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Density estimation plays a crucial role in many data analysis tasks, as it infers a continuous probability density function (PDF) from discrete samples. Thus, it is used in tasks as diverse as analyzing population data, spatial locations in…

Machine Learning · Computer Science 2021-07-26 Patrik Puchert , Pedro Hermosilla , Tobias Ritschel , Timo Ropinski

Utilizing covariate information has been a powerful approach to improve the efficiency and accuracy for causal inference, which support massive amount of randomized experiments run on data-driven enterprises. However, state-of-art…

Methodology · Statistics 2023-11-06 Yuhang Wu , Jinghai He , Zeyu Zheng

To better understand the spatial structure of large panels of economic and financial time series and provide a guideline for constructing semiparametric models, this paper first considers estimating a large spatial covariance matrix of the…

Machine Learning · Statistics 2015-03-19 Song Song

This work introduces a new class of four-dimensional variational data assimilation (4D-Var) methods grounded in data-consistent inversion (DCI) theory. The methods extend classical 4D-Var by incorporating a predictability-aware…

Numerical Analysis · Mathematics 2025-11-04 Rylan Spence , Troy Butler , Clint Dawson

This paper develops a new statistical inference theory for the precision matrix of high-frequency data in a high-dimensional setting. The focus is not only on point estimation but also on interval estimation and hypothesis testing for…

Statistics Theory · Mathematics 2020-05-20 Yuta Koike

Weighted average derivative effects (WADEs) are nonparametric estimands with uses in economics and causal inference. Debiased WADE estimators typically require learning the conditional mean outcome as well as a Riesz representer (RR) that…

Methodology · Statistics 2024-04-10 Oliver Hines , Karla Diaz-Ordaz , Stijn Vansteelandt

Autoencoders have been successful in learning meaningful representations from image datasets. However, their performance on text datasets has not been widely studied. Traditional autoencoders tend to learn possibly trivial representations…

Machine Learning · Statistics 2017-06-06 Yu Chen , Mohammed J. Zaki

This paper presents Robust samplE-based coVarIance StEering (REVISE), a multi-query algorithm that generates robust belief roadmaps for dynamic systems navigating through spatially dependent disturbances modeled as a Gaussian random field.…

Robotics · Computer Science 2024-11-21 Alex Rose , Naman Aggarwal , Christopher Jewison , Jonathan P. How

Active learning enables the efficient construction of a labeled dataset by labeling informative samples from an unlabeled dataset. In a real-world active learning scenario, considering the diversity of the selected samples is crucial…

Machine Learning · Computer Science 2022-07-15 Yeachan Kim , Bonggun Shin

Estimating covariance matrices with high-dimensional complex data presents significant challenges, particularly concerning positive definiteness, sparsity, and numerical stability. Existing robust sparse estimators often fail to guarantee…

Methodology · Statistics 2025-12-30 Shaoxin Wang , Ziyun Ma

As an important problem in causal inference, we discuss the estimation of treatment effects (TEs). Representing the confounder as a latent variable, we propose Intact-VAE, a new variant of variational autoencoder (VAE), motivated by the…

Machine Learning · Statistics 2022-04-22 Pengzhou Wu , Kenji Fukumizu

This paper introduces Fast Calibrated Explanations, a method designed for generating rapid, uncertainty-aware explanations for machine learning models. By incorporating perturbation techniques from ConformaSight - a global explanation…

Machine Learning · Computer Science 2024-10-29 Tuwe Löfström , Fatima Rabia Yapicioglu , Alessandra Stramiglio , Helena Löfström , Fabio Vitali

We discuss a class of difference-based estimators for the autocovariance in nonparametric regression when the signal is discontinuous (change-point regression), possibly highly fluctuating, and the errors form a stationary $m$-dependent…

Methodology · Statistics 2016-08-09 Inder Tecuapetla-Gómez , Axel Munk

Despite significant work on low-bit quantization-aware training (QAT), there is still an accuracy gap between such techniques and native training. To address this, we introduce CAGE (Curvature-Aware Gradient Estimation), a new QAT method…

Machine Learning · Computer Science 2025-11-11 Soroush Tabesh , Mher Safaryan , Andrei Panferov , Alexandra Volkova , Dan Alistarh

The paper proposes a new covariance estimator for large covariance matrices when the variables have a natural ordering. Using the Cholesky decomposition of the inverse, we impose a banded structure on the Cholesky factor, and select the…

Applications · Statistics 2008-12-18 Elizaveta Levina , Adam Rothman , Ji Zhu

This paper introduces the Descriptive Variational Autoencoder (DVAE), an unsupervised and end-to-end trainable neural network for predicting vehicle trajectories that provides partial interpretability. The novel approach is based on the…

Machine Learning · Computer Science 2021-06-25 Marion Neumeier , Andreas Tollkühn , Thomas Berberich , Michael Botsch

Interpretability is a pressing issue for decision systems. Many post hoc methods have been proposed to explain the predictions of a single machine learning model. However, business processes and decision systems are rarely centered around a…

Machine Learning · Computer Science 2023-03-22 Gianluigi Lopardo , Damien Garreau , Frederic Precioso , Greger Ottosson

Incorporating unstructured data into physical models is a challenging problem that is emerging in data assimilation. Traditional approaches focus on well-defined observation operators whose functional forms are typically assumed to be…

Machine Learning · Statistics 2024-07-25 Alex Glyn-Davies , Connor Duffin , Ö. Deniz Akyildiz , Mark Girolami

We propose a new efficient way to sample from a Variational Autoencoder in the challenging low sample size setting. This method reveals particularly well suited to perform data augmentation in such a low data regime and is validated across…

Machine Learning · Statistics 2021-09-29 Clément Chadebec , Stéphanie Allassonnière

We consider the classical problem of estimating the covariance matrix of a subgaussian distribution from i.i.d. samples in the novel context of coarse quantization, i.e., instead of having full knowledge of the samples, they are quantized…

Information Theory · Computer Science 2022-04-25 Sjoerd Dirksen , Johannes Maly , Holger Rauhut