activity
20162022
most citedGeodesic complexity of motion planning

6 citations · 17 across the 6 of their papers we have counts for

collaborators

7 papers

cs.CL2022★ 1 cited

Maximizing Use-Case Specificity through Precision Model Tuning

Pranjali Awasthi, David Recio-Mitter, Yosuke Kyle Sugi

Language models have become increasingly popular in recent years for tasks like information retrieval. As use-cases become oriented toward specific domains, fine-tuning becomes def…

math.GT2020★ 1 cited

Two robots moving geodesically on a tree

Donald M. Davis, Michael Harrison, David Recio-Mitter

We study the geodesic complexity of the ordered and unordered configuration spaces of graphs in both the and metrics. We determine the geodesic complexity of the…

math.GT2020★ 6 cited

Geodesic complexity of motion planning

David Recio-Mitter

We introduce the geodesic complexity of a metric space, inspired by the topological complexity of a topological space. Both of them are numerical invariants, but, while the TC only…

math.AT2019★ 3 cited

The geodesic complexity of n-dimensional Klein bottles

Donald M. Davis, David Recio-Mitter

The geodesic complexity of a metric space X is the smallest k for which there is a partition of X x X into ENRs E_0,...,E_k on each of which there is a continuous choice of minimal…

math.AT2018

Topological complexity of configuration spaces of fully articulated graphs and banana graphs

Daniel Lütgehetmann, David Recio-Mitter

In this paper we determine the topological complexity of configuration spaces of graphs which are not necessarily trees, which is a crucial assumption in previous results. We do th…

math.AT2017★ 5 cited

Topological complexity of unordered configuration spaces of surfaces

Andrea Bianchi, David Recio-Mitter

We determine the topological complexity of unordered configuration spaces on almost all punctured surfaces (both orientable and non-orientable). We also give improved bounds for th…

math.AT2016★ 1 cited

Topological complexity of subgroups of Artin's braid groups

Mark Grant, David Recio-Mitter

We consider the topological complexity of subgroups of Artin's braid group consisting of braids whose associated permutations lie in some specified subgroup of the symmetric group.…