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We introduce the Information-Estimation Metric (IEM), a novel form of distance function derived from an underlying continuous probability density over a domain of signals. The IEM is rooted in a fundamental relationship between information…

Image and Video Processing · Electrical Eng. & Systems 2026-02-09 Guy Ohayon , Pierre-Etienne H. Fiquet , Florentin Guth , Jona Ballé , Eero P. Simoncelli

With the increasing number of intrusions in system and network infrastructures, Intrusion Detection Systems (IDS) have become an active area of research to develop reliable and effective solutions to detect and counter them. The use of…

Cryptography and Security · Computer Science 2012-12-04 Herve Kabamba Mbikayi

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

The occurrence and distributions of wildlife populations and communities are shifting as a result of global changes. To evaluate whether these shifts are negatively impacting biodiversity processes, it is critical to monitor the status,…

Populations and Evolution · Quantitative Biology 2021-09-07 Jeffrey W. Doser , Wendy Leuenberger , T. Scott Sillett , Michael T. Hallworth , Elise F. Zipkin

Large-scale biobanks are being collected around the world in efforts to better understand human health and risk factors for disease. They often survey hundreds of thousands of individuals, combining questionnaires with clinical, genetic,…

Quantitative Methods · Quantitative Biology 2019-03-19 Qifan Yang , Gennady V. Roshchupkin , Wiro J. Niessen , Sarah E. Medland , Alyssa H. Zhu , Paul M. Thompson , Neda Jahanshad

We derive a central limit theorem for a spatial $\Lambda$-Fleming-Viot model with fluctuating population size. At each reproduction, a proportion of the population dies and is replaced by a not necessarily equal mass of new individuals. The…

Probability · Mathematics 2025-03-18 Raphaël Forien , Bastian Wiederhold

We consider a continuous-time Markov chain model of SIR disease dynamics with two levels of mixing. For this so-called stochastic households model, we provide two methods for inferring the model parameters---governing within-household…

Populations and Evolution · Quantitative Biology 2018-02-07 James N. Walker , Joshua V. Ross , Andrew J. Black

The inferential model (IM) framework provides valid prior-free probabilistic inference by focusing on predicting unobserved auxiliary variables. But, efficient IM-based inference can be challenging when the auxiliary variable is of higher…

Statistics Theory · Mathematics 2015-01-20 Ryan Martin , Chuanhai Liu

Qualitative models provide crucial instruments for modelling complex biological systems. While advances in automated reasoning and symbolic encodings have enabled rigorous inference of these models from data, the process remains highly…

Molecular Networks · Quantitative Biology 2026-05-14 Ondřej Huvar , Nikola Beneš , Martin Jonáš , David Šafránek , Samuel Pastva

The Ising model is a celebrated example of a Markov random field, introduced in statistical physics to model ferromagnetism. This is a discrete exponential family with binary outcomes, where the sufficient statistic involves a quadratic…

Statistics Theory · Mathematics 2021-09-08 Somabha Mukherjee

We introduce a new approach, called Isolate-Detect (ID), for the consistent estimation of the number and location of multiple generalized change-points in noisy data sequences. Examples of signal changes that ID can deal with are changes in…

Methodology · Statistics 2021-06-02 Andreas Anastasiou , Piotr Fryzlewicz

A central task in the study of molecular sequence data from present-day species is the reconstruction of the ancestral relationships. The most established approach to tree reconstruction is the maximum likelihood (ML) method. In this…

Quantitative Methods · Quantitative Biology 2007-05-23 Asger Hobolth , Ruriko Yoshida

Evolutionary models for populations of constant size are frequently studied using the Moran model, the Wright-Fisher model, or their diffusion limits. When evolution is neutral, a random genealogy given through Kingman's coalescent is used…

Populations and Evolution · Quantitative Biology 2012-07-31 Peter Pfaffelhuber , Benedikt Vogt

Source-sink systems are metapopulations of habitat patches with different, and possibly temporally varying, habitat qualities, which are commonly used in ecology to study the fate of spatially extended natural populations. We propose new…

Probability · Mathematics 2012-10-18 Vincent Bansaye , Amaury Lambert

Historically, matrix projection models (MPMs) have been employed to study population dynamics with regard to size, age or structure. To work with continuous traits, in the past decade, integral projection models (IPMs) have been proposed.…

Methodology · Statistics 2013-12-30 Alan E. Gelfand , Souparno Ghosh , James S. Clark

Isolation Forest (iForest) stands out as a widely-used unsupervised anomaly detector, primarily owing to its remarkable runtime efficiency and superior performance in large-scale tasks. Despite its widespread adoption, a theoretical…

Machine Learning · Computer Science 2026-01-28 Qin-Cheng Zheng , Shao-Qun Zhang , Shen-Huan Lyu , Yuan Jiang , Zhi-Hua Zhou

Handling missing values plays an important role in the analysis of survival data, especially, the ones marked by cure fraction. In this paper, we discuss the properties and implementation of stochastic approximations to the…

Methodology · Statistics 2021-07-22 Sandip Barui , Suvra Pal , Nutan Mishra , Katherine Davies

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

Modeling Irregularly-sampled and Multivariate Time Series (IMTS) is crucial across a variety of applications where different sets of variates may be missing at different time-steps due to sensor malfunctions or high data acquisition costs.…

Gibbs sampling, as a model learning method, is known to produce the most accurate results available in a variety of domains, and is a de facto standard in these domains. Yet, it is also well known that Gibbs random walks usually have…

Machine Learning · Statistics 2018-04-20 Mark Kozdoba , Shie Mannor
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