Yuliy Baryshnikov

About

Yuliy Baryshnikov is the Fredric G. and Elizabeth H. Nearing Professor in the Department of Electrical and Computer Engineering at the University of Illinois, with additional professorships in Mathematics, the Coordinated Science Lab, and the Beckman Institute for Advanced Science and Technology. His research interests encompass applied topology, stochastic models, dynamical systems, and analytic combinatorics. Baryshnikov's work integrates mathematical theory with practical applications, focusing on areas such as asymptotics, combinatorics, Gaussian distributions, sensor networks, inverse problems, generating functions, asymptotic normality, and stochastics. He has contributed extensively to the scholarly community, with a significant number of peer-reviewed articles and conference contributions that explore complex mathematical and computational phenomena. His office is located in the Department of Mathematics at the University of Illinois, Urbana, where he continues to advance research at the intersection of mathematics and engineering.

Research topics

• Computer Science
• Artificial Intelligence
• Mathematics
• Speech recognition
• Geometry
• Psychology
• Pure mathematics
• Combinatorics
• Neuroscience
• Physics

Selected publications

• Comparing Cyclicity Analysis With Pre-established Functional Connectivity Methods to Identify Individuals and Subject Groups Using Resting State fMRI

  Frontiers in Computational Neuroscience · 2020 · 11 citations

  The resting state fMRI time series appears to have cyclic patterns, which indicates presence of cyclic interactions between different brain regions. Such interactions are not easily captured by pre-established resting state functional connectivity methods including zero-lag correlation, lagged correlation, and dynamic time warping distance. These methods formulate the functional interaction between different brain regions as similar temporal patterns within the time series. To use information re…

  DOI

• Topological perplexity of feedback stabilization

  Journal of Applied and Computational Topology · 2022 · 10 citations

  1st authorCorresponding
  PublisherDOI

• CurveQuad: A Centimeter-Scale Origami Quadruped that Leverages Curved Creases to Self-Fold and Crawl with One Motor

  2023-10-01 · 7 citations

  articleOpen access

  We present CurveQuad, a miniature curved origami quadruped that is able to self-fold and unfold, crawl, and steer, all using a single actuator. CurveQuad is designed for planar manufacturing, with parts that attach and stack sequentially on a flat body. The design uses 4 curved creases pulled by 2 pairs of tendons from opposite ends of a link on a 270°servo. It is 8 cm in the longest direction and weighs 10.9 g. Rotating the horn pulls the tendons inwards to induce folding. Continuing to rotate…

  PublisherOA PDFDOI

• Asymptotics of multivariate sequences in the presence of a lacuna

  Annales de l’Institut Henri Poincaré D Combinatorics Physics and their Interactions · 2024-01-23 · 3 citations

  articleOpen access1st authorCorresponding

  We explain a discontinuous drop in the exponential growth rate for certain multivariate generating functions at a critical parameter value in even dimensions d \geq 4 . This result depends on computations in the homology of the algebraic variety where the generating function has a pole. These computations are similar to, and inspired by, a thread of research in applications of complex algebraic geometry to hyperbolic PDEs, going back to Leray, Petrowski, Atiyah, Bott and Gårding. As a consequenc…

  PublisherOA PDFDOI

• Asymptotics of Multivariate Sequences IV: Generating Functions with Poles on a Hyperplane Arrangement

  Annals of Combinatorics · 2023-06-13 · 3 citations

  article1st author
  PublisherDOI

Recent grants

• Collaborative Research: Topological Invariants for Enhanced Data Analysis

  NSF · $190k · 2016–2020

Frequent coauthors

• Robin Pemantle

  19 shared

• Robert Ghrist

  17 shared

• E. G. Coffman

  Columbia University

  14 shared

• Bennett Eisenberg

  Lehigh University

  13 shared

• Stephen Melczer

  École Normale Supérieure de Lyon

  11 shared

• Wolfgang Stadje

  Osnabrück University

  10 shared

• J. E. Yukich

  Lehigh University

  10 shared

• Ed Coffman

  7 shared

Awards & honors

• Arthur B. Coble Memorial Lectures

Similar researchers at University of Illinois Urbana-Champaign

• Christopher Doddh-60
• Jozsef Baloghh-43
• William Yun Chenh-40