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Stochastic Gumbel graph networks are proposed to learn high-dimensional time series, where the observed dimensions are often spatially correlated. To that end, the observed randomness and spatial-correlations are captured by learning the…

Machine Learning · Computer Science 2023-07-13 Jin Guo , Ting Gao , Yufu Lan , Peng Zhang , Sikun Yang , Jinqiao Duan

The ability to backpropagate stochastic gradients through continuous latent distributions has been crucial to the emergence of variational autoencoders and stochastic gradient variational Bayes. The key ingredient is an unbiased and…

Neural and Evolutionary Computing · Computer Science 2016-07-20 Alex Graves

The Gumbel-softmax distribution, or Concrete distribution, is often used to relax the discrete characteristics of a categorical distribution and enable back-propagation through differentiable reparameterization. Although it reliably yields…

Audio and Speech Processing · Electrical Eng. & Systems 2022-05-10 Sangshin Oh , Seyun Um , Hong-Goo Kang

Optimization with noisy gradients has become ubiquitous in statistics and machine learning. Reparameterization gradients, or gradient estimates computed via the "reparameterization trick," represent a class of noisy gradients often used in…

Machine Learning · Statistics 2017-05-23 Andrew C. Miller , Nicholas J. Foti , Alexander D'Amour , Ryan P. Adams

Boltzmann machines (BMs) are appealing candidates for powerful priors in variational autoencoders (VAEs), as they are capable of capturing nontrivial and multi-modal distributions over discrete variables. However, non-differentiability of…

Machine Learning · Computer Science 2019-03-04 Amir H. Khoshaman , Mohammad H. Amin

The gradient discretisation method (GDM) is a generic framework designed recently, as a discretise in spatial space, to partial differential equations. This paper aims to use the GDM to establish a first general error estimate for numerical…

Numerical Analysis · Mathematics 2020-09-22 Yahya Alnashri

We deal with the problem of gradient estimation for stochastic differentiable relaxations of algorithms, operators, simulators, and other non-differentiable functions. Stochastic smoothing conventionally perturbs the input of a…

Machine Learning · Computer Science 2024-10-11 Felix Petersen , Christian Borgelt , Aashwin Mishra , Stefano Ermon

Recognizing the importance of jump risk in option pricing, we propose a neural jump stochastic differential equation model in this paper, which integrates neural networks as parameter estimators in the conventional jump diffusion model. To…

General Finance · Quantitative Finance 2025-06-06 Duosi Zheng , Hanzhong Guo , Yanchu Liu , Wei Huang

As a structured prediction task, scene graph generation, given an input image, aims to explicitly model objects and their relationships by constructing a visually-grounded scene graph. In the current literature, such task is universally…

Computer Vision and Pattern Recognition · Computer Science 2022-06-24 Daqi Liu , Miroslaw Bober , Josef Kittler

Stochastic neurons and hard non-linearities can be useful for a number of reasons in deep learning models, but in many cases they pose a challenging problem: how to estimate the gradient of a loss function with respect to the input of such…

Machine Learning · Computer Science 2013-08-16 Yoshua Bengio , Nicholas Léonard , Aaron Courville

The generalized negative binomial distribution (GNB) is a new flexible family of discrete distributions that are mixed Poisson laws with the mixing generalized gamma (GG) distributions. This family of discrete distributions is very wide and…

Methodology · Statistics 2018-09-18 Andrey K. Gorshenin , Victor Yu. Korolev

Gradient-based approximate inference methods, such as Stein variational gradient descent (SVGD), provide simple and general-purpose inference engines for differentiable continuous distributions. However, existing forms of SVGD cannot be…

Machine Learning · Computer Science 2020-03-03 Jun Han , Fan Ding , Xianglong Liu , Lorenzo Torresani , Jian Peng , Qiang Liu

Reinforcement learning methods for robotics are increasingly successful due to the constant development of better policy gradient techniques. A precise (low variance) and accurate (low bias) gradient estimator is crucial to face…

Machine Learning · Computer Science 2021-07-21 João Carvalho , Davide Tateo , Fabio Muratore , Jan Peters

We introduce local expectation gradients which is a general purpose stochastic variational inference algorithm for constructing stochastic gradients through sampling from the variational distribution. This algorithm divides the problem of…

Machine Learning · Statistics 2015-03-06 Michalis K. Titsias

Stochastic kinetic models are ubiquitous in physics, yet inferring their parameters from experimental data remains challenging. In deterministic models, parameter inference often relies on gradients, as they can be obtained efficiently…

Computational Physics · Physics 2026-04-03 Ludwig Burger , Annalena Kofler , Lukas Heinrich , Ulrich Gerland

Large and performant neural networks are often overparameterized and can be drastically reduced in size and complexity thanks to pruning. Pruning is a group of methods, which seeks to remove redundant or unnecessary weights or groups of…

Computer Vision and Pattern Recognition · Computer Science 2023-02-15 Robin Dupont , Mohammed Amine Alaoui , Hichem Sahbi , Alice Lebois

We investigate a local reparameterizaton technique for greatly reducing the variance of stochastic gradients for variational Bayesian inference (SGVB) of a posterior over model parameters, while retaining parallelizability. This local…

Machine Learning · Statistics 2015-12-22 Diederik P. Kingma , Tim Salimans , Max Welling

Diverse human motion prediction aims at predicting multiple possible future pose sequences from a sequence of observed poses. Previous approaches usually employ deep generative networks to model the conditional distribution of data, and…

Computer Vision and Pattern Recognition · Computer Science 2022-07-18 Lingwei Dang , Yongwei Nie , Chengjiang Long , Qing Zhang , Guiqing Li

Reparameterizable densities are an important way to learn probability distributions in a deep learning setting. For many distributions it is possible to create low-variance gradient estimators by utilizing a `reparameterization trick'. Due…

Machine Learning · Statistics 2019-03-13 Luca Falorsi , Pim de Haan , Tim R. Davidson , Patrick Forré

It is well-known that the reparameterisation gradient estimator, which exhibits low variance in practice, is biased for non-differentiable models. This may compromise correctness of gradient-based optimisation methods such as stochastic…

Machine Learning · Computer Science 2024-02-21 Dominik Wagner , Basim Khajwal , C. -H. Luke Ong