12 citations · 72 across the 26 of their papers we have counts for
32 papers
Remarks on DAG exchangeability and generalized wreath products
Paul Jung
Motivated by the structure of various standard statistical arrays, Bailey, Praeger, Rowley and Speed (1983) described the automorphism groups of poset block structures as generaliz…
Over-parameterised Shallow Neural Networks with Asymmetrical Node Scaling: Global Convergence Guarantees and Feature Learning
Francois Caron, Fadhel Ayed, Paul Jung +3
We consider gradient-based optimisation of wide, shallow neural networks, where the output of each hidden node is scaled by a positive parameter. The scaling parameters are non-ide…
Deep neural networks with dependent weights: Gaussian Process mixture limit, heavy tails, sparsity and compressibility
Hoil Lee, Fadhel Ayed, Paul Jung +3
This article studies the infinite-width limit of deep feedforward neural networks whose weights are dependent, and modelled via a mixture of Gaussian distributions. Each hidden nod…
-Stable convergence of heavy-tailed infinitely-wide neural networks
Paul Jung, Hoil Lee, Jiho Lee +1
We consider infinitely-wide multi-layer perceptrons (MLPs) which are limits of standard deep feed-forward neural networks. We assume that, for each layer, the weights of an MLP are…
At the edge of a one-dimensional jellium
Djalil Chafaï, David García-Zelada, Paul Jung
We consider a one-dimensional classical Wigner jellium, not necessarily charge neutral, for which the electrons are allowed to exist beyond the support of the background charge. Th…
Large deviations in the quantum quasi-1D jellium
Christian Hirsch, Sabine Jansen, Paul Jung
Wigner's jellium is a model for a gas of electrons. The model consists of unit negatively charged particles lying in a sea of neutralizing homogeneous positive charge spread ou…