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We propose an efficient inference method for switching nonlinear dynamical systems. The key idea is to learn an inference network which can be used as a proposal distribution for the continuous latent variables, while performing exact…

机器学习 · 计算机科学 2020-02-12 Zhe Dong , Bryan A. Seybold , Kevin P. Murphy , Hung H. Bui

We introduce a novel nonlinear Kalman filter that utilizes reparametrization gradients. The widely used parametric approximation is based on a jointly Gaussian assumption of the state-space model, which is in turn equivalent to minimizing…

机器学习 · 计算机科学 2023-03-09 San Gultekin , Brendan Kitts , Aaron Flores , John Paisley

It is often of interest to assess whether a function-valued statistical parameter, such as a density function or a mean regression function, is equal to any function in a class of candidate null parameters. This can be framed as a…

统计方法学 · 统计学 2023-06-14 Aaron Hudson

Feature attribution methods, or saliency maps, are one of the most popular approaches for explaining the decisions of complex machine learning models such as deep neural networks. In this study, we propose a stochastic optimization approach…

机器学习 · 统计学 2018-07-17 Kouichi Ikeno , Satoshi Hara

Stochastic variational Bayes algorithms have become very popular in the machine learning literature, particularly in the context of nonparametric Bayesian inference. These algorithms replace the true but intractable posterior distribution…

统计方法学 · 统计学 2024-10-04 Pedro Regueiro , Abel Rodríguez , Juan Sosa

Probabilistic programming has emerged as a powerful paradigm in statistics, applied science, and machine learning: by decoupling modelling from inference, it promises to allow modellers to directly reason about the processes generating…

机器学习 · 统计学 2019-06-10 Maria I. Gorinova , Dave Moore , Matthew D. Hoffman

Stochastic variational inference algorithms are derived for fitting various heteroskedastic time series models. We examine Gaussian, t, and skew-t response GARCH models and fit these using Gaussian variational approximating densities. We…

统计计算 · 统计学 2023-08-30 Hanwen Xuan , Luca Maestrini , Feng Chen , Clara Grazian

Block-coordinate algorithms are recognized to furnish efficient iterative schemes for addressing large-scale problems, especially when the computation of full derivatives entails substantial memory requirements and computational efforts. In…

最优化与控制 · 数学 2025-04-16 Pedro Pérez-Aros , David Torregrosa-Belén

Latent variable models have been playing a central role in psychometrics and related fields. In many modern applications, the inference based on latent variable models involves one or several of the following features: (1) the presence of…

统计方法学 · 统计学 2025-01-08 Siliang Zhang , Yunxiao Chen

Motivated by a wide variety of applications, ranging from stochastic optimization to dimension reduction through variable selection, the problem of estimating gradients accurately is of crucial importance in statistics and learning theory.…

机器学习 · 计算机科学 2020-06-29 Guillaume Ausset , Stephan Clémençon , François Portier

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…

机器学习 · 统计学 2015-03-06 Michalis K. Titsias

We present a new algorithm for approximate inference in probabilistic programs, based on a stochastic gradient for variational programs. This method is efficient without restrictions on the probabilistic program; it is particularly…

机器学习 · 统计学 2013-01-08 David Wingate , Theophane Weber

The reparameterization trick has become one of the most useful tools in the field of variational inference. However, the reparameterization trick is based on the standardization transformation which restricts the scope of application of…

机器学习 · 计算机科学 2020-02-26 Anbang Wu , Shuangxi Chen , Chunming Wu

ReParameterization (RP) Policy Gradient Methods (PGMs) have been widely adopted for continuous control tasks in robotics and computer graphics. However, recent studies have revealed that, when applied to long-term reinforcement learning…

机器学习 · 计算机科学 2023-11-01 Shenao Zhang , Boyi Liu , Zhaoran Wang , Tuo Zhao

Deep latent variable models have become a popular model choice due to the scalable learning algorithms introduced by (Kingma & Welling, 2013; Rezende et al., 2014). These approaches maximize a variational lower bound on the intractable log…

机器学习 · 计算机科学 2018-11-20 George Tucker , Dieterich Lawson , Shixiang Gu , Chris J. Maddison

We develop new stochastic gradient methods for efficiently solving sparse linear regression in a partial attribute observation setting, where learners are only allowed to observe a fixed number of actively chosen attributes per example at…

最优化与控制 · 数学 2018-12-04 Tomoya Murata , Taiji Suzuki

In this paper, we present a novel derivative-free optimization framework for solving unconstrained stochastic optimization problems. Many problems in fields ranging from simulation optimization to reinforcement learning involve settings…

最优化与控制 · 数学 2024-04-19 Raghu Bollapragada , Cem Karamanli , Stefan M. Wild

We consider the problem of inferring latent stochastic differential equations (SDEs) with a time and memory cost that scales independently with the amount of data, the total length of the time series, and the stiffness of the approximate…

机器学习 · 计算机科学 2023-12-19 Kevin Course , Prasanth B. Nair

A number of optimization approaches have been proposed for optimizing nonconvex objectives (e.g. deep learning models), such as batch gradient descent, stochastic gradient descent and stochastic variance reduced gradient descent. Theory…

机器学习 · 计算机科学 2019-05-15 Jia Bi , Steve R. Gunn

Instrumental variables (IVs) provide a powerful strategy for identifying causal effects in the presence of unobservable confounders. Within the nonparametric setting (NPIV), recent methods have been based on nonlinear generalizations of…

机器学习 · 统计学 2024-12-24 Yuri Fonseca , Caio Peixoto , Yuri Saporito