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We introduce a variational Bayesian neural network where the parameters are governed via a probability distribution on random matrices. Specifically, we employ a matrix variate Gaussian \cite{gupta1999matrix} parameter posterior…

Machine Learning · Statistics 2016-06-24 Christos Louizos , Max Welling

Despite impressive performance as evaluated on i.i.d. holdout data, deep neural networks depend heavily on superficial statistics of the training data and are liable to break under distribution shift. For example, subtle changes to the…

Computer Vision and Pattern Recognition · Computer Science 2019-03-18 Haohan Wang , Zexue He , Zachary C. Lipton , Eric P. Xing

This review systematizes the emerging literature for causal inference using deep neural networks under the potential outcomes framework. It provides an intuitive introduction on how deep learning can be used to estimate/predict…

Machine Learning · Computer Science 2023-11-30 Bernard Koch , Tim Sainburg , Pablo Geraldo , Song Jiang , Yizhou Sun , Jacob Gates Foster

Graph-based causal discovery methods aim to capture conditional independencies consistent with the observed data and differentiate causal relationships from indirect or induced ones. Successful construction of graphical models of data…

Machine Learning · Statistics 2021-01-08 Boris Hayete , Fred Gruber , Anna Decker , Raymond Yan

Recent empirical works have successfully used unlabeled data to learn feature representations that are broadly useful in downstream classification tasks. Several of these methods are reminiscent of the well-known word2vec embedding…

Machine Learning · Computer Science 2019-02-26 Sanjeev Arora , Hrishikesh Khandeparkar , Mikhail Khodak , Orestis Plevrakis , Nikunj Saunshi

We propose a method to facilitate exploration and analysis of new large data sets. In particular, we give an unsupervised deep learning approach to learning a latent representation that captures semantic similarity in the data set. The core…

Computer Vision and Pattern Recognition · Computer Science 2020-12-23 Gary B Huang , Huei-Fang Yang , Shin-ya Takemura , Pat Rivlin , Stephen M Plaza

Causal Bayesian networks are 'causal' models since they make predictions about interventional distributions. To connect such causal model predictions to real-world outcomes, we must determine which actions in the world correspond to which…

Machine Learning · Statistics 2025-02-04 Frederik Hytting Jørgensen , Luigi Gresele , Sebastian Weichwald

Graph data often contain noisy and spurious correlations that mask the true causal relationships, which are essential for enabling graph models to make predictions based on the underlying causal structure of the data. Dependence on spurious…

Machine Learning · Computer Science 2026-02-23 Simi Job , Xiaohui Tao , Taotao Cai , Haoran Xie , Jianming Yong

Autoencoders exhibit impressive abilities to embed the data manifold into a low-dimensional latent space, making them a staple of representation learning methods. However, without explicit supervision, which is often unavailable, the…

Machine Learning · Computer Science 2023-01-12 Felix Leeb , Stefan Bauer , Michel Besserve , Bernhard Schölkopf

Inducing causal relationships from observations is a classic problem in machine learning. Most work in causality starts from the premise that the causal variables themselves are observed. However, for AI agents such as robots trying to make…

Which neural networks are similar is a fundamental question for both machine learning and neuroscience. Here, it is proposed to base comparisons on the predictive distributions of linear readouts from intermediate representations. In…

Machine Learning · Computer Science 2025-05-27 Heiko H. Schütt

We consider the problem of recovering the causal structure underlying observations from different experimental conditions when the targets of the interventions in each experiment are unknown. We assume a linear structural causal model with…

Methodology · Statistics 2025-03-13 Juan L. Gamella , Armeen Taeb , Christina Heinze-Deml , Peter Bühlmann

We consider learning a causal ordering of variables in a linear non-Gaussian acyclic model called LiNGAM. Several existing methods have been shown to consistently estimate a causal ordering assuming that all the model assumptions are…

Machine Learning · Statistics 2013-07-30 Tatsuya Tashiro , Shohei Shimizu , Aapo Hyvarinen , Takashi Washio

Over the past decade, deep learning has proven to be a highly effective tool for learning meaningful features from raw data. However, it remains an open question how deep networks perform hierarchical feature learning across layers. In this…

Machine Learning · Computer Science 2025-11-17 Peng Wang , Xiao Li , Can Yaras , Zhihui Zhu , Laura Balzano , Wei Hu , Qing Qu

Latent dynamics discovery is challenging in extracting complex dynamics from high-dimensional noisy neural data. Many dimensionality reduction methods have been widely adopted to extract low-dimensional, smooth and time-evolving latent…

Machine Learning · Computer Science 2019-07-02 Qi She , Anqi Wu

To gain insight into the mechanisms behind machine learning methods, it is crucial to establish connections among the features describing data points. However, these correlations often exhibit a high-dimensional and strongly nonlinear…

Machine Learning · Computer Science 2025-03-04 Lorenzo Basile , Santiago Acevedo , Luca Bortolussi , Fabio Anselmi , Alex Rodriguez

Convolutional neural networks (CNNs) have achieved remarkable performance in various fields, particularly in the domain of computer vision. However, why this architecture works well remains to be a mystery. In this work we move a small step…

Machine Learning · Computer Science 2019-05-27 Bing Yu , Junzhao Zhang , Zhanxing Zhu

We propose an approach for learning the causal structure in stochastic dynamical systems with a $1$-step functional dependency in the presence of latent variables. We propose an information-theoretic approach that allows us to recover the…

Information Theory · Computer Science 2017-01-25 Saber Salehkaleybar , Jalal Etesami , Negar Kiyavash

Most efforts in interpretability in deep learning have focused on (1) extracting explanations of a specific downstream task in relation to the input features and (2) imposing constraints on the model, often at the expense of predictive…

Machine Learning · Computer Science 2022-02-22 Marco Bertolini , Djork-Arné Clevert , Floriane Montanari

Causal inference on populations embedded in social networks poses technical challenges, since the typical no interference assumption frequently does not hold. Existing methods developed in the context of network interference rely upon the…

Methodology · Statistics 2024-04-12 Vanessa McNealis , Erica E. M. Moodie , Nema Dean
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