Hybrid HGSO (HHGSO). Unlike its predecessor, HHGSO allows multiple clusters serving different individual meta-heuristic algorithms (i.e.,…

人工智能 · 计算机科学 2021-06-01 Kamal Z. Zamli , Md. Abdul Kader , Saiful Azad , Bestoun S. Ahmed

Bilevel optimization has gained significant attention in recent years due to its broad applications in machine learning. This paper focuses on bilevel optimization in decentralized networks and proposes a novel single-loop algorithm for…

最优化与控制 · 数学 2024-04-24 Youran Dong , Shiqian Ma , Junfeng Yang , Chao Yin

In a Hilbert setting we aim to study a second order in time differential equation, combining viscous and Hessian-driven damping, containing a time scaling parameter function and a Tikhonov regularization term. The dynamical system is…

最优化与控制 · 数学 2024-04-24 Robert Ernö Csetnek , Mikhail A. Karapetyants

An emerging optimisation problem from the real-world applications, named the multi-point dynamic aggregation (MPDA) problem, has become one of the active research topics of the multi-robot system. This paper focuses on a multi-objective…

神经与进化计算 · 计算机科学 2021-05-12 Guanqiang Gao , Bin Xin , Yi Mei , Shuxin Ding , Juan Li

Recently, many machine learning optimizers have been analysed considering them as the asymptotic limit of some differential equations when the step size goes to zero. In other words, the optimizers can be seen as a finite difference scheme…

数值分析 · 数学 2024-07-02 Bilel Bensaid , Gaël Poëtte , Rodolphe Turpault

In this article, we design and analyze a Hybrid High-Order (HHO) finite element approximation for a class of strongly nonlinear boundary value problems. We consider an HHO discretization for a suitable linearized problem and show its…

数值分析 · 数学 2023-09-26 Gouranga Mallik , Thirupathi Gudi

There has been a growing interest in off-policy evaluation in the literature such as recommender systems and personalized medicine. We have so far seen significant progress in developing estimators aimed at accurately estimating the…

机器学习 · 计算机科学 2024-04-24 Yuta Saito , Masahiro Nomura

At the forefront of state-of-the-art human alignment methods are preference optimization methods (*PO). Prior research has often concentrated on identifying the best-performing method, typically involving a grid search over hyperparameters,…

计算与语言 · 计算机科学 2025-04-30 Kian Ahrabian , Xihui Lin , Barun Patra , Vishrav Chaudhary , Alon Benhaim , Jay Pujara , Xia Song

Regulating the importance ratio is critical for the training stability of Group Relative Policy Optimization (GRPO) based frameworks. However, prevailing ratio control methods, such as hard clipping, suffer from non-differentiable…

机器学习 · 计算机科学 2026-03-24 Hongjun Wang , Wei Liu , Weibo Gu , Xing Sun , Kai Han

Drawing inspiration from the philosophy of Yi Jing, the Yin-Yang pair optimization (YYPO) algorithm has been shown to achieve competitive performance in single objective optimizations, in addition to the advantage of low time complexity…

神经与进化计算 · 计算机科学 2024-08-13 Yisheng Yang , Sim Kuan Goh , Qing Cai , Shen Yuong Wong , Ho-Kin Tang

Computing tasks may often be posed as optimization problems. The objective functions for real-world scenarios are often nonconvex and/or nondifferentiable. State-of-the-art methods for solving these problems typically only guarantee…

最优化与控制 · 数学 2022-10-11 Howard Heaton , Samy Wu Fung , Stanley Osher