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We propose a new approach for estimating the parameters of a probability distribution. It consists on combining two new methods of estimation. The first is based on the definition of a new distance measuring the difference between…

Methodology · Statistics 2008-12-30 Ahmed Guellil , Tewfik Kernane

Consistent approximations obtained by geometric means ($GM$) and the principal eigenvector ($EV$), turned out to be close enough for 1,000,000 not-so-inconsistent pairwise comparisons matrices. In this respect both methods are accurate…

Other Computer Science · Computer Science 2015-05-11 M. W. Herman , W. W. Koczkodaj

The likelihood functions for discretely observed nonlinear continuous-time models based on stochastic differential equations are not available except for a few cases. Various parameter estimation techniques have been proposed, each with…

Methodology · Statistics 2025-04-17 Predrag Pilipovic , Adeline Samson , Susanne Ditlevsen

We aim to create the highest possible quality of treatment-control matches for categorical data in the potential outcomes framework. Matching methods are heavily used in the social sciences due to their interpretability, but most matching…

Machine Learning · Statistics 2019-06-11 Yameng Liu , Aw Dieng , Sudeepa Roy , Cynthia Rudin , Alexander Volfovsky

Gaussian mixture models (GMM) are powerful parametric tools with many applications in machine learning and computer vision. Expectation maximization (EM) is the most popular algorithm for estimating the GMM parameters. However, EM…

Computer Vision and Pattern Recognition · Computer Science 2017-11-17 Soheil Kolouri , Gustavo K. Rohde , Heiko Hoffmann

We consider the problem of estimating change in the dependency structure between two $p$-dimensional Ising models, based on respectively $n_1$ and $n_2$ samples drawn from the models. The change is assumed to be structured, e.g., sparse,…

Statistics Theory · Mathematics 2016-06-17 Farideh Fazayeli , Arindam Banerjee

We consider the problem of recovering an unknown matching between a set of $n$ randomly placed points in $\mathbb{R}^d$ and random perturbations of these points. This can be seen as a model for particle tracking and more generally, entity…

Statistics Theory · Mathematics 2024-03-27 Lucas da Rocha Schwengber , Roberto Imbuzeiro Oliveira

Mixture distributions arise in many parametric and non-parametric settings -- for example, in Gaussian mixture models and in non-parametric estimation. It is often necessary to compute the entropy of a mixture, but, in most cases, this…

Information Theory · Computer Science 2022-11-22 Artemy Kolchinsky , Brendan D. Tracey

In this paper, different strands of literature are combined in order to obtain algorithms for semi-parametric estimation of discrete choice models that include the modelling of unobserved heterogeneity by using mixing distributions for the…

Methodology · Statistics 2022-12-12 Dietmar Bauer , Sebastian Büscher , Manuel Batram

Downsampling or under-sampling is a technique that is utilized in the context of large and highly imbalanced classification models. We study optimal downsampling for imbalanced classification using generalized linear models (GLMs). We…

Machine Learning · Statistics 2025-05-20 Yan Chen , Jose Blanchet , Krzysztof Dembczynski , Laura Fee Nern , Aaron Flores

We present a method for estimating the maximal symmetry of a continuous regression function. Knowledge of such a symmetry can be used to significantly improve modelling by removing the modes of variation resulting from the symmetries.…

Methodology · Statistics 2023-12-21 Louis G. Christie , John A. D. Aston

We provide an efficient unified plug-in approach for estimating symmetric properties of distributions given $n$ independent samples. Our estimator is based on profile-maximum-likelihood (PML) and is sample optimal for estimating various…

Machine Learning · Statistics 2022-10-14 Moses Charikar , Zhihao Jiang , Kirankumar Shiragur , Aaron Sidford

This paper compares six different parameter estimation methods for shared frailty models via a series of simulation studies. A shared frailty model is a survival model that incorporates a random effect term, where the frailties are common…

Methodology · Statistics 2023-11-21 Tingxuan Wu , Cindy Feng , Longhai Li

This work proposes a multi-image matching method to estimate semantic correspondences across multiple images. In contrast to the previous methods that optimize all pairwise correspondences, the proposed method identifies and matches only a…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Qianqian Wang , Xiaowei Zhou , Kostas Daniilidis

We propose a class of robust estimates for multivariate linear models. Based on the approach of MM estimation (Yohai 1987), we estimate the regression coefficients and the covariance matrix of the errors simultaneously. These estimates have…

Statistics Theory · Mathematics 2025-12-03 Nadia L. Kudraszow , Ricardo A. Maronna

There have been two separate lines of work on estimating Ising models: (1) estimating them from multiple independent samples under minimal assumptions about the model's interaction matrix; and (2) estimating them from one sample in…

Statistics Theory · Mathematics 2020-12-11 Yuval Dagan , Constantinos Daskalakis , Nishanth Dikkala , Anthimos Vardis Kandiros

Estimating spatial regression models on large, irregularly structured datasets poses significant computational hurdles. While Pairwise Likelihood (PL) methods offer a pathway to simplify these estimations, the efficient selection of…

Methodology · Statistics 2025-07-11 Giuseppe Arbia , Vincenzo Nardelli , Niccolo Salvini

This paper introduces posterior mean matching (PMM), a new method for generative modeling that is grounded in Bayesian inference. PMM uses conjugate pairs of distributions to model complex data of various modalities like images and text,…

Machine Learning · Computer Science 2024-12-23 Sebastian Salazar , Michal Kucer , Yixin Wang , Emily Casleton , David Blei

This paper introduces distribution-based prediction, a novel approach to using Large Language Models (LLMs) as predictive tools by interpreting output token probabilities as distributions representing the models' learned representation of…

Artificial Intelligence · Computer Science 2024-11-07 Caleb Bradshaw , Caelen Miller , Sean Warnick

The grammatical knowledge of language models (LMs) is often measured using a benchmark of linguistic minimal pairs, where the LMs are presented with a pair of acceptable and unacceptable sentences and required to judge which is more…

Computation and Language · Computer Science 2025-02-10 Yusuke Ide , Yuto Nishida , Justin Vasselli , Miyu Oba , Yusuke Sakai , Hidetaka Kamigaito , Taro Watanabe