~/writing/math-foundations-for-reasoning-models $ ls
Structured Neural Architectures
Feature Map
A feature map records where and how strongly a learned filter responds across an input.
~/writing/math-foundations-for-reasoning-models $ cat topic.md
Feature Map
Definition
A feature map is the output produced by applying a filter across an input.
Basic pattern:
input -> filter -> feature map
Each value in the feature map is a response.
A feature map shows where a learned pattern appears.
What Values Mean
A feature map value measures how strongly the filter responded at a position.
Example:
high value -> strong match
low value -> weak match
The feature map keeps this response across many positions.
Feature maps preserve pattern strength by location.
Multiple Feature Maps
A convolutional layer usually has multiple filters.
Each filter produces its own feature map.
Example:
filter 1 -> feature map 1
filter 2 -> feature map 2
filter 3 -> feature map 3
Together, these maps represent multiple learned signals.
Multiple feature maps store multiple pattern responses.
Feature Map As Representation
A feature map is an internal representation.
It is not the final answer by itself.
It gives later layers structured information.
input -> feature maps -> later layers -> output
Later layers can combine feature maps into more task-relevant representations.
Feature maps are intermediate structured representations.
Final Summary
- A feature map is produced by applying a filter across an input.
- It stores response strength at positions.
- High values mean stronger filter response.
- Multiple filters produce multiple feature maps.
- Feature maps are internal representations.
- Later layers combine feature maps into higher-level signals.
~/writing/math-foundations-for-reasoning-models $ open
Continue the series.
Recurrence