9 citations · 26 across the 18 of their papers we have counts for
4 papers · 1 filter
Constructive approximate transport maps with normalizing flows
Antonio Álvarez-López, Borjan Geshkovski, Domènec Ruiz-Balet
We study an approximate controllability problem for the continuity equation and its application to constructing transport maps with normalizing flows. Specifically, we construct ti…
On the number of modes of Gaussian kernel density estimators
Borjan Geshkovski, Philippe Rigollet, Yihang Sun
We consider the Gaussian kernel density estimator with bandwidth of iid Gaussian samples. Using the Kac-Rice formula and an Edgeworth expansion, we prove that th…
Measure-to-measure interpolation using Transformers
Borjan Geshkovski, Philippe Rigollet, Domènec Ruiz-Balet
Transformers are deep neural network architectures that underpin the recent successes of large language models. Unlike more classical architectures that can be viewed as point-to-p…
Dynamic metastability in the self-attention model
Borjan Geshkovski, Hugo Koubbi, Yury Polyanskiy +1
We consider the self-attention model - an interacting particle system on the unit sphere, which serves as a toy model for Transformers, the deep neural network architecture behind…