Toward causal representation learning

B Schölkopf, F Locatello, S Bauer, NR Ke… - Proceedings of the …, 2021 - ieeexplore.ieee.org
The two fields of machine learning and graphical causality arose and are developed
separately. However, there is, now, cross-pollination and increasing interest in both fields to …

[BOOK][B] Elements of causal inference: foundations and learning algorithms

J Peters, D Janzing, B Schölkopf - 2017 - library.oapen.org
A concise and self-contained introduction to causal inference, increasingly important in data
science and machine learning. The mathematization of causality is a relatively recent …

Causality for machine learning

B Schölkopf - Probabilistic and causal inference: The works of Judea …, 2022 - dl.acm.org
The machine learning community's interest in causality has significantly increased in recent
years. My understanding of causality has been shaped by Judea Pearl and a number of …

Distinguishing cause from effect using observational data: methods and benchmarks

JM Mooij, J Peters, D Janzing, J Zscheischler… - Journal of Machine …, 2016 - jmlr.org
The discovery of causal relationships from purely observational data is a fundamental
problem in science. The most elementary form of such a causal discovery problem is to …

Regularized M-estimators with nonconvexity: Statistical and algorithmic theory for local optima

PL Loh, MJ Wainwright - The Journal of Machine Learning Research, 2015 - dl.acm.org
We provide novel theoretical results regarding local optima of regularized M-estimators,
allowing for nonconvexity in both loss and penalty functions. Under restricted strong …

On the identifiability and estimation of causal location-scale noise models

A Immer, C Schultheiss, JE Vogt… - International …, 2023 - proceedings.mlr.press
We study the class of location-scale or heteroscedastic noise models (LSNMs), in which the
effect $ Y $ can be written as a function of the cause $ X $ and a noise source $ N …

Kernel-based tests for joint independence

N Pfister, P Bühlmann, B Schölkopf… - Journal of the Royal …, 2018 - academic.oup.com
We investigate the problem of testing whether d possibly multivariate random variables,
which may or may not be continuous, are jointly (or mutually) independent. Our method …

Towards a learning theory of cause-effect inference

D Lopez-Paz, K Muandet… - International …, 2015 - proceedings.mlr.press
We pose causal inference as the problem of learning to classify probability distributions. In
particular, we assume access to a collection {(S_i, l_i)} _i= 1^ n, where each S_i is a sample …

A polynomial-time algorithm for learning nonparametric causal graphs

M Gao, Y Ding, B Aragam - Advances in Neural Information …, 2020 - proceedings.neurips.cc
We establish finite-sample guarantees for a polynomial-time algorithm for learning a
nonlinear, nonparametric directed acyclic graphical (DAG) model from data. The analysis is …

A Review and Roadmap of Deep Causal Model from Different Causal Structures and Representations

H Chen, K Du, C Li, X Yang - arxiv preprint arxiv:2311.00923, 2023 - arxiv.org
The fusion of causal models with deep learning introducing increasingly intricate data sets,
such as the causal associations within images or between textual components, has surfaced …