59 citations · 125 across the 7 of their papers we have counts for
7 papers
Learning from One and Only One Shot
Haizi Yu, Igor Mineyev, Lav R. Varshney +1
Humans can generalize from only a few examples and from little pretraining on similar tasks. Yet, machine learning (ML) typically requires large data to learn or pre-learn to trans…
Orbit Computation for Atomically Generated Subgroups of Isometries of
Haizi Yu, Igor Mineyev, Lav R. Varshney
Isometries are ubiquitous in nature; isometries of discrete (quantized) objects---abstracted as the group of isometries of denoted by ---…
A Group-Theoretic Approach to Computational Abstraction: Symmetry-Driven Hierarchical Clustering
Haizi Yu, Igor Mineyev, Lav R. Varshney
Abstraction plays a key role in concept learning and knowledge discovery; this paper is concerned with computational abstraction. In particular, we study the nature of abstraction…
Flows and joins of metric spaces
Igor Mineyev
We introduce the functor * which assigns to every metric space X its symmetric join *X. As a set, *X is a union of intervals connecting ordered pairs of points in X. Topologically,…
Non-microstates free entropy dimension for groups
I. Mineyev, D. Shlyakhtenko
We show that for any discrete finitely-generated group G and any self-adjoint n-tuple X_1,...,X_n of generators of the group algebra of G, Voiculescu's non-microstates free entropy…
Ideal bicombings for hyperbolic groups and applications
I. Mineyev, N. Monod, Y. Shalom
For every hyperbolic group and more general hyperbolic graphs, we construct an equivariant ideal bicombing: this is a homological analogue of the geodesic flow on negatively curved…