Almost sure uniqueness of a global minimum without convexity
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Publication:2176635
DOI10.1214/19-AOS1829zbMath1462.60049arXiv1803.02415MaRDI QIDQ2176635
Publication date: 5 May 2020
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.02415
global optimizationnonconvex optimizationmixture modelthreshold regressionM-estimationweak identificationargmax theorem
Asymptotic properties of parametric estimators (62F12) Nonparametric estimation (62G05) Sample path properties (60G17)
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Cites Work
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- Nearly unbiased variable selection under minimax concave penalty
- Gaussian and robust Kronecker product covariance estimation: existence and uniqueness
- Asymptotics for \(p\)-value based threshold estimation in regression settings
- Robust inference in nonlinear models with mixed identification strength
- Support recovery without incoherence: a case for nonconvex regularization
- The geometry of mixture likelihoods, part II: The exponential family
- Existence and uniqueness of the maximum likelihood estimator for models with a Kronecker product covariance structure
- Cube root asymptotics
- Criteria for unconstrained global optimization
- The geometry of mixture likelihoods: A general theory
- On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples
- Mixtures of exponential distributions
- On the arg max of a Gaussian process
- Maximum likelihood estimation of a compound Poisson process
- Binomial mixtures: Geometric estimation of the mixing distribution
- On the uniqueness of maximizers of Markov-Gaussian processes
- Nonconcave penalized likelihood with a diverging number of parameters.
- Weak convergence and empirical processes. With applications to statistics
- A set-indexed process in a two-region image
- Asymptotic properties of bridge estimators in sparse high-dimensional regression models
- Strong oracle optimality of folded concave penalized estimation
- Estimation and Inference With Weak, Semi-Strong, and Strong Identification
- Uniqueness of the maximum likelihood estimator for 𝑘-monotone densities
- A Mountain Pass Lemma and its implications regarding the uniqueness of constrained minimizers
- Estimation and inference with a (nearly) singular Jacobian
- On the Absolute Continuity of Distributions of Functionals of Random Processes
- Estimation of the weibull parameters with grouped data
- Maximum likelihood estimation for mixtures
- Semiparametric Estimation in the Rasch Model and Related Exponential Response Models, Including a Simple Latent Class Model for Item Analysis
- On the unimodality of the likelihood for the Cauchy distribution
- A Note on the Uniqueness of Roots of the Likelihood Equations for Vector-Valued Parameters
- Note on the Uniqueness of the Maximum Likelihood Estimator for the Tobit Model
- A model with mixed binary responses and censored observations
- Uniqueness of estimation and identifiability in mixture models
- Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
- GMM with Weak Identification
- A maximum likelihood estimation method for random coefficient regression models
- The Density of the Maximum Likelihood Estimator
- Smoothly Clipped Absolute Deviation on High Dimensions
- On the Location of the Maximum of a Continuous Stochastic Process
- On the uniqueness of the maximum likelihood estimator in truncated regression models
- On the uniqueness of the maximum likelihood estimator.
- A general theory of concave regularization for high-dimensional sparse estimation problems
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