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Bayesian inference involves two main computational challenges. First, in estimating the parameters of some model for the data, the posterior distribution may well be highly multi-modal: a regime in which the convergence to stationarity of…

Instrumentation and Methods for Astrophysics · Physics 2019-12-10 F. Feroz , M. P. Hobson , E. Cameron , A. N. Pettitt

Cross-study replicability is a powerful model evaluation criterion that emphasizes generalizability of predictions. When training cross-study replicable prediction models, it is critical to decide between merging and treating the studies…

Machine Learning · Statistics 2022-07-14 Cathy Shyr , Pragya Sur , Giovanni Parmigiani , Prasad Patil

Model agnostic meta-learning (MAML) is a popular state-of-the-art meta-learning algorithm that provides good weight initialization of a model given a variety of learning tasks. The model initialized by provided weight can be fine-tuned to…

Machine Learning · Computer Science 2021-06-11 Thanh Nguyen , Tung Luu , Trung Pham , Sanzhar Rakhimkul , Chang D. Yoo

Model multiplicity refers to the existence of multiple machine learning models that describe the data equally well but may produce different predictions on individual samples. In medicine, these models can admit conflicting predictions for…

Multiple sequence alignment (MSA) is a fundamental and ubiquitous technique in bioinformatics used to infer related residues among biological sequences. Thus alignment accuracy is crucial to a vast range of analyses, often in ways difficult…

Quantitative Methods · Quantitative Biology 2015-01-09 Stefano Iantorno , Kevin Gori , Nick Goldman , Manuel Gil , Christophe Dessimoz

We introduce a new approach to a linear-circular regression problem that relates multiple linear predictors to a circular response. We follow a modeling approach of a wrapped normal distribution that describes angular variables and angular…

Methodology · Statistics 2019-09-17 Ali Esmaieeli Sikaroudi , Chiwoo Park

Classical model selection seeks to find a single model within a particular class that optimizes some pre-specified criteria, such as maximizing a likelihood or minimizing a risk. More recently, there has been an increased interest in model…

Methodology · Statistics 2025-11-17 Ryan Cecil , Lucas Mentch

Handling missing values at test time is challenging for machine learning models, especially when aiming for both high accuracy and interpretability. Established approaches often add bias through imputation or excessive model complexity via…

Machine Learning · Computer Science 2025-05-07 Lena Stempfle , Anton Matsson , Newton Mwai , Fredrik D. Johansson

Often the goal of model selection is to choose a model for future prediction, and it is natural to measure the accuracy of a future prediction by squared error loss. Under the Bayesian approach, it is commonly perceived that the optimal…

Statistics Theory · Mathematics 2007-06-13 Maria Maddalena Barbieri , James O. Berger

For estimating conditional survival functions, non-parametric estimators can be preferred to parametric and semi-parametric estimators due to relaxed assumptions that enable robust estimation. Yet, even when misspecified, parametric and…

Methodology · Statistics 2014-12-23 Andrew Wey , John Connett , Kyle Rudser

Over the past decades, researchers and ML practitioners have come up with better and better ways to build, understand and improve the quality of ML models, but mostly under the key assumption that the training data is distributed…

Machine Learning · Computer Science 2019-10-14 Yeounoh Chung , Peter J. Haas , Eli Upfal , Tim Kraska

We examine two different techniques for parameter averaging in GAN training. Moving Average (MA) computes the time-average of parameters, whereas Exponential Moving Average (EMA) computes an exponentially discounted sum. Whilst MA is known…

It is oftentimes impossible to understand how machine learning models reach a decision. While recent research has proposed various technical approaches to provide some clues as to how a learning model makes individual decisions, they cannot…

Machine Learning · Computer Science 2017-05-25 Wenbo Guo , Kaixuan Zhang , Lin Lin , Sui Huang , Xinyu Xing

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using…

Machine Learning · Statistics 2019-05-28 Aliaksandr Hubin , Geir Storvik

We consider a linear minimum mean squared error (LMMSE) estimation framework with model mismatch where the assumed model order is smaller than that of the underlying linear system which generates the data used in the estimation process. By…

Signal Processing · Electrical Eng. & Systems 2021-05-26 Martin Hellkvist , Ayça Özçelikkale

Competing risk analysis considers event times due to multiple causes, or of more than one event types. Commonly used regression models for such data include 1) cause-specific hazards model, which focuses on modeling one type of event while…

Applications · Statistics 2017-04-27 Jiayi Hou , Anthony Paravati , Ronghui Xu , James Murphy

Random-effects meta-analyses are very commonly used in medical statistics. Recent methodological developments include multivariate (multiple outcomes) and network (multiple treatments) meta-analysis. Here we provide a new model and…

Methodology · Statistics 2017-08-16 Dan Jackson , Sylwia Bujkiewicz , Martin Law , Richard D Riley , Ian White

Measurement error data or errors-in-variable data have been collected in many studies. Natural criterion functions are often unavailable for general functional measurement error models due to the lack of information on the distribution of…

Statistics Theory · Mathematics 2010-02-24 Yanyuan Ma , Runze Li

We provide a brief overview of both Bayes and classical model selection. We argue tentatively that model selection has at least two major goals, that of finding the correct model or predicting well, and that in general both these goals may…

Statistics Theory · Mathematics 2015-10-05 Ritabrata Dutta , Malgortaza Bogdan , Jayanta K. Ghosh

Support vector machine (SVM) is a powerful classification method that has achieved great success in many fields. Since its performance can be seriously impaired by redundant covariates, model selection techniques are widely used for SVM…

Machine Learning · Statistics 2022-07-25 Chaoxia Yuan , Chao Ying , Zhou Yu , Fang Fang