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Lyapunov exponents of the SHE for general initial data
We consider the $(1+1)$-dimensional stochastic heat equation (SHE) with multiplicative white noise and the Cole-Hopf solution of the Kardar-Parisi-Zhang (KPZ) equation. We show an exact way of…
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Human Activity Classification With Radar: Optimization and Noise Robustness With Iterative Convolutional Neural Networks Followed With Random Forests
TLDR
A novel iterative convolutional neural network strategy with an autocorrelation pre-processing instead of the traditional micro-Doppler image pre- processing to classify activities or subjects accurately is presented.
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Markov duality for stochastic six vertex model
  • Yier Lin
  • Mathematics
    Electronic Communications in Probability
  • 1 January 2019
We prove a Schutz-type self-duality for the stochastic six vertex model. We introduce a new method of inductive argument to prove the Markov duality.
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Lyapunov Exponents of the Half-Line SHE
We consider the half-line stochastic heat equation (SHE) with Robin boundary parameter $A = -\frac{1}{2}$. Under narrow wedge initial condition, we compute every positive (including non-integer)…
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Performance Analysis of Classification Algorithms for Activity Recognition Using Micro-Doppler Feature
  • Yier Lin, J. Kernec
  • Computer Science
    13th International Conference on Computational…
  • 1 December 2017
TLDR
Numerical results are compared against several classification techniques including the Linear Discriminant Analysis (LDA), Naïve Bayes (NB), K-nearest neighbors (KNN), Support Vector Machine(SVM) algorithms.
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Customer-related durability test of semi-trailer engine based on failure mode
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Short Time Large Deviations of the KPZ Equation
We establish the Freidlin--Wentzell Large Deviation Principle (LDP) for the Stochastic Heat Equation with multiplicative noise in one spatial dimension. That is, we introduce a small parameter $…
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KPZ Equation Limit of Stochastic Higher Spin Six Vertex Model
  • Yier Lin
  • Mathematics
    Mathematical Physics, Analysis and Geometry
  • 27 May 2019
We consider the stochastic higher spin six vertex (SHS6V) model introduced in [Corwin-Petrov, 2016] with general integer spin parameters $I, J$. Starting from near stationary initial condition, we…
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Elderly care: activities of daily living classification with an S band radar
TLDR
Results from the use of an S band radar for activity detection and the importance of selecting specific frequency bins to improve its suitability for human movement classification are shown.
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Lin, Y. and Le Kernec, J. (2018) Performance Analysis of Classification Algorithms for Activity Recognition using Micro-Doppler Feature. In: The 13th International Conference on Computational…
TLDR
Numerical results are compared against several classification techniques including the Linear Discriminant Analysis (LDA), Naïve Bayes (NB), K-nearest neighbors (KNN), Support Vector Machine(SVM) algorithms.
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