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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

We study identification of differentiated product demand from market-level data when product characteristics can be endogenous. Past work suggests nonparametric identification may be impossible: that is, in addition to standard price…

计量经济学 · 经济学 2026-02-23 Kirill Borusyak , Jiafeng Chen , Peter Hull , Lihua Lei

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

Identifiability conditions for single or multiple modules in a dynamic network specify under which conditions the considered modules can be uniquely recovered from the second-order statistical properties of the measured signals. Conditions…

系统与控制 · 电气工程与系统科学 2021-10-28 Shengling Shi , Xiaodong Cheng , Paul M. J. Van den Hof

This paper provides nonparametric identification results for random coefficient distributions in perturbed utility models. We cover discrete and continuous choice models. We establish identification using variation in mean quantities, and…

计量经济学 · 经济学 2020-03-03 Roy Allen , John Rehbeck

This paper considers nonparametric identification and estimation of the regression function when a covariate is mismeasured. The measurement error need not be classical. Employing the small measurement error approximation, we establish…

计量经济学 · 经济学 2024-03-19 Kirill S. Evdokimov , Andrei Zeleneev

We study identification and inference in nonlinear dynamic systems defined on unknown interaction networks. The system evolves through an unobserved dependence matrix governing cross-sectional shock propagation via a nonlinear operator. We…

机器学习 · 统计学 2026-04-08 Diego Vallarino

In this paper we extensively investigate the class of conditionally positive definite operators, namely operators generating conditionally positive definite sequences. This class itself contains subnormal operators, $2$- and $3$-isometries…

泛函分析 · 数学 2022-01-26 Zenon Jan Jabłoński , Il Bong Jung , Jan Stochel

The so far most general identification result in the context of nonparametric transformation models is proven. The result is constructive in the sense that it provides an explicit expression of the transformation function.

统计理论 · 数学 2020-03-13 Nick Kloodt

This contribution presents a parameter identification methodology for the accurate and fast estimation of model parameters in a pseudo-two-dimensional (P2D) battery model. The methodology consists of three key elements. First, the data for…

系统与控制 · 电气工程与系统科学 2025-07-21 L. D. Couto , K. Haghverdi , F. Guo , K. Trad , G. Mulder

One of the commonly used approaches to capture dependence in multivariate survival data is through the frailty variables. The identifiability issues should be carefully investigated while modeling multivariate survival with or without…

统计方法学 · 统计学 2024-07-03 Biswadeep Ghosh , Anup Dewanji , Sudipta Das

The bifactor model and its extensions are multidimensional latent variable models, under which each item measures up to one subdimension on top of the primary dimension(s). Despite their wide applications to educational and psychological…

统计理论 · 数学 2020-12-23 Guanhua Fang , Xin Xu , Jinxin Guo , Zhiliang Ying , Susu Zhang

The random utility model is known to be unidentified, but there are times when the model admits a unique representation. We offer two characterizations for the existence of a unique random utility representation. Our first characterization…

理论经济学 · 经济学 2023-02-14 Christopher Turansick

We study the existence of positive eigenpairs for a class of Caputo fractional autonomous evolution equations with nonlocal initial condition within the framework of Banach lattices. The autonomous linear operator generates a compact…

泛函分析 · 数学 2026-05-13 Sajid Ullah , Assia Guezane-Lakoud

We find that the CAPM fails to explain the small firm effect even if its non-parametric form is used which allows time-varying risk and non-linearity in the pricing function. Furthermore, the linearity of the CAPM can be rejected, thus the…

证券定价 · 定量金融 2017-03-29 Peter Erdos , Mihaly Ormos , David Zibriczky

Many economic and causal parameters depend on nonparametric or high dimensional first steps. We give a general construction of locally robust/orthogonal moment functions for GMM, where moment conditions have zero derivative with respect to…

Identifiability concerns finding which unknown parameters of a model can be quantified from given input-output data. Many linear ODE models, used in systems biology and pharmacokinetics, are unidentifiable, which means that parameters can…

代数几何 · 数学 2013-12-12 Nicolette Meshkat , Seth Sullivant

We establish nonparametric identification in a class of so-called index models using a novel approach that relies on general topological results. Our proof strategy requires substantially weaker conditions on the functions and distributions…

计量经济学 · 经济学 2020-04-20 Mogens Fosgerau , Dennis Kristensen

This paper establishes (set) identification results in a dynamic dyadic network formation model with time-varying observed covariates, lagged local network statistics, and unobserved heterogeneity in the form of fixed effects. Our framework…

计量经济学 · 经济学 2026-04-10 Wayne Yuan Gao , Yi Niu

We study a class of nonlinear eigenvalue problems which involves a convolution operator as well as a superlinear nonlinearity. Our variational existence proof is based on constrained optimization and provides a one-parameter family of…

数学物理 · 物理学 2020-03-16 Michael Herrmann , Karsten Matthies