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The Gauss Markov theorem states that the weighted least squares estimator is a linear minimum variance unbiased estimation (MVUE) in linear models. In this paper, we take a first step towards extending this result to non linear settings via…

Machine Learning · Computer Science 2023-11-30 Tzvi Diskin , Yonina C. Eldar , Ami Wiesel

The methods of statistical physics are widely used for modelling complex networks. Building on the recently proposed Equilibrium Expectation approach, we derive a simple and efficient algorithm for maximum likelihood estimation (MLE) of…

Computation · Statistics 2020-02-12 Alexander Borisenko , Maksym Byshkin , Alessandro Lomi

Anomaly detection in time-series has a wide range of practical applications. While numerous anomaly detection methods have been proposed in the literature, a recent survey concluded that no single method is the most accurate across various…

Machine Learning · Computer Science 2023-03-14 Mononito Goswami , Cristian Challu , Laurent Callot , Lenon Minorics , Andrey Kan

We consider the problem of estimating the distribution function, the density and the hazard rate of the (unobservable) event time in the current status model. A well studied and natural nonparametric estimator for the distribution function…

Statistics Theory · Mathematics 2010-01-13 Piet Groeneboom , Geurt Jongbloed , Birgit I. Witte

The Laplace approximation (LA) has been proposed as a method for approximating the marginal likelihood of statistical models with latent variables. However, the approximate maximum likelihood estimators (MLEs) based on the LA are often…

Methodology · Statistics 2022-07-21 Jeongseop Han , Youngjo Lee

Machine learning offers potential solutions to current issues in industrial systems in areas such as quality control and predictive maintenance, but also faces unique barriers in industrial applications. An ongoing challenge is extreme…

Machine Learning · Computer Science 2026-01-15 Lesley Wheat , Martin v. Mohrenschildt , Saeid Habibi

Machine learning (ML) algorithms are optimized for the distribution represented by the training data. For outlier data, they often deliver predictions with equal confidence, even though these should not be trusted. In order to deploy…

Image and Video Processing · Electrical Eng. & Systems 2021-03-17 Milda Pocevičiūtė , Gabriel Eilertsen , Claes Lundström

Explainability is a gateway between Artificial Intelligence and society as the current popular deep learning models are generally weak in explaining the reasoning process and prediction results. Local Interpretable Model-agnostic…

Machine Learning · Computer Science 2020-02-19 Sheng Shi , Xinfeng Zhang , Wei Fan

Data augmentation methods are commonly integrated into the training of anomaly detection models. Previous approaches have primarily focused on replicating real-world anomalies or enhancing diversity, without considering that the standard of…

Artificial Intelligence · Computer Science 2024-12-30 Jiang Lin , Yaping Yan

Combining discrete probability distributions and combinatorial optimization problems with neural network components has numerous applications but poses several challenges. We propose Implicit Maximum Likelihood Estimation (I-MLE), a…

Machine Learning · Computer Science 2021-10-28 Mathias Niepert , Pasquale Minervini , Luca Franceschi

Anomaly detection is a classical problem in computer vision, namely the determination of the normal from the abnormal when datasets are highly biased towards one class (normal) due to the insufficient sample size of the other class…

Computer Vision and Pattern Recognition · Computer Science 2018-11-14 Samet Akcay , Amir Atapour-Abarghouei , Toby P. Breckon

Nowadays, many classification algorithms have been applied to various industries to help them work out their problems met in real-life scenarios. However, in many binary classification tasks, samples in the minority class only make up a…

Machine Learning · Computer Science 2022-08-23 Xiayu Liang , Ying Gao , Shanrong Xu

Although deep learning models have driven state-of-the-art performance on a wide array of tasks, they are prone to spurious correlations that should not be learned as predictive clues. To mitigate this problem, we propose a causality-based…

Machine Learning · Computer Science 2021-10-27 Xinyi Wang , Wenhu Chen , Michael Saxon , William Yang Wang

RNA-Seq data characteristically exhibits large variances, which need to be appropriately accounted for in the model. We first explore the effects of this variability on the maximum likelihood estimator (MLE) of the overdispersion parameter…

Methodology · Statistics 2015-12-03 Luis Leon-Novelo , Claudio Fuentes , Sarah Emerson

Unsupervised anomaly detection is a challenging problem due to the diversity of data distributions and the lack of labels. Ensemble methods are often adopted to mitigate these challenges by combining multiple detectors, which can reduce…

Machine Learning · Computer Science 2026-04-27 Jordan Levy , Paul Saves , Moncef Garouani , Nicolas Verstaevel , Benoit Gaudou

Active learning aims to efficiently build a labeled training set by strategically selecting samples to query labels from annotators. In this sequential process, each sample acquisition influences subsequent selections, causing dependencies…

Machine Learning · Computer Science 2025-10-07 Beyza Kalkanli , Tales Imbiriba , Stratis Ioannidis , Deniz Erdogmus , Jennifer Dy

Maximum Likelihood Estimators (MLE) has many good properties. For example, the asymptotic variance of MLE solution attains equality of the asymptotic Cram{\'e}r-Rao lower bound (efficiency bound), which is the minimum possible variance for…

Machine Learning · Statistics 2019-11-05 Song Liu , Takafumi Kanamori , Wittawat Jitkrittum , Yu Chen

We study maximum likelihood estimation for the statistical model for undirected random graphs, known as the $\beta$-model, in which the degree sequences are minimal sufficient statistics. We derive necessary and sufficient conditions, based…

Other Statistics · Statistics 2013-06-19 Alessandro Rinaldo , Sonja Petrović , Stephen E. Fienberg

In many real-world AD applications including computer security and fraud prevention, the anomaly detector must be configurable by the human analyst to minimize the effort on false positives. One important way to configure the detector is by…

Machine Learning · Computer Science 2024-05-15 Shubhomoy Das , Md Rakibul Islam , Nitthilan Kannappan Jayakodi , Janardhan Rao Doppa

Methods for unsupervised anomaly detection suffer from the fact that the data is unlabeled, making it difficult to assess the optimality of detection algorithms. Ensemble learning has shown exceptional results in classification and…

Machine Learning · Statistics 2016-10-26 Edward Yu , Parth Parekh
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