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Variance reduction is a family of powerful mechanisms for stochastic optimization that appears to be helpful in many machine learning tasks. It is based on estimating the exact gradient with some recursive sequences. Previously, many papers…

最优化与控制 · 数学 2025-11-07 Aleksandr Shestakov , Valery Parfenov , Aleksandr Beznosikov

Sharpness-Aware Minimization (SAM) is a recently proposed gradient-based optimizer (Foret et al., ICLR 2021) that greatly improves the prediction performance of deep neural networks. Consequently, there has been a surge of interest in…

机器学习 · 计算机科学 2023-10-24 Yan Dai , Kwangjun Ahn , Suvrit Sra

Matrix completion constantly receives tremendous attention from many research fields. It is commonly applied for recommender systems such as movie ratings, computer vision such as image reconstruction or completion, multi-task learning such…

机器学习 · 计算机科学 2019-10-08 Abdallah Chehade , Zunya Shi

Orthogonalized-update optimizers such as Muon improve training of matrix-valued parameters, but existing extensions typically either rescale updates after orthogonalization or use heavier whitening-based preconditioners before it. We…

机器学习 · 计算机科学 2026-05-12 Da Chang , Qiankun Shi , Lvgang Zhang , Yu Li , Ruijie Zhang , Yao Lu , Yongxiang Liu , Ganzhao Yuan

Configurable software systems can be tuned for better performance. Leveraging on some Pareto optimizers, recent work has shifted from tuning for a single, time-related performance objective to two intrinsically different objectives that…

软件工程 · 计算机科学 2023-01-10 Tao Chen , Miqing Li

Bundle adjustment (BA) is a technique for refining sensor orientations of satellite images, while adjustment accuracy is correlated with feature matching results. Feature match-ing often contains high uncertainties in weak/repeat textures,…

计算机视觉与模式识别 · 计算机科学 2021-07-02 Xiao Ling , Xu Huang , Rongjun Qin

Novel technologies in automated machine learning ease the complexity of algorithm selection and hyperparameter optimization. Hyperparameters are important for machine learning models as they significantly influence the performance of…

机器学习 · 计算机科学 2021-08-31 Mohamadjavad Bahmani , Radwa El Shawi , Nshan Potikyan , Sherif Sakr

The diverse world of machine learning applications has given rise to a plethora of algorithms and optimization methods, finely tuned to the specific regression or classification task at hand. We reduce the complexity of algorithm design for…

最优化与控制 · 数学 2016-05-23 Zeyuan Allen-Zhu , Elad Hazan

Lifted inference reduces the complexity of inference in relational probabilistic models by identifying groups of constants (or atoms) which behave symmetric to each other. A number of techniques have been proposed in the literature for…

人工智能 · 计算机科学 2018-07-10 Vishal Sharma , Noman Ahmed Sheikh , Happy Mittal , Vibhav Gogate , Parag Singla

Many high-dimensional optimisation problems exhibit rich geometric structures in their set of minimisers, often forming smooth manifolds due to over-parametrisation or symmetries. When this structure is known, at least locally, it can be…

最优化与控制 · 数学 2025-10-27 Evan Markou , Thalaiyasingam Ajanthan , Stephen Gould

Noisy matrix completion has attracted significant attention due to its applications in recommendation systems, signal processing and image restoration. Most existing works rely on (weighted) least squares methods under various low-rank…

机器学习 · 统计学 2024-12-17 Ziyuan Chen , Fang Yao

We consider the additive version of the matrix denoising problem, where a random symmetric matrix $S$ of size $n$ has to be inferred from the observation of $Y=S+Z$, with $Z$ an independent random matrix modeling a noise. For prior…

无序系统与神经网络 · 物理学 2024-10-25 Guilhem Semerjian

Sharpness-Aware Minimization (SAM) is a recent training method that relies on worst-case weight perturbations which significantly improves generalization in various settings. We argue that the existing justifications for the success of SAM…

机器学习 · 计算机科学 2022-06-14 Maksym Andriushchenko , Nicolas Flammarion

Training large language models (LLMs) relies almost exclusively on dense adaptive optimizers with increasingly sophisticated preconditioners. We challenge this by showing that randomly masking parameter updates can be highly effective, with…

机器学习 · 计算机科学 2026-02-18 Taejong Joo , Wenhan Xia , Cheolmin Kim , Ming Zhang , Eugene Ie

Submodular maximization subject to matroid constraints is a central problem with many applications in machine learning. As algorithms are increasingly used in decision-making over datapoints with sensitive attributes such as gender or race,…

数据结构与算法 · 计算机科学 2026-01-16 Sepideh Mahabadi , Sherry Sarkar , Jakub Tarnawski

Matrix completion (MC) is a promising technique which is able to recover an intact matrix with low-rank property from sub-sampled/incomplete data. Its application varies from computer vision, signal processing to wireless network, and…

信号处理 · 电气工程与系统科学 2019-05-08 Xiao Peng Li , Lei Huang , Hing Cheung So , Bo Zhao

The Muon optimizer has emerged as a compelling alternative to Adam for training large language models, achieving remarkable computational savings through gradient orthogonalization. However, Muon's optimizer state is more sensitive to…

机器学习 · 计算机科学 2026-05-13 Yupeng Su , Ruijie Zhang , Ziyue Liu , Yequan Zhao , Zheng Zhang

Recent work has demonstrated that using a carefully designed sensing matrix rather than a random one, can improve the performance of compressed sensing. In particular, a well-designed sensing matrix can reduce the coherence between the…

信息论 · 计算机科学 2010-09-09 Kevin Rosenblum , Lihi Zelnik-Manor , Yonina C. Eldar

Hyperparameter tuning is the black art of automatically finding a good combination of control parameters for a data miner. While widely applied in empirical Software Engineering, there has not been much discussion on which hyperparameter…

人工智能 · 计算机科学 2018-10-04 Huy Tu , Vivek Nair

Similarity matrix serves as a fundamental tool at the core of numerous downstream machine-learning tasks. However, missing data is inevitable and often results in an inaccurate similarity matrix. To address this issue, Similarity Matrix…

机器学习 · 计算机科学 2024-10-01 Changyi Ma , Runsheng Yu , Xiao Chen , Youzhi Zhang