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Accurately backpropagating the gradient through categorical variables is a challenging task that arises in various domains, such as training discrete latent variable models. To this end, we propose CARMS, an unbiased estimator for…

Machine Learning · Computer Science 2021-10-28 Alek Dimitriev , Mingyuan Zhou

Training models with discrete latent variables is challenging due to the difficulty of estimating the gradients accurately. Much of the recent progress has been achieved by taking advantage of continuous relaxations of the system, which are…

Machine Learning · Computer Science 2020-12-07 Zhe Dong , Andriy Mnih , George Tucker

To backpropagate the gradients through stochastic binary layers, we propose the augment-REINFORCE-merge (ARM) estimator that is unbiased, exhibits low variance, and has low computational complexity. Exploiting variable augmentation,…

Machine Learning · Statistics 2019-09-11 Mingzhang Yin , Mingyuan Zhou

To address the challenge of backpropagating the gradient through categorical variables, we propose the augment-REINFORCE-swap-merge (ARSM) gradient estimator that is unbiased and has low variance. ARSM first uses variable augmentation,…

Machine Learning · Statistics 2019-12-24 Mingzhang Yin , Yuguang Yue , Mingyuan Zhou

Due to the high variance of policy gradients, on-policy optimization algorithms are plagued with low sample efficiency. In this work, we propose Augment-Reinforce-Merge (ARM) policy gradient estimator as an unbiased low-variance alternative…

Machine Learning · Computer Science 2019-03-14 Yunhao Tang , Mingzhang Yin , Mingyuan Zhou

Coarsely-labeled semantic segmentation annotations are easy to obtain, but therefore bear the risk of losing edge details and introducing background pixels. Impeded by the inherent noise, existing coarse annotations are only taken as a…

Computer Vision and Pattern Recognition · Computer Science 2021-07-27 Jingchao Liu , Ye Du , Zehua Fu , Qingjie Liu , Yunhong Wang

The estimation of normalizing constants is a fundamental step in probabilistic model comparison. Sequential Monte Carlo methods may be used for this task and have the advantage of being inherently parallelizable. However, the standard…

Machine Learning · Statistics 2016-08-16 Marco Fraccaro , Ulrich Paquet , Ole Winther

Autoregressive models (ARMs) currently hold state-of-the-art performance in likelihood-based modeling of image and audio data. Generally, neural network based ARMs are designed to allow fast inference, but sampling from these models is…

Machine Learning · Computer Science 2020-07-09 Auke Wiggers , Emiel Hoogeboom

Among Monte Carlo techniques, the importance sampling requires fine tuning of a proposal distribution, which is now fluently resolved through iterative schemes. The Adaptive Multiple Importance Sampling (AMIS) of Cornuet et al. (2012)…

Computation · Statistics 2014-05-27 Jean-Michel Marin , Pierre Pudlo , Mohammed Sedki

An algorithm for sampling from non-log-concave multivariate distributions is proposed, which improves the adaptive rejection Metropolis sampling (ARMS) algorithm by incorporating the hit and run sampling. It is not rare that the ARMS is…

Computation · Statistics 2015-03-10 Huaiye Zhang , Yuefeng Wu , Lulu Cheng , Inyoung Kim

When dealing with difficult inverse problems such as inverse rendering, using Monte Carlo estimated gradients to optimise parameters can slow down convergence due to variance. Averaging many gradient samples in each iteration reduces this…

Graphics · Computer Science 2023-09-28 Martin Balint , Karol Myszkowski , Hans-Peter Seidel , Gurprit Singh

Stochastic gradient-based optimisation for discrete latent variable models is challenging due to the high variance of gradients. We introduce a variance reduction technique for score function estimators that makes use of double control…

Machine Learning · Statistics 2022-06-07 Michalis K. Titsias , Jiaxin Shi

The Adaptive Multiple Importance Sampling (AMIS) algorithm is aimed at an optimal recycling of past simulations in an iterated importance sampling scheme. The difference with earlier adaptive importance sampling implementations like…

Computation · Statistics 2011-10-04 Jean-Marie Cornuet , Jean-Michel Marin , Antonietta Mira , Christian P. Robert

Importance sampling (IS) is a powerful Monte Carlo methodology for the approximation of intractable integrals, very often involving a target probability density function. The performance of IS heavily depends on the appropriate selection of…

Computation · Statistics 2023-06-22 Víctor Elvira , Emilie Chouzenoux , Ömer Deniz Akyildiz , Luca Martino

We propose Learned Accept/Reject Sampling (LARS), a method for constructing richer priors using rejection sampling with a learned acceptance function. This work is motivated by recent analyses of the VAE objective, which pointed out that…

Machine Learning · Statistics 2019-04-29 Matthias Bauer , Andriy Mnih

In the modern age, rankings data is ubiquitous and it is useful for a variety of applications such as recommender systems, multi-object tracking and preference learning. However, most rankings data encountered in the real world is…

Machine Learning · Statistics 2018-07-27 Maria Lomeli , Mark Rowland , Arthur Gretton , Zoubin Ghahramani

The strength of multimodal learning lies in its ability to integrate information from various sources, providing rich and comprehensive insights. However, in real-world scenarios, multi-modal systems often face the challenge of dynamic…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Xiyuan Gao , Bing Cao , Pengfei Zhu , Nannan Wang , Qinghua Hu

(Mini-batch) Stochastic Gradient Descent is a popular optimization method which has been applied to many machine learning applications. But a rather high variance introduced by the stochastic gradient in each step may slow down the…

Machine Learning · Computer Science 2018-10-09 Jingchang Liu , Linli Xu

Markov Chain Monte Carlo (MCMC) methods, such as the Metropolis-Hastings (MH) algorithm, are widely used for Bayesian inference. One of the most important issues for any MCMC method is the convergence of the Markov chain, which depends…

Computation · Statistics 2015-11-20 Luca Martino , Jesse Read , David Luengo

This work investigates the computational burden of pricing binary options in rare event regimes and introduces an adaptation of the adaptive multilevel splitting (AMS) method for financial derivatives. Standard Monte Carlo becomes…

Computational Finance · Quantitative Finance 2026-01-09 Riccardo Gozzo
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