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This research advances causal discovery by utilizing fully connected tensor networks to guarantee errorless structure learning from observational data alone, eliminating the need for discrete statistical tests or intervention. The method ensures correctness when reconstruction error is zero, offering a robust alternative for mapping causal links in complex probability distributions without relying on traditional algorithms like PC or NOTEARS.
Researchers Map Causal Links from Probability Data

Errorless causal structure learning is now guaranteed for all optimal solutions when employing fully connected tensor networks, a departure from previous methods like PC, GES or NOTEARS which rely on discrete tests. This approach replaces those tests with continuous optimisation via nuclear norm penalties, uniquely ensuring correctness where reconstruction error equals zero. Such guarantees were previously unattainable in causal discovery without intervention data.
Causal relationships between discrete variables can be reliably mapped from observational data alone. A new method using fully connected tensor networks recovers the ‘moral graph’, an underlying representation of these connections, directly from probability distributions. The method accurately identifies causal links by reconstructing underlying patterns without relying on traditional statistical tests or searching through numerous possibilities. This approach offers an alternative direction for learning how structures emerge from increasingly complicated datasets. Fully connected tensor networks decipher relationships within complex datasets; they function like interconnected building blocks modelling…
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