5 citations · 10 across the 8 of their papers we have counts for
10 papers
Uniform Generalization Bounds for Overparameterized Neural Networks
Sattar Vakili, Michael Bromberg, Jezabel Garcia +2
An interesting observation in artificial neural networks is their favorable generalization error despite typically being extremely overparameterized. It is well known that the clas…
How to distribute data across tasks for meta-learning?
Alexandru Cioba, Michael Bromberg, Qian Wang +5
Meta-learning models transfer the knowledge acquired from previous tasks to quickly learn new ones. They are trained on benchmarks with a fixed number of data points per task. This…
Cyclic orthogonal convolutions for long-range integration of features
Federica Freddi, Jezabel R Garcia, Michael Bromberg +4
In Convolutional Neural Networks (CNNs) information flows across a small neighbourhood of each pixel of an image, preventing long-range integration of features before reaching deep…
A temporal Central Limit Theorem for real-valued cocycles over rotations
Michael Bromberg, Corinna Ulcigrai
We consider deterministic random walks on the real line driven by irrational rotations, or equivalently, skew product extensions of a rotation by where the skewing cocycle is a…
Rational ergodicity of Step function Skew Products
Jon. Aaronson, Michael Bromberg, Nishant Chandgotia
We study rational step function skew products over certain rotations of the circle proving ergodicity and bounded rational ergodicity when rotation number is a quadratic irrational…
Discrepancy Skew Products and Affine Random Walks
Jon. Aaronson, Michael Bromberg, Hitoshi Nakada
We prove bounded rational ergodicity for some discrepancy skew products whose rotation number has bad rational approximation. This is done by considering the asymptotics of associa…
Ergodic Properties of the Random Walk Adic Transformation over the Beta Transformation
Michael Bromberg
We define a random walk adic transformation associated to an aperiodic random walk on driven by a -transformation and study its ergodic…
Invariance principle for local time by quasi-compactness
Michael Bromberg
The objective of this paper is to prove a functional weak invariance principle for a local time of a process of the form where …
Weak invariance principle for the local times of Gibbs-Markov processes
Michael Bromberg
The subject of this paper is to prove a functional weak invariance principle for the local time of a process generated by a Gibbs-Markov map. More precisely, let $\left(X,\mathcal{…
Weak invariance principle for the local times of partial sums of Markov Chains
Michael Bromberg, Zemer Kosloff
Let X_{n} be an integer valued Markov Chain with finite state space. Let S_{n}=\sum_{k=0}^{n}X_{k} and let L_{n}(x) be the number of times S_{k} hits x up to step n. Define the nor…