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Score matching estimators have gained widespread attention in recent years partly because they are free from calculating the integral of normalizing constant, thereby addressing the computational challenges in maximum likelihood estimation…

Machine Learning · Statistics 2024-10-08 Haoqun Cao , Zizhuo Meng , Tianjun Ke , Feng Zhou

Score matching is a recently developed parameter learning method that is particularly effective to complicated high dimensional density models with intractable partition functions. In this paper, we study two issues that have not been…

Machine Learning · Computer Science 2012-05-14 Siwei Lyu

Score matching is an estimation procedure that has been developed for statistical models whose probability density function is known up to proportionality but whose normalizing constant is intractable, so that maximum likelihood is…

Methodology · Statistics 2024-04-23 Jiazhen Xu , Janice L. Scealy , Andrew T. A. Wood , Tao Zou

Spatio-temporal point processes (STPPs) are potent mathematical tools for modeling and predicting events with both temporal and spatial features. Despite their versatility, most existing methods for learning STPPs either assume a restricted…

Machine Learning · Computer Science 2023-10-26 Zichong Li , Qunzhi Xu , Zhenghao Xu , Yajun Mei , Tuo Zhao , Hongyuan Zha

One of the major problems for maximum likelihood estimation in the well-established directional models is that the normalising constants can be difficult to evaluate. A new general method of "score matching estimation" is presented here on…

Statistics Theory · Mathematics 2016-04-29 Kanti V Mardia , John T Kent , Arnab K Laha

Proposed in Hyv\"arinen (2005), score matching is a parameter estimation procedure that does not require computation of distributional normalizing constants. In this work we utilize the geometric median of means to develop a robust score…

Machine Learning · Statistics 2025-06-23 Richard Schwank , Andrew McCormack , Mathias Drton

Score matching is a vital tool for learning the distribution of data with applications across many areas including diffusion processes, energy based modelling, and graphical model estimation. Despite all these applications, little work…

Machine Learning · Statistics 2025-06-03 Josh Givens , Song Liu , Henry W J Reeve

Score matching is an alternative to maximum likelihood (ML) for estimating a probability distribution parametrized up to a constant of proportionality. By fitting the ''score'' of the distribution, it sidesteps the need to compute this…

Machine Learning · Computer Science 2023-06-06 Chirag Pabbaraju , Dhruv Rohatgi , Anish Sevekari , Holden Lee , Ankur Moitra , Andrej Risteski

With the rapid advancements in technology for data collection, the application of the spatial autoregressive (SAR) model has become increasingly prevalent in real-world analysis, particularly when dealing with large datasets. However, the…

Econometrics · Economics 2025-05-05 Xuan Liang , Tao Zou

Conditional density estimation is a general framework for solving various problems in machine learning. Among existing methods, non-parametric and/or kernel-based methods are often difficult to use on large datasets, while methods based on…

Machine Learning · Statistics 2018-06-06 Hiroaki Sasaki , Aapo Hyvärinen

Diffusion models are typically trained using score matching, a learning objective agnostic to the underlying noising process that guides the model. This paper argues that Markov noising processes enjoy an advantage over alternatives, as the…

Machine Learning · Statistics 2025-05-27 Zheyang Shen , Huihui Wang , Marina Riabiz , Chris J. Oates

Deep generative models parametrized up to a normalizing constant (e.g. energy-based models) are difficult to train by maximizing the likelihood of the data because the likelihood and/or gradients thereof cannot be explicitly or efficiently…

Machine Learning · Computer Science 2022-12-26 Frederic Koehler , Alexander Heckett , Andrej Risteski

Many probabilistic models that have an intractable normalizing constant may be extended to contain covariates. Since the evaluation of the exact likelihood is difficult or even impossible for these models, score matching was proposed to…

Statistics Theory · Mathematics 2022-03-21 Jiazhen Xu , Janice L. Scealy , Andrew T. A. Wood , Tao Zou

In many contexts, customized and weighted classification scores are designed in order to evaluate the goodness of the predictions carried out by neural networks. However, there exists a discrepancy between the maximization of such scores…

Machine Learning · Computer Science 2023-05-24 Francesco Marchetti , Sabrina Guastavino , Cristina Campi , Federico Benvenuto , Michele Piana

Score matching is a popular method for estimating unnormalized statistical models. However, it has been so far limited to simple, shallow models or low-dimensional data, due to the difficulty of computing the Hessian of log-density…

Machine Learning · Computer Science 2019-06-28 Yang Song , Sahaj Garg , Jiaxin Shi , Stefano Ermon

The propensity score analysis is one of the most widely used methods for studying the causal treatment effect in observational studies. This paper studies treatment effect estimation with the method of matching weights. This method…

Methodology · Statistics 2011-05-17 Liang Li

Score matching is an approach to learning probability distributions parametrized up to a constant of proportionality (e.g. Energy-Based Models). The idea is to fit the score of the distribution, rather than the likelihood, thus avoiding the…

Machine Learning · Computer Science 2024-01-31 Yilong Qin , Andrej Risteski

Traditional methods for matching in causal inference are impractical for high-dimensional datasets. They suffer from the curse of dimensionality: exact matching and coarsened exact matching find exponentially fewer matches as the input…

Machine Learning · Statistics 2026-02-12 Oscar Clivio , Fabian Falck , Brieuc Lehmann , George Deligiannidis , Chris Holmes

Point estimation is a fundamental statistical task. Given the wide selection of available point estimators, it is unclear, however, what, if any, would be universally-agreed theoretical reasons to generally prefer one such estimator over…

Statistics Theory · Mathematics 2024-06-05 Michael Brand

This paper contributes to the literature on treatment effects estimation with machine learning inspired methods by studying the performance of different estimators based on the Lasso. Building on recent work in the field of high-dimensional…

Econometrics · Economics 2018-05-15 Michael Zimmert
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