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While adaptive experimental design has outgrown one-dimensional, staircase-based adaptations, most cognitive experiments still control a single factor and summarize performance with a scalar. We show a validation of a Bayesian, two-axis,…

机器学习 · 计算机科学 2025-10-02 Dom CP Marticorena , Chris Wissmann , Zeyu Lu , Dennis L Barbour

A family of variable stage size multistage tests of simple hypotheses is described, based on efficient multistage sampling procedures. Using a loss function that is a linear combination of sampling costs and error probabilities, these tests…

统计理论 · 数学 2009-09-29 Jay Bartroff

To design Bayesian studies, criteria for the operating characteristics of posterior analyses - such as power and the type I error rate - are often assessed by estimating sampling distributions of posterior probabilities via simulation. In…

统计方法学 · 统计学 2025-03-17 Luke Hagar , Nathaniel T. Stevens

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…

机器学习 · 统计学 2015-08-04 Yuval Harel , Ron Meir , Manfred Opper

Bayesian inference of Bayesian network structures is often performed by sampling directed acyclic graphs along an appropriately constructed Markov chain. We present two techniques to improve sampling. First, we give an efficient…

机器学习 · 计算机科学 2025-10-30 Daniele Nikzad , Alexander Zhilkin , Juha Harviainen , Jack Kuipers , Giusi Moffa , Mikko Koivisto

Investigation of neural circuit functioning often requires statistical interpretation of events in subthreshold electrophysiological recordings. This problem is non-trivial because recordings may have moderate levels of structured noise and…

定量方法 · 定量生物学 2016-05-19 Josh Merel , Ben Shababo , Alex Naka , Hillel Adesnik , Liam Paninski

Bayesian experimental design (BED) is a principled framework for data-efficient design of sequential experiments. However, existing BED methods are unable to adapt to dynamic constraints inherent in real-world tasks due to budget…

机器学习 · 统计学 2026-05-27 Yujia Guo , Daolang Huang , Xinyu Zhang , Sammie Katt , Samuel Kaski , Ayush Bharti

The Bayesian approach to data analysis provides a powerful way to handle uncertainty in all observations, model parameters, and model structure using probability theory. Probabilistic programming languages make it easier to specify and fit…

This paper presents a two-step Bayesian framework for the estimation of the intrinsic single crystal elastic stiffness parameters from the measurements of spherical indentation stress-strain responses in multiple individual grains of a…

计算物理 · 物理学 2019-05-07 Andrew Castillo , Surya R. Kalidindi

Recent improvements in additive manufacturing and high-throughput material synthesis have enabled the discovery of novel metallic materials for extreme environments. However, high-fidelity testing of advanced mechanical properties such as…

材料科学 · 物理学 2025-02-20 C. Bean , M. Calvat , Y. Nie , R. L Black , N. Velisavljevic , D. Anjaria , M. A. Charpagne , J. C. Stinville

In many applications, ranging from logistics to engineering, a designer is faced with a sequence of optimization tasks for which the objectives are in the form of black-box functions that are costly to evaluate. Furthermore, higher-fidelity…

机器学习 · 计算机科学 2025-01-09 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

In psychophysical experiments time and the limited goodwill of participants is usually a major constraint. This has been the main motivation behind the early development of adaptive methods for the measurements of psychometric thresholds.…

应用统计 · 统计学 2008-09-03 Simon Barthelmé , Pascal Mamassian

Subclassification estimators are one of the methods used to estimate causal effects of interest using the propensity score. This method is more stable compared to other weighting methods, such as inverse probability weighting estimators, in…

统计方法学 · 统计学 2024-10-22 Shunichiro Orihara , Tomotaka Momozaki

Recovering dynamical equations from observed noisy data is the central challenge of system identification. We develop a statistical mechanics approach to analyze sparse equation discovery algorithms, which typically balance data fit and…

统计力学 · 物理学 2025-09-16 Andrei A. Klishin , Joseph Bakarji , J. Nathan Kutz , Krithika Manohar

Parameter estimates for associated genetic variants, report ed in the initial discovery samples, are often grossly inflated compared to the values observed in the follow-up replication samples. This type of bias is a consequence of the…

应用统计 · 统计学 2011-04-15 Lizhen Xu , Radu V. Craiu , Lei Sun

Experimental design is crucial for inference where limitations in the data collection procedure are present due to cost or other restrictions. Optimal experimental designs determine parameters that in some appropriate sense make the data…

机器学习 · 统计学 2016-03-11 Panagiotis Tsilifis , Roger G. Ghanem , Paris Hajali

High-quality nanomechanical oscillators can sensitively probe force, mass, or displacement in experiments bridging the gap between the classical and quantum domain. Dynamics of these stochastic systems is inherently determined by the…

When partitioning workflows in realistic scenarios, the knowledge of the processing units is often vague or unknown. A naive approach to addressing this issue is to perform many controlled experiments for different workloads, each…

分布式、并行与集群计算 · 计算机科学 2015-11-03 Freddy C. Chua , Bernardo A. Huberman

We propose a novel method for sampling and optimization tasks based on a stochastic interacting particle system. We explain how this method can be used for the following two goals: (i) generating approximate samples from a given target…

动力系统 · 数学 2021-11-05 J. A. Carrillo , F. Hoffmann , A. M. Stuart , U. Vaes

Bayesian experimental design (BED) provides a principled framework for optimizing data collection by choosing experiments that are maximally informative about unknown parameters. However, existing methods cannot deal with the joint…

机器学习 · 统计学 2026-01-30 Sara Pérez-Vieites , Sahel Iqbal , Simo Särkkä , Dominik Baumann