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Principal component analysis (PCA) is a well-known linear dimension-reduction method that has been widely used in data analysis and modeling. It is an unsupervised learning technique that identifies a suitable linear subspace for the input…

机器学习 · 统计学 2021-09-10 Shaojie Xu , Joel Vaughan , Jie Chen , Agus Sudjianto , Vijayan Nair

Dimensionality reduction is a classical technique widely used for data analysis. One foundational instantiation is Principal Component Analysis (PCA), which minimizes the average reconstruction error. In this paper, we introduce the…

离散数学 · 计算机科学 2020-06-17 Uthaipon Tantipongpipat , Samira Samadi , Mohit Singh , Jamie Morgenstern , Santosh Vempala

This paper proposes a novel approach for constructing effective personalized policies when the observed data lacks counter-factual information, is biased and possesses many features. The approach is applicable in a wide variety of settings…

机器学习 · 统计学 2018-07-11 Onur Atan , William R. Zame , Qiaojun Feng , Mihaela van der Schaar

This paper concerns the critical decision process of extracting or selecting the features before applying a clustering algorithm. It is not obvious to evaluate the importance of the features since the most popular methods to do it are…

机器学习 · 计算机科学 2021-11-23 Jean-Sebastien Dessureault , Daniel Massicotte

Choices in scientific research and management require balancing multiple, often competing objectives.Multiple-objective optimization (MOO) provides a unifying framework for solving multiple objective problems. Model selection is a critical…

应用统计 · 统计学 2018-10-26 Perry Williams , William Kendall , Mevin Hooten

Monitoring multichannel profiles has important applications in manufacturing systems improvement, but it is non-trivial to develop efficient statistical methods due to two main challenges. First, profiles are high-dimensional functional…

应用统计 · 统计学 2016-03-18 Yuan Wang , Kamran Paynabar , Yajun Mei

Preferential Bayesian optimization allows optimization of objectives that are either expensive or difficult to measure directly, by relying on a minimal number of comparative evaluations done by a human expert. Generating candidate…

In this paper, we propose a novel semi-supervised feature selection framework by mining correlations among multiple tasks and apply it to different multimedia applications. Instead of independently computing the importance of features for…

机器学习 · 计算机科学 2017-07-11 Xiaojun Chang , Yi Yang

In this work, we propose a novel method to tackle the problem of multiobjective optimization under parameteric uncertainties, by considering the Conditional Pareto Sets and Conditional Pareto Fronts. Based on those quantities we can define…

最优化与控制 · 数学 2026-01-15 Victor Trappler , Céline Helbert , Rodolphe Le Riche

Motivation: Gene selection has become a common task in most gene expression studies. The objective of such research is often to identify the smallest possible set of genes that can still achieve good predictive performance. The problem of…

统计方法学 · 统计学 2015-11-25 Stéphane Guerrier , Nabil Mili , Roberto Molinari , Samuel Orso , Marco Avella-Medina , Yanyuan Ma

The performance of multiobjective algorithms varies across problems, making it hard to develop new algorithms or apply existing ones to new problems. To simplify the development and application of new multiobjective algorithms, there has…

神经与进化计算 · 计算机科学 2022-07-08 Yuri Lavinas , Marcelo Ladeira , Gabriela Ochoa , Claus Aranha

Many systems require optimisation over multiple objectives, where objectives are characteristics of the system such as energy consumed or increase in time to perform the work. Optimisation is performed by selecting the `best' set of input…

性能 · 计算机科学 2019-10-08 Alexander J. M. Kell , Matthew Forshaw , A. Stephen McGough

Multi-view unsupervised feature selection (MUFS) has recently received increasing attention for its promising ability in dimensionality reduction on multi-view unlabeled data. Existing MUFS methods typically select discriminative features…

机器学习 · 计算机科学 2025-11-19 Zongxin Shen , Yanyong Huang , Bin Wang , Jinyuan Chang , Shiyu Liu , Tianrui Li

Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to…

Decisions under uncertainty or with multiple objectives usually require the decision maker to formulate a preference regarding risks or trade-offs. If this preference is known, the ordered weighted averaging (OWA) criterion can be applied…

最优化与控制 · 数学 2023-08-02 Werner Baak , Marc Goerigk , Michael Hartisch

We propose Probabilistic Warp Consistency, a weakly-supervised learning objective for semantic matching. Our approach directly supervises the dense matching scores predicted by the network, encoded as a conditional probability distribution.…

计算机视觉与模式识别 · 计算机科学 2023-11-01 Prune Truong , Martin Danelljan , Fisher Yu , Luc Van Gool

Feature selection is popular for obtaining small, interpretable, yet highly accurate prediction models. Conventional feature-selection methods typically yield one feature set only, which might not suffice in some scenarios. For example,…

机器学习 · 计算机科学 2025-02-07 Jakob Bach

Beam parameter optimization in accelerators involves multiple, sometimes competing objectives. Condensing these individual objectives into a single figure of merit unavoidably results in a bias towards particular outcomes, in absence of…

加速器物理 · 物理学 2022-12-26 Faran Irshad , Stefan Karsch , Andreas Döpp

Debiased recommendation has recently attracted increasing attention from both industry and academic communities. Traditional models mostly rely on the inverse propensity score (IPS), which can be hard to estimate and may suffer from the…

信息检索 · 计算机科学 2022-01-19 Mengyue Yang , Guohao Cai , Furui Liu , Zhenhua Dong , Xiuqiang He , Jianye Hao , Jun Wang , Xu Chen

This article explores distributed convex optimization with globally-coupled constraints, where the objective function is a general nonsmooth convex function, the constraints include nonlinear inequalities and affine equalities, and the…

最优化与控制 · 数学 2025-03-14 Zixuan Liu , Xuyang Wu , Dandan Wang , Jie Lu