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In Chapter 2, we give some combinatorial observations on the structure of the Turnpike problem. For example, we give a system of equations to infer the number of odd and even coor-dinates in the …
The Turnpike reconstruction problem is to reconstruct a point set from the distances. This finds applications in physics and molecular biology (see the references for pointers to more specific …
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Generalized Turnpike reconstruction problem - Mathematics ...
Jun 11, 2025 · In the turnpike problem, we are asked to reconstruct the original set of points given their differences; on the other hand, here we essentially know the ordering of their differences, so the …
The turnpike reconstruction problem: reconstruct the points from the distances bag. Input a graph G, the goal is to find a permutation of the vertices on a line that minimize the maximum length of any edge.
Approximate and Exact Optimization Algorithms for the ...
Our algorithm allows for efficient, scalable solutions to the T urnpike problem that can accommodate large distance sets with realistic levels of uncertainty, opening up new avenues of research into its …
Solving the noisy turnpike and beltway problems - GitHub
2 days ago · The beltway problem tries to reconstruct the locations of a set of points that lie on a loop from their unassigned pairwise diatances. This package …
We propose the Multidimensional Intersection Sparse Phase Retrieval (MISTR) algorithm for solving the turnpike problem in dimension D 2. By taking advantage of the structure of multiple dimensions, we …
A SCALABLE PARALLEL ALGORITHM FOR TURNPIKE ...
Jan 1, 2018 · Although no polynomial algorithm for this problem is known, a simple backtracking algorithm of Skiena et al. works well in practice. Weiss raises the …
One algorithm for turnpike reconstruction problem?
Jul 8, 2010 · The turnpike reconstruction problem is to reconstruct a point set from the distances. This finds applications in physics and molecular biology (see the references for pointers to more specific …
A Scalable Optimization Algorithm for Solving the Beltway ...
May 17, 2024 · To alleviate both issues, we propose a novel alternating optimization algorithm that can scale to large, uncertain distance sets with as many as 100,000 points.
