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Gaussian process state-space models (GPSSMs) provide a principled and flexible approach to modeling the dynamics of a latent state, which is observed at discrete-time points via a likelihood model. However, inference in GPSSMs is…

机器学习 · 计算机科学 2023-07-18 Xuhui Fan , Edwin V. Bonilla , Terence J. O'Kane , Scott A. Sisson

The assumption of independence between observations (units) in a dataset is prevalent across various methodologies for learning causal graphical models. However, this assumption often finds itself in conflict with real-world data, posing…

机器学习 · 计算机科学 2024-12-31 Alex Chen , Qing Zhou

State-of-the-art causal discovery methods usually assume that the observational data is complete. However, the missing data problem is pervasive in many practical scenarios such as clinical trials, economics, and biology. One…

机器学习 · 计算机科学 2023-01-18 Erdun Gao , Ignavier Ng , Mingming Gong , Li Shen , Wei Huang , Tongliang Liu , Kun Zhang , Howard Bondell

Causal disentanglement aims to learn about latent causal factors behind data, holding the promise to augment existing representation learning methods in terms of interpretability and extrapolation. Recent advances establish identifiability…

机器学习 · 计算机科学 2024-12-25 Ryan Welch , Jiaqi Zhang , Caroline Uhler

Gaussian graphical models (GGMs) are probabilistic tools of choice for analyzing conditional dependencies between variables in complex systems. Finding changepoints in the structural evolution of a GGM is therefore essential to detecting…

机器学习 · 统计学 2016-05-03 Abhinav Maurya , Mark Cheung

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 $N$ independent of $X$, which may be scaled by a positive function $g$…

Recent advances have established the identifiability of a directed acyclic graph (DAG) under additive noise models (ANMs), spurring the development of various causal discovery methods. However, most existing methods make restrictive model…

机器学习 · 统计学 2026-04-24 Stella Huang , Qing Zhou

This paper studies the classification of high-dimensional Gaussian signals from low-dimensional noisy, linear measurements. In particular, it provides upper bounds (sufficient conditions) on the number of measurements required to drive the…

信息论 · 计算机科学 2016-11-03 Hugo Reboredo , Francesco Renna , Robert Calderbank , Miguel R. D. Rodrigues

The density deconvolution problem involves recovering a target density g from a sample that has been corrupted by noise. From the perspective of Le Cam's local asymptotic normality theory, we show that non-parametric density deconvolution…

统计理论 · 数学 2015-07-06 Stefan Wager

Causal discovery from observational data is an important but challenging task in many scientific fields. Recently, a method with non-combinatorial directed acyclic constraint, called NOTEARS, formulates the causal structure learning problem…

机器学习 · 计算机科学 2023-10-31 Weilin Chen , Jie Qiao , Ruichu Cai , Zhifeng Hao

Given a response $Y$ and a vector $X = (X^1, \dots, X^d)$ of $d$ predictors, we investigate the problem of inferring direct causes of $Y$ among the vector $X$. Models for $Y$ that use all of its causal covariates as predictors enjoy the…

统计理论 · 数学 2020-03-12 Rune Christiansen , Jonas Peters

The paper introduces robust independence tests with non-asymptotically guaranteed significance levels for stochastic linear time-invariant systems, assuming that the observed outputs are synchronous, which means that the systems are driven…

机器学习 · 统计学 2023-08-07 Ambrus Tamás , Dániel Ágoston Bálint , Balázs Csanád Csáji

Distinguishing causal connections from correlations is important in many scenarios. However, the presence of unobserved variables, such as the latent confounder, can introduce bias in conditional independence testing commonly employed in…

统计方法学 · 统计学 2024-05-03 Mingzhou Liu , Xinwei Sun , Yu Qiao , Yizhou Wang

We present Causal Generative Neural Networks (CGNNs) to learn functional causal models from observational data. CGNNs leverage conditional independencies and distributional asymmetries to discover bivariate and multivariate causal…

We consider the problem of learning causal directed acyclic graphs from an observational joint distribution. One can use these graphs to predict the outcome of interventional experiments, from which data are often not available. We show…

机器学习 · 统计学 2016-08-18 Jonas Peters , Joris Mooij , Dominik Janzing , Bernhard Schölkopf

Many real-world decision-making tasks require learning causal relationships between a set of variables. Traditional causal discovery methods, however, require that all variables are observed, which is often not feasible in practical…

统计方法学 · 统计学 2023-06-27 Raj Agrawal , Chandler Squires , Neha Prasad , Caroline Uhler

Methods for parameter estimation of gravitational-wave data assume that detector noise is stationary and Gaussian. Real data deviates from these assumptions, which causes bias in the inferred parameters and incorrect estimates of the…

广义相对论与量子宇宙学 · 物理学 2023-09-22 Ronaldas Macas , Andrew Lundgren

Deep models trained with noisy labels are prone to over-fitting and struggle in generalization. Most existing solutions are based on an ideal assumption that the label noise is class-conditional, i.e., instances of the same class share the…

计算机视觉与模式识别 · 计算机科学 2022-08-01 Ganlong Zhao , Guanbin Li , Yipeng Qin , Feng Liu , Yizhou Yu

Causal models seek to unravel the cause-effect relationships among variables from observed data, as opposed to mere mappings among them, as traditional regression models do. This paper introduces a novel causal discovery algorithm designed…

机器学习 · 计算机科学 2024-10-03 Saeed Mohseni-Sehdeh , Walid Saad

Correlation between microstructure noise and latent financial logarithmic returns is an empirically relevant phenomenon with sound theoretical justification. With few notable exceptions, all integrated variance estimators proposed in the…

统计计算 · 统计学 2019-05-29 Stefano Peluso , Antonietta Mira , Pietro Muliere