Man

Karine Marie Bertin

Full profesor

Universidad de Valparaiso

Valparaiso, Chile

Líneas de Investigación


Nonparametric statistics; Adaptive estimation; Asymptotic behavior of random fields; High-dimensional Statistics

Educación

  •  Mathematics, UNIVERSITE PIERRE ET MARIE CURIE-PARIS VI. Francia, 2004
  •  Probability and Applications, UNIVERSITE PIERRE ET MARIE CURIE-PARIS VI. Francia, 2001
  •  Licence in Mathematics, UNIVERSITE DE RENNES I. Chile, 1998

Experiencia Académica

  •   Attache temporaire de recherche Part Time

    UNIVERSITE PARIS OUEST - PARIS X (NANTERRE)

    Francia

    2004 - 2005

  •   Full Professor Full Time

    UNIVERSIDAD DE VALPARAISO

    Ingeniería

    Valparaiso, Chile

    2005 - A la fecha

  •   Moniteur Part Time

    UNIVERSITE PARIS XII VAL DE MARNE

    Paris, Francia

    2001 - 2004

Experiencia Profesional

  •   Member of the Mathematical group Other

    FONDECYT

    Santiago, Chile

    2013 - 2016

  •   Director of Statistic Master Programa Full Time

    Universidad de Valparaiso

    Valpararaiso, Chile

    2008 - 2011

  •   Director of CIMFAV center Full Time

    Universidad de Valparaiso

    Valparaiso, Chile

    2017 - 2019

Formación de Capital Humano


**Number of undergraduate directed thesis: 3

**Number of Master directed thesis: 9

**Postgraduate teaching the last 3 years:

Course of non-parametric statistics, PhD Mathematics Universidad de Valparaíso.
Course of non-parametric statistics, PhD Statistics Universidad de Valparaíso.

**Undergraduate teaching the last 3 years:

Probability and Statistics,
Statistical Inference
Lineal Algebra

**Direction of Phd thesis the last 3 years

2021-2024 (defended in March 2024) PhD Statistics Universidad de Valparaíso of the student Miguel Padrino on: Adaptive Estimation Methods in Regression Models.

2021 (in progress) PhD Statistics Universidad de Valparaíso of the student Cristian Garcia on: Bayesian Approach for Time Series Segmentation.


Difusión y Transferencia


**Organizing activities

2023 Organizer of Workshop en Redes Biomatemáticas 2, Valparaiso, August 2023.

2021 Organizer of Workshop en Redes Biomatemáticas, Valparaiso, October 2021.

2018 Organizing committee : Troisieme Journée Franco-Chilienne de Statistique, 08/2018, Valparaíso.

2016 Event “1000 científicos, 1000 aulas” and two talks given in Rayen Caven school in Concón and Rebeca Fernandez school of Viña del mar.

2016 Organizer of the event "Segunda jornada franco-chilena de Estadística", Valparaíso.

2014 Organizer of the event Research School CIMPA ”Algebra, Combinatorics and Physics”, Valparaíso, Chile.

2014 Scientific committee CLAPEM 2014.

2013 Organizing committee: First International Meeting of Astrostatistics in Valparaíso, May 6-10, 2013

2012 Organizing committee: Journée Franco-Chilienne de Statistique, 13/04/2012, Paris, France.

2011-2012 Organizing committee CLAPEM 2012. March 26-30, 2012, Vina del Mar, Chile.

2010 Scientific committee CLATSE 2010.

2008 Statistics session Organization. Encuentro SOMACHI 2008.

2007 Organization "Cafe Matematico", in Restaurante Gato Tuerto, Valparaíso.

**Extension activities

2023 Diffusion talk Escuela de Invierno, Instituto de ingeniería Matematica, Universidad de Valparaíso.

2022 Diffusion talk Día de las mujeres Matemáticas, Universidad de Valparaíso.

2019 Diffusion talk "Celebrando mujeres Matemáticas de Chile y del mundo". Talk: Segmentacion de series multiples usando Lasso.

