[HTML][HTML] Signal processing on higher-order networks: Livin'on the edge... and beyond

MT Schaub, Y Zhu, JB Seby, TM Roddenberry… - Signal Processing, 2021 - Elsevier
In this tutorial, we provide a didactic treatment of the emerging topic of signal processing on
higher-order networks. Drawing analogies from discrete and graph signal processing, we …

Massively parallel computation: Algorithms and applications

S Im, R Kumar, S Lattanzi, B Moseley… - … and Trends® in …, 2023 - nowpublishers.com
The algorithms community has been modeling the underlying key features and constraints of
massively parallel frameworks and using these models to discover new algorithmic …

Submodular hypergraphs: p-laplacians, cheeger inequalities and spectral clustering

P Li, O Milenkovic - International Conference on Machine …, 2018 - proceedings.mlr.press
We introduce submodular hypergraphs, a family of hypergraphs that have different
submodular weights associated with different cuts of hyperedges. Submodular hypergraphs …

Structured optimal transport

D Alvarez-Melis, T Jaakkola… - … conference on artificial …, 2018 - proceedings.mlr.press
Optimal Transport has recently gained interest in machine learning for applications ranging
from domain adaptation to sentence similarities or deep learning. Yet, its ability to capture …

Efficient massively parallel methods for dynamic programming

S Im, B Moseley, X Sun - Proceedings of the 49th Annual ACM SIGACT …, 2017 - dl.acm.org
Modern science and engineering is driven by massively large data sets and its advance
heavily relies on massively parallel computing platforms such as Spark, MapReduce, and …

Let's Make Block Coordinate Descent Converge Faster: Faster Greedy Rules, Message-Passing, Active-Set Complexity, and Superlinear Convergence

J Nutini, I Laradji, M Schmidt - arXiv preprint arXiv:1712.08859, 2017 - arxiv.org
Block coordinate descent (BCD) methods are widely used for large-scale numerical
optimization because of their cheap iteration costs, low memory requirements, amenability to …

Parallel batch-dynamic graphs: Algorithms and lower bounds

L Dhulipala, D Durfee, J Kulkarni, R Peng… - Proceedings of the …, 2020 - SIAM
In this paper we study the problem of dynamically maintaining graph properties under
batches of edge insertions and deletions in the massively parallel model of computation. In …

Let's make block coordinate descent converge faster: faster greedy rules, message-passing, active-set complexity, and superlinear convergence

J Nutini, I Laradji, M Schmidt - Journal of Machine Learning Research, 2022 - jmlr.org
Block coordinate descent (BCD) methods are widely used for large-scale numerical
optimization because of their cheap iteration costs, low memory requirements, amenability to …

Subquadratic submodular function minimization

D Chakrabarty, YT Lee, A Sidford… - Proceedings of the 49th …, 2017 - dl.acm.org
Submodular function minimization (SFM) is a fundamental discrete optimization problem
which generalizes many well known problems, has applications in various fields, and can be …

Distributed-prover interactive proofs

S Das, R Fernando, I Komargodski, E Shi… - Theory of Cryptography …, 2023 - Springer
Interactive proof systems enable a verifier with limited resources to decide an intractable
language (or compute a hard function) by communicating with a powerful but untrusted …