217 citations · 734 across the 24 of their papers we have counts for
24 papers
Stochastic activation in a genetic switch model
John Hertz, Joanna Tyrcha, Alvaro Correales
We study a biological autoregulation process, involving a protein that enhances its own transcription, in a parameter region where bistability would be present in the absence of fl…
Path integral methods for the dynamics of stochastic and disordered systems
John A. Hertz, Yasser Roudi, Peter Sollich
We review some of the techniques used to study the dynamics of disordered systems subject to both quenched and fast (thermal) noise. Starting from the Martin-Siggia-Rose path integ…
Belief-Propagation and replicas for inference and learning in a kinetic Ising model with hidden spins
Claudia Battistin, John Hertz, Joanna Tyrcha +1
We propose a new algorithm for inferring the state of hidden spins and reconstructing the connections in a synchronous kinetic Ising model, given the observed history. Focusing on…
Cumulants of Hawkes point processes
Stojan Jovanović, John Hertz, Stefan Rotter
We derive explicit, closed-form expressions for the cumulant densities of a multivariate, self-exciting Hawkes point process, generalizing a result of Hawkes in his earlier work on…
Network Inference with Hidden Units
Joanna Tyrcha, John Hertz
We derive learning rules for finding the connections between units in stochastic dynamical networks from the recorded history of a ``visible'' subset of the units. We consider two…
L Regularization for Reconstruction of a non-equilibrium Ising Model
Hong-Li Zeng, John Hertz, Yasser Roudi
The couplings in a sparse asymmetric, asynchronous Ising network are reconstructed using an exact learning algorithm. L regularization is used to remove the spurious weak conne…