Department of Mathematics and Systems Analysis


Lectures, seminars and dissertations

* Dates within the next 7 days are marked by a star.

Francesco Spadaro
Constructing 2D Ising fermions with a geometrical-probabilistic approach
* Thursday 29 August 2019,   14:15,   M3 (M234)
We will discuss a construction of correlations of discrete fermions for the two-dimensional critical FK-Ising and Ising models as expectations over geometrical configurations. The observable plays the role of a precursor for the free fermion in the Ising CFT, and it inspires the construction of CFT fields in the continuum case in terms of SLE/CLE measures.
Aalto Stochastics and Statistics Seminar (Ilmonen, Kytölä, Leskelä)

Andreas Heran (Erlangen)
Harnack inequality for porous medium type equations
Wednesday 11 September 2019,   12:15,   M3 (M234)
Seminar on analysis and geometry

Michael Collins (Erlangen)
Existence of variational solutions to a Cauchy-Dirichlet problem with time-dependent boundary data on metric measure spaces
Wednesday 11 September 2019,   13:15,   M3 (M234)
Seminar on analysis and geometry

Jukka Kohonen (Aalto)
Monday 16 September 2019,   14:15,   Y405
Aalto Stochastics and Statistics seminar

Jens Habermann (Erlangen)
Wednesday 18 September 2019,   12:15,   M3 (M234)
Seminar on analysis and geometry

Daniel Faraco (UA Madrid)
Non-linear Beltrami equation
Wednesday 18 September 2019,   13:15,   M3 (M234)
Seminar on analysis and geometry

Dario Gasbarra (University of Helsinki)
Monday 23 September 2019,   15:15,   Y405
Aalto Stochastics and Statistics seminar

Sylvester Eriksson-Bique (UCLA)
Wednesday 25 September 2019,   12:15,   M3 (M234)
Seminar on analysis and geometry

Lauri Viitasaari (Aalto)
Tuesday 08 October 2019,   11:15,   Y405
Aalto Stochastics and Statistics seminar

Jaakko Lehtomaa (University of Helsinki)
Monday 28 October 2019,   14:15,   Y405
Aalto Stochastics and Statistics seminar

Past events

Kalle Kytölä
SLE random curves and conformal field theory
Thursday 22 August 2019,   15:30,   M3 (M234)
mathematical physics day (Kytölä)

Taha Ameen
Diagonalization of the 2D Ising model transfer matrix
Thursday 22 August 2019,   15:00,   M3 (M234)
mathematical physics day (Kytölä)

David Radnell
An introduction to the geometric structures underlying conformal field theory
Thursday 22 August 2019,   14:00,   M3 (M234)
mathematical physics day (Kytölä)

Christian Webb
On logarithmically correlated random fields
Thursday 22 August 2019,   13:30,   M3 (M234)
mathematical physics day (Kytölä)

Armando Gutiérrez
Elements of metric functional analysis
Thursday 22 August 2019,   11:30,   M3 (M234)
mathematical physics day (Kytölä)

Alex Karrila
On multiple SLE type scaling limits
Thursday 22 August 2019,   11:00,   M3 (M234)
mathematical physics day (Kytölä)

Jonna Mikkonen
Jäälauttakentän laskennallinen mallinnus (kandiesitelmä)
Wednesday 21 August 2019,   15:15,   M3 (M234)

Emma Järvinen
Neumannin ongelma eristävälle kiekkoinkluusiolle yksikkökiekossa (kandiesitelmä)
Wednesday 21 August 2019,   14:15,   M3 (M234)

Martti Ranta
Kiintopistelauseita ja niiden sovelluksia (kandiesitelmä)
Wednesday 21 August 2019,   13:15,   M3 (M234)

Lauri Särkiö
Polkujoukkojen mittaaminen kahdella eri modulilla (kandiesitelmä)
Wednesday 21 August 2019,   11:15,   M3 (M234)

Verna Heikkinen
Bayesian Reduced Rank Regression (BRRR): Application to Neuromagnetic Data (kandiesitelmä)
Wednesday 21 August 2019,   10:15,   M3 (M234)

Tuomas Tuukkanen
Rajoittamattomat operaattorit Hilbert-avaruuksissa (kandiesitelmä)
Wednesday 21 August 2019,   09:15,   M3 (M234)

Jyri Maanpää (Finnish Geospatial Research Institute)
End-to-end deep learning for autonomous steering of self-driving cars
Tuesday 13 August 2019,   10:15,   M3 (M234)
Master's thesis presentation

Alex Karrila (Aalto)
Conformally invariant scaling limits of random curves and correlations
Friday 26 July 2019,   12:00,   M1 (M232)
Further information
This dissertation studies mathematically the highly symmetric emergent structures in continuum limits of critical statistical-physics models. The results are formulated in terms of random curves and correlations.

