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41
Duality relations and characterizations of best approximation for p-convex sets
Published 1987-08-01Get full text
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42
Computation of the Hausdorff Distance between Two Compact Convex Sets
Published 2023-10-01Subjects: “…convex set…”
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43
Duality relations and characterizations of best approximation for p-convex sets
Published 1987-08-01Get full text
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44
Graphs of Convex Sets with Applications to Optimal Control and Motion Planning
Published 2024“…We call such a graph a Graph of Convex Sets (GCS). Over a GCS we can formulate any optimization problem that we can formulate over an ordinary weighted graph, with scalar costs on the vertices and edges. …”
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Thesis -
45
Guiding Nonconvex Trajectory Optimization with Hierarchical Graphs of Convex Sets
Published 2024“…Recently, Graphs of Convex Sets (GCS) have been applied to trajectory optimization, addressing the fundamental nonconvexity with efficient online optimization over a "roadmap" represented by an approximate convex decomposition of the configuration space. …”
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46
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Time-independent generalization bounds for SGLD in non-convex settings
Published 2021“…Unlike existing bounds for SGLD in non-convex settings, ours are time-independent and decay to zero as the sample size increases. …”
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48
On Growth and Approximation of Generalized Biaxially Symmetric Potentials on Parabolic-Convex Sets
Published 2018-12-01Subjects: “…parabolic-convex set…”
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49
Triples of infinite iterations of hyperspaces of max-plus compact convex sets
Published 2016-06-01“…Geometry of the infinite iterated hyperspace of compact max-plus convex sets, their completions and compactifications is investigated.…”
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50
Generalized nesterov’s algorithm for constrained minimization problems on closed convex sets
Published 2023-12-01Subjects: Get full text
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51
Small and strong formulations for unions of convex sets from the Cayley embedding
Published 2019“…When modelling convex disjunctive constraints (e.g. unions of convex sets) this trade-off can be resolved by adding auxiliary continuous variables. …”
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52
An Application of Graph of Convex Sets Trajectory Optimization to the Marine Robotics Domain
Published 2023“…For marine environments, to save on energy a path between two points should be optimized to minimize distance traveled while remaining smooth to reduce changes in speed and account for the dynamic limits of the vehicle. The Graphs of Convex Sets (GCS) trajectory optimization motion planner from the MIT Robot Locomotion Group is a recently developed planner which has been demonstrated to return smooth and optimal paths navigating around complex environments filled with obstacles, but this planner has not been applied to marine environments. …”
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53
Design and analysis of a synthetic prediction market using dynamic convex sets
Published 2021-12-01Get full text
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54
On a theorem of V.N. Nikolski on characterization of best approximation for convex sets
Published 1990-02-01Get full text
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55
EXACT FORMULAE FOR CODERIVATIVES OF NORMAL CONE MAPPINGS TO PERTURBED POLYHEDRAL CONVEX SETS
Published 2012-06-01Subjects: “…Perturbed polyhedral convex set…”
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56
On a theorem of V.N. Nikolski on characterization of best approximation for convex sets
Published 1990-02-01Get full text
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57
Fixed points, eigenvalues and surjectivity for (ws)-compact operators on unbounded convex sets
Published 2013-01-01Get full text
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58
A multiperson pursuit problem on a closed convex set in Hilbert space
Published 2008“…A differential game of pursuit of an evader by a finite number of pursuers on a closed convex set in l 2 -space is studied. The game is described by simple differential equations and players’ controls obeyed the integral constraints. …”
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59
On geodesic strongly E-convex sets and geodesic strongly E-convex functions
Published 2015“…In this article, geodesic E-convex sets and geodesic E-convex functions on a Riemannian manifold are extended to the so-called geodesic strongly E-convex sets and geodesic strongly E-convex functions. …”
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60
Pursuit differential game of many pursuers with integral constraints on compact convex set
Published 2019“…Also, we prove some properties of convex sets.…”
Article