Outer Approximation of the Spectrum of a Fractal Laplacian. - Tyrus Berry; Steven M. Heilman; Robert S. Strichartz (Exp. Math., 2009)

Time-Scale Separation from Diffusion-Mapped Delay Coordinates. - Tyrus Berry; John Robert Cressman; Zrinka Greguric-Ferencek; Timothy D. Sauer (SIAM J. Appl. Dyn. Syst., 2013)

Nonparametric Uncertainty Quantification for Stochastic Gradient Flows. - Tyrus Berry; John Harlim (SIAM/ASA J. Uncertain. Quantification, 2015)

Semiparametric modeling: Correcting low-dimensional model error in parametric models. - Tyrus Berry; John Harlim (J. Comput. Phys., 2016)

Density estimation on manifolds with boundary. - Tyrus Berry; Timothy D. Sauer (Comput. Stat. Data Anal., 2017)

Diffusion Maps for Embedded Manifolds with Boundary with Applications to PDEs. - Ryan Vaughn; Tyrus Berry; Harbir Antil (CoRR, 2019)

Convergence Analysis of the Rank-Restricted Soft SVD Algorithm. - Mahendra Panagoda; Tyrus Berry; Harbir Antil (CoRR, 2021)

A Generalized Unscented Transformation for Probability Distributions. - Donald Ebeigbe; Tyrus Berry; Michael M. Norton; Andrew J. Whalen; Dan Simon; Timothy D. Sauer; Steven J. Schiff (CoRR, 2021)

A Higher Order Unscented Transform. - Deanna Easley; Tyrus Berry (SIAM/ASA J. Uncertain. Quantification, 2021)

GiDR-DUN; Gradient Dimensionality Reduction - Differences and Unification. - Andrew Draganov; Tyrus Berry; Jakob Rødsgaard Jørgensen; Katrine Scheel Nellemann; Ira Assent; Davide Mottin (CoRR, 2022)

Identifiability of Infection Model Parameters Early in an Epidemic. - Timothy D. Sauer; Tyrus Berry; Donald Ebeigbe; Michael M. Norton; Andrew J. Whalen; Steven J. Schiff (SIAM J. Control. Optim., 2022)

ActUp: Analyzing and Consolidating tSNE and UMAP. - Andrew Draganov; Jakob Rødsgaard Jørgensen; Katrine Scheel; Davide Mottin; Ira Assent; Tyrus Berry; Çigdem Aslay (IJCAI, 2023)

Learning Theory for Dynamical Systems. - Tyrus Berry; Suddhasattwa Das (SIAM J. Appl. Dyn. Syst., 2023)

Evaluating probabilistic and data-driven inference models for fiber-coupled NV-diamond temperature sensors. - Shraddha Rajpal; Zeeshan Ahmed; Tyrus Berry (CoRR, 2024)

Nonlinear Kalman Filtering in the Absence of Direct Functional Relationships Between Measurement and State. - Abdulrahman U. Alsaggaf; Maryam Saberi; Tyrus Berry; Donald Ebeigbe (IEEE Control. Syst. Lett., 2024)

On-manifold projected gradient descent. - Aaron Mahler; Tyrus Berry; Tom Stephens; Harbir Antil; Michael Merritt; Jeanie Schreiber; Ioannis G. Kevrekidis (Frontiers Comput. Sci., 2024)

Reconstruction of Network Dynamics from Partial Observations. - Tyrus Berry; Timothy D. Sauer (SIAM J. Appl. Dyn. Syst., 2025)

Limits of Learning Dynamical Systems. - Tyrus Berry; Suddhasattwa Das (SIAM Rev., 2025)