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Derivative-free optimization (DFO) has recently gained a lot of momentum in machine learning, spawning interest in the community to design faster methods for problems where gradients are not accessible. While some attention has been given…

Optimization and Control · Mathematics 2020-08-04 Yuwen Chen , Antonio Orvieto , Aurelien Lucchi

Aligning Large Language Models (LLMs) traditionally relies on costly training and human preference annotations. Self-alignment seeks to reduce these expenses by enabling models to align themselves. To further lower costs and achieve…

Computation and Language · Computer Science 2024-11-15 Somanshu Singla , Zhen Wang , Tianyang Liu , Abdullah Ashfaq , Zhiting Hu , Eric P. Xing

Large language models (LLMs) have demonstrated remarkable and steadily improving performance across a wide range of tasks. However, LLM performance may be highly sensitive to prompt variations especially in scenarios with limited openness…

Computation and Language · Computer Science 2026-03-05 Xin Yang , Letian Li , Abudukelimu Wuerkaixi , Xuxin Cheng , Cao Liu , Ke Zeng , Xunliang Cai , Wenyuan Jiang

Robust loss minimization is an important strategy for handling robust learning issue on noisy labels. Current robust loss functions, however, inevitably involve hyperparameter(s) to be tuned, manually or heuristically through cross…

Machine Learning · Computer Science 2020-02-18 Jun Shu , Qian Zhao , Keyu Chen , Zongben Xu , Deyu Meng

Sparse linear regression methods such as Lasso require a tuning parameter that depends on the noise variance, which is typically unknown and difficult to estimate in practice. In the presence of heavy-tailed noise or adversarial outliers,…

Statistics Theory · Mathematics 2025-06-17 Takeyuki Sasai , Hironori Fujisawa

Bayesian optimization (BO) is a powerful paradigm for derivative-free global optimization of a black-box objective function (BOF) that is expensive to evaluate. However, the overhead of BO can still be prohibitive for problems with highly…

Machine Learning · Computer Science 2019-12-18 Bin Liu

The dichotomous coordinate descent (DCD) algorithm has been successfully used for significant reduction in the complexity of recursive least squares (RLS) algorithms. In this work, we generalize the application of the DCD algorithm to RLS…

Machine Learning · Computer Science 2019-08-20 Y. Yu , L. Lu , Z. Zheng , W. Wang , Y. Zakharov , R. C. de Lamare

Burst denoising methods are crucial for enhancing images captured on handheld devices, but they often struggle with large motion or suffer from prohibitive computational costs. In this paper, we propose DenoiseGS, the first framework to…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Yongsen Cheng , Yuanhao Cai , Yulun Zhang

The alignment of Large Language Models (LLMs) is crucial for ensuring their safety and reliability in practical applications. Direct Preference Optimization (DPO) has emerged as an efficient method that directly optimizes models using…

Computation and Language · Computer Science 2025-10-30 Jie Sun , Junkang Wu , Jiancan Wu , Zhibo Zhu , Xingyu Lu , Jun Zhou , Lintao Ma , Xiang Wang

Enhancing LLMs with the ability to actively search external knowledge is crucial for complex and real-world tasks. Current approaches either rely on prompting to elicit the model's innate agent capabilities, or suffer from performance…

Computation and Language · Computer Science 2026-03-20 Chenyang Gu , Yewen Pu , Bruce Yang , Xiaofan Li , Huan Gao

Local search is an effective method for solving large-scale combinatorial optimization problems, and it has made remarkable progress in recent years through several subtle mechanisms. In this paper, we found two ways to improve the local…

Artificial Intelligence · Computer Science 2023-06-30 Luyu Jiang , Dantong Ouyang , Qi Zhang , Liming Zhang

Keyword Spotting (KWS) is an essential component in a smart device for alerting the system when a user prompts it with a command. As these devices are typically constrained by computational and energy resources, the KWS model should be…

Audio and Speech Processing · Electrical Eng. & Systems 2022-10-24 Donghyeon Kim , Kyungdeuk Ko , David K. Han , Hanseok Ko

In this note, we present a derivative-free trust-region (TR) algorithm for reliability based optimization (RBO) problems. The proposed algorithm consists of solving a set of subproblems, in which simple surrogate models of the reliability…

Computation · Statistics 2016-10-04 Tian Gao , Jinglai Li

With the increasing use of deep learning on data collected by non-perfect sensors and in non-perfect environments, the robustness of deep learning systems has become an important issue. A common approach for obtaining robustness to noise…

Machine Learning · Computer Science 2023-11-21 Xueqiong Yuan , Jipeng Li , Ercan Engin Kuruoğlu

In this paper, we account for approaches of sparse recovery from large underdetermined linear models with perturbation present in both the measurements and the dictionary matrix. Existing methods have high computation and low efficiency.…

Information Theory · Computer Science 2012-05-02 Xuebing Han , Hao Zhang , Gang Li

In this work, we utilize a Trust Region based Derivative Free Optimization (DFO-TR) method to directly maximize the Area Under Receiver Operating Characteristic Curve (AUC), which is a nonsmooth, noisy function. We show that AUC is a smooth…

Machine Learning · Computer Science 2017-03-22 Hiva Ghanbari , Katya Scheinberg

Derivative-free optimization problems are optimization problems where derivative information is unavailable. The least Frobenius norm updating quadratic interpolation model function is one of the essential under-determined model functions…

Optimization and Control · Mathematics 2023-11-21 Pengcheng Xie , Ya-xiang Yuan

Recent advances in 3D Gaussian Splatting (3DGS) have achieved remarkable success in high-fidelity Novel View Synthesis (NVS), yet the optimization process inevitably introduces noisy Gaussian primitives due to the sparse and incomplete…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Qingyuan Zhou , Xinyi Liu , Weidong Yang , Ning Wang , Shuquan Ye , Ben Fei , Ying He , Wanli Ouyang

As its availability and generality in online services, implicit feedback is more commonly used in recommender systems. However, implicit feedback usually presents noisy samples in real-world recommendation scenarios (such as misclicks or…

Information Retrieval · Computer Science 2024-05-29 Zhuangzhuang He , Yifan Wang , Yonghui Yang , Peijie Sun , Le Wu , Haoyue Bai , Jinqi Gong , Richang Hong , Min Zhang

This work tackles a class of optimization problems in which fixing some well-chosen combinations of the variables makes the problem substantially easier to solve. We consider that the variables space may be partitioned into subsets that fix…

Optimization and Control · Mathematics 2026-03-13 Charles Audet , Pierre-Yves Bouchet , Loïc Bourdin