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Alternating direction method of multipliers (ADMM) is a popular first-order method owing to its simplicity and efficiency. However, similar to other proximal splitting methods, the performance of ADMM degrades significantly when the scale…

最优化与控制 · 数学 2021-08-11 Fengmiao Bian , Jingwei Liang , Xiaoqun Zhang

With the availability of extraordinarily huge data sets, solving the problems of distributed statistical methodology and computing for such data sets has become increasingly crucial in the big data area. In this paper, we focus on the…

机器学习 · 统计学 2023-10-24 Yue Chao , Lei Huang , Xuejun Ma

Many machine learning models, including those with non-smooth regularizers, can be formulated as consensus optimization problems, which can be solved by the alternating direction method of multipliers (ADMM). Many recent efforts have been…

机器学习 · 计算机科学 2018-02-27 Rui Zhu , Di Niu , Zongpeng Li

We study estimation and inference on causal parameters under finely stratified rerandomization designs, which use baseline covariates to match units into groups (e.g. matched pairs), then rerandomize within-group treatment assignments until…

计量经济学 · 经济学 2025-01-07 Max Cytrynbaum

We study distributed optimization to minimize a global objective that is a sum of smooth and strongly-convex local cost functions. Recently, several algorithms over undirected and directed graphs have been proposed that use a gradient…

最优化与控制 · 数学 2018-08-13 Ran Xin , Usman A. Khan

We investigate a distributed optimization problem over a cooperative multi-agent time-varying network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

最优化与控制 · 数学 2018-05-24 Chuanye Gu , Zhiyou Wu , Jueyou Li

Approximate Bayesian computation (ABC) methods are standard tools for inferring parameters of complex models when the likelihood function is analytically intractable. A popular approach to improving the poor acceptance rate of the basic…

统计方法学 · 统计学 2025-01-27 Henri Pesonen , Jukka Corander

We propose and analyze a regularization approach for structured prediction problems. We characterize a large class of loss functions that allows to naturally embed structured outputs in a linear space. We exploit this fact to design…

机器学习 · 计算机科学 2017-07-31 Carlo Ciliberto , Alessandro Rudi , Lorenzo Rosasco

We introduce a new algorithm to solve a regularized spatial-spectral image estimation problem. Our approach is based on the linearized alternating directions method of multipliers (LADMM), which is a variation of the popular ADMM algorithm.…

信号处理 · 电气工程与系统科学 2025-02-25 Yunsong Liu , Debdut Mandal , Congyu Liao , Kawin Setsompop , Justin P. Haldar

Protein function prediction is the important problem in modern biology. In this paper, the un-normalized, symmetric normalized, and random walk graph Laplacian based semi-supervised learning methods will be applied to the integrated network…

机器学习 · 计算机科学 2013-07-12 Loc Tran

Discrimination and calibration represent two important properties of survival analysis, with the former assessing the model's ability to accurately rank subjects and the latter evaluating the alignment of predicted outcomes with actual…

机器学习 · 计算机科学 2024-06-04 Shi-ang Qi , Yakun Yu , Russell Greiner

This paper investigates the use of multiple directions of stratification as a variance reduction technique for Monte Carlo simulations of path-dependent options driven by Gaussian vectors. The precision of the method depends on the choice…

计算金融 · 定量金融 2010-04-29 Benjamin Jourdain , Bernard Lapeyre , Piergiacomo Sabino

Sparse additive modeling is a class of effective methods for performing high-dimensional nonparametric regression. In this work we show how shape constraints such as convexity/concavity and their extensions, can be integrated into additive…

机器学习 · 计算机科学 2017-05-03 Junming Yin , Yaoliang Yu

In this paper, we develop a novel weighted Laplacian method, which is partially inspired by the theory of graph Laplacian, to study recent popular graph problems, such as multilevel graph partitioning and balanced minimum cut problem, in a…

机器学习 · 计算机科学 2020-05-20 Shijie Xu , Jiayan Fang , Xiang-Yang Li

In federated learning (FL), the assumption that datasets from different devices are independent and identically distributed (i.i.d.) often does not hold due to user differences, and the presence of various data modalities across clients…

机器学习 · 计算机科学 2025-06-06 Shengkun Zhu , Feiteng Nie , Jinshan Zeng , Sheng Wang , Yuan Sun , Yuan Yao , Shangfeng Chen , Quanqing Xu , Chuanhui Yang

There is growing body of learning problems for which it is natural to organize the parameters into matrix, so as to appropriately regularize the parameters under some matrix norm (in order to impose some more sophisticated prior knowledge).…

机器学习 · 计算机科学 2010-10-19 Sham M. Kakade , Shai Shalev-Shwartz , Ambuj Tewari

Multiple generalized additive models (GAMs) are a type of distributional regression wherein parameters of probability distributions depend on predictors through smooth functions, with selection of the degree of smoothness via $L_2$…

机器学习 · 统计学 2018-09-26 Yousra El-Bachir , Anthony C. Davison

With the recent wave of digitalization, specifically in the context of safety-critical applications, there has been a growing need for computationally efficient, accurate, generalizable, and trustworthy models. Physics-based models have…

数值分析 · 数学 2023-09-20 Sondre Sørbø , Sindre Stenen Blakseth , Adil Rasheed , Trond Kvamsdal , Omer San

Over-parameterized deep models usually over-fit to a given training distribution, which makes them sensitive to small changes and out-of-distribution samples at inference time, leading to low generalization performance. To this end, several…

计算机视觉与模式识别 · 计算机科学 2019-12-12 Saeid Asgari Taghanaki , Kumar Abhishek , Ghassan Hamarneh

In performative learning, the data distribution reacts to the deployed model - for example, because strategic users adapt their features to game it - which creates a more complex dynamic than in classical supervised learning. One should…

机器学习 · 计算机科学 2025-10-15 Edwige Cyffers , Alireza Mirrokni , Marco Mondelli