Ruchi Sandilya

I am a postdoctoral researcher in the Grosenick Lab at Weill Cornell Medicine, working at the intersection of applied mathematics, control theory, and scientific machine learning. My research develops mathematically grounded machine learning methods to model and control complex dynamical systems in the physical and biological sciences.

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Publications

Research

CV

Peer-Reviewed Publications

Scientific Machine Learning

  1. Sandilya, R., Perez, S., Lynch, C., Victoria, L., Zebley, B., Buchanan, D. M., Bhati, M. T., Williams, N., Spellman, T., Gunning, F. M., Liston, C., & Grosenick, L. (2025).
    Contrastive Diffusion Alignment: Learning Structured Latents for Controllable Generation.
    arXiv preprint arXiv:2510.14190.

  2. Nkansah, I., Gallagher, N., Sandilya, R., Liston, C., & Grosenick, L. (2024).
    Generalizing CNNs to Graphs with Learnable Neighborhood Quantization.
    The Thirty-eighth Annual Conference on Neural Information Processing Systems (NeurIPS).
    GitHub Code

Numerical Analysis, Optimal Control & Scientific Computing

  1. Chandrashekar, P., Ramaswamy, M., Raymond, J. P., & Sandilya, R. (2021)†.
    Numerical stabilization of the Boussinesq system using boundary feedback control.
    Computers & Mathematics with Applications, 89, 163–183.
    GitHub Code

  2. Kumar, S., Oyarzúa, R., Ruiz-Baier, R., & Sandilya, R. (2020)†.
    Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity.
    ESAIM: Mathematical Modelling and Numerical Analysis, 54(1), 273–299.

  3. Sandilya, R., George, R. K., & Kumar, S. (2020).
    Trajectory controllability of a semilinear parabolic system.
    The Journal of Analysis, 28, 107–115.

  4. Kumar, S., Ruiz-Baier, R., & Sandilya, R. (2019)†.
    Error bounds for discontinuous finite volume discretisations of Brinkman optimal control problems.
    Journal of Scientific Computing, 78, 64–93.

  5. Kumar, S., Ruiz-Baier, R., & Sandilya, R. (2018)†.
    Mixed and discontinuous finite volume element schemes for the optimal control of immiscible flow in porous media.
    Computers & Mathematics with Applications, 76(4), 923–937.

  6. Sandilya, R., & Kumar, S. (2017).
    A discontinuous interpolated finite volume approximation of semilinear elliptic optimal control problems.
    Numerical Methods for Partial Differential Equations, 33(6), 2090–2113.

  7. Kumar, S., Ruiz-Baier, R., & Sandilya, R. (2017)†.
    Discontinuous finite volume element methods for the optimal control of Brinkman equations.
    In International Conference on Finite Volumes for Complex Applications (pp. 307–315). Springer.

  8. Sandilya, R., & Kumar, S. (2016).
    Convergence of discontinuous finite volume discretizations for a semilinear hyperbolic optimal control problem.
    International Journal of Numerical Analysis and Modeling, 13(6), 926–950.

  9. Sandilya, R., & Kumar, S. (2016).
    On discontinuous finite volume approximations for semilinear parabolic optimal control problems.
    International Journal of Numerical Analysis and Modeling, 13(4).

  10. Sandilya, R., & Kumar, S. (2016).
    Convergence analysis of discontinuous finite volume methods for elliptic optimal control problems.
    International Journal of Computational Methods, 13(02), 1640012.

  11. Sandilya, R., & Kumar, S. (2015).
    Discontinuous finite volume methods for parabolic optimal control problems.
    Mathematical Sciences International Research Journal, 4(2), 15–22.

  12. Sandilya, R., & Kumar, S. (2014).
    Discontinuous Galerkin finite volume element methods for elliptic optimal control problems.
    In Proceedings of International Conference on Computational Methods (pp. 41–49).

† Authors listed in alphabetical order.

Invited Talks And Conference Presentations

  • Nov 2023: Integrable Systems & Nonlinear Mechanics, TAMUCC, Texas, USA
  • Aug 2023: Mathematical Sciences, University of Alabama in Huntsville, USA
  • Sep 2021: Mathematics Seminar, CUA, Washington, D.C.
  • July 2021: UNC Greensboro PDE Conference, North Carolina, USA
  • May 2020: The Computational and Applied Math Seminar, Oak Ridge National Laboratory, USA
  • Aug 2019: 6th International Conference on Continuous Optimization, Technical University Berlin, Germany
  • Jul 2019: 9th International Congress on Industrial and Applied Mathematics, University of Valencia, Spain
  • Nov 2018: Conference on Celebrating 75 years of Mathematics of Computation, ICERM, Brown University, USA
  • Jun 2017: Conference on Recent advances in PDEs: Theory, Computations and Applications, IIT Bombay, India
  • Dec 2016: International Conference on Recent Advances in Theoretical and Computational PDEs with Applications, Panjab University, India
  • Nov 2016: International Conference on Mathematical Analysis and its Applications, IIT Roorkee, India
  • Jun 2016: Conference on Mathematics of Finite Elements and Applications, Brunel University, London, UK
  • Dec 2015: International Conference on Current Trends in PDEs: Theory and Computations, South Asian University, India
  • Nov 2015: International Conference on Mathematics, University of Kerala, India. Received best presentation award

Summits

  • Jan 2023: HPE and NVIDIA Data Science Summit, NYC, USA
  • Apr 2021: Safety and Security of Deep Learning, ICERM, Brown University, USA