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A lattice-theoretic framework is introduced that permits the study of the conditional independence (CI) implication problem relative to the class of discrete probability measures. Semi-lattices are associated with CI statements and a…

Artificial Intelligence · Computer Science 2014-08-12 Mathias Niepert , Dirk Van Gucht , Marc Gyssens

A lattice-theoretic framework is introduced that permits the study of the conditional independence (CI) implication problem relative to the class of discrete probability measures. Semi-lattices are associated with CI statements and a…

Artificial Intelligence · Computer Science 2008-11-03 Mathias Niepert , Dirk Van Gucht , Marc Gyssens

Cryogenic solid state detectors are widely used in dark matter and neutrino experiments, and require a sensible raw data analysis. For this purpose, we present Cait, an open source Python package with all essential methods for the analysis…

Instrumentation and Detectors · Physics 2022-12-26 Felix Wagner , Daniel Bartolot , Damir Rizvanovic , Florian Reindl , Jochen Schieck , Wolfgang Waltenberger

Event Causality Identification (ECI) focuses on extracting causal relations between events in texts. Existing methods for ECI primarily rely on causal features and external knowledge. However, these approaches fall short in two dimensions:…

Computation and Language · Computer Science 2024-10-03 Haoran Li , Qiang Gao , Hongmei Wu , Li Huang

We introduce OpportunityFinder, a code-less framework for performing a variety of causal inference studies with panel data for non-expert users. In its current state, OpportunityFinder only requires users to provide raw observational data…

Machine Learning · Computer Science 2023-09-26 Huy Nguyen , Prince Grover , Devashish Khatwani

Real-world problems, for example in climate applications, often require causal reasoning on spatially gridded time series data or data with comparable structure. While the underlying system is often believed to behave similarly at different…

Machine Learning · Computer Science 2026-02-16 Martin Rabel , Jakob Runge

We introduce a powerful deep classifier two-sample test for high-dimensional data based on E-values, called E-value Classifier Two-Sample Test (E-C2ST). Our test combines ideas from existing work on split likelihood ratio tests and…

Methodology · Statistics 2024-05-01 Teodora Pandeva , Tim Bakker , Christian A. Naesseth , Patrick Forré

Inferring causal structure poses a combinatorial search problem that typically involves evaluating structures with a score or independence test. The resulting search is costly, and designing suitable scores or tests that capture prior…

Machine Learning · Computer Science 2022-12-16 Lars Lorch , Scott Sussex , Jonas Rothfuss , Andreas Krause , Bernhard Schölkopf

Ensemble methods can deliver surprising performance gains but also bring significantly higher computational costs, e.g., can be up to 2048X in large-scale ensemble tasks. However, we found that the majority of computations in ensemble…

Machine Learning · Computer Science 2023-01-31 Ziyue Li , Kan Ren , Yifan Yang , Xinyang Jiang , Yuqing Yang , Dongsheng Li

Causality is a central topic in scientific inquiry, yet for complex systems, the identification and analysis of synergistic causation remain a challenging and fundamental problem. In the context of causal relations among multivariate…

Machine Learning · Statistics 2026-05-06 Mingzhe Yang , Shuo Wang , Jiang Zhang

One of the goals of probabilistic inference is to decide whether an empirically observed distribution is compatible with a candidate Bayesian network. However, Bayesian networks with hidden variables give rise to highly non-trivial…

Machine Learning · Statistics 2014-10-14 R. Chaves , L. Luft , T. O. Maciel , D. Gross , D. Janzing , B. Schölkopf

Methods of causal discovery aim to identify causal structures in a data driven way. Existing algorithms are known to be unstable and sensitive to statistical errors, and are therefore rarely used with biomedical or epidemiological data. We…

Methodology · Statistics 2024-07-01 Christine W Bang , Janine Witte , Ronja Foraita , Vanessa Didelez

Estimating individualised treatment effect (ITE) -- that is the causal effect of a set of variables (also called exposures, treatments, actions, policies, or interventions), referred to as \textit{composite treatments}, on a set of outcome…

Machine Learning · Computer Science 2025-12-19 Vinod Kumar Chauhan , Lei Clifton , Gaurav Nigam , David A. Clifton

A fundamental difficulty of causal learning is that causal models can generally not be fully identified based on observational data only. Interventional data, that is, data originating from different experimental environments, improves…

Methodology · Statistics 2021-11-04 Juan L. Gamella , Christina Heinze-Deml

Uncertainty quantification is a critical aspect of reinforcement learning and deep learning, with numerous applications ranging from efficient exploration and stable offline reinforcement learning to outlier detection in medical…

Machine Learning · Computer Science 2025-03-27 Moritz A. Zanger , Pascal R. Van der Vaart , Wendelin Böhmer , Matthijs T. J. Spaan

Real world systems evolve in continuous-time according to their underlying causal relationships, yet their dynamics are often unknown. Existing approaches to learning such dynamics typically either discretize time -- leading to poor…

Machine Learning · Computer Science 2025-12-17 Nicholas Tagliapietra , Katharina Ensinger , Christoph Zimmer , Osman Mian

Causal excursion effect (CEE) characterizes the effect of an intervention under policies that deviate from the experimental policy. It is widely used to study the effect of time-varying interventions that have the potential to be frequently…

Methodology · Statistics 2024-06-14 Zhaoxi Cheng , Lauren Bell , Tianchen Qian

Causal knowledge is vital for effective reasoning in science, as causal relations, unlike correlations, allow one to reason about the outcomes of interventions. Algorithms that can discover causal relations from observational data are based…

Machine Learning · Statistics 2019-11-12 Anish Dhir , Ciarán M. Lee

Multivariate time series in domains such as finance, climate science, and healthcare often exhibit long-term trends, seasonal patterns, and short-term fluctuations, complicating causal inference under non-stationarity and autocorrelation.…

Machine Learning · Computer Science 2026-04-29 Muhammad Hasan Ferdous , Md Osman Gani

Online controlled experiments (A/B testing) are fundamental to data-driven decision-making in many companies. Improving the sensitivity of these experiments under fixed sample size constraints requires reducing the variance of the average…

Methodology · Statistics 2026-03-24 Zhexiao Lin , Pablo Crespo