46 citations · 160 across the 23 of their papers we have counts for
5 papers · 1 filter
The dual approach to the conjecture
Giovanni Paolini
Dual presentations of Coxeter groups have recently led to breakthroughs in our understanding of affine Artin groups. In particular, they led to the proof of the conjectur…
DIVA: Dataset Derivative of a Learning Task
Yonatan Dukler, Alessandro Achille, Giovanni Paolini +3
We present a method to compute the derivative of a learning task with respect to a dataset. A learning task is a function from a training set to the validation error, which can be…
Factoring isometries of quadratic spaces into reflections
Jon McCammond, Giovanni Paolini
Let be a vector space endowed with a non-degenerate quadratic form . If the base field is different from , it is known that every isometry can be…
Estimating informativeness of samples with Smooth Unique Information
Hrayr Harutyunyan, Alessandro Achille, Giovanni Paolini +4
We define a notion of information that an individual sample provides to the training of a neural network, and we specialize it to measure both how much a sample informs the final w…
Structured Prediction as Translation between Augmented Natural Languages
Giovanni Paolini, Ben Athiwaratkun, Jason Krone +6
We propose a new framework, Translation between Augmented Natural Languages (TANL), to solve many structured prediction language tasks including joint entity and relation extractio…