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cs.LG2026
Perceptrons and localization of attention's mean-field landscape
Antonio Álvarez-López, Borjan Geshkovski, Domènec Ruiz-Balet
The forward pass of a Transformer can be seen as an interacting particle system on the unit sphere: time plays the role of layers, particles that of token embeddings, and the unit…
cs.LG2025
Convergence, design and training of continuous-time dropout as a random batch method
Antonio Álvarez-López, Martín Hernández
We study continuous-time dropout in controlled differential equations. We introduce a random-batch approximation of additive vector fields. On each time interval of length , a r…