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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)…

Machine Learning · Statistics 2024-02-27 Amanda Olmin , Jakob Lindqvist , Lennart Svensson , Fredrik Lindsten

Estimating the parameters of probabilistic models of language such as maxent models and probabilistic neural models is computationally difficult since it involves evaluating partition functions by summing over an entire vocabulary, which…

Machine Learning · Computer Science 2014-10-31 Chris Dyer

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…

Machine Learning · Statistics 2018-06-12 Ciwan Ceylan , Michael U. Gutmann

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,…

Machine Learning · Computer Science 2021-10-22 Bingbin Liu , Elan Rosenfeld , Pradeep Ravikumar , Andrej Risteski

Neural language models do not scale well when the vocabulary is large. Noise-contrastive estimation (NCE) is a sampling-based method that allows for fast learning with large vocabularies. Although NCE has shown promising performance in…

Computation and Language · Computer Science 2017-09-25 Farhana Ferdousi Liza , Marek Grzes

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…

Sound · Computer Science 2025-05-21 Wanli Sun , Anton Ragni

There are many models, often called unnormalized models, whose normalizing constants are not calculated in closed form. Maximum likelihood estimation is not directly applicable to unnormalized models. Score matching, contrastive divergence…

Machine Learning · Statistics 2018-08-27 Masatoshi Uehara , Takeru Matsuda , Fumiyasu Komaki

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…

Machine Learning · Computer Science 2023-06-14 Wei Jiang , Jiayu Qin , Lingyu Wu , Changyou Chen , Tianbao Yang , Lijun Zhang

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…

Machine Learning · Computer Science 2023-04-06 Christopher Zach

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…

Machine Learning · Computer Science 2020-10-06 Mike Wu , Milan Mosse , Chengxu Zhuang , Daniel Yamins , Noah Goodman

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…

Machine Learning · Statistics 2019-02-26 Benjamin Rhodes , Michael Gutmann

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…

Machine Learning · Computer Science 2023-03-03 Holden Lee , Chirag Pabbaraju , Anish Sevekari , Andrej Risteski

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…

Contrastive representation learning has proven to be an effective self-supervised learning method. Most successful approaches are based on Noise Contrastive Estimation (NCE) and use different views of an instance as positives that should be…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Julien Denize , Jaonary Rabarisoa , Astrid Orcesi , Romain Hérault , Stéphane Canu

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,…

Machine Learning · Computer Science 2022-11-07 Nathaniel Xu

Inferring the probability distribution of sentences or word sequences is a key process in natural language processing. While word-level language models (LMs) have been widely adopted for computing the joint probabilities of word sequences,…

Computation and Language · Computer Science 2021-03-16 Heewoong Park , Sukhyun Cho , Jonghun Park

Modelling statistical relationships beyond the conditional mean is crucial in many settings. Conditional density estimation (CDE) aims to learn the full conditional probability density from data. Though highly expressive, neural network…

Machine Learning · Statistics 2020-02-17 Jonas Rothfuss , Fabio Ferreira , Simon Boehm , Simon Walther , Maxim Ulrich , Tamim Asfour , Andreas Krause

Contrastive representation learning has proven to be an effective self-supervised learning method for images and videos. Most successful approaches are based on Noise Contrastive Estimation (NCE) and use different views of an instance as…

Computer Vision and Pattern Recognition · Computer Science 2023-09-27 Julien Denize , Jaonary Rabarisoa , Astrid Orcesi , Romain Hérault

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…

Machine Learning · Statistics 2023-01-25 Omar Chehab , Alexandre Gramfort , Aapo Hyvarinen

Learning by contrasting positive and negative samples is a general strategy adopted by many methods. Noise contrastive estimation (NCE) for word embeddings and translating embeddings for knowledge graphs are examples in NLP employing this…

Computation and Language · Computer Science 2018-08-06 Avishek Joey Bose , Huan Ling , Yanshuai Cao
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