Vincent Beffara (Université Grenoble Alpes)
Percolation for smooth 2D random fields
Thursday 25 July 2019,   14:15,   M3 (M234)
Aalto Stochastics and Statistics Seminar (Ilmonen, Kytölä, Leskelä)

Prof. Ahmad Yousefian Darani (University of Mohaghegh Ardabili)
Cyclic DNA Codes over ${F}_2+u{F}_2+u^2{F}_2$
Thursday 27 June 2019,   14:15,   M3 (M234)
In this talk we study the structure of cyclic DNA codes of even length over the ring ${F}_2+u{F}_2+u^2{F}_2$ where $u^3=0$. We investigate two presentations of cyclic codes of even length over ${F}_2+u{F}_2+u^2{F}_2$ satisfying the reverse constraint and the reverse-complement constraint.
ANTA Seminar

Mihaela Mihaylova (Aalto U)
Correlations studies of LDL-aggregation, LDL-lipidome and clinical data of bariatric surgery patients
Tuesday 25 June 2019,   11:15,   M2 (M233)
Atherosclerotic cardiovascular disease (ASCVD), also known as coronary artery disease (CAD), is one of the leading causes of death in the world.[1] A consensus has been reached that the main cause of ASCVD are low-density lipoproteins (LDL). [2] ASCVD develops in the innermost layer of the coronary artery wall (intima). Once LDL particles enter the wall, they are retained, modified, and accumulate there. [3] There are several well-known risk factors of ASCVD, among which obesity, smoking, hypertension and LDL-cholesterol concentration in the plasma.[3] A novel approach to assessing the risk of ASCVD however suggests that, not only the concentration, but also the quality of LDL might be associated with ASCVD. [3] It shows that the susceptibility of LDL particles to aggregate (in the presence of the enzyme hrSMase) varies between humans and depends on the composition of the LDL particles. [3] The presence of aggregation-prone LDL in the plasma was found to be associated with future coronary artery disease (CAD) deaths. [3] This makes investigating LDL-aggregation further particularly important. This master’s thesis studies LDL aggregation of patients who underwent bariatric surgery - a procedure performed on people with obesity, for the purpose of weight loss. It focuses on four main points: ● Creating a nonlinear mixed-effects model of LDL-aggregation and obtaining a single quantitative measure of LDL-aggregation. ● Investigating whether there is a significant difference in LDL-aggregation in patients before and after bariatric surgery ● Studying correlations between LDL-aggregation and lipids from the LDL-lipidome, as well as correlations with clinical data of bariatric surgery patients. ● Investigating whether there is a significant difference in the LDL-lipidome lipids and clinical parameters in the patients before and after the operation The presentation will discuss the progress made on the project. It will cover the following points. ● Problem Overview: Theory and Data ● Solution Plan ● Step 1: Modelling of LDL-aggregation - Nonlinear Mixed-Effect Models - Modelling using the Bayesian approach - Modelling Problems - Possible Solutions References: [1] George, S. and Johnson, J. (2010). ​Atherosclerosis: Molecular and Cellular Mechanisms​. Weinheim: Wiley-VCH-Verl. [2] Ference, B. et al (2017). Low-density lipoproteins cause atherosclerotic cardiovascular disease. 1. Evidence from genetic, epidemiologic, and clinical studies. A consensus statement from the European Atherosclerosis Society Consensus Panel. ​European Heart Journal​, 38(32), pp.2459-2472. [3] Ruuth, M. et al (2018). Susceptibility of low-density lipoprotein particles to aggregate depends on particle lipidome, is modifiable, and associates with future cardiovascular deaths. ​European Heart Journal,​ 39(27),pp.2562-2573.
Aalto Stochastics & Statistics Seminar

Miikka Runolinna
Transitiivisuus hyperbolisissa satunnaisverkoissa (kandiesitelmä)
Monday 24 June 2019,   13:15,   M3 (M234)

Tommi Gröhn
Klikkien esiintymistiheydet satunnaisessa leikkausverkossa (kandiesitelmä)
Monday 24 June 2019,   11:15,   M3 (M234)

Lauri Ahlberg
The maths behind Bitcoin (kandiesitelmä)
Monday 24 June 2019,   10:15,   M3 (M234)

Tatu Hyytiäinen
Changepoint detection in network activity measurement data (diploma thesis talk).
Tuesday 18 June 2019,   14:15,   M2 (M233)

Prof. Jeffrey Ovall, (Portland State)
A Trefftz Finite Element Method on Exotic Meshes
Monday 17 June 2019,   13:15,   M3 (M234)
Over the past decade, there has been growing interest in the development of finite element methods on meshes whose cells are more general than the traditional triangles and quadrilaterals in 2D or tetrahedra and hexahedra in 3D, and this work has focused (almost) exclusively on polytopal meshes. We consider finite element methods employing meshes consisting of quite general curvilinear polygons. These methods are in the spirit of Trefftz methods for second order linear elliptic equations, in that the local finite element spaces are defined implicitly in terms of local Poisson problems involving polynomial data. Immediately one must decide what should be meant by ``polynomial on a curve'', and perhaps the two most natural choices are: polynomials with respect to arclength or other natural parameter related to the curve, or restrictions of polynomials in 2D to the curve. We discuss why the latter space is preferred, and indicate how to work with it in practice. Having made this choice, we introduce a natural interpolation operator, and establish convergence results with respect to mesh size. Several numerical examples illustrate these convergence results in practice. We also argue, and demonstrate, that it is possible to exploit the approximation power of singular functions that may exist in our local space (if the cell has non-convex corners) in order to achieve optimal order convergence without the typical adaptive refinement techniques.
Harri Hakula

Dr. Ramsès Fernàndez (Eurecat)
Problems and attacks for isogeny-based hash functions
Wednesday 12 June 2019,   14:15,   M3 (M234)
In this talk I will survey the main problems on isogenies of elliptic cuves believed to be hard in a quantum setting and how these problems relate to the security and the cryptanalysis of isogeny-based hash functions.
ANTA Seminar

Maximilien Dreveton (Inria Sophia Antipolis)
Almost exact recovery in label spreading
Friday 07 June 2019,   12:15,   M2 (M233)
In semi-supervised graph clustering setting, an expert provides cluster membership of few nodes. This little amount of information allows one to achieve high accuracy clustering using efficient computational procedures. Our main goal is to provide a theoretical justification why the graph-based semi-supervