Publications

Journal articles

1. Mathias Drton, Leonard Henckel, Benjamin Hollering, Pratik Misra (2025). Faithlessness in Gaussian graphical models. (Accepted in Bernoulli).
   https://arxiv.org/abs/2404.05306

2. Tobias Boege, Mathias Drton, Benjamin Hollering, Sarah Lumpp, Pratik Misra, Daniela Schkoda (2025). Conditional Independence in Stationary distributions of diffusions. Stochastic Processes and their Applications (184), 104604. doi: 10.1016/j.spa.2025.104604
   https://arxiv.org/abs/2408.00583v1

3. Shelby Cox, Pratik Misra, Pardis Semnani (2024). Homaloidal polynomials and Gaussian models of maximum likelihood degree 1. Algebraic Statistics 15-2, 167-198. doi: 10.2140/astat.2024.15.167 
   https://arxiv.org/abs/2402.06090

4. Danai Deligeorgaki, Alex Markham, Pratik Misra, Liam Solus (2023). Combinatorial and algebraic perspectives on the marginal independence structure of Bayesian networks. Algebraic Statistics (14), no 2, 233-286.
   https://arxiv.org/abs/2210.00822

5. Jane Ivy Coons, Aida Maraj, Pratik Misra, Miruna-Stefana Sorea (2023). Symmetrically colored Gaussian graphical models with toric vanishing ideals. SIAM Journal of Applied Algebra and Geometry (7), 133-158. doi: 10.1137/21M1466943.
   https://arxiv.org/abs/2111.14817

6. Pratik Misra, Seth Sullivant (2022). Directed Gaussian graphical models with toric vanishing ideals. Advances in Applied Mathematics (138), Paper No. 102345.
   https://arxiv.org/abs/2105.13357

7. Pratik Misra, Seth Sullivant (2020). Gaussian graphical models with toric vanishing ideals. Annals of the Institute of Statistical Mathematics (73), no.4, 757-785.
   https://arxiv.org/abs/1912.02265

8. Pratik Misra, Seth Sullivant. Bounds on the expected size of the maximum agreement subtree for a given tree shape (2019). SIAM Journal on Discrete Mathematics (33), no.4 2316-2325.
   https://arxiv.org/abs/1809.04488

Conference Proceedings

1. Alex Markham, Danai Deligeorgaki, Pratik Misra, Liam Solus (2022). A transformational characterization of unconditionally equivalent Bayesian networks. Proceedings of The 11th International Conference on Probabilistic Graphical Models, PMLR (186), 109-120.
   https://arxiv.org/abs/2203.00521

Preprints

1. Hannah Göbel, Pratik Misra (2025). Linear relations of colored Gaussian cycles.
   https://arxiv.org/pdf/2506.23936v1

2. Xudong Sun, Alex Markham, Pratik Misra, Carsten Marr (2024). Addressing pitfalls in implicit unobserved confounding synthesis using block hierarchical ancestral sampling.
   https://arxiv.org/abs/2503.09194

3. Tobias Boege, Kaie Kubjas, Pratik Misra, Liam Solus (2024). Colored Gaussian DAG models. (Revisions sent to Journal of Royal Statistical Society Series B).
   https://arxiv.org/abs/2404.04024
   
   

In preparation

1. Carlos Amendola, Tobias Boege, Ben Hollering, Pratik Misra. Structural identifiability in continuous Lyapunov models. 

2. Alex Markham, Pratik Misra. Learning coarsened causal DAG models.