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This paper studies the case of possibly high-dimensional covariates in the regression discontinuity design (RDD) analysis. In particular, we propose estimation and inference methods for the RDD models with covariate selection which perform…

计量经济学 · 经济学 2026-01-21 Yoichi Arai , Taisuke Otsu , Myung Hwan Seo

Crucial for building trust in deep learning models for critical real-world applications is efficient and theoretically sound uncertainty quantification, a task that continues to be challenging. Useful uncertainty information is expected to…

机器学习 · 计算机科学 2021-10-28 Zhen Lin , Shubhendu Trivedi , Jimeng Sun

Fast convergence speed is a desired property for training latent Dirichlet allocation (LDA), especially in online and parallel topic modeling for massive data sets. This paper presents a novel residual belief propagation (RBP) algorithm to…

机器学习 · 计算机科学 2013-06-14 Jia Zeng , Xiao-Qin Cao , Zhi-Qiang Liu

Stochastic gradient descent (SGD) is commonly used for optimization in large-scale machine learning problems. Langford et al. (2009) introduce a sparse online learning method to induce sparsity via truncated gradient. With high-dimensional…

机器学习 · 统计学 2017-05-10 Yuting Ma , Tian Zheng

We study online inference and asymptotic covariance estimation for the stochastic gradient descent (SGD) algorithm. While classical methods (such as plug-in and batch-means estimators) are available, they either require inaccessible…

机器学习 · 统计学 2026-04-24 Ziyang Wei , Wanrong Zhu , Jingyang Lyu , Wei Biao Wu

This paper presents a data-driven interpretable machine learning algorithm for semi-static hedging of Exchange Traded options, considering transaction costs with efficient run-time. Further, we provide empirical evidence on the performance…

计算金融 · 定量金融 2024-01-03 Vikranth Lokeshwar Dhandapani , Shashi Jain

Deep discrete structured models have seen considerable progress recently, but traditional inference using dynamic programming (DP) typically works with a small number of states (less than hundreds), which severely limits model capacity. At…

机器学习 · 计算机科学 2022-07-26 Yao Fu , John P. Cunningham , Mirella Lapata

There is much interest in the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) as a natural Bayesian nonparametric extension of the traditional HMM. However, in many settings the HDP-HMM's strict Markovian constraints are…

机器学习 · 计算机科学 2012-03-19 Matthew J. Johnson , Alan Willsky

There is much interest in the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) as a natural Bayesian nonparametric extension of the ubiquitous Hidden Markov Model for learning from sequential and time-series data. However, in…

统计方法学 · 统计学 2012-09-11 Matthew J. Johnson , Alan S. Willsky

Sparse deep learning aims to address the challenge of huge storage consumption by deep neural networks, and to recover the sparse structure of target functions. Although tremendous empirical successes have been achieved, most sparse deep…

机器学习 · 统计学 2020-11-17 Jincheng Bai , Qifan Song , Guang Cheng

Deep Gaussian Processes (DGPs) are hierarchical generalizations of Gaussian Processes that combine well calibrated uncertainty estimates with the high flexibility of multilayer models. One of the biggest challenges with these models is that…

We present a Bayesian non-parametric way of inferring stochastic differential equations for both regression tasks and continuous-time dynamical modelling. The work has high emphasis on the stochastic part of the differential equation, also…

机器学习 · 统计学 2020-06-29 Martin Jørgensen , Marc Peter Deisenroth , Hugh Salimbeni

In this paper, we present hierarchical relationbased latent Dirichlet allocation (hrLDA), a data-driven hierarchical topic model for extracting terminological ontologies from a large number of heterogeneous documents. In contrast to…

计算与语言 · 计算机科学 2020-01-10 Xiaofeng Zhu , Diego Klabjan , Patrick Bless

We study a new parametric approach for particular hidden stochastic models such as the Stochastic Volatility model. This method is based on contrast minimization and deconvolution. After proving consistency and asymptotic normality of the…

应用统计 · 统计学 2013-03-15 Salima El Kolei

We develop a new method of online inference for a vector of parameters estimated by the Polyak-Ruppert averaging procedure of stochastic gradient descent (SGD) algorithms. We leverage insights from time series regression in econometrics and…

机器学习 · 统计学 2022-08-09 Sokbae Lee , Yuan Liao , Myung Hwan Seo , Youngki Shin

Modelers use automatic differentiation (AD) of computation graphs to implement complex Deep Learning models without defining gradient computations. Stochastic AD extends AD to stochastic computation graphs with sampling steps, which arise…

机器学习 · 统计学 2021-10-27 Emile van Krieken , Jakub M. Tomczak , Annette ten Teije

The beta distribution serves as a canonical tool for modeling probabilities in statistics and machine learning. However, there is limited work on flexible and computationally convenient stochastic process extensions for modeling dependent…

统计方法学 · 统计学 2025-03-18 Changwoo J. Lee , Alessandro Zito , Huiyan Sang , David B. Dunson

Latent traversal is a popular approach to visualize the disentangled latent representations. Given a bunch of variations in a single unit of the latent representation, it is expected that there is a change in a single factor of variation of…

计算机视觉与模式识别 · 计算机科学 2020-07-28 Xinqi Zhu , Chang Xu , Dacheng Tao

This work aims at making a comprehensive contribution in the general area of parametric inference for discretely observed diffusion processes. Established approaches for likelihood-based estimation invoke a time-discretisation scheme for…

统计方法学 · 统计学 2024-01-30 Yuga Iguchi , Alexandros Beskos , Matthew M. Graham

The Linearized Laplace Approximation (LLA) has been recently used to perform uncertainty estimation on the predictions of pre-trained deep neural networks (DNNs). However, its widespread application is hindered by significant computational…

机器学习 · 统计学 2024-05-24 Luis A. Ortega , Simón Rodríguez Santana , Daniel Hernández-Lobato