activity
20232026
most citedCausal Discovery with Score Matching on Additive Models with Arbitrary Noise

1 citations · 2 across the 9 of their papers we have counts for

collaborators

11 papers

cs.LG2026

Causal Discovery Under Hard Selection Bias: A New Robust Score-Matching Approach

Yiwen Qiu, Francesco Montagna, Shimeng Huang +1

Selection bias is a difficult yet widespread problem in causal discovery, occurring whenever non-random selection processes lead to data that is not representative of the underlyin…

cs.AI2026

The Independence Prior of SAEs Fragments Visual Concepts

Tommaso Mencattini, Giorgos Nikolaou, Donato Crisostomi +4

Sparse Autoencoders (SAEs) decompose model activations into sparse combinations of interpretable dictionary atoms. Although SAEs are grounded in the Linear Representation Hypothesi…

cs.LG2026

The Rate-Distortion-Polysemanticity Tradeoff in SAEs

Tommaso Mencattini, Francesco Montagna, Francesco Locatello

Sparse Autoencoders (SAEs) that can accurately reconstruct their input (minimizing distortion) by making efficient use of few features (minimizing the rate) often fail to learn mon…

stat.ML2026

Causal Learning with the Invariance Principle

Francesco Montagna, Francesco Locatello

Causal discovery, the problem of inferring the direction of causality, is generally ill-posed. We use the language of structural causal models (SCM) to show that assuming that the…

stat.ML2025

On the Identifiability of Causal Graphs with the Invariance Principle

Francesco Montagna

Causal discovery from i.i.d. observational data is known to be generally ill-posed. We demonstrate that if we have access to the distribution {induced} by a structural causal model…

stat.ML2024

Score matching through the roof: linear, nonlinear, and latent variables causal discovery

Francesco Montagna, Philipp M. Faller, Patrick Bloebaum +2

Causal discovery from observational data holds great promise, but existing methods rely on strong assumptions about the underlying causal structure, often requiring full observabil…

cs.LG2024

Demystifying amortized causal discovery with transformers

Francesco Montagna, Max Cairney-Leeming, Dhanya Sridhar +1

Supervised learning for causal discovery from observational data often achieves competitive performance despite seemingly avoiding the explicit assumptions that traditional methods…

stat.ME2023

Shortcuts for causal discovery of nonlinear models by score matching

Francesco Montagna, Nicoletta Noceti, Lorenzo Rosasco +1

The use of simulated data in the field of causal discovery is ubiquitous due to the scarcity of annotated real data. Recently, Reisach et al., 2021 highlighted the emergence of pat…

stat.ME2023

Assumption violations in causal discovery and the robustness of score matching

Francesco Montagna, Atalanti A. Mastakouri, Elias Eulig +5

When domain knowledge is limited and experimentation is restricted by ethical, financial, or time constraints, practitioners turn to observational causal discovery methods to recov…

cs.LG2023★ 1 cited

Scalable Causal Discovery with Score Matching

Francesco Montagna, Nicoletta Noceti, Lorenzo Rosasco +2

This paper demonstrates how to discover the whole causal graph from the second derivative of the log-likelihood in observational non-linear additive Gaussian noise models. Leveragi…

cs.LG2023★ 1 cited

Causal Discovery with Score Matching on Additive Models with Arbitrary Noise

Francesco Montagna, Nicoletta Noceti, Lorenzo Rosasco +2

Causal discovery methods are intrinsically constrained by the set of assumptions needed to ensure structure identifiability. Moreover additional restrictions are often imposed in o…