Publications

Preprints

1. Conditional independence in stationary diffusion equations
   Tobias Boege, Mathias Drton, Benjamin Hollering, Sarah Lumpp, Pratik Misra, Daniela Schkoda.
   (Submitted to Probability Theory and Related Fields).
   https://arxiv.org/abs/2408.00583v1 (2024)
2. Faithlessness in Gaussian graphical models
   Mathias Drton, Leonard Henckel, Benjamin Hollering, Pratik Misra.
   (Revisions requested by Bernoulli).
   https://arxiv.org/abs/2404.05306 (2024)
3. Colored Gaussian DAG models
   Tobias Boege, Kaie Kubjas, Pratik Misra, Liam Solus.
   (Under review in Journal of Royal Statistical Society Series B).
   https://arxiv.org/abs/2404.04024 (2024)

Journal and Conference Papers

1. Homaloidal polynomials and Gaussian models with maximum likelihood degree one
   Shelby Cox, Pratik Misra, Pardis Semnani.
   (Accepted in Algebraic Statistics).
   https://arxiv.org/pdf/2402.06090 (2024) 
2. Combinatorial and algebraic perspectives on the marginal independence structure of Bayesian networks
   Danai Deligeorgaki, Alex Markham, Pratik Misra, Liam Solus.
   Algebraic Statistics (14) (2023) no. 2, 233-286
   https://arxiv.org/abs/2210.00822
3. Symmetrically colored Gaussian graphical models with toric vanishing ideal
   Jane Ivy Coons, Aida Maraj, Pratik Misra, Miruna-Stefana Sorea.
   SIAM Journal of Applied Algebra and Geometry (7) (2022), 133-158. doi: 10.1137/21M1466943
   https://arxiv.org/abs/2111.14817
4. A transformational characterization of unconditionally equivalent Bayesian networks
   Alex Markham, Danai Deligeorgaki, Pratik Misra, Liam Solus.
   Proceedings of The 11th International Conference on Probabilistic Graphical Models, PMLR (186) (2022), 109-120
   https://arxiv.org/abs/2203.00521
5. Directed Gaussian Graphical models with toric vanishing ideals
   Pratik Misra, Seth Sullivant.
   Advances in Applied Mathematics (138) (2022)  no. 102345
   https://arxiv.org/abs/2105.13357    
6. Gaussian Graphical models with toric vanishing ideals
   Pratik Misra, Seth Sullivant.
   Annals of the Institute of Statistical Mathematics (73) (2021) no. 4, 757-785
   https://arxiv.org/abs/1912.02265
7. Bounds on the expected size of the maximum agreement subtree for a given tree shape
   Pratik Misra, Seth Sullivant.
   SIAM Journal on Discrete Mathematics (33) (2019) no. 4, 2316-2325
   https://arxiv.org/abs/1809.04488

IN PREPARATION

1. Algebraic properties of continuous Lyapunov models.
   Carlos Amendola, Tobias Boege, Ben Hollering, Pratik Misra.