Simplicial depth: An improved definition, analysis, and efficiency for the finite sample case. - Michael A. Burr; Eynat Rafalin; Diane L. Souvaine (Data Depth: Robust Multivariate Analysis, Computational Geometry and Applications, 2003)

Transformations and algorithms for least sum of squares hypersphere fitting. - Michael A. Burr; Alan C. Cheng; Ryan G. Coleman; Diane L. Souvaine (CCCG, 2004)

Searching for the Center of an Ellipse. - Michael A. Burr; Alexandra Lauric; Katelyn Mann (CCCG, 2005)

Dynamic ham-sandwich cuts in the plane. - Timothy G. Abbott; Michael A. Burr; Timothy M. Chan; Erik D. Demaine; Martin L. Demaine; John Hugg; Daniel Kane 001; Stefan Langerman; Jelani Nelson; Eynat Rafalin; Kathryn Seyboth; Vincent Yeung (Comput. Geom., 2009)

Continuous Amortization: A Non-Probabilistic Adaptive Analysis Technique. - Michael A. Burr; Felix Krahmer; Chee Yap (Electron. Colloquium Comput. Complex., 2009)

Dynamic Maintenance of Half-Space Depth for Points and Contours - Michael A. Burr; Eynat Rafalin; Diane L. Souvaine (CoRR, 2011)

Complete subdivision algorithms, II: Isotopic meshing of singular algebraic curves. - Michael A. Burr; Sung Woo Choi; Benjamin Galehouse; Chee-Keng Yap (J. Symb. Comput., 2012)

SqFreeEVAL: An (almost) optimal real-root isolation algorithm. - Michael A. Burr; Felix Krahmer (J. Symb. Comput., 2012)

Applications of Continuous Amortization to Bisection-based Root Isolation. - Michael A. Burr (CoRR, 2013)

Error Probabilities for Halfspace Depth. - Michael A. Burr; Robert Fabrizio (CoRR, 2016)

Continuous amortization and extensions: With applications to bisection-based root isolation. - Michael A. Burr (J. Symb. Comput., 2016)

The Complexity of an Adaptive Subdivision Method for Approximating Real Curves. - Michael A. Burr; Shuhong Gao; Elias P. Tsigaridas (ISSAC, 2017)

An Approach for Certifying Homotopy Continuation Paths: Univariate Case. - Juan Xu; Michael A. Burr; Chee Yap (ISSAC, 2018)

Optimal Bounds for Johnson-Lindenstrauss Transformations. - Michael A. Burr; Shuhong Gao; Fiona Knoll (J. Mach. Learn. Res., 2018)

Effective Certification of Approximate Solutions to Systems of Equations Involving Analytic Functions. - Michael A. Burr; Kisun Lee; Anton Leykin (ISSAC, 2019)

Quadratic-monomial generated domains from mixed signed, directed graphs. - Michael A. Burr; Drew J. Lipman (Int. J. Algebra Comput., 2019)

Inflation of poorly conditioned zeros of systems of analytic functions. - Michael A. Burr; Anton Leykin (CoRR, 2020)

The complexity of subdivision for diameter-distance tests. - Michael A. Burr; Shuhong Gao; Elias P. Tsigaridas (J. Symb. Comput., 2020)

Certified simultaneous isotopic approximation of pairs of curves via subdivision. - Michael A. Burr; Michael Byrd (ISSAC, 2023)

Isolating clusters of zeros of analytic systems using arbitrary-degree inflation. - Michael A. Burr; Kisun Lee; Anton Leykin (ISSAC, 2023)

Certified simultaneous isotopic approximation of algebraic curves via subdivision. - Michael A. Burr; Michael Byrd (J. Symb. Comput., 2025)

Certified algebraic curve projections by path tracking. - Michael A. Burr; Michael Byrd; Kisun Lee (CoRR, 2025)