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The task of distribution generalization concerns making reliable prediction of a response in unseen environments. The structural causal models are shown to be useful to model distribution changes through intervention. Motivated by the…

统计方法学 · 统计学 2022-06-14 Kang Du , Yu Xiang

Compartmental models based on tracer mass balance are extensively used in clinical and pre-clinical nuclear medicine in order to obtain quantitative information on tracer metabolism in the biological tissue. This paper is the first of a…

定量方法 · 定量生物学 2018-08-21 Fabrice Delbary , Sara Garbarino , Valentina Vivaldi

Reliable predictions from systems biology models require knowing whether parameters can be estimated from available data, and with what certainty. Identifiability analysis reveals whether parameters are learnable in principle (structural…

Statistical latent class models are widely used in social and psychological researches, yet it is often difficult to establish the identifiability of the model parameters. In this paper we consider the identifiability issue of a family of…

统计方法学 · 统计学 2016-03-15 Gongjun Xu

Identifiability is a desirable property of a statistical model: it implies that the true model parameters may be estimated to any desired precision, given sufficient computational resources and data. We study identifiability in the context…

机器学习 · 统计学 2020-07-09 Geoffrey Roeder , Luke Metz , Diederik P. Kingma

We introduce the network model as a formal psychometric model, conceptualizing the covariance between psychometric indicators as resulting from pairwise interactions between observable variables in a network structure. This contrasts with…

统计理论 · 数学 2026-05-06 Sacha Epskamp , Mijke Rhemtulla , Denny Borsboom

Pairwise comparisons between alternatives are a well-known method for measuring preferences of a decision-maker. Since these often do not exhibit consistency, a number of inconsistency indices has been introduced in order to measure the…

人工智能 · 计算机科学 2019-06-20 László Csató

Log-linear models are typically fitted to contingency table data to describe and identify the relationship between different categorical variables. However, the data may include observed zero cell entries. The presence of zero cell entries…

统计方法学 · 统计学 2022-12-01 Serveh Sharifi Far , Michail Papathomas , Ruth King

A key goal of unsupervised representation learning is "inverting" a data generating process to recover its latent properties. Existing work that provably achieves this goal relies on strong assumptions on relationships between the latent…

机器学习 · 计算机科学 2021-11-01 Kartik Ahuja , Jason Hartford , Yoshua Bengio

The linear regression models are widely used statistical techniques in numerous practical applications. The standard regression model requires several assumptions about the regres- sors and the error term. The regression parameters are…

统计方法学 · 统计学 2016-10-23 P. Vellaisamy

Empirical process theory for i.i.d. observations has emerged as a ubiquitous tool for understanding the generalization properties of various statistical problems. However, in many applications where the data exhibit temporal dependencies…

统计理论 · 数学 2024-01-18 Nabarun Deb , Debarghya Mukherjee

Distinguishability and, by extension, observability are key properties of dynamical systems. Establishing these properties is challenging, especially when no analytical model is available and they are to be inferred directly from…

系统与控制 · 电气工程与系统科学 2024-06-10 Pierre-François Massiani , Mona Buisson-Fenet , Friedrich Solowjow , Florent Di Meglio , Sebastian Trimpe

Latent feature models (LFM)s are widely employed for extracting latent structures of data. While offering high, parameter estimation is difficult with LFMs because of the combinational nature of latent features, and non-identifiability is a…

机器学习 · 计算机科学 2018-09-27 Ryota Suzuki , Shingo Takahashi , Murtuza Petladwala , Shigeru Kohmoto

Item response theory (IRT) is a popular modeling paradigm for measuring subject latent traits and item properties according to discrete responses in tests or questionnaires. There are very limited discussions on heterogeneity pattern…

应用统计 · 统计学 2020-06-02 Guanyu Hu , Zhihua Ma , Insu Paek

This paper studies the problems of identifiability and estimation in high-dimensional nonparametric latent structure models. We introduce an identifiability theorem that generalizes existing conditions, establishing a unified framework…

统计理论 · 数学 2025-08-06 Yichen Lyu , Pengkun Yang

This work proposes and evaluates a novel approach to determine interesting categorical attributes for lists of entities. Once identified, such categories are of immense value to allow constraining (filtering) a current view of a user to…

数据库 · 计算机科学 2017-11-30 Koninika Pal , Sebastian Michel

A brief summary of the objections to the relational nature of inertial mass, gravitational mass and electric charge is presented. The objections are refuted by showing that the measurement process of comparing an instrument reference clock…

经典物理 · 物理学 2014-06-24 Craig R. Holt

Multi-sensor state space models underpin fusion applications in networks of sensors. Estimation of latent parameters in these models has the potential to provide highly desirable capabilities such as network self-calibration. Conventional…

系统与控制 · 计算机科学 2018-01-04 Murat Uney , Bernard Mulgrew , Daniel E Clark

We provide an analytical argument for understanding the likely nature of parameter shifts between those coming from an analysis of a dataset and from a subset of that dataset, assuming differences are down to noise and any intrinsic…

天体物理仪器与方法 · 物理学 2020-10-28 Steven Gratton , Anthony Challinor

In the context of the quantum mechanical modelling of a measurement process using the Stern-Gerlach setup, we critically examine the relationship between the notion of `distinguishability' of apparatus states defined in terms of the inner…

量子物理 · 物理学 2009-11-13 Dipankar Home , Alok Kumar Pan , Md. Manirul Ali , A. S. Majumdar