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Models incorporating uncertain inputs, such as random forces or material parameters, have been of increasing interest in PDE-constrained optimization. In this paper, we focus on the efficient numerical minimization of a convex and smooth…

最优化与控制 · 数学 2021-06-18 Caroline Geiersbach , Winnifried Wollner

Deep learning demands a huge amount of well-labeled data to train the network parameters. How to use the least amount of labeled data to obtain the desired classification accuracy is of great practical significance, because for many…

机器学习 · 计算机科学 2019-12-20 Xiao Han , Zihao Wang , Enmei Tu , Gunnam Suryanarayana , Jie Yang

Stochastic-gradient-based optimization has been a core enabling methodology in applications to large-scale problems in machine learning and related areas. Despite the progress, the gap between theory and practice remains significant, with…

最优化与控制 · 数学 2021-01-01 Lihua Lei , Michael I. Jordan

Semi-supervised learning has received increasingly attention in statistics and machine learning. In semi-supervised learning settings, a labeled data set with both outcomes and covariates and an unlabeled data set with covariates only are…

机器学习 · 统计学 2024-02-26 Zhuojun Quan , Yuanyuan Lin , Kani Chen , Wen Yu

Beyond attaining domain generalization (DG), visual recognition models should also be data-efficient during learning by leveraging limited labels. We study the problem of Semi-Supervised Domain Generalization (SSDG) which is crucial for…

计算机视觉与模式识别 · 计算机科学 2024-09-26 Adnan Khan , Mai A. Shaaban , Muhammad Haris Khan

Regularization is essential for avoiding over-fitting to training data in network optimization, leading to better generalization of the trained networks. The label noise provides a strong implicit regularization by replacing the target…

机器学习 · 计算机科学 2022-05-04 Kensuke Nakamura , Bong-Soo Sohn , Kyoung-Jae Won , Byung-Woo Hong

Deep learning can help uncover patterns in resting-state functional Magnetic Resonance Imaging (rs-fMRI) associated with psychiatric disorders and personal traits. Yet the problem of interpreting deep learning findings is rarely more…

计算机视觉与模式识别 · 计算机科学 2024-10-11 Camila González , Yanis Miraoui , Yiran Fan , Ehsan Adeli , Kilian M. Pohl

Recent advances in deep reinforcement learning have achieved human-level performance on a variety of real-world applications. However, the current algorithms still suffer from poor gradient estimation with excessive variance, resulting in…

机器学习 · 计算机科学 2019-05-21 Wei-Ye Zhao , Xi-Ya Guan , Yang Liu , Xiaoming Zhao , Jian Peng

This paper presents a novel variational inference framework for deriving a family of Bayesian sparse Gaussian process regression (SGPR) models whose approximations are variationally optimal with respect to the full-rank GPR model enriched…

机器学习 · 计算机科学 2019-03-25 Haibin Yu , Trong Nghia Hoang , Kian Hsiang Low , Patrick Jaillet

Probabilistic evaluation improves the trade-off between target coverage and OAR sparing in IMPT but remains computationally demanding. This study proposes sparse probabilistic evaluation (SPE), a computationally efficient approach…

Variance reduction techniques such as SPIDER/SARAH/STORM have been extensively studied to improve the convergence rates of stochastic non-convex optimization, which usually maintain and update a sequence of estimators for a single function…

机器学习 · 计算机科学 2023-01-02 Wei Jiang , Gang Li , Yibo Wang , Lijun Zhang , Tianbao Yang

Ordinal regression is aimed at predicting an ordinal class label. In this paper, we consider its semi-supervised formulation, in which we have unlabeled data along with ordinal-labeled data to train an ordinal regressor. There are several…

机器学习 · 计算机科学 2021-06-11 Taira Tsuchiya , Nontawat Charoenphakdee , Issei Sato , Masashi Sugiyama

In this paper, we study statistical properties of semi-supervised learning, which is considered as an important problem in the community of machine learning. In the standard supervised learning, only the labeled data is observed. The…

机器学习 · 统计学 2012-04-19 Masanori Kawakita , Takafumi Kanamori

In decentralized learning, a network of nodes cooperate to minimize an overall objective function that is usually the finite-sum of their local objectives, and incorporates a non-smooth regularization term for the better generalization…

机器学习 · 计算机科学 2022-01-25 Xuanjie Li , Yuedong Xu , Jessie Hui Wang , Xin Wang , John C. S. Lui

When training a machine learning model with observational data, it is often encountered that some values are systemically missing. Learning from the incomplete data in which the missingness depends on some covariates may lead to biased…

机器学习 · 计算机科学 2018-12-24 Kanghoon Lee , Jihye Choi , Moonsu Cha , Jung-Kwon Lee , Taeyoon Kim

Learning representation from relative similarity comparisons, often called ordinal embedding, gains rising attention in recent years. Most of the existing methods are batch methods designed mainly based on the convex optimization, say, the…

机器学习 · 统计学 2018-02-01 Ke Ma , Jinshan Zeng , Jiechao Xiong , Qianqian Xu , Xiaochun Cao , Wei Liu , Yuan Yao

Quantifying synergy among stochastic variables is an important open problem in information theory. Information synergy occurs when multiple sources together predict an outcome variable better than the sum of single-source predictions. It is…

信息论 · 计算机科学 2017-04-05 Rick Quax , Omri Har-Shemesh , Peter M. A. Sloot

In the context of finite sums minimization, variance reduction techniques are widely used to improve the performance of state-of-the-art stochastic gradient methods. Their practical impact is clear, as well as their theoretical properties.…

最优化与控制 · 数学 2024-08-07 Cheik Traoré , Vassilis Apidopoulos , Saverio Salzo , Silvia Villa

Regularized empirical risk minimization (R-ERM) is an important branch of machine learning, since it constrains the capacity of the hypothesis space and guarantees the generalization ability of the learning algorithm. Two classic proximal…

机器学习 · 计算机科学 2016-09-28 Qi Meng , Wei Chen , Jingcheng Yu , Taifeng Wang , Zhi-Ming Ma , Tie-Yan Liu

Recently, Stochastic Variational Inference (SVI) has been increasingly attractive thanks to its ability to find good posterior approximations of probabilistic models. It optimizes the variational objective with stochastic optimization,…

机器学习 · 计算机科学 2022-03-16 Minta Liu , Suliang Bu