# Geodesic convexity

## Papers overview

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2016

2016

- COLT
- 2016

Geodesic convexity generalizes the notion of (vector space) convexity to nonlinear metric spaces. But unlike convex optimization… (More)

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2012

2012

- IEEE Transactions on Signal Processing
- 2012

Geodesic convexity is a generalization of classical convexity which guarantees that all local minima of g-convex functions are… (More)

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2012

2012

- 2012

We study a new notion of Ricci curvature that applies to Markov chains on discrete spaces. This notion relies on geodesic… (More)

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2011

2011

- 2011

We consider finite-dimensional, time-continuous Markov chains satisfying the detailed balance condition as gradient systems with… (More)

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Highly Cited

2007

Highly Cited

2007

- IEEE Transactions on Medical Imaging
- 2007

In medical imaging, parameterized 3-D surface models are useful for anatomical modeling and visualization, statistical… (More)

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2004

2004

- 2004

In this work we investigate the behavior of various geodesic convexity parameters with respect to the Cartesian product operation… (More)

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1999

1999

- 1999

Consider a closed subset of a complete Riemannian manifold, such that all geodesics with end-points in the subset are contained… (More)

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1998

1998

- 1998

Consider a closed subset of a Riemannian manifold, such that all geodesics with end-points in the subset are contained in the… (More)

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1994

1994

- Inf. Sci.
- 1994

A pebbled graph is called “(geodesically) convex” if at least one shortest path between any two unpebbled nodes has no pebbles on… (More)

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1987

1987

- Discrete Mathematics
- 1987

A graph G is bridged if each cycle C of length at least four contains two vertices whose distance from each other in G is… (More)

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