fenchel-y oung loss
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If you are looking for an answer to the question What is Artificial Intelligence? and you only have a minute, then here's the definition the Association for the Advancement of Artificial Intelligence offers on its home page: "the scientific understanding of the mechanisms underlying thought and intelligent behavior and their embodiment in machines."
However, if you are fortunate enough to have more than a minute, then please get ready to embark upon an exciting journey exploring AI (but beware, it could last a lifetime) …
Learning with Fitzpatrick Losses
Neural Information Processing Systems
Fenchel-Y oung losses are a family of loss functions, encompassing the squared, logistic and sparsemax losses, among others. They are convex w.r.t. the model
- Europe > France > Île-de-France > Paris > Paris (0.04)
- South America > Brazil (0.04)
- North America > United States > Georgia > Chatham County > Savannah (0.04)
- North America > United States > California > San Diego County > San Diego (0.04)
- Information Technology > Artificial Intelligence > Natural Language (1.00)
- Information Technology > Artificial Intelligence > Representation & Reasoning > Optimization (0.93)
- Information Technology > Artificial Intelligence > Machine Learning > Neural Networks > Deep Learning (0.68)
- Information Technology > Artificial Intelligence > Machine Learning > Statistical Learning > Clustering (0.68)
- Asia > Middle East > Jordan (0.04)
- Europe > United Kingdom > England > Cambridgeshire > Cambridge (0.04)
- Europe > France > Île-de-France > Paris > Paris (0.05)
- North America > United States > California (0.04)
- North America > Canada (0.04)
- (2 more...)
Learning with Fitzpatrick Losses
Neural Information Processing Systems
Fenchel-Y oung losses are a family of loss functions, encompassing the squared, logistic and sparsemax losses, among others. They are convex w.r.t. the model
Overleaf Example
Neural Information Processing Systems
This allows us to include clustering in end-to-end trainable pipelines, with efficient gradients.
- Europe > France > Île-de-France > Paris > Paris (0.04)
- South America > Brazil (0.04)
- North America > United States > Georgia > Chatham County > Savannah (0.04)
- North America > United States > California > San Diego County > San Diego (0.04)
- Information Technology > Artificial Intelligence > Natural Language (1.00)
- Information Technology > Artificial Intelligence > Representation & Reasoning > Optimization (0.93)
- Information Technology > Artificial Intelligence > Machine Learning > Neural Networks > Deep Learning (0.68)
- Information Technology > Artificial Intelligence > Machine Learning > Statistical Learning > Clustering (0.68)
Structured Prediction with Projection Oracles
Neural Information Processing Systems
We identify the marginal polytope, the output space's convex hull,
- Information Technology > Artificial Intelligence > Machine Learning > Statistical Learning (0.68)
- Information Technology > Artificial Intelligence > Machine Learning > Supervised Learning (0.52)
- Information Technology > Artificial Intelligence > Machine Learning > Inductive Learning (0.52)
- Information Technology > Artificial Intelligence > Machine Learning > Neural Networks (0.47)
