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We develop a new statistical ideal observer model that performs holistic visual search (or gist) processing in part by placing thresholds on minimum extractable image features. In this model, the ideal observer reduces the number of free…

Computer Vision and Pattern Recognition · Computer Science 2026-01-14 Howard C. Gifford

This paper compares classical parametric methods with recently developed Bayesian methods for system identification. A Full Bayes solution is considered together with one of the standard approximations based on the Empirical Bayes paradigm.…

Machine Learning · Statistics 2015-07-03 D. Romeres , G. Prando , G. Pillonetto , A. Chiuso

High-precision measurements require optimal setups and analysis tools to achieve continuous improvements. Systematic corrections need to be modeled with high accuracy and known uncertainty to reconstruct underlying physical phenomena. To…

Data Analysis, Statistics and Probability · Physics 2022-05-31 Max Lamparth , Mattis Bestehorn , Bastian Märkisch

Physics increasingly uses Bayesian techniques for systematic data analysis and model-to-data comparison. This paper describes how these methods can be implemented to answer questions of relevance to teaching laboratories. It demonstrates…

Physics Education · Physics 2022-07-21 Matthew Heffernan

We provide a method to solve optimization problem when objective function is a complex stochastic simulator of an urban transportation system. To reach this goal, a Bayesian optimization framework is introduced. We show how the choice of…

Computation · Statistics 2019-01-15 Laura Schultz , Vadim Sokolov

Modeling the ideological perspectives of political actors is an essential task in computational political science with applications in many downstream tasks. Existing approaches are generally limited to textual data and voting records,…

Computation and Language · Computer Science 2022-01-04 Shangbin Feng , Zhaoxuan Tan , Zilong Chen , Peisheng Yu , Qinghua Zheng , Xiaojun Chang , Minnan Luo

This paper presents a Bayesian framework for assessing the adequacy of a model without the necessity of explicitly enumerating a specific alternate model. A test statistic is developed for tracking the performance of the model across…

Artificial Intelligence · Computer Science 2013-03-25 Kathryn Blackmond Laskey

In this article, we make an innovative adaptation of a Bayesian latent space model based on projections in a novel way to analyze influence networks. By appropriately reparameterizing the model, we establish a formal metric for quantifying…

Methodology · Statistics 2024-08-27 Samuel Sánchez-Gutiérrez , Juan Sosa , Carolina Luque

Bayesian methods are useful for statistical inference. However, real-world problems can be challenging using Bayesian methods when the data analyst has only limited prior knowledge. In this paper we consider a class of problems, called…

Methodology · Statistics 2019-11-20 Yixuan Qiu , Lingsong Zhang , Chuanhai Liu

The Family Planning Estimation Tool (FPET) is used in low- and middle-income countries to produce estimates and short-term forecasts of family planning indicators, such as modern contraceptive use and unmet need for contraceptives.…

We give an overview of the diverse electoral systems used in local, national, or super-national elections around the world. We discuss existing methods for selecting single and multiple winners and give real-world examples for some more…

Economics · Quantitative Finance 2016-10-25 Siamak F. Shahandashti

The exploration of complex physical or technological processes usually requires exploiting available information from different sources: (i) physical laws often represented as a family of parameter dependent partial differential equations…

Numerical Analysis · Mathematics 2020-02-04 Albert Cohen , Wolfgang Dahmen , Ron DeVore

Phase estimation protocols provide a fundamental benchmark for the field of quantum metrology. The latter represents one of the most relevant applications of quantum theory, potentially enabling the capability of measuring unknown physical…

Small area population estimates are useful for decision making in the private and public sectors. However, in small areas (i.e., those that are difficult to reach and with small population sizes) computing demographic quantities is…

Applications · Statistics 2019-05-15 Jairo Fúquene , Andryu Mendoza , Cesar Cristancho , Mariana Ospina

The process of dynamic state estimation (filtering) based on point process observations is in general intractable. Numerical sampling techniques are often practically useful, but lead to limited conceptual insight about optimal…

Machine Learning · Statistics 2015-08-04 Yuval Harel , Ron Meir , Manfred Opper

Computer simulations have become an important tool across the biomedical sciences and beyond. For many important problems several different models or hypotheses exist and choosing which one best describes reality or observed data is not…

Quantitative Methods · Quantitative Biology 2010-01-20 Tina Toni , Michael P. H. Stumpf

Frequentist statistical methods, such as hypothesis testing, are standard practice in papers that provide benchmark comparisons. Unfortunately, these methods have often been misused, e.g., without testing for their statistical test…

Methodology · Statistics 2021-05-18 David Issa Mattos , Jan Bosch , Helena Holmström Olsson

We propose a novel Bayesian Optimization approach for black-box functions with an environmental variable whose value determines the tradeoff between evaluation cost and the fidelity of the evaluations. Further, we use a novel approach to…

Machine Learning · Statistics 2018-05-16 Mark McLeod , Michael A. Osborne , Stephen J. Roberts

Intelligent Agents are being applied in a wide range of processes and everyday applications. Their development is not new, in recent years they have had an increased attention and design in learning and as mentoring tools. In this paper we…

Physics Education · Physics 2014-12-11 D. Sanchez-Guzman , Cesar Mora , R. Garcia-Salcedo

Bayesian analysis is a framework for parameter estimation that applies even in uncertainty regimes where the commonly used local (frequentist) analysis based on the Cram\'er-Rao bound is not well defined. In particular, it applies when no…

Quantum Physics · Physics 2021-03-17 Simon Morelli , Ayaka Usui , Elizabeth Agudelo , Nicolai Friis