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Promising results have driven a recent surge of interest in continuous optimization methods for Bayesian network structure learning from observational data. However, there are theoretical limitations on the identifiability of underlying…

Deep sequence models are receiving significant interest in current machine learning research. By representing probability distributions that are fit to data using maximum likelihood estimation, such models can model data on general…

Systems and Control · Electrical Eng. & Systems 2024-09-09 Kristian Løvland , Bjarne Grimstad , Lars Struen Imsland

Extremal graphical models are sparse statistical models for multivariate extreme events. The underlying graph encodes conditional independencies and enables a visual interpretation of the complex extremal dependence structure. For the…

Methodology · Statistics 2022-08-18 Sebastian Engelke , Stanislav Volgushev

Data generated from a system of interest typically consists of measurements from an ensemble of subjects across multiple response and covariate features, and is naturally represented by one response-matrix against one covariate-matrix.…

Methodology · Statistics 2018-07-04 Hsieh Fushing , Shan-Yu Liu , Yin-Chen Hsieh , Brenda McCowan

Real-world data is often incomplete and contains missing values. To train accurate models over real-world datasets, users need to spend a substantial amount of time and resources imputing and finding proper values for missing data items. In…

Machine Learning · Statistics 2024-03-05 Cheng Zhen , Nischal Aryal , Arash Termehchy , Alireza Aghasi , Amandeep Singh Chabada

Standard methods of using categorical variables as predictors either endow them with an ordinal structure or assume they have no structure at all. However, categorical variables often possess structure that is more complicated than a linear…

Machine Learning · Statistics 2020-04-17 Brian Lucena

Constraint-based structure learning algorithms infer the causal structure of multivariate systems from observational data by determining an equivalent class of causal structures compatible with the conditional independencies in the data.…

Machine Learning · Statistics 2019-05-22 Daniel Chicharro , Stefano Panzeri , Ilya Shpitser

Observed associations in a database may be due in whole or part to variations in unrecorded (latent) variables. Identifying such variables and their causal relationships with one another is a principal goal in many scientific and practical…

Machine Learning · Computer Science 2012-12-12 Ricardo Silva , Richard Scheines , Clark Glymour , Peter L. Spirtes

Despite recent advances, goal-directed generation of structured discrete data remains challenging. For problems such as program synthesis (generating source code) and materials design (generating molecules), finding examples which satisfy…

Machine Learning · Computer Science 2020-10-26 Amina Mollaysa , Brooks Paige , Alexandros Kalousis

Causal discovery, the task of inferring causal structure from data, has the potential to uncover mechanistic insights from biological experiments, especially those involving perturbations. However, causal discovery algorithms over larger…

Machine Learning · Computer Science 2025-04-01 Menghua Wu , Yujia Bao , Regina Barzilay , Tommi Jaakkola

Parametric system identification methods estimate the parameters of explicitly defined physical systems from data. Yet, they remain constrained by the need to provide an explicit function space, typically through a predefined library of…

Machine Learning · Computer Science 2026-03-17 Markus W. Baumgartner , Anson Lei , Joe Watson , Ingmar Posner

Extracting predictive models from nonlinear systems is a central task in scientific machine learning. One key problem is the reconciliation between modern data-driven approaches and first principles. Despite rapid advances in machine…

Chaotic Dynamics · Physics 2021-12-03 Tom Z. Jiahao , M. Ani Hsieh , Eric Forgoston

We present a discrete-time formulation for the autonomous learning conjecture. The main feature of this formulation is the possibility to apply the autonomous learning scheme to systems in which the errors with respect to target functions…

Adaptation and Self-Organizing Systems · Physics 2017-06-07 Agustín M. Bilen , Pablo Kaluza

Key to structured prediction is exploiting the problem structure to simplify the learning process. A major challenge arises when data exhibit a local structure (e.g., are made by "parts") that can be leveraged to better approximate the…

Machine Learning · Statistics 2019-06-03 Carlo Ciliberto , Francis Bach , Alessandro Rudi

Causal Bayesian networks have become a powerful technology for reasoning under uncertainty in areas that require transparency and explainability, by relying on causal assumptions that enable us to simulate hypothetical interventions. The…

Artificial Intelligence · Computer Science 2023-03-14 Anthony C. Constantinou , Zhigao Guo , Neville K. Kitson

Deep structured models are widely used for tasks like semantic segmentation, where explicit correlations between variables provide important prior information which generally helps to reduce the data needs of deep nets. However, current…

Machine Learning · Computer Science 2018-11-02 Colin Graber , Ofer Meshi , Alexander Schwing

Standard supervised learning breaks down under data distribution shift. However, the principle of independent causal mechanisms (ICM, Peters et al. (2017)) can turn this weakness into an opportunity: one can take advantage of distribution…

Machine Learning · Computer Science 2021-02-09 Jens Müller , Robert Schmier , Lynton Ardizzone , Carsten Rother , Ullrich Köthe

Understanding relationships between feature variables is one important way humans use to make decisions. However, state-of-the-art deep learning studies either focus on task-agnostic statistical dependency learning or do not model explicit…

Machine Learning · Computer Science 2021-03-04 Arshdeep Sekhon , Zhe Wang , Yanjun Qi

Learning the undirected graph structure of a Markov network from data is a problem that has received a lot of attention during the last few decades. As a result of the general applicability of the model class, a myriad of methods have been…

We consider a general statistical estimation problem wherein binary labels across different observations are not independent conditioned on their feature vectors, but dependent, capturing settings where e.g. these observations are collected…

Machine Learning · Computer Science 2021-07-22 Yuval Dagan , Constantinos Daskalakis , Nishanth Dikkala , Surbhi Goel , Anthimos Vardis Kandiros