Differentiable programming tensor networks

HJ Liao, JG Liu, L Wang, T Xiang - Physical Review X, 2019 - APS
Differentiable programming is a fresh programming paradigm which composes
parameterized algorithmic components and optimizes them using gradient search. The …

Quaternion equivariant capsule networks for 3d point clouds

Y Zhao, T Birdal, JE Lenssen, E Menegatti… - European conference on …, 2020 - Springer
We present a 3D capsule module for processing point clouds that is equivariant to 3D
rotations and translations, as well as invariant to permutations of the input points. The …

Dealing with sparse rewards in reinforcement learning

J Hare - arXiv preprint arXiv:1910.09281, 2019 - arxiv.org
Successfully navigating a complex environment to obtain a desired outcome is a difficult
task, that up to recently was believed to be capable only by humans. This perception has …

Principled weight initialization for hypernetworks

O Chang, L Flokas, H Lipson - arXiv preprint arXiv:2312.08399, 2023 - arxiv.org
Hypernetworks are meta neural networks that generate weights for a main neural network in
an end-to-end differentiable manner. Despite extensive applications ranging from multi-task …

[PDF][PDF] Machine learning, linear algebra, and more: Is SQL all you need?

M Blacher, J Giesen, S Laue, J Klaus, V Leis - CIDR, 2022 - cidrdb.org
ABSTRACT SQL is the standard language for retrieving and manipulating relational data.
Although SQL is ubiquitous for simple analytical queries, it is rarely used for more complex …

A simple and efficient tensor calculus

S Laue, M Mitterreiter, J Giesen - … of the AAAI Conference on Artificial …, 2020 - ojs.aaai.org
Computing derivatives of tensor expressions, also known as tensor calculus, is a
fundamental task in machine learning. A key concern is the efficiency of evaluating the …

A probabilistic reformulation technique for discrete RIS optimization in wireless systems

A Pradhan, HS Dhillon - IEEE Transactions on Wireless …, 2023 - ieeexplore.ieee.org
The use of reconfigurable intelligent surfaces (RIS) can improve wireless communication by
modifying the wireless link to create virtual line-of-sight links, bypass blockages, suppress …

Learning to Relax: Setting Solver Parameters Across a Sequence of Linear System Instances

M Khodak, E Chow, MF Balcan, A Talwalkar - arXiv preprint arXiv …, 2023 - arxiv.org
Solving a linear system $ Ax= b $ is a fundamental scientific computing primitive for which
numerous solvers and preconditioners have been developed. These come with parameters …

Why capsule neural networks do not scale: Challenging the dynamic parse-tree assumption

M Mitterreiter, M Koch, J Giesen, S Laue - Proceedings of the AAAI …, 2023 - ojs.aaai.org
Capsule neural networks replace simple, scalar-valued neurons with vector-valued
capsules. They are motivated by the pattern recognition system in the human brain, where …

Partial information decomposition via deficiency for multivariate gaussians

P Venkatesh, G Schamberg - 2022 IEEE International …, 2022 - ieeexplore.ieee.org
Bivariate partial information decompositions (PIDs) characterize how the information in a"
message" random variable is decomposed between two" constituent" random variables in …