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01/24/2023
Capacity Analysis of Vector Symbolic Architectures
Hyperdimensional computing (HDC) is a biologically-inspired framework wh...
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09/19/2022
Towards Quantum Advantage on Noisy Quantum Computers
Topological data analysis (TDA) is a powerful technique for extracting c...
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04/05/2022
Randomized matrix-free quadrature for spectrum and spectral sum approximation
We study randomized matrix-free quadrature algorithms for spectrum and s...
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02/10/2022
PCENet: High Dimensional Surrogate Modeling for Learning Uncertainty
Learning data representations under uncertainty is an important task tha...
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01/27/2022
Efficient Quantum Computation of the Fermionic Boundary Operator
The boundary operator is a linear operator that acts on a collection of ...
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09/16/2021
Efficient Scaling of Dynamic Graph Neural Networks
We present distributed algorithms for training dynamic Graph Neural Netw...
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08/05/2021
Quantum Topological Data Analysis with Linear Depth and Exponential Speedup
Quantum computing offers the potential of exponential speedups for certa...
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05/13/2021
Analysis of stochastic Lanczos quadrature for spectrum approximation
The cumulative empirical spectral measure (CESM) Φ[𝐀] : ℝ→ [0,1] of a n×...
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02/10/2021
Sparse graph based sketching for fast numerical linear algebra
In recent years, a variety of randomized constructions of sketching matr...
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10/13/2020
Projection techniques to update the truncated SVD of evolving matrices
This paper considers the problem of updating the rank-k truncated Singul...
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09/10/2020
Dynamic graph based epidemiological model for COVID-19 contact tracing data analysis and optimal testing prescription
In this study, we address three important challenges related to the COVI...
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06/24/2020
Multilabel Classification by Hierarchical Partitioning and Data-dependent Grouping
In modern multilabel classification problems, each data instance belongs...
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10/16/2019
Tensor Graph Convolutional Networks for Prediction on Dynamic Graphs
Many irregular domains such as social networks, financial transactions, ...
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10/08/2018
Find the dimension that counts: Fast dimension estimation and Krylov PCA
High dimensional data and systems with many degrees of freedom are often...
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08/28/2018
Spectrum-Adapted Polynomial Approximation for Matrix Functions
We propose and investigate two new methods to approximate f( A) b for la...
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06/01/2018
Run Procrustes, Run! On the convergence of accelerated Procrustes Flow
In this work, we present theoretical results on the convergence of non-c...
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11/01/2017
Sampling and multilevel coarsening algorithms for fast matrix approximations
This paper addresses matrix approximation problems for matrices that are...
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05/22/2017