19 citations · 187 across the 74 of their papers we have counts for
95 papers
VC Dimension and Expressivity of Real-Valued Transformers
Gavin Dooley, Andy Yang, Yijia Jessica Zhu +3
Whereas previous results on abilities and limitations of transformers have restricted the definition of transformers in various ways, here we study softmax-attention, multi-layer t…
Identifiable specializations for ODE models
Alexey Ovchinnikov, Anand Pillay, Gleb Pogudin +1
The parameter identifiability problem for a dynamical system is to determine whether the parameters of the system can be found from data for the outputs of the system. Verifying wh…
Compactifications of pseudofinite and pseudo-amenable groups
Gabriel Conant, Ehud Hrushovski, Anand Pillay
We first give simplified and corrected accounts of some results in \cite{PiRCP} on compactifications of pseudofinite groups. For instance, we use a classical theorem of Turing \cit…
Picard-Vessiot extensions, linear differential algebraic groups and their torsors
David Meretzky, Anand Pillay
Let K be differential field with algebraically closed field of constants. Let K^diff be a differential closure of K, and L the (iterated) Picard-Vessiot closure of K inside K^diff.…
Forking and invariant measures in NIP theories
Anand Pillay, Atticus Stonestrom
We give an example of an NIP theory in which there is a formula that does not fork over but has measure under any global -invariant Keisler measu…
On definable groups and D-group in certain fields with a generic derivation
Ya'acov Peterzil, Anand Pillay, Francoise Point
We continue our earlier study of finite dimensional definable groups in models of the the model companion of an o-minimal L-theory T expanded by a generic derivation as in [F-K]. W…