62 citations · 81 across the 6 of their papers we have counts for
7 papers
Functional analysis behind a Family of Multidimensional Continued Fractions: Part II
Ilya Amburg, Thomas Garrity
This paper is a direct continuation of "Functional analysis behind a Family of Multidimensional Continued Fractions: Part I," in which we started the exploration of the functional…
Hypergraph Clustering for Finding Diverse and Experienced Groups
Ilya Amburg, Nate Veldt, Austin R. Benson
When forming a team or group of individuals, we often seek a balance of expertise in a particular task while at the same time maintaining diversity of skills within each group. Her…
Clustering in graphs and hypergraphs with categorical edge labels
Ilya Amburg, Nate Veldt, Austin R. Benson
Modern graph or network datasets often contain rich structure that goes beyond simple pairwise connections between nodes. This calls for complex representations that can capture, f…
Planted Hitting Set Recovery in Hypergraphs
Ilya Amburg, Jon Kleinberg, Austin R. Benson
In various application areas, networked data is collected by measuring interactions involving some specific set of core nodes. This results in a network dataset containing the core…
Functional Analysis behind a Family of Multidimensional Continued Fractions: Part I
Ilya Amburg, Thomas Garrity
Triangle partition maps form a family that includes many, if not most, well-known multidimensional continued fraction algorithms. This paper begins the exploration of the functiona…
Stern Sequences for a Family of Multidimensional Continued Fractions: TRIP-Stern Sequences
Ilya Amburg, Krishna Dasaratha, Laure Flapan +6
The Stern diatomic sequence is closely linked to continued fractions via the Gauss map on the unit interval, which in turn can be understood via systematic subdivisions of the unit…
States that "look the same" with respect to every basis in a mutually unbiased set
Ilya Amburg, Roshan Sharma, Daniel Sussman +1
A complete set of mutually unbiased bases in a Hilbert space of dimension defines a set of orthogonal measurements. Relative to such a set, we define a "MUB-balanced stat…