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We consider the weakly supervised binary classification problem where the labels are randomly flipped with probability $1- {\alpha}$. Although there exist numerous algorithms for this problem, it remains theoretically unexplored how the…

Machine Learning · Computer Science 2019-07-16 Xinyang Yi , Zhaoran Wang , Zhuoran Yang , Constantine Caramanis , Han Liu

For optimization models to be used in practice, it is crucial that users trust the results. A key factor in this aspect is the interpretability of the solution process. A previous framework for inherently interpretable optimization models…

Optimization and Control · Mathematics 2026-02-13 Marc Goerigk , Michael Hartisch , Sebastian Merten , Kartikey Sharma

Machine learning models deployed in real-world applications are often evaluated with precision-based metrics such as F1-score or AUC-PR (Area Under the Curve of Precision Recall). Heavily dependent on the class prior, such metrics make it…

Machine Learning · Computer Science 2020-04-29 Wissam Siblini , Jordan Fréry , Liyun He-Guelton , Frédéric Oblé , Yi-Qing Wang

Computational fluid dynamics (CFD) model has been widely used for prototyping data centers. Evolving it to high-fidelity {\em digital twin} is desirable for the management and operations of large-scale data centers. Manually calibrating CFD…

Systems and Control · Electrical Eng. & Systems 2020-11-11 Ruihang Wang , Xin Zhou , Linsen Dong , Yonggang Wen , Rui Tan , Li Chen , Guan Wang , Feng Zeng

Federated learning (FL) enables collaborative machine learning across distributed data owners, but data heterogeneity poses a challenge for model calibration. While prior work focused on improving accuracy for non-iid data, calibration…

Machine Learning · Computer Science 2024-06-05 Hongyi Peng , Han Yu , Xiaoli Tang , Xiaoxiao Li

Taking agent-based models (ABM) closer to the data is an open challenge. This paper explicitly tackles parameter space exploration and calibration of ABMs combining supervised machine-learning and intelligent sampling to build a surrogate…

Economics · Quantitative Finance 2017-04-07 Francesco Lamperti , Andrea Roventini , Amir Sani

Offline optimization is an important task in numerous material engineering domains where online experimentation to collect data is too expensive and needs to be replaced by an in silico maximization of a surrogate of the black-box function.…

Machine Learning · Computer Science 2025-03-07 Manh Cuong Dao , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang

An iterative optimization approach that simultaneously minimizes the energy and optimizes the Lagrange multipliers enforcing desired constraints is presented. The method is tested on previously established benchmark systems and it is proved…

Computational Physics · Physics 2018-08-15 D. Kidd , A. S. Umar , K. Varga

The Consistency property between surrogate losses and evaluation metrics has been extensively studied to ensure that minimizing a loss leads to metric optimality. However, the direct relationship between different evaluation metrics remains…

Machine Learning · Computer Science 2026-03-10 Yuanhao Pu , Defu Lian , Enhong Chen

The Jaccard index, also known as Intersection-over-Union (IoU), is one of the most critical evaluation metrics in image semantic segmentation. However, direct optimization of IoU score is very difficult because the learning objective is…

Computer Vision and Pattern Recognition · Computer Science 2021-12-23 Litao Yu , Zhibin Li , Min Xu , Yongsheng Gao , Jiebo Luo , Jian Zhang

We examine the supervised learning problem in its continuous setting and give a general optimality condition through techniques of functional analysis and the calculus of variations. This enables us to solve the optimality condition for the…

Machine Learning · Computer Science 2018-07-13 Carlos David Brito Pacheco , Carlos Francisco Brito Loeza

In this dissertation, we focus on several important problems in structured prediction. In structured prediction, the label has a rich intrinsic substructure, and the loss varies with respect to the predicted label and the true label pair.…

Machine Learning · Computer Science 2018-09-18 Heejin Choi

A good deal of science and technology concepts and methods rely on comparing and relating entities in quantitative terms. Among the several possible approaches, similarity indices allow some interesting features, especially the ability to…

Physics and Society · Physics 2024-10-24 Alexandre Benatti , Luciano da F. Costa

We study a family of algorithms, which we refer to as local update methods, generalizing many federated and meta-learning algorithms. We prove that for quadratic models, local update methods are equivalent to first-order optimization on a…

Machine Learning · Computer Science 2021-03-10 Zachary Charles , Jakub Konečný

We study the problem of maximizing a monotone submodular set function subject to linear packing constraints. An instance of this problem consists of a matrix $A \in [0,1]^{m \times n}$, a vector $b \in [1,\infty)^m$, and a monotone…

Data Structures and Algorithms · Computer Science 2012-05-01 Yossi Azar , Iftah Gamzu

Simulation models are valuable tools for resource usage estimation and capacity planning. In many situations, reliable data is not available. We introduce the BuB simulator, which requires only the specification of plausible intervals for…

Applications · Statistics 2020-09-08 Thomas Bartz-Beielstein , Eva Bartz , Frederik Rehbach , Olaf Mersmann

Parametric shape optimization aims at minimizing an objective function f(x) where x are CAD parameters. This task is difficult when f is the output of an expensive-to-evaluate numerical simulator and the number of CAD parameters is large.…

Machine Learning · Statistics 2021-05-06 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

ML-based predictions are used to inform consequential decisions about individuals. How should we use predictions (e.g., risk of heart attack) to inform downstream binary classification decisions (e.g., undergoing a medical procedure)? When…

Machine Learning · Computer Science 2022-03-21 Guy N. Rothblum , Gal Yona

We make two contributions to the problem of estimating the $L_1$ calibration error of a binary classifier from a finite dataset. First, we provide an upper bound for any classifier where the calibration function has bounded variation.…

Decision-making in manufacturing often involves optimizing key process parameters using data collected from simulation experiments. Gaussian processes are widely used to surrogate the underlying system and guide optimization. Uncertainty…

Applications · Statistics 2025-07-30 Yezhuo Li , Qiong Zhang , Madhura Limaye , Gang Li
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