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We study the problem of estimating the mode and maximum of an unknown regression function in the presence of noise. We adopt the Bayesian approach by using tensor-product B-splines and endowing the coefficients with Gaussian priors. In the…

Statistics Theory · Mathematics 2018-03-16 William Weimin Yoo , Subhashis Ghosal

A new Bayesian modelling framework is introduced for piece-wise homogeneous variable-memory Markov chains, along with a collection of effective algorithmic tools for change-point detection and segmentation of discrete time series. Building…

Methodology · Statistics 2025-01-14 Valentinian Lungu , Ioannis Papageorgiou , Ioannis Kontoyiannis

An ensemble inference mechanism is proposed on the Angry Birds domain. It is based on an efficient tree structure for encoding and representing game screenshots, where it exploits its enhanced modeling capability. This has the advantage to…

Artificial Intelligence · Computer Science 2014-08-26 Nikolaos Tziortziotis , Georgios Papagiannis , Konstantinos Blekas

Mathematical models in epidemiology are an indispensable tool to determine the dynamics and important characteristics of infectious diseases. Apart from their scientific merit, these models are often used to inform political decisions and…

Accurately identifying oocytes that progress to the blastocyst stage is crucial in reproductive medicine, but the limited availability of annotated high-quality embryo images presents challenges for developing automated diagnostic tools. To…

Quantitative Methods · Quantitative Biology 2025-06-18 Alejandro Golfe , Natalia P. García-de-la-puente , Adrián Colomer , Valery Naranjo

Machine Learning produces efficient decision and prediction models based on input-output data only. Such models have the form of decision trees or neural nets and are far from transparent analytical models, based on mathematical formulas.…

Artificial Intelligence · Computer Science 2025-05-20 Jakub Skrzyński , Dominik Sepioło , Antoni Ligęza

A deep generative model is developed for representation and analysis of images, based on a hierarchical convolutional dictionary-learning framework. Stochastic {\em unpooling} is employed to link consecutive layers in the model, yielding…

Computer Vision and Pattern Recognition · Computer Science 2015-12-25 Yunchen Pu , Xin Yuan , Andrew Stevens , Chunyuan Li , Lawrence Carin

This paper describes an Artificial Embryology method (called ``Epigenetic Tracking'') to generate predefined arbitrarily shaped 2-dimensional arrays of cells by means of evolutionary techniques. It is based on a model of development, whose…

Adaptation and Self-Organizing Systems · Physics 2008-05-19 Alessandro Fontana

Current causal discovery approaches require restrictive model assumptions in the absence of interventional data to ensure structure identifiability. These assumptions often do not hold in real-world applications leading to a loss of…

Machine Learning · Statistics 2025-06-25 Anish Dhir , Ruby Sedgwick , Avinash Kori , Ben Glocker , Mark van der Wilk

We train a neural network to predict distributional responses in gene expression following genetic perturbations. This is an essential task in early-stage drug discovery, where such responses can offer insights into gene function and inform…

Estimating the entropy rate of discrete time series is a challenging problem with important applications in numerous areas including neuroscience, genomics, image processing and natural language processing. A number of approaches have been…

Methodology · Statistics 2023-03-22 Ioannis Papageorgiou , Ioannis Kontoyiannis

The advent of accessible ancient DNA technology now allows the direct ascertainment of allele frequencies in ancestral populations, thereby enabling the use of allele frequency time series to detect and estimate natural selection. Such…

Populations and Evolution · Quantitative Biology 2016-01-21 Joshua G. Schraiber , Steven N. Evans , Montgomery Slatkin

Cell fate decisions in multicellular organisms are precisely coordinated, leading to highly reproducible macroscopic outcomes of developmental processes. The origins of this reproducibility can be found at the molecular level during the…

Molecular Networks · Quantitative Biology 2013-09-25 Mariela D. Petkova , Feng Liu , Thomas Gregor

Microarray gene expression data are analyzed by means of a Bayesian nonparametric model, with emphasis on prediction of future observables, yielding a method for selection of differentially expressed genes and a classifier.

Methodology · Statistics 2022-03-09 Paulo C. Marques F. , Carlos A. de B. Pereira

We propose a novel Bayesian methodology for analyzing nonstationary time series that exhibit oscillatory behaviour. We approximate the time series using a piecewise oscillatory model with unknown periodicities, where our goal is to estimate…

Copy number variations in cancer cells and volatility fluctuations in stock prices are commonly manifested as changepoints occurring at the same positions across related data sequences. We introduce a Bayesian modeling framework, BASIC,…

Methodology · Statistics 2017-04-17 Zhou Fan , Lester Mackey

A major challenge in biology is explaining how novel characters originate, however, the molecular mechanisms that underlie the emergence of evolutionary innovations are unclear. Here we show that while gene expression in the uterus evolves…

Approximate Bayesian computation (ABC) can be used for model fitting when the likelihood function is intractable but simulating from the model is feasible. However, even a single evaluation of a complex model may take several hours,…

Machine Learning · Statistics 2018-02-19 Marko Järvenpää , Michael Gutmann , Aki Vehtari , Pekka Marttinen

The antibody repertoire of each individual is continuously updated by the evolutionary process of B cell receptor mutation and selection. It has recently become possible to gain detailed information concerning this process through…

Populations and Evolution · Quantitative Biology 2015-05-11 Connor O. McCoy , Trevor Bedford , Vladimir N. Minin , Philip Bradley , Harlan Robins , Frederick A. Matsen

A standard assumption in the Bayesian estimation of linear regression models is that the regressors are exogenous in the sense that they are uncorrelated with the model error term. In practice, however, this assumption can be invalid. In…

Econometrics · Economics 2026-03-10 Siddhartha Chib , Minchul Shin , Anna Simoni