Search Results for author: Ionel Popescu

Found 12 papers, 0 papers with code

Interpolation property of shallow neural networks

no code implementations20 Apr 2023 Vlad-Raul Constantinescu, Ionel Popescu

We study the geometry of global minima of the loss landscape of overparametrized neural networks.

From Monte Carlo to neural networks approximations of boundary value problems

no code implementations3 Sep 2022 Lucian Beznea, Iulian Cimpean, Oana Lupascu-Stamate, Ionel Popescu, Arghir Zarnescu

As a second goal, we show that the obtained Monte Carlo solver renders { in a constructive way} ReLU deep neural network (DNN) solutions to Poisson problem, whose sizes depend at most polynomialy in the dimension $d$ and in the desired error.

LoCoV: low dimension covariance voting algorithm for portfolio optimization

no code implementations1 Apr 2022 Juntao Duan, Ionel Popescu

Minimum-variance portfolio optimizations rely on accurate covariance estimator to obtain optimal portfolios.

Portfolio Optimization

Inverse problem for parameters identification in a modified SIRD epidemic model using ensemble neural networks

no code implementations28 Feb 2022 Marian Petrica, Ionel Popescu

Lastly we use the ensemble to get estimates of the parameters from the real data of Covid19 in Romania and then we illustrate the predictions for different periods of time, from 10 up to 45 days, for the number of deaths.

Recover the spectrum of covariance matrix: a non-asymptotic iterative method

no code implementations1 Jan 2022 Juntao Duan, Ionel Popescu, Heinrich Matzinger

It is well known the sample covariance has a consistent bias in the spectrum, for example spectrum of Wishart matrix follows the Marchenko-Pastur law.

Invariance principle of random projection for the norm

no code implementations1 Dec 2021 Juntao Duan, Ionel Popescu, Heinrich Matzinger

In particular we prove the distribution of the norm of random vector $X \in \mathbb{R}^n$, whose entries are i. i. d.

A regime switching on Covid19 analysis and prediction in Romania

no code implementations27 Jul 2020 Marian Petrica, Radu D. Stochitoiu, Marius Leordeanu, Ionel Popescu

The second issue is that there were many factors which affected the evolution of the pandemic.

A self-supervised neural-analytic method to predict the evolution of COVID-19 in Romania

no code implementations23 Jun 2020 Radu D. Stochiţoiu, Marian Petrica, Traian Rebedea, Ionel Popescu, Marius Leordeanu

More specifically, we want to statistically estimate all the relevant parameters for the new coronavirus COVID-19, such as the reproduction number, fatality rate or length of infectiousness period, based on Romanian patients, as well as be able to predict future outcomes.

Averaging plus Learning Models and Their Asymptotics

no code implementations17 Apr 2019 Ionel Popescu, Tushar Vaidya

We develop original models to study interacting agents in financial markets and in social networks.

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