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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

Learning in models with discrete latent variables is challenging due to high variance gradient estimators. Generally, approaches have relied on control variates to reduce the variance of the REINFORCE estimator. Recent work (Jang et al.…

Machine Learning · Computer Science 2017-11-07 George Tucker , Andriy Mnih , Chris J. Maddison , Dieterich Lawson , Jascha Sohl-Dickstein

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

Gradient estimation -- approximating the gradient of an expectation with respect to the parameters of a distribution -- is central to the solution of many machine learning problems. However, when the distribution is discrete, most common…

Machine Learning · Statistics 2024-04-16 Jiaxin Shi , Yuhao Zhou , Jessica Hwang , Michalis K. Titsias , Lester Mackey

In policy gradient reinforcement learning, access to a differentiable model enables 1st-order gradient estimation that accelerates learning compared to relying solely on derivative-free 0th-order estimators. However, discontinuous dynamics…

Machine Learning · Computer Science 2026-04-21 Ku Onoda , Paavo Parmas , Manato Yaguchi , Yutaka Matsuo

Despite advances in deep probabilistic models, learning discrete latent representations remains challenging. This work introduces a novel method to improve inference in discrete Variational Autoencoders by reframing the inference problem…

Machine Learning · Computer Science 2025-06-11 María Martínez-García , Grace Villacrés , David Mitchell , Pablo M. Olmos

U-Clip is a simple amendment to gradient clipping that can be applied to any iterative gradient optimization algorithm. Like regular clipping, U-Clip involves using gradients that are clipped to a prescribed size (e.g. with component wise…

Machine Learning · Computer Science 2023-02-07 Bryn Elesedy , Marcus Hutter

To stabilize the training of Large Language Models (LLMs), gradient clipping is a nearly ubiquitous heuristic used to alleviate exploding gradients. However, traditional global norm clipping erroneously presupposes gradient homogeneity…

Machine Learning · Computer Science 2026-01-21 Zhiyuan Li , Yuan Wu , Yi Chang

Training models with discrete latent variables is challenging due to the high variance of unbiased gradient estimators. While low-variance reparameterization gradients of a continuous relaxation can provide an effective solution, a…

Machine Learning · Computer Science 2022-11-16 Zhe Dong , Andriy Mnih , George Tucker

Previous research has shown that constraining the gradient of loss function with respect to model-predicted probabilities can enhance the model robustness against noisy labels. These methods typically specify a fixed optimal threshold for…

Machine Learning · Computer Science 2024-12-24 Xichen Ye , Yifan Wu , Weizhong Zhang , Xiaoqiang Li , Yifan Chen , Cheng Jin

Gradient clipping is a popular modification to standard (stochastic) gradient descent, at every iteration limiting the gradient norm to a certain value $c >0$. It is widely used for example for stabilizing the training of deep learning…

Machine Learning · Computer Science 2023-11-10 Anastasia Koloskova , Hadrien Hendrikx , Sebastian U. Stich

Gradient clipping is commonly used in training deep neural networks partly due to its practicability in relieving the exploding gradient problem. Recently, \citet{zhang2019gradient} show that clipped (stochastic) Gradient Descent (GD)…

Machine Learning · Computer Science 2020-10-30 Bohang Zhang , Jikai Jin , Cong Fang , Liwei Wang

Differential privacy (DP) has become an essential framework for privacy-preserving machine learning. Existing DP learning methods, however, often have disparate impacts on model predictions, e.g., for minority groups. Gradient clipping,…

Machine Learning · Computer Science 2025-06-03 Linzh Zhao , Aki Rehn , Mikko A. Heikkilä , Razane Tajeddine , Antti Honkela

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

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

Motivated by the increasing popularity and importance of large-scale training under differential privacy (DP) constraints, we study distributed gradient methods with gradient clipping, i.e., clipping applied to the gradients computed from…

Machine Learning · Computer Science 2023-05-31 Sarit Khirirat , Eduard Gorbunov , Samuel Horváth , Rustem Islamov , Fakhri Karray , Peter Richtárik

Training of discrete latent variable models remains challenging because passing gradient information through discrete units is difficult. We propose a new class of smoothing transformations based on a mixture of two overlapping…

Machine Learning · Computer Science 2018-05-29 Arash Vahdat , William G. Macready , Zhengbing Bian , Amir Khoshaman , Evgeny Andriyash

In many applications we seek to maximize an expectation with respect to a distribution over discrete variables. Estimating gradients of such objectives with respect to the distribution parameters is a challenging problem. We analyze…

Machine Learning · Statistics 2019-06-18 Evgeny Andriyash , Arash Vahdat , Bill Macready

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

Computing gradients of an expectation with respect to the distributional parameters of a discrete distribution is a problem arising in many fields of science and engineering. Typically, this problem is tackled using Reinforce, which frames…

Machine Learning · Computer Science 2023-09-11 Pau Mulet Arabi , Alec Flowers , Lukas Mauch , Fabien Cardinaux
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