Carola Heinzel

Currently, I am a PhD student in the probability group within the mathematical institute of the University of Freiburg.

I am member of the CRC Small Data.

Adress:

Abteilung für Mathematische Stochastik
Albert-Ludwigs University of Freiburg
Ernst-Zermelo-Straße 1

Room 231
D - 79104 Freiburg

E-Mail: carola.heinzel@stochastik.uni-freiburg.de

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  • Mathematics with applications in the Life Sciences
  • Theoretical Statistics
  • Forensic Genetics
  • Admixture Model: We consider K populations and data of the DNA sequence at M different positions (i.e., we use M different markers) for N individuals. Based on this knowledge, we estimate the ancestry of individuals with the Admixture Model. Specifically, we assume that the ancestry of each individual is a mixture of the K non-admixed populations, such as those from Europe or Africa. We are interested in the theoretical properties of the estimator (e.g. consistency) and in improving the state-of-the-art methods to infer the ancestry.
  • Maximum Entropy and its Application to Metabolic Networks
  • Branching Processes and its Application to Cancer Research

  • Carola Sophia Heinzel, Peter Pfaffelhuber, Admixture Model -- Flat Likelihood, Consistency, and a Central Limit Result, May 23, (2024), Stochastic Processes in Evolutionary Biology, Luminy, France.
  • Carola Sophia Heinzel, Peter Pfaffelhuber, Non-unique Estimators and a Central Limit Result in the Admixture Model, June 26, (2024), Research Students Conference in Population Genomics 2024, Edinburgh, UK.
  • Carola Sophia Heinzel, Johann Fredrik Jadebeck, Elisabeth Zelle, Johannes Seiffarth, Katharina Nöh, Combining Knowledge about Metabolic Networks and Single-cell Data with Maximum Entropy, July 5, (2024), 43rd International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, Gent, Belgium.
  • Carola Sophia Heinzel, Lukas Hoffmann, Sabine Lutz-Bonengel, Peter Pfaffelhuber, Classification in Biogeographical Analysis: When does it make Sense and What are the Alternatives?, September 12, (2024), 30th Congress of the International Society for Forensic Genetics -- ISFG 2024, Santiago de Compostela, Spain.
  • Carola Sophia Heinzel, Lennart Purucker, Frank Hutter, Peter Pfaffelhuber, Improving Machine Learning for Small Genetic Data Using Mathematical Statistics, October 8, (2024), SmallData Symposium 2024, Freiburg, Germany.

My Orcid profile is here.