131 citations · 462 across the 60 of their papers we have counts for
5 papers · 1 filter
Tensor-Tensor Products for Optimal Representation and Compression
Misha Kilmer, Lior Horesh, Haim Avron +1
In this era of big data, data analytics and machine learning, it is imperative to find ways to compress large data sets such that intrinsic features necessary for subsequent analys…
Communication over Continuous Quantum Secure Dialogue using Einstein-Podolsky-Rosen States
Shaokai Lin, Zichuan Wang, Lior Horesh
With the emergence of quantum computing and quantum networks, many communication protocols that take advantage of the unique properties of quantum mechanics to achieve a secure bid…
Leveraging Secondary Storage to Simulate Deep 54-qubit Sycamore Circuits
Edwin Pednault, John A. Gunnels, Giacomo Nannicini +2
In a recent paper, we showed that secondary storage can extend the range of quantum circuits that can be practically simulated with classical algorithms. Here we refine those techn…
Dynamic Graph Convolutional Networks Using the Tensor M-Product
Osman Asif Malik, Shashanka Ubaru, Lior Horesh +2
Many irregular domains such as social networks, financial transactions, neuron connections, and natural language constructs are represented using graph structures. In recent years,…
Recurrent Neural Networks in the Eye of Differential Equations
Murphy Yuezhen Niu, Lior Horesh, Isaac Chuang
To understand the fundamental trade-offs between training stability, temporal dynamics and architectural complexity of recurrent neural networks~(RNNs), we directly analyze RNN arc…