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We study targeted maximum likelihood estimation (TMLE) of the average treatment effect in a semiparametric regression model whose mean function is indexed by a finite-dimensional parameter, while the additive error distribution is left…

Methodology · Statistics 2026-04-20 Mijeong Kim

As the maximum likelihood method is the most commonly used method for parameters estimation being unbiased, consistent, efficient, and asymptotically normal, MLE is used to fit the new distribution (MBUW). But in small to moderate sample…

Methodology · Statistics 2025-02-17 Iman Mohammed Attia

Anomaly detection aims at identifying unexpected fluctuations in the expected behavior of a given system. It is acknowledged as a reliable answer to the identification of zero-day attacks to such extent, several ML algorithms that suit for…

Machine Learning · Computer Science 2020-12-22 Tommaso Zoppi , Andrea ceccarelli , Tommaso Capecchi , Andrea Bondavalli

Anomaly Detection in multivariate time series is a major problem in many fields. Due to their nature, anomalies sparsely occur in real data, thus making the task of anomaly detection a challenging problem for classification algorithms to…

Machine Learning · Computer Science 2023-08-08 Anastasios Iliopoulos , John Violos , Christos Diou , Iraklis Varlamis

Consider the Gaussian sequence model under the additional assumption that a fixed fraction of the means is known. We study the problem of variance estimation from a frequentist Bayesian perspective. The maximum likelihood estimator (MLE)…

Statistics Theory · Mathematics 2019-12-19 Gianluca Finocchio , Johannes Schmidt-Hieber

Operational risk models commonly employ maximum likelihood estimation (MLE) to fit loss data to heavy-tailed distributions. Yet several desirable properties of MLE (e.g. asymptotic normality) are generally valid only for large sample-sizes,…

Risk Management · Quantitative Finance 2016-08-26 Paul Larsen

We investigate unsupervised anomaly detection for high-dimensional data and introduce a deep metric learning (DML) based framework. In particular, we learn a distance metric through a deep neural network. Through this metric, we project the…

Machine Learning · Computer Science 2020-05-13 Selim F. Yilmaz , Suleyman S. Kozat

Distributed learning of probabilistic models from multiple data repositories with minimum communication is increasingly important. We study a simple communication-efficient learning framework that first calculates the local maximum…

Machine Learning · Statistics 2014-10-13 Qiang Liu , Alexander Ihler

We consider the situation where the observed sample contains some observations whose class of origin is known (that is, they are classified with respect to the g underlying classes of interest), and where the remaining observations in the…

Machine Learning · Statistics 2020-04-15 Geoffrey J. McLachlan , Daniel Ahfock

Log anomaly detection is essential for system reliability, but it is extremely challenging to do considering it involves class imbalance. Additionally, the models trained in one domain are not applicable to other domains, necessitating the…

Machine Learning · Computer Science 2026-01-22 Krishna Sharma , Vivek Yelleti

We develop a supervised machine learning model that detects anomalies in systems in real time. Our model processes unbounded streams of data into time series which then form the basis of a low-latency anomaly detection model. Moreover, we…

Machine Learning · Computer Science 2016-11-16 Derek Farren , Thai Pham , Marco Alban-Hidalgo

Estimating the frequencies of multiple sinusoids in the presence of AWGN and when the data record is short is commonly accomplished by subspace-based methods such as ESPRIT, MUSIC, Min-Norm, etc. These methods do not assume that the data…

Signal Processing · Electrical Eng. & Systems 2020-08-31 P. Vishnu , C. S. Ramalingam

A discrete statistical model is a subset of a probability simplex. Its maximum likelihood estimator (MLE) is a retraction from that simplex onto the model. We characterize all models for which this retraction is a rational function. This is…

Statistics Theory · Mathematics 2020-06-16 Eliana Duarte , Orlando Marigliano , Bernd Sturmfels

Distributed statistical inference has recently attracted immense attention. The asymptotic efficiency of the maximum likelihood estimator (MLE), the one-step MLE, and the aggregated estimating equation estimator are established for…

Methodology · Statistics 2020-08-14 Ping Zhou , Zhen Yu , Jingyi Ma , Maozai Tian , Ye Fan

Many social and economic systems can be represented as attributed networks encoding the relations between entities who are themselves described by different node attributes. Finding anomalies in these systems is crucial for detecting abuses…

Social and Information Networks · Computer Science 2020-10-27 Leonardo Gutiérrez-Gómez , Alexandre Bovet , Jean-Charles Delvenne

One of the most common methods for statistical inference is the maximum likelihood estimator (MLE). The MLE needs to compute the normalization constant in statistical models, and it is often intractable. Using unnormalized statistical…

Statistics Theory · Mathematics 2016-04-26 Takafumi Kanamori , Takashi Takenouchi

In data systems, activities or events are continuously collected in the field to trace their proper executions. Logging, which means recording sequences of events, can be used for analyzing system failures and malfunctions, and identifying…

Machine Learning · Computer Science 2021-06-29 Tomer Meirman , Roni Stern , Gilad Katz

Data anomalies are ubiquitous in real world datasets, and can have an adverse impact on machine learning (ML) systems, such as automated home valuation. Detecting anomalies could make ML applications more responsible and trustworthy.…

Machine Learning · Computer Science 2020-09-22 Egor Klevak , Sangdi Lin , Andy Martin , Ondrej Linda , Eric Ringger

Anomaly detection has wide applications in machine intelligence but is still a difficult unsolved problem. Major challenges include the rarity of labeled anomalies and it is a class highly imbalanced problem. Traditional unsupervised…

Machine Learning · Computer Science 2021-04-27 Zhi Chen , Jiang Duan , Li Kang , Guoping Qiu

Anomaly is defined as a state of the system that do not conform to the normal behavior. For example, the emission of neutrons in a nuclear reactor channel above the specified threshold is an anomaly. Big data refers to the data set that is…

Machine Learning · Computer Science 2022-03-04 Chandresh Kumar Maurya