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We present new results for nonparametric identification of causal effects using noisy proxies for unobserved confounders. Our approach builds on the results of \citet{Hu2008} who tackle the problem of general measurement error. We call this…

Econometrics · Economics 2023-05-05 Ben Deaner

We consider the computation of averaged coefficients for the homogenization of elliptic partial differential equations. In this problem, like in many multiscale problems, a large number of similar computations parametrized by the…

Numerical Analysis · Mathematics 2016-08-14 Sébastien Boyaval

We consider learning the possible causal direction of two observed variables in the presence of latent confounding variables. Several existing methods have been shown to consistently estimate causal direction assuming linear or some type of…

Machine Learning · Statistics 2014-05-21 Shohei Shimizu , Kenneth Bollen

We propose a new sparse regression method called the component lasso, based on a simple idea. The method uses the connected-components structure of the sample covariance matrix to split the problem into smaller ones. It then solves the…

Machine Learning · Statistics 2013-12-10 Nadine Hussami , Robert Tibshirani

The range to which the Laser Interferometer Gravitational-Wave Observatory (LIGO) can observe astrophysical systems varies over time, limited by noise in the instruments and their environments. Identifying and removing the sources of noise…

Instrumentation and Methods for Astrophysics · Physics 2018-10-25 Marissa Walker , Alfonso F. Agnew , Jeffrey Bidler , Andrew Lundgren , Alexandra Macedo , Duncan Macleod , T. J. Massinger , Oliver Patane , Joshua R. Smith

Standard Bayesian retrievals for exoplanet atmospheric parameters from transmission spectroscopy, while well understood and widely used, are generally computationally expensive. In the era of the JWST and other upcoming observatories,…

Earth and Planetary Astrophysics · Physics 2025-08-08 Roy T. Forestano , Konstantin T. Matchev , Katia Matcheva , Eyup B. Unlu

This paper investigates causal effect identification in latent variable Linear Non-Gaussian Acyclic Models (lvLiNGAM) using higher-order cumulants, addressing two prominent setups that are challenging in the presence of latent confounding:…

Machine Learning · Statistics 2025-06-09 Daniele Tramontano , Yaroslav Kivva , Saber Salehkaleybar , Mathias Drton , Negar Kiyavash

In this paper we propose new techniques to sample arbitrary third-order tensors, with an objective of speeding up tensor algorithms that have recently gained popularity in machine learning. Our main contribution is a new way to select, in a…

Machine Learning · Statistics 2015-02-23 Srinadh Bhojanapalli , Sujay Sanghavi

Precession electron diffraction has in the past few decades become a powerful technique for structure solving, strain analysis, and orientation mapping, to name a few. One of the benefits of precessing the electron beam, is increased…

Instrumentation and Detectors · Physics 2025-12-12 Gregory Nordahl , Lewys Jones , Emil Frang Christiansen , Kasper Aas Hunnestad , Magnus Nord

We propose a coherent method for the detection and reconstruction of gravitational wave signals for a network of interferometric detectors. The method is derived using the likelihood functional for unknown signal waveforms. In the standard…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Klimenko , S. Mohanty , M. Rakhmanov , G. Mitselmakher , .

We study a model where one target variable Y is correlated with a vector X:=(X_1,...,X_d) of predictor variables being potential causes of Y. We describe a method that infers to what extent the statistical dependences between X and Y are…

Machine Learning · Statistics 2017-10-11 Dominik Janzing , Bernhard Schoelkopf

This paper develops the inferential theory for latent factor models estimated from large dimensional panel data with missing observations. We propose an easy-to-use all-purpose estimator for a latent factor model by applying principal…

Econometrics · Economics 2022-01-11 Ruoxuan Xiong , Markus Pelger

Inference on the parametric part of a semiparametric model is no trivial task. If one approximates the infinite dimensional part of the semiparametric model by a parametric function, one obtains a parametric model that is in some sense…

Statistics Theory · Mathematics 2025-09-23 Adam Lee , Emil A. Stoltenberg , Per A. Mykland

This paper addresses the problem of measurement errors in causal inference and highlights several algebraic and graphical methods for eliminating systematic bias induced by such errors. In particulars, the paper discusses the control of…

Methodology · Statistics 2012-03-19 Judea Pearl

The presence of large-mass resonances in the data collected at the Large Hadron Collider would provide direct evidence of physics beyond the Standard Model. A key challenge in current resonance searches at the LHC is the modelling of…

High Energy Physics - Phenomenology · Physics 2021-01-12 Stefano Frixione , Lydia Roos , Edmund Ting , Eleni Vryonidou , Martin White , Anthony G. Williams

We present a novel method for anomaly detection in Solar System object data, in preparation for the Legacy Survey of Space and Time. We train a deep autoencoder for anomaly detection and use the learned latent space to search for other…

Earth and Planetary Astrophysics · Physics 2024-02-22 Brian Rogers , Chris J. Lintott , Steve Croft , Megan E. Schwamb , James R. A. Davenport

Since the first microlensing planet discovery in 2003, more than 200 planets have been detected with gravitational microlensing, in addition to several free-floating planet and black hole candidates. In this chapter the microlensing theory…

Earth and Planetary Astrophysics · Physics 2024-07-10 Natalia E. Rektsini , Virginie Batista

A new iterative algorithm for solving initial data inverse problems from partial observations has been recently proposed in Ramdani, Tucsnak and Weiss [15]. Based on the concept of observers (also called Luenberger observers), this…

Numerical Analysis · Mathematics 2010-08-30 Ghislain Haine , Karim Ramdani

A central challenge in statistical inference is the presence of confounding variables that may distort observed associations between treatment and outcome. Conventional "causal" methods, grounded in assumptions such as ignorability, exclude…

Methodology · Statistics 2025-09-09 Ellis Scharfenaker , Duncan K. Foley

We present a framework that relates preconditioning with a posteriori error estimates in finite element methods. In particular, we use standard tools in subspace correction methods to obtain reliable and efficient error estimators. As a…

Numerical Analysis · Mathematics 2020-10-13 Yuwen Li , Ludmil Zikatanov