Search Results for author: Khalil Elkhalil

Found 7 papers, 2 papers with code

Characteristic Neural Ordinary Differential Equations

no code implementations25 Nov 2021 Xingzi Xu, Ali Hasan, Khalil Elkhalil, Jie Ding, Vahid Tarokh

While NODEs model the evolution of a latent variables as the solution to an ODE, C-NODE models the evolution of the latent variables as the solution of a family of first-order quasi-linear partial differential equations (PDEs) along curves on which the PDEs reduce to ODEs, referred to as characteristic curves.

Computational Efficiency Density Estimation

Generative Archimedean Copulas

1 code implementation22 Feb 2021 Yuting Ng, Ali Hasan, Khalil Elkhalil, Vahid Tarokh

We propose a new generative modeling technique for learning multidimensional cumulative distribution functions (CDFs) in the form of copulas.

Computational Efficiency

Modeling Extremes with d-max-decreasing Neural Networks

no code implementations17 Feb 2021 Ali Hasan, Khalil Elkhalil, Yuting Ng, Joao M. Pereira, Sina Farsiu, Jose H. Blanchet, Vahid Tarokh

We propose a novel neural network architecture that enables non-parametric calibration and generation of multivariate extreme value distributions (MEVs).

Fisher Auto-Encoders

no code implementations12 Jul 2020 Khalil Elkhalil, Ali Hasan, Jie Ding, Sina Farsiu, Vahid Tarokh

It has been conjectured that the Fisher divergence is more robust to model uncertainty than the conventional Kullback-Leibler (KL) divergence.

Improved Design of Quadratic Discriminant Analysis Classifier in Unbalanced Settings

no code implementations11 Jun 2020 Amine Bejaoui, Khalil Elkhalil, Abla Kammoun, Mohamed Slim Alouni, Tarek Al-Naffouri

The use of quadratic discriminant analysis (QDA) or its regularized version (R-QDA) for classification is often not recommended, due to its well-acknowledged high sensitivity to the estimation noise of the covariance matrix.

General Classification

Risk Convergence of Centered Kernel Ridge Regression with Large Dimensional Data

no code implementations19 Apr 2019 Khalil Elkhalil, Abla Kammoun, Xiangliang Zhang, Mohamed-Slim Alouini, Tareq Al-Naffouri

This paper carries out a large dimensional analysis of a variation of kernel ridge regression that we call \emph{centered kernel ridge regression} (CKRR), also known in the literature as kernel ridge regression with offset.

regression

A Large Dimensional Study of Regularized Discriminant Analysis Classifiers

1 code implementation1 Nov 2017 Khalil Elkhalil, Abla Kammoun, Romain Couillet, Tareq Y. Al-Naffouri, Mohamed-Slim Alouini

This article carries out a large dimensional analysis of standard regularized discriminant analysis classifiers designed on the assumption that data arise from a Gaussian mixture model with different means and covariances.

valid

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