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A generalized matrix-pencil approach is proposed for the estimation of complex exponential components with segmented signal samples, which is very efficient and provides super-resolution estimations. It is applicable to the signals sampled…

信号处理 · 电气工程与系统科学 2022-10-28 Jianping Wang , Alexander Yarovoy

The aim of this paper is to propose diffusion strategies for distributed estimation over adaptive networks, assuming the presence of spatially correlated measurements distributed according to a Gaussian Markov random field (GMRF) model. The…

系统与控制 · 计算机科学 2015-06-22 Paolo Di Lorenzo

We propose a simple method that combines neural networks and Gaussian processes. The proposed method can estimate the uncertainty of outputs and flexibly adjust target functions where training data exist, which are advantages of Gaussian…

机器学习 · 统计学 2017-07-20 Tomoharu Iwata , Zoubin Ghahramani

Dynamic structural equation modeling (DSEM) is widely used for analyzing intensive longitudinal data (ILD). Although many ILD have categorical (Bernoulli or binomially distributed) responses, currently available Metropolis-within-Gibbs…

统计计算 · 统计学 2026-04-01 Øystein Sørensen , Ethan M. McCormick

Stochastic gradient descent (SGD), which dates back to the 1950s, is one of the most popular and effective approaches for performing stochastic optimization. Research on SGD resurged recently in machine learning for optimizing convex loss…

机器学习 · 计算机科学 2019-12-24 Jie Chen , Ronny Luss

We develop a scalable deep non-parametric generative model by augmenting deep Gaussian processes with a recognition model. Inference is performed in a novel scalable variational framework where the variational posterior distributions are…

机器学习 · 计算机科学 2016-03-02 Zhenwen Dai , Andreas Damianou , Javier González , Neil Lawrence

Usual estimation methods for the parameters of extreme values distribution employ only a few values, wasting a lot of information. More precisely, in the case of the Gumbel distribution, only the block maxima values are used. In this work,…

数据分析、统计与概率 · 物理学 2019-02-22 Rubén Gómez González , M. Isabel Parra , Francisco Javier Acero , Jacinto Martín

We propose a general and scalable approximate sampling strategy for probabilistic models with discrete variables. Our approach uses gradients of the likelihood function with respect to its discrete inputs to propose updates in a…

机器学习 · 计算机科学 2021-06-08 Will Grathwohl , Kevin Swersky , Milad Hashemi , David Duvenaud , Chris J. Maddison

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

We present a latent variable model for classification that provides a novel probabilistic interpretation of neural network softmax classifiers. We derive a variational objective to train the model, analogous to the evidence lower bound…

机器学习 · 计算机科学 2024-01-10 Shehzaad Dhuliawala , Mrinmaya Sachan , Carl Allen

The Gumbel model is a very popular statistical model due to its wide applicability for instance in the course of certain survival, environmental, financial or reliability studies. In this work, we have introduced a bimodal generalization of…

统计方法学 · 统计学 2021-06-22 Cira E. G. Otiniano , Roberto Vila , Pedro C. Brom , Marcelo Bourguignon

Gradient Symbolic Computation is proposed as a means of solving discrete global optimization problems using a neurally plausible continuous stochastic dynamical system. Gradient symbolic dynamics involves two free parameters that must be…

计算与语言 · 计算机科学 2018-01-12 Paul Tupper , Paul Smolensky , Pyeong Whan Cho

In this paper, we first propose a Bayesian neighborhood selection method to estimate Gaussian Graphical Models (GGMs). We show the graph selection consistency of this method in the sense that the posterior probability of the true model…

应用统计 · 统计学 2015-07-08 Zhixiang Lin , Tao Wang , Can Yang , Hongyu Zhao

We propose a novel distributed inference algorithm for continuous graphical models, by extending Stein variational gradient descent (SVGD) to leverage the Markov dependency structure of the distribution of interest. Our approach combines…

机器学习 · 统计学 2018-06-11 Dilin Wang , Zhe Zeng , Qiang Liu

We wish to compute the gradient of an expectation over a finite or countably infinite sample space having $K \leq \infty$ categories. When $K$ is indeed infinite, or finite but very large, the relevant summation is intractable. Accordingly,…

机器学习 · 统计学 2019-05-14 Runjing Liu , Jeffrey Regier , Nilesh Tripuraneni , Michael I. Jordan , Jon McAuliffe

This paper tackles the challenge of parameter calibration in stochastic models, particularly in scenarios where the likelihood function is unavailable in an analytical form. We introduce a gradient-based simulated parameter estimation…

机器学习 · 统计学 2025-03-25 Zehao Li , Yijie Peng

Segmented models are widely used to describe non-stationary sequential data with discrete change points. Their estimation usually requires solving a mixed discrete-continuous optimization problem, where the segmentation is the discrete part…

机器学习 · 计算机科学 2021-01-19 Erik Scharwächter , Jonathan Lennartz , Emmanuel Müller

Moment-based estimation is a theoretically attractive approach to parametric inference, especially when likelihood-based estimation is unavailable, misspecified, or computationally inconvenient. However, the moment equations involve sample…

统计理论 · 数学 2026-05-28 Liu Zhang , Amit Singer

We introduce GAMSEL (Generalized Additive Model Selection), a penalized likelihood approach for fitting sparse generalized additive models in high dimension. Our method interpolates between null, linear and additive models by allowing the…

机器学习 · 统计学 2015-06-18 Alexandra Chouldechova , Trevor Hastie

Gradient estimation is often necessary for fitting generative models with discrete latent variables, in contexts such as reinforcement learning and variational autoencoder (VAE) training. The DisARM estimator (Yin et al. 2020; Dong, Mnih,…

机器学习 · 计算机科学 2022-08-15 Russell Z. Kunes , Mingzhang Yin , Max Land , Doron Haviv , Dana Pe'er , Simon Tavaré