42 citations · 181 across the 14 of their papers we have counts for
14 papers
Non-local Field Theory from Matrix Models
Andrzej Banburski, Jaron Lanier, Vasudev Shyam +2
We show that a class of matrix theories can be understood as an extension of quantum field theory which has non-local interactions. This reformulation is based on the Wigner-Weyl t…
Neural-guided, Bidirectional Program Search for Abstraction and Reasoning
Simon Alford, Anshula Gandhi, Akshay Rangamani +6
One of the challenges facing artificial intelligence research today is designing systems capable of utilizing systematic reasoning to generalize to new tasks. The Abstraction and R…
Distribution of Classification Margins: Are All Data Equal?
Andrzej Banburski, Fernanda De La Torre, Nishka Pant +2
Recent theoretical results show that gradient descent on deep neural networks under exponential loss functions locally maximizes classification margin, which is equivalent to minim…
Biologically Inspired Mechanisms for Adversarial Robustness
Manish V. Reddy, Andrzej Banburski, Nishka Pant +1
A convolutional neural network strongly robust to adversarial perturbations at reasonable computational and performance cost has not yet been demonstrated. The primate visual ventr…
Hierarchically Compositional Tasks and Deep Convolutional Networks
Arturo Deza, Qianli Liao, Andrzej Banburski +1
The main success stories of deep learning, starting with ImageNet, depend on deep convolutional networks, which on certain tasks perform significantly better than traditional shall…
Theoretical Issues in Deep Networks: Approximation, Optimization and Generalization
Tomaso Poggio, Andrzej Banburski, Qianli Liao
While deep learning is successful in a number of applications, it is not yet well understood theoretically. A satisfactory theoretical characterization of deep learning however, is…
Theory III: Dynamics and Generalization in Deep Networks
Andrzej Banburski, Qianli Liao, Brando Miranda +4
The key to generalization is controlling the complexity of the network. However, there is no obvious control of complexity -- such as an explicit regularization term -- in the trai…
A Surprising Linear Relationship Predicts Test Performance in Deep Networks
Qianli Liao, Brando Miranda, Andrzej Banburski +2
Given two networks with the same training loss on a dataset, when would they have drastically different test losses and errors? Better understanding of this question of generalizat…
Theory IIIb: Generalization in Deep Networks
Tomaso Poggio, Qianli Liao, Brando Miranda +3
A main puzzle of deep neural networks (DNNs) revolves around the apparent absence of "overfitting", defined in this paper as follows: the expected error does not get worse when inc…
A simpler way of imposing simplicity constraints
Andrzej Banburski, Lin-Qing Chen
We investigate a way of imposing simplicity constraints in a holomorphic Spin Foam model that we recently introduced. Rather than imposing the constraints on the boundary spin netw…
Pachner moves in a 4d Riemannian holomorphic Spin Foam model
Andrzej Banburski, Lin-Qing Chen, Laurent Freidel +1
In this work we study a Spin Foam model for 4d Riemannian gravity, and propose a new way of imposing the simplicity constraints that uses the recently developed holomorphic represe…
Snyder Momentum Space in Relative Locality
Andrzej Banburski, Laurent Freidel
The standard approaches of phenomenology of Quantum Gravity have usually explicitly violated Lorentz invariance, either in the dispersion relation or in the addition rule for momen…
Twisting loops and global momentum non-conservation in Relative Locality
Andrzej Banburski
Recent work in Relative Locality has shown that the theory allows for a solution of an on-shell causal loop. We show that the theory contains a different type of a loop in which lo…
The Production and Discovery of True Muonium in Fixed-Target Experiments
Andrzej Banburski, Philip Schuster
Upcoming fixed-target experiments designed to search for new sub-GeV forces will also have sensitivity to the never before observed True Muonium atom, a bound state of a muon and a…