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Directed acyclic graphs have been used fruitfully to represent causal strucures (Pearl 1988). However, in the social sciences and elsewhere models are often used which correspond both causally and statistically to directed graphs with…

Artificial Intelligence · Computer Science 2020-10-24 Thomas S. Richardson

We propose a simple and efficient algorithm for learning sparse invariant representations from unlabeled data with fast inference. When trained on short movies sequences, the learned features are selective to a range of orientations and…

Computer Vision and Pattern Recognition · Computer Science 2011-05-27 Karol Gregor , Yann LeCun

We consider a graphical model where a multivariate normal vector is associated with each node of the underlying graph and estimate the graphical structure. We minimize a loss function obtained by regressing the vector at each node on those…

Machine Learning · Statistics 2017-09-19 Xingqi Du , Subhashis Ghosal

We develop a new framework for learning variational autoencoders and other deep generative models that balances generative and discriminative goals. Our framework optimizes model parameters to maximize a variational lower bound on the…

Machine Learning · Computer Science 2020-12-15 Gabriel Hope , Madina Abdrakhmanova , Xiaoyin Chen , Michael C. Hughes , Michael C. Hughes , Erik B. Sudderth

With the wide-spread availability of complex relational data, semi-supervised node classification in graphs has become a central machine learning problem. Graph neural networks are a recent class of easy-to-train and accurate methods for…

Machine Learning · Computer Science 2021-06-08 Junteng Jia , Cenk Baykal , Vamsi K. Potluru , Austin R. Benson

Graphical models are useful tools for describing structured high-dimensional probability distributions. Development of efficient algorithms for learning graphical models with least amount of data remains an active research topic.…

Machine Learning · Computer Science 2021-11-18 Marc Vuffray , Sidhant Misra , Andrey Y. Lokhov

Graph neural networks (GNNs) have been widely applied in multi-variate time-series forecasting (MTSF) tasks because of their capability in capturing the correlations among different time-series. These graph-based learning approaches improve…

Machine Learning · Computer Science 2023-06-30 Ngoc-Dung Do , Truong Son Hy , Duy Khuong Nguyen

Structural causal models postulate noisy functional relations among a set of interacting variables. The causal structure underlying each such model is naturally represented by a directed graph whose edges indicate for each variable which…

Statistics Theory · Mathematics 2022-03-15 David Strieder , Tobias Freidling , Stefan Haffner , Mathias Drton

Graph sparsification is a well-established technique for accelerating graph-based learning algorithms, which uses edge sampling to approximate dense graphs with sparse ones. Because the sparsification error is random and unknown, users must…

Machine Learning · Computer Science 2025-03-12 Siyao Wang , Miles E. Lopes

Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

Methodology · Statistics 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

Graph Neural Networks (GNNs) are versatile, powerful machine learning methods that enable graph structure and feature representation learning, and have applications across many domains. For applications critically requiring interpretation,…

Machine Learning · Computer Science 2020-07-02 Chris Lin , Gerald J. Sun , Krishna C. Bulusu , Jonathan R. Dry , Marylens Hernandez

Inferring synaptic connectivity from neural population activity is a fundamental challenge in computational neuroscience, complicated by partial observability and mismatches between inference models and true circuit dynamics. In this study,…

Neurons and Cognition · Quantitative Biology 2025-10-28 Kijung Yoon

In the Network Inference problem, one seeks to recover the edges of an unknown graph from the observations of cascades propagating over this graph. In this paper, we approach this problem from the sparse recovery perspective. We introduce a…

Social and Information Networks · Computer Science 2024-11-14 Jean Pouget-Abadie , Thibaut Horel

Undirected graphical models are widely used to model the conditional independence structure of vector-valued data. However, in many modern applications, for example those involving EEG and fMRI data, observations are more appropriately…

Machine Learning · Statistics 2024-01-29 Boxin Zhao , Percy S. Zhai , Y. Samuel Wang , Mladen Kolar

We consider the task of few shot link prediction on graphs. The goal is to learn from a distribution over graphs so that a model is able to quickly infer missing edges in a new graph after a small amount of training. We show that current…

Machine Learning · Computer Science 2020-03-03 Avishek Joey Bose , Ankit Jain , Piero Molino , William L. Hamilton

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…

Machine Learning · Computer Science 2024-10-03 Saeed Mohseni-Sehdeh , Walid Saad

In this paper, we focus on the unsupervised setting for structure learning of deep neural networks and propose to adopt the efficient coding principle, rooted in information theory and developed in computational neuroscience, to guide the…

Machine Learning · Computer Science 2021-05-31 Jinhui Yuan , Fei Pan , Chunting Zhou , Tao Qin , Tie-Yan Liu

Accurate modelling and quantification of predictive uncertainty is crucial in deep learning since it allows a model to make safer decisions when the data is ambiguous and facilitates the users' understanding of the model's confidence in its…

Machine Learning · Statistics 2025-08-26 Soumyasundar Pal , Liheng Ma , Amine Natik , Yingxue Zhang , Mark Coates

Graphs are naturally sparse objects that are used to study many problems involving networks, for example, distributed learning and graph signal processing. In some cases, the graph is not given, but must be learned from the problem and…

Machine Learning · Statistics 2017-08-31 Martin Sundin , Arun Venkitaraman , Magnus Jansson , Saikat Chatterjee

A fundamental computation for statistical inference and accurate decision-making is to compute the marginal probabilities or most probable states of task-relevant variables. Probabilistic graphical models can efficiently represent the…

Machine Learning · Computer Science 2019-06-28 KiJung Yoon , Renjie Liao , Yuwen Xiong , Lisa Zhang , Ethan Fetaya , Raquel Urtasun , Richard Zemel , Xaq Pitkow