This dissertation studies the Asymptotics of Bayesian nonparametric inference for Gaussian linear models.

This thesis develops statistical methods for the analysis of high dimensional data: high dimensional networks reconstruction (Chapters 1-4), incorporation of prior information in networks reconstruction (Chapters 2-4), incorporation of prior knowledge in genetic association studies (Chapter 3).

The aim of this project is to determine in which cases uncertainty statements resulting from a Bayesian statistical analysis can be trusted.

Promotor: A.W. van der Vaart

In this dissertation, matching, entropy, holes and expansions come together. The first chapter is an introduction to ergodic theory and dynamical systems.

Novel methods for understanding key aspects that are essential to the future of Bayesian inference for high- or infinite-dimensional models and data.

This thesis consists of five chapters on how to construct prediction sets for different types of data and models in a parametric or nonparametric Bayesian paradigm.

Promotor: Prof.dr. E. Smets, Dr. M. Stech

A common method to solve expensive function evaluation problem is using Bayesian Global Optimization, instead of Evolutionary Algorithms.

Promotor: Prof.dr. A.W. van der Vaart

On 28 February 2019, Kabir Duggal defended his thesis 'Principles of Evidence in Investor-State Arbitration, Burden, Standards, Presumptions & Inferences'. The doctoral research was supervised by Prof. dr. E. De Brabandere.

Central to this research is the Urban Future-project, which consists of a large archive of artworks made from 2002 until now.

Promotor: P.D. Grünwald

Promotor: Prof.dr. A. Achucarro

The Gravettian technocomplex dates to the period of 30,000 to 20,000 bp and is spread across Europe. This research theme explores the impact of the climatic and environmental changes during the pleniglacial on the Gravettian of northwestern and central Europe.

PhD Defence

For many system in statistical physics the microcanonical and canonical ensemble are equivalent in the thermodynamic limit, but not for all.

The members of LUXs develop and validate new methods and algorithms for analysing data, and apply these in a wide range of problems. Their research ranges from multidisciplinary applications to proving mathematical theorems.

Promotor: R.D. Gill, F. Taroni

In this thesis, we extend the concept of null models as canonical ensembles of multi-graphs with given constraints and present new metrics able to characterize real-world layered systems based on their correlation patterns.

This PhD-thesis presents a study on micron-sized particles, so-called colloids. By controlling the chemical and physical properties of these particles, such as the interparticle interaction and the particles’ shape, colloids can act as building blocks that self-assembly into larger structures.

The research programme Statistical Science is concerned with the analysis and interpretation of masses of data, the quantification of uncertainty using probability models, and the development and benchmarking of algorithms and methods with these aims.

The Graduate School of Science has a centuries-old tradition in cutting edge education and research in science.

The Mathematical Institute is responsible for the research and education in mathematics and statistics at Leiden University.

This thesis develops a method for direction dependent calibration of the ionosphere in radio interferometric data.

LCN2 organizes seminars on the last Friday of each month.

Prof. dr. Aad van der Vaart has been appointed as Scientific Director of the Mathematical Institute of Leiden University on Tuesday 15 September 2015. He succeeds prof. dr. Peter Stevenhagen who has been a dedicated Scientific Director of the Mathematical Institute as from 2007.

PhD Defence

Aad van der Vaart, professor of stochastics at Leiden University, has been awarded the NWO Spinoza Prize for his groundbreaking research in statistics. Van der Vaart conducts fundamental research on models that can help, for instance, to identify genes that play a role in cancer.

If you are intrested instudying stochastics, the following information will help you to choose the right path

Mathematics forms the basis of many innovations in technology, the service industry and science, such as data analysis and coding, artificial intelligence, weather or climate change modelling or understanding molecular processes. The researchers from the Mathematical Institute (MI) are constantly developing…

Promotor: A.W. van der Vaart

A consortium called 'uNLock' has started developing an open source, non-profit application that will facilitate the verification of corona tests while ensuring maximum security of users.

PhD Defence

Promotor: Robert Tijdeman, Co-promotor: Cornelis Kraaikamp

Lecture

A lot of our research is performed at temperatures close to absolute zero, among other reasons because this increases the sensitivity of the measurements. 

We study the structure, dynamics and physics of complex networks emerging from the intricate interconnectedness of the constituents of large systems.

Lecture

Promotor: K. Kuijken, Co-Promotor: H. Hoekstra

Real-life processes are characterized by dynamics involving time. Examples are walking, sleeping, disease progress in medical treatment, and events in a workflow.

Perform cutting-edge research in the area of the STAR mathematics cluster.

Valérie Pattyn, Assistant Professor at Leiden University, researched "why and how" a policy can make a difference together with four other authors.

Mathematician Stéphanie van der Pas, the winner of the C.J. Kok Jury Award for her Ph.D. thesis in 2017, divides her time between research and education, and between pure mathematics and practical application.

What is the relation between the experience and the act of exclusion?

Social and Behavioural Sciences, Psychology