Metrics Space and Norm: Taxonomy to Distance Metrics

Following Paths in Task Space: Distance Metrics and Planning Algorithms

Many of our everyday jobs we imagine robots accomplishing are defined via a variety of task-specific constraints. In order for robots to perform these tasks, the robot’s motion planners must respect these constraints. While a robotic manipulator moves and plans in its joint or configuration space, many constraints are naturally defined in task space. We focus on the specific constraint asking t...

Distance Metrics and Data Transformation

2 Distance metrics and similarity measures 2 2.1 Distance metrics . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.2 Vector norm and metric . . . . . . . . . . . . . . . . . . . . . . . 3 2.3 The `p norm and `p metric . . . . . . . . . . . . . . . . . . . . . 3 2.4 Distance metric learning . . . . . . . . . . . . . . . . . . . . . . . 6 2.5 The mean as a similarity measure . . . . . . ...

Distance metrics and data transformations

1 Distance metrics and similarity measures 2 1.1 Distance metrics . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Vector norm and metric . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 The `p norm and `p metric . . . . . . . . . . . . . . . . . . . . . 4 1.4 Distance metric learning . . . . . . . . . . . . . . . . . . . . . . . 7 1.5 The mean as a similarity measure . . . . . . ...

Discovering Metrics and Scale Space

Distance Metrics in the Internet

We consider and compare four Internet distance metrics and analyze the predictive power of these metrics in selecting, from a given source, the lowest latency destination from among a candidate set. The four metrics are: IP path length; autonomous system (AS) path length; great circle geographic distance; and previously measured round trip time (RTT). We describe general properties of these fou...