2016 Diffusion talk in colegio "Rebeca Fernandez" (Viña del Mar) and colegio "Rayen Caven" (Concon). Talk: Aplicaciones de la Matematica en informatica y otras areas"

2013 Diffusion talk in colegio "Alliance Francaise de Reñaca". Talk: Estimación de la calidad de servicio in Internet.

2011 Diffusion talk in colegio "Alliance Francaise de Reñaca". Talk: Estadística y imagenes.

2008 Diffusion talk in the event 1000 científicos, 1000 aulas. Talk: Aplicaciones desconocidas de la Estadística" in the colegio San Vicente de Paul, Valparaíso.

**Visiting

Universidad de la República, Montevideo. (2006-2007-2018)
Université Paris 10. (2006)
Université Paris 6. (2007)
Université Paris 11 (2007-2008-2009-2010-2012)
Universidad San Andres en Buenos Aires. (2010)
Université Paris Dauphine. (2011-2017)
ENSAE (2012).
ENSAI (2012-2013-2014).
Universidad de Pittsburgh (2015).
Université de Grenoble (2017)
Université Rennes 2 (2016-2017-2018-2019-2020, 2022).
Cuny School de New York, USA (2022)

** Congresses, Conferencies, seminars (last 10 years)

05/10 Seminario de Matemática de la Universidad Santa Maria. Talk: Selección de variables y reducción de la dimensión en modelos de regresión no-paramétrica de gran dimensión.
09/10 Seminario de la Universidad de Buenos Aires. Talk: Selección de variables y reducción de la dimensión en modelos de regresión no-paramétrica de gran dimensión.
11/10 Workshop "Statistical modelling for high-dimensional data analysis and image processing. Talk : Selección de variables y reducción de la dimensión en modelos de regresión no-paramétrica de gran dimensión.
04/11 Congreso Zona Sur, Pucon, Chile, Talk: estimación adaptativa usando estimadores Beta kernel de la densidad.
09/11 Coloquio departamento Matemática, Fac. Ciencias, Universidad Chile, Talk: estimación no-paramétrica usando estimadores Beta kernel de la densidad.
09/11 Seminario Estadística PUC, Santiago, Talk: estimación no-paramétrica usando estimadores Beta kernel de la densidad.
04/12 Congress 1eres Rencontres franco-chiliennes de Statistique, Paris, France , Talk: Estimation de densité et noyaux Beta.
06/12 Séminaire de statistique du CREST, Paris, Talk: Pointwise conditional density estimation.
06/12 Séminaire de proba-stat, Université d'Orsay, Talk: Pointwise conditional density estimation.
10/12 XXXVIII Semana de la Matemática, Valparaiso, Chile. Estimación no-paramétrica de funciones.
11/12 Escuela CIMPA, Uruguay: new trends in Mathematical Statistics, Talk: adpative pointwise conditional density estimation.
04/14 Charla CIMFAV, Valparaiso, Chile, Talk: Estimación adaptativa de la función de densidad en un punto fijo bajo dependencia.
09/14 Congreso CLAPEM, Cartagena de india, Colombia. Talk: Pointwise adaptive estimation of the marginal density of a weakly dependent process.
0/15 AMS spring meeting, Washington, USA. Talk: Pointwise adaptive estimation of the marginal density of a weakly dependent process.
04/15 Jornadas DIUV, Vi\~na del Mar, Chile. Talk: Segmentaci\'on de series múltiples usando LASSO.
10/15 Jornadas SOCHE, Concepción, Chile. Talk: Segmentation of functional-biased series by a Bayesian approach.
11/16 Seminario de Estadística de la PUC, Santiago, Chile. Talk: Adaptive Density Estimation on Bounded Domains.
12/16 Congreso CLAPEM 2016, San Jose, Costa Rica. Talk: Adaptive Density Estimation on Bounded Domains.
12/16 Segunda jornada franco-chilena de Estadística, Valparaiso, Chile. Talk: Adaptive Density Estimation on Bounded Domains.
10/17 V-Escuela Doctorado en Matemática en Consorcio Valpara\'iso, IMA, PUCV, Valpara\'iso, Semi–parametric segmentation of series corrupted by a functional part.
01/18 II Encuentro de Mujeres Matemáticas en América Latina. Estimación no-paramétrica de funciones.
09/18 Jornada de estadística porteña. Talk: : Segmentación de series múltiples usando Lasso.
11/18 Spring School in Complex Systems. Talk: Breakpoints and signal segmentation in time series.
04/21 Plenary talk in Jornada Matemática de la Zona Sur.
2021 Talk in CLAM 2021, Uruguay.
2022 Talk in Jornadas de Ingeniería Estadística, Universidad del Biobio".
2023 Talk in Seminario chileno de probabilidades.
2023 Talk in Mini-escuela de Verano en probabilidades.


Premios y Distinciones

  •   Merito por investigación

    UNIVERSIDAD DE VALPARAISO

    Chile, 2015

    Award given the the best 20 researcher at Universidad de Valparaíso

  •   Merito por investigación

    UNIVERSIDAD DE VALPARAISO

    Chile, 2014

    Award given the the best 20 researcher at Universidad de Valparaíso

  •   Merito por investigación

    UNIVERSIDAD DE VALPARAISO

    Chile, 2013

    Award given the the best 20 researcher at Universidad de Valparaíso


 

Article (27)

Minimax properties of Dirichlet kernel density estimators
COVID-19: A Comparative Study of Contagions Peaks in Cities from Europe and the Americas
Adaptive regression with Brownian path covariate
Least-square estimators in linear regression models under negatively superadditive dependent random observations
Adaptive density estimation on bounded domains under mixing conditions
Adaptive estimation of the stationary density of a stochastic differential equation driven by a fractional Brownian motion
High-dimensional VAR with low-rank transition
A Bayesian approach for the segmentation of series with a functional effect
Adaptive density estimation on bounded domains
Autoregressive Planet Search: Application to the Kepler Mission
Autoregressive Planet Search: Methodology
Pointwise adaptive estimation of the marginal density of a weakly dependent process
Semi-parametric segmentation of multiple series using a DP-Lasso strategy
Adaptive pointwise estimation of conditional density function
ADAPTIVE ESTIMATION OF A DENSITY FUNCTION USING BETA KERNELS
LASSO-type estimators for semiparametric nonlinear mixed-effects models estimation
Generalized Birnbaum-Saunders kernel density estimators and an analysis of financial data
Adaptive Dantzig density estimation
Drift parameter estimation in fractional diffusions driven by perturbed random walks
Maximum-likelihood estimators and random walks in long memory models
Minimax properties of beta kernel estimators
Asymptotic normality of the Nadaraya-Watson estimator for nonstationary functional data and applications to telecommunications
Maxiset in sup-norm for kernel estimators
Selection of variables and dimension reduction in high-dimensional non-parametric regression
Sharp Adaptive Estimation in Sup-Norm for d-Dimensional Classes
Asymptotically Exact Minimax Estimation in Sup-Norm for Anisotropic Hölder Classes
Minimax exact constant in sup-norm for nonparametric regression with random design

Proyecto (45)

Functional stochastic differential equations driven by fractional Brownian motion: numerical approximation and statistical models
Adaptive estimation in non-parametric models
Center for Mathematical Modeling (CMM)
Statistical inFerence and sensitivity ANalysis for models described by sTochASTIC differential equations
Statistical modeling for novel biochemical mechanisms to target neurological conditions
Stochastic and Statistic analysis for Stochastic Differential Equations driven by fractional Brownian motion with non regular coefficients (SARC).
Time-Dependent Data: efficient estimation procedures in complex semiparametric mixed-effects models and segmentation methods for multiple series with disturbances
Modelos de series de tiempo con aplicaciones en astronomía
Modelos de series de tiempo con aplicaciones en astronomía.
SaSMoTiDep-Statistical and Stochastic modeling for time-dependent data
SaSMoTiDep-Statistical and Stochastic modeling for time-dependent data
Statistical and Stochastic modeling for longitudinal data and application in biometrics using semi parametric approaches
Statistical and Stochastic modeling for longitudinal data and application in biometrics using semi parametric approaches
Fractional stochastic differential equations with discontinuous diffusion coefficient=> Existence, Uniqueness and estimation
Fractional stochastic differential equations with discontinuous diffusion coefficient: existence, uniqueness and inference.
On discretization procedures in Non-Gaussian long memory processes with applications in non parametric statistics and time series analysis.
On discretization procedures in Non-Gaussian long memory processes with applications in non parametric statistics and time series analysis.
Statistical inference for dependent stochastic processes and application in renewable energy.
Statistical inference for dependent stochastic processes and application in renewable energy.
Stochastic methods for parametric and nonparametric Bayesian calibration models applied to Fluid Dynamics.
Stochastic methods for parametric and nonparametric Bayesian calibration models applied to Fluid Dynamics.
ADAPTIVE ESTIMATION AND ORACLE INEQUALITIES.
NEW CHALLENGES IN MIXED-EFFECTS MODELS
New challenges in mixed-effects models
Fortalecimiento de la Astroestadística en Valparaíso
Fortalecimiento de la Astroestadística en Valparaíso. Fuente Financiamiento
OPTIMAL MODEL SELECTION THROUGH RESAMPLING PENALISATION AND THE SLOPE HEURISTICS
Stochastic Analysis, Statistical Inference and Applications in Neuroscience
Stochastic Analysis, Statistical Inference and Applications in Neuroscience
Support to development of Astro-Statistics in Valparaíso
Support to development of Astro-Statistics in Valparaíso.
Red de Análisis Estocástico y Aplicaciones (sistemas abiertos, energía y dinámica de la información)
Red de Análisis Estocástico y Aplicaciones (sistemas abiertos, energía y dinámica de la información).
Atracción de Centros Internacionales a Chile bajo el nombre de CIRIC. (Fase 1 y 2)
Desarrollo de metodologías estadísticas para el análisis de datos genómicos y medioambientales
Fortalecimiento de la Investigación y los Programas de Postgrado en Matemática Aplicada de la Universidad de Valparaíso
Fortalecimiento de la Investigación y los Programas de Postgrado en Matemática Aplicada de la Universidad de Valparaíso
Parameter estimates in models involving self similar noise
Parameter Estimates in Models Involving Self-Similar Noise
Potenciamiento y desarrollo de metodologías estadísticas para el análisis de datos económicos en la quinta región.
Statistical problems using Lasso-type methods
Statistical problems using Lasso- type methods
Estimación estadística para procesos autosimilares y problemas en gran dimensión.
Laboratorio de Análisis Estocástico.
Non-parametric funcional estimation in sup-norm
51
Karine Bertin

Full profesor

CIMFAV

Universidad de Valparaiso

Valparaiso, Chile

5
CRISTIAN MEZA

PROFESOR ADJUNTO

UNIVERSIDAD DE VALPARAÍSO

VALPARAÍSO, Chile

2
Michel Cure

FULL PROFESSOR

Facultad de Ciencias

UNIVERSIDAD DE VALPARAISO, FACULTAD DE CIENCIAS, INSTITUTO DE FISICA Y ASTRONOMIA

Valparaiso, Chile

2
Natalia Bahamonde

Profesor

INSTITUTO DE ESTADÍSTICA

Pontificia Universidad Católica de Valparaíso

Valparaíso, Chile

2
Alejandra Christen

PROFESSOR

Instituto de Estadística

Universidad de Valparaíso

Valparaiso, Chile

1
Victor Leiva

Profesor Titular

Pontificia Universidad Católica de Valparaíso

Valparaiso, Chile