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Expected Complexity of Barcode Reduction. [PDF]
J Appl Comput TopolGiunti B, Houry G, Kerber M, Söls M.
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100 Years of Math Milestones, 2019
In this chapter the Gaussian random matrix ensembles are investigated. We determine their Green’s functions and show that for small energy differences a soft mode appears. As a consequence, the non-linear sigma-model is introduced and the level correlations are determined.
Franz Wegner
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In this chapter the Gaussian random matrix ensembles are investigated. We determine their Green’s functions and show that for small energy differences a soft mode appears. As a consequence, the non-linear sigma-model is introduced and the level correlations are determined.
Franz Wegner
semanticscholar +3 more sources
VeRA: Vector-based Random Matrix Adaptation
International Conference on Learning Representations, 2023Low-rank adapation (LoRA) is a popular method that reduces the number of trainable parameters when finetuning large language models, but still faces acute storage challenges when scaling to even larger models or deploying numerous per-user or per-task ...
Dawid J. Kopiczko +2 more
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Extended Object Tracking Using Random Matrix With Extension-Dependent Measurement Numbers
IEEE Transactions on Aerospace and Electronic Systems, 2023For extended object tracking (EOT), a fluctuating number of measurements are generated by a sensor at a time instant. In practice, the measurement number depends on the object extension, sensor resolution, and sensor-to-object geometry.
Jian Lan
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Tracking of Extended Object Using Random Matrix With Non-Uniformly Distributed Measurements
IEEE Transactions on Signal Processing, 2021Extended object tracking (EOT) is gaining momentum in recent years. The random matrix method is a popular EOT method, which has a simple yet effective framework.
Le Zhang, Jian Lan
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A First Course in Random Matrix Theory
, 2020The real world is perceived and broken down as data, models and algorithms in the eyes of physicists and engineers. Data is noisy by nature and classical statistical tools have so far been successful in dealing with relatively smaller levels of ...
M. Potters, J. Bouchaud
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Extended Object Tracking Using Random Matrix With Skewness
IEEE Transactions on Signal Processing, 2020For extended object tracking, the random matrix approach is a computationally efficient framework that is capable of estimating the kinematic state, and extension of the object jointly, and thus is gaining momentum in recent years. Existing random matrix
Le Zhang, Jian Lan
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2017
Random matrix theory deals with the study of matrix-valued random variables. It is conventionally considered that random matrix theory dates back to the work of Wishart in 1928 [1] on the properties of matrices of the type XX † with X ε ℂ N×n a random matrix with independent Gaussian entries with zero mean and equal variance.
Couillet, Romain, Debbah, Merouane
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Random matrix theory deals with the study of matrix-valued random variables. It is conventionally considered that random matrix theory dates back to the work of Wishart in 1928 [1] on the properties of matrices of the type XX † with X ε ℂ N×n a random matrix with independent Gaussian entries with zero mean and equal variance.
Couillet, Romain, Debbah, Merouane
openaire +1 more source