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Variable selection, also known as feature selection in machine learning, plays an important role in modeling high dimensional data and is key to data-driven scientific discoveries. We consider here the problem of detecting influential…

统计方法学 · 统计学 2014-09-24 Bo Jiang , Jun S. Liu

In machine learning one of the strategic tasks is the selection of only significant variables as predictors for the response(s). In this paper an approach is proposed which consists in the application of permutation tests on the candidate…

Statistical prediction models are often trained on data from different probability distributions than their eventual use cases. One approach to proactively prepare for these shifts harnesses the intuition that causal mechanisms should…

机器学习 · 计算机科学 2023-08-02 Bijan Mazaheri , Atalanti Mastakouri , Dominik Janzing , Michaela Hardt

Classic statistical techniques (like the multi-dimensional likelihood and the Fisher discriminant method) together with Multi-layer Perceptron and Learning Vector Quantization Neural Networks have been systematically used in order to find…

高能物理 - 唯象学 · 物理学 2008-11-26 A. Bueno , A. Martinez de la Ossa , S. Navas , A. Rubbia

The top squark (stop) may dominantly decay to a bottom quark and a chargino if the mass difference between the stop and the lightest neutralino is comparable or less than the top quark mass. Such a moderately compressed spectrum is a…

高能物理 - 唯象学 · 物理学 2015-06-15 Yang Bai , Hsin-Chia Cheng , Jason Gallicchio , Jiayin Gu

We introduce a new variational estimator for the intensity function of an inhomogeneous spatial point process with points in the $d$-dimensional Euclidean space and observed within a bounded region. The variational estimator applies in a…

统计理论 · 数学 2014-07-02 Jean-François Coeurjolly , Jesper Møller

Variable selection has received widespread attention over the last decade as we routinely encounter high-throughput datasets in complex biological and environment research. Most Bayesian variable selection methods are restricted to mixture…

统计方法学 · 统计学 2015-03-24 Hanning Li , Debdeep Pati

Adjusting for covariates is a well established method to estimate the total causal effect of an exposure variable on an outcome of interest. Depending on the causal structure of the mechanism under study there may be different adjustment…

统计理论 · 数学 2021-04-27 Jack Kuipers , Giusi Moffa

A common approach for feature selection is to examine the variable importance scores for a machine learning model, as a way to understand which features are the most relevant for making predictions. Given the significance of feature…

机器学习 · 计算机科学 2021-05-13 Jack Dunn , Luca Mingardi , Ying Daisy Zhuo

Potential heuristics for state-space search are defined as weighted sums over simple state features. Atomic features consider the value of a single state variable in a factored state representation, while binary features consider joint…

人工智能 · 计算机科学 2019-09-27 Florian Pommerening , Malte Helmert , Blai Bonet

In this work we discuss the impact of nuisance parameters on the effectiveness of machine learning in high-energy physics problems, and provide a review of techniques that allow to include their effect and reduce their impact in the search…

机器学习 · 统计学 2021-01-19 Tommaso Dorigo , Pablo de Castro

Imputation models sometimes use auxiliary variables that, though not part of the planned analysis, can improve the accuracy of imputed values and the efficiency of point estimates. A recent article, using evidence from simulations, argued…

统计方法学 · 统计学 2013-11-22 Paul von Hippel , Jamie Lynch

How should we evaluate the effect of a policy on the likelihood of an undesirable event, such as conflict? The significance test has three limitations. First, relying on statistical significance misses the fact that uncertainty is a…

统计方法学 · 统计学 2022-05-03 Akisato Suzuki

Statistical mechanics relies on the complete though probabilistic description of a system in terms of all the microscopic variables. Its object is to derive therefrom static and dynamic properties involving some reduced set of variables.…

统计力学 · 物理学 2009-10-31 R. Balian

Discontinuities can be fairly arbitrary but also cause a significant impact on outcomes in larger systems. Indeed, their arbitrariness is why they have been used to infer causal relationships among variables in numerous settings. Regression…

信息论 · 计算机科学 2023-12-29 Ibtihal Ferwana , Suyoung Park , Ting-Yi Wu , Lav R. Varshney

Concentration inequalities, a major tool in probability theory, quantify how much a random variable deviates from a certain quantity. This paper proposes a systematic convex optimization approach to studying and generating concentration…

概率论 · 数学 2024-08-30 Celine Moucer , Adrien Taylor , Francis Bach

An analysis of high-dimensional data can offer a detailed description of a system but is often challenged by the curse of dimensionality. General dimensionality reduction techniques can alleviate such difficulty by extracting a few…

统计方法学 · 统计学 2021-09-28 Di Bo , Hoon Hwangbo , Vinit Sharma , Corey Arndt , Stephanie C. TerMaath

Many problems involve the use of models which learn probability distributions or incorporate randomness in some way. In such problems, because computing the true expected gradient may be intractable, a gradient estimator is used to update…

机器学习 · 计算机科学 2022-12-29 Ronan Keane , H. Oliver Gao

Weak values are average quantities,therefore investigating their associated variance is crucial in understanding their place in quantum mechanics. We develop the concept of a position-postselected weak variance of momentum as cohesively as…

量子物理 · 物理学 2015-08-10 M. R. Feyereisen

The long-term dynamics of many dynamical systems evolve on an attracting, invariant "slow manifold" that can be parameterized by a few observable variables. Yet a simulation using the full model of the problem requires initial values for…

计算物理 · 物理学 2007-05-23 C. W. Gear , T. J. Kaper , I. G. Kevrekidis , A. Zagaris