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Cellular Automata are discrete dynamical systems that evolve following simple and local rules. Despite of its local simplicity, knowledge discovery in CA is a NP problem. This is the main motivation for using data mining techniques for CA…

Discrete Mathematics · Computer Science 2007-05-23 Gilson A. Giraldi , Antonio A. F. Oliveira , Leonardo Carvalho

In this manuscript, we consider a finite nonparametric mixture model with non-independent marginal density functions. Dependence between the marginal densities is modeled using a copula device. Until recently, no deterministic algorithms…

Methodology · Statistics 2025-05-23 Michael Levine

The translation of comparative genomics into clinical decision support tools often depends on the quality of sequence alignments. However, currently used methods of multiple sequence alignments suffer from significant biases and problems…

Genomics · Quantitative Biology 2023-11-30 Manal Helal , Vitali Sintchenko

Dimensionality reduction is a critical step in scaling machine learning pipelines. Principal component analysis (PCA) is a standard tool for dimensionality reduction, but performing PCA over a full dataset can be prohibitively expensive. As…

Databases · Computer Science 2020-08-25 Sahaana Suri , Peter Bailis

A program fails. Under which circumstances does this failure occur? One single algorithm, the delta debugging algorithm, suffices to determine these failure-inducing circumstances. Delta debugging tests a program systematically and…

Software Engineering · Computer Science 2007-05-23 Holger Cleve , Andreas Zeller

Generalization of time series prediction remains an important open issue in machine learning, wherein earlier methods have either large generalization error or local minima. We develop an analytically solvable, unsupervised learning scheme…

Machine Learning · Statistics 2022-01-21 Takuya Isomura , Taro Toyoizumi

Deep learning has been able to outperform humans in terms of classification accuracy in many tasks. However, to achieve robustness to adversarial perturbations, the best methodologies require to perform adversarial training on a much larger…

Machine Learning · Computer Science 2024-05-13 Javier Maroto , Pascal Frossard

Principal Component Analysis (PCA) is a method for estimating a subspace given noisy samples. It is useful in a variety of problems ranging from dimensionality reduction to anomaly detection and the visualization of high dimensional data.…

Statistics Theory · Mathematics 2019-06-14 David Hong , Laura Balzano , Jeffrey A. Fessler

We discuss the problem of estimating the number of principal components in Principal Com- ponents Analysis (PCA). Despite of the importance of the problem and the multitude of solutions proposed in the literature, it comes as a surprise…

Methodology · Statistics 2016-07-06 Piotr Sobczyk , Malgorzata Bogdan , Julie Josse

Principal component analysis (PCA) is one of the most widely used dimension reduction and multivariate statistical techniques. From a probabilistic perspective, PCA seeks a low-dimensional representation of data in the presence of…

Machine Learning · Computer Science 2021-01-06 Chihao Zhang , Kuo Gai , Shihua Zhang

The performance of principal component analysis (PCA) suffers badly in the presence of outliers. This paper proposes two novel approaches for robust PCA based on semidefinite programming. The first method, maximum mean absolute deviation…

Computation · Statistics 2014-01-13 Michael McCoy , Joel Tropp

Query optimizer is a crucial module for database management systems. Existing optimizers exhibit two flawed paradigms: (1) cost-based optimizers use dynamic programming with cost models but face search space explosion and heuristic pruning…

Databases · Computer Science 2025-06-23 Jiazhen Peng , Zheng Qu , Xiaoye Miao , Rong Zhu

Accurate prediction of surgical duration is pivotal for hospital resource management. Although recent supervised learning approaches-from machine learning (ML) to fine-tuned large language models (LLMs)-have shown strong performance, they…

Machine Learning · Computer Science 2026-03-24 Wanyin Wu , Kanxue Li , Baosheng Yu , Haoyun Zhao , Yibing Zhan , Dapeng Tao , Hua Jin

In safety-critical deep learning applications robustness measurement is a vital pre-deployment phase. However, existing robustness verification methods are not sufficiently practical for deploying machine learning systems in the real world.…

Machine Learning · Computer Science 2022-07-06 Tianle Zhang , Wenjie Ruan , Jonathan E. Fieldsend

Elevator systems are one kind of Cyber-Physical Systems (CPSs), and as such, test cases are usually complex and long in time. This is mainly because realistic test scenarios are employed (e.g., for testing elevator dispatching algorithms,…

Software Engineering · Computer Science 2023-07-06 Pablo Valle , Aitor Arrieta , Maite Arratibel

An improved mixture of probabilistic principal component analysis (PPCA) has been introduced for nonlinear data-driven process monitoring in this paper. To realize this purpose, the technique of a mixture of probabilistic principal…

Methodology · Statistics 2020-12-15 Jingxin Zhang , Hao Chen , Songhang Chen , Xia Hong

Probabilistic timed automata (PTAs) are timed automata (TAs) extended with discrete probability distributions.They serve as a mathematical model for a wide range of applications that involve both stochastic and timed behaviours. In this…

Formal Languages and Automata Theory · Computer Science 2018-06-14 Hongfei Fu , Yi Li , Jianlin Li , Lijun Zhang

An efficient monotone data augmentation (MDA) algorithm is proposed for missing data imputation for incomplete multivariate nonnormal data that may contain variables of different types, and are modeled by a sequence of regression models…

Methodology · Statistics 2018-11-21 Yongqiang Tang

Existing multi-criteria decision-making (MCDM) methods often face challenges when evaluating a large number of alternatives, leading to skewed results in selecting the optimal choice. Similarly, conventional efficiency analysis (EA)…

Optimization and Control · Mathematics 2026-03-03 Fuh-Hwa Franklin Liu , Su-Chuan Shih

Automatic performance debugging of parallel applications usually involves two steps: automatic detection of performance bottlenecks and uncovering their root causes for performance optimization. Previous work fails to resolve this…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-02-24 Xu Liu , Lin Yuan , Jianfeng Zhan , Bibo Tu , Dan Meng