Fundamental Properties of Causal Entropy and Information Gain

Francisco N. F. Q. Simoes, Mehdi Dastani, Thijs van Ommen

Accepted for the 3rd conference of Causality Learning and Reasonig (CLeaR 2024) for oral presentation. To appear in its proceedings.

This research contributes to the formal understanding of the notions of causal entropy and causal information gain by establishing and analyzing fundamental properties of these concepts, including bounds and chain rules. Furthermore, we elucidate the relationship between causal entropy and stochastic interventions. We also propose definitions for causal conditional entropy and causal conditional information gain.

Causal Entropy and Information Gain for Measuring Causal Control

Francisco N. F. Q. Simoes, Mehdi Dastani, Thijs van Ommen

In Proceedings of the European Conference on Artificial Intelligence (ECAI) 2023. Work presented at the third XI-ML workshop of ECAI 2023.

We introduce causal versions of entropy and mutual information, termed causal entropy and causal information gain, which are designed to assess how much control a feature provides over the outcome variable. These newly defined quantities capture changes in the entropy of a variable resulting from interventions on other variables.

Jaccard Kernel PCA in genotype and gene-burden data for ALS

Francisco N. F. Q. Simoes (supervisor: Kevin Kenna)

Report for my internship at the Utrecht Brain Center, part of the Utrecht Medical Center (2020).

The project aimed to study whether one could enhance population stratification control in large-scale genetic studies of Amyotrophic lateral sclerosis (ALS) by utilizing Jaccard principal component analysis (jPCA) as an alternative to standard methods like PCA, which are ineffective for rare genetic variants. To that end, I developed a set of scripts (written in R) capable of running jPCA on very large datasets (through parallelization) and another one allowing for arbitrary positive integers gene-burden values.

The Monoidal Category of D-branes in a Kazama-Suzuki Model

Francisco N. F. Q. Simoes (supervisors: Stefan Vandoren, Ana Ros Camacho)

My Master's thesis. Written for completion of the MSc program in Theoretical Physics (2019).

This thesis consists of an application of category theory to string theory. Concretely, we show that the D-branes of the most prolific Kazama-Suzuki model (which is an N = 2 superconformal field theory with central charge c = 9) form a category finite on objects. We furthermore prove that this category admits a notion of tensor product and thus a monoidal structure. I believe this thesis can be useful to someone trying to understand Kac-Moody algebras in the context of string theory, and representation theory of the Virasoro algebra in general.

Supervisee: Sem Yedema. Co-supervisor: Thijs van Ommen.

This Master's thesis was incorporated into the student's internship at ProRail.

The goal of this project is to discover rules that help us minimize the number of interventions that need to be tested in order to find the optimal intervention for a given target. More details to come.

Supervisee: Vera Schoonderwoerd. Co-supervisor: Thijs van Ommen.

This Master's thesis was incorporated into the student's internship at ProRail.

The goal of this project was to learn an SCM describing train delay data provided by ProRail. The student applied a modified version of the FCI algorithm to train delay data. This algorithm took into account the background knowledge one has about causal relationships between train delays, making it feasible to learn the causal graph despite the high number of variables. Each structural equation was then estimated by fine-tuning a neural network previously trained on the entire dataset, and which also incorporated exogenous variables external to the delay data.

Tutorial coordinator; Guest lecturer; Teaching Assistant

Tutorial coordinator; Teaching Assistant

Tutorial coordinator; Guest lecturer; Teaching Assistant

Tutorial coordinator; Teaching Assistant

Teaching Assistant