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A statistical model is said to be un-normalised when its likelihood function involves an intractable normalising constant. Two popular methods for parameter inference for these models are MC-MLE (Monte Carlo maximum likelihood estimation),…

统计理论 · 数学 2018-02-01 Lionel Riou-Durand , Nicolas Chopin

Noise-contrastive estimation (NCE) is a popular method for estimating unnormalised probabilistic models, such as energy-based models, which are effective for modelling complex data distributions. Unlike classical maximum likelihood (ML)…

机器学习 · 统计学 2024-02-27 Amanda Olmin , Jakob Lindqvist , Lennart Svensson , Fredrik Lindsten

Many parametric statistical models are not properly normalised and only specified up to an intractable partition function, which renders parameter estimation difficult. Examples of unnormalised models are Gibbs distributions, Markov random…

机器学习 · 统计学 2018-06-12 Ciwan Ceylan , Michael U. Gutmann

Unnormalised latent variable models are a broad and flexible class of statistical models. However, learning their parameters from data is intractable, and few estimation techniques are currently available for such models. To increase the…

机器学习 · 统计学 2019-02-26 Benjamin Rhodes , Michael Gutmann

Noise Contrastive Estimation (NCE) is a powerful parameter estimation method for log-linear models, which avoids calculation of the partition function or its derivatives at each training step, a computationally demanding step in many cases.…

计算与语言 · 计算机科学 2018-09-07 Zhuang Ma , Michael Collins

Noise-contrastive estimation (NCE) is a statistically consistent method for learning unnormalized probabilistic models. It has been empirically observed that the choice of the noise distribution is crucial for NCE's performance. However,…

机器学习 · 计算机科学 2021-10-22 Bingbin Liu , Elan Rosenfeld , Pradeep Ravikumar , Andrej Risteski

Recent research has developed several Monte Carlo methods for estimating the normalization constant (partition function) based on the idea of annealing. This means sampling successively from a path of distributions that interpolate between…

机器学习 · 统计学 2023-10-10 Omar Chehab , Aapo Hyvarinen , Andrej Risteski

This paper studies a family of estimators based on noise-contrastive estimation (NCE) for learning unnormalized distributions. The main contribution of this work is to provide a unified perspective on various methods for learning…

机器学习 · 统计学 2025-07-15 J. Jon Ryu , Abhin Shah , Gregory W. Wornell

Noise Contrastive Estimation (NCE) has fueled major breakthroughs in representation learning and generative modeling. Yet a long-standing challenge remains: accurately estimating ratios between distributions that differ substantially, which…

Many statistical models are given in the form of non-normalized densities with an intractable normalization constant. Since maximum likelihood estimation is computationally intensive for these models, several estimation methods have been…

统计理论 · 数学 2021-09-01 Takeru Matsuda , Masatoshi Uehara , Aapo Hyvarinen

Noise contrastive estimation (NCE) is a popular method for training energy-based models (EBM) with intractable normalisation terms. The key idea of NCE is to learn by comparing unnormalised log-likelihoods of the reference and noisy…

声音 · 计算机科学 2025-05-21 Wanli Sun , Anton Ragni

Recent methods for learning unsupervised visual representations, dubbed contrastive learning, optimize the noise-contrastive estimation (NCE) bound on mutual information between two views of an image. NCE uses randomly sampled negative…

机器学习 · 计算机科学 2020-10-06 Mike Wu , Milan Mosse , Chengxu Zhuang , Daniel Yamins , Noah Goodman

Learning unnormalized statistical models (e.g., energy-based models) is computationally challenging due to the complexity of handling the partition function. To eschew this complexity, noise-contrastive estimation~(NCE) has been proposed by…

机器学习 · 计算机科学 2023-06-14 Wei Jiang , Jiayu Qin , Lingyu Wu , Changyou Chen , Tianbao Yang , Lijun Zhang

Unsupervised anomaly detection is a challenging task. Autoencoders (AEs) or generative models are often employed to model the data distribution of normal inputs and subsequently identify anomalous, out-of-distribution inputs by high…

机器学习 · 计算机科学 2025-06-12 Yalin Liao , Austin J. Brockmeier

We develop a general method for estimating a finite mixture of non-normalized models. Here, a non-normalized model is defined to be a parametric distribution with an intractable normalization constant. Existing methods for estimating…

机器学习 · 统计学 2021-09-01 Takeru Matsuda , Aapo Hyvarinen

Self-supervised learning is an increasingly popular approach to unsupervised learning, achieving state-of-the-art results. A prevalent approach consists in contrasting data points and noise points within a classification task: this requires…

机器学习 · 统计学 2023-01-25 Omar Chehab , Alexandre Gramfort , Aapo Hyvarinen

By using the underlying theory of proper scoring rules, we design a family of noise-contrastive estimation (NCE) methods that are tractable for latent variable models. Both terms in the underlying NCE loss, the one using data samples and…

机器学习 · 计算机科学 2023-04-06 Christopher Zach

Learning a parametric model of a data distribution is a well-known statistical problem that has seen renewed interest as it is brought to scale in deep learning. Framing the problem as a self-supervised task, where data samples are…

机器学习 · 统计学 2022-07-27 Omar Chehab , Alexandre Gramfort , Aapo Hyvarinen

Training energy-based models (EBMs) with noise-contrastive estimation (NCE) is theoretically feasible but practically challenging. Effective learning requires the noise distribution to be approximately similar to the target distribution,…

机器学习 · 计算机科学 2022-11-07 Nathaniel Xu

Noise Contrastive Estimation (NCE) is a popular approach for learning probability density functions parameterized up to a constant of proportionality. The main idea is to design a classification problem for distinguishing training data from…

机器学习 · 计算机科学 2023-03-03 Holden Lee , Chirag Pabbaraju , Anish Sevekari , Andrej Risteski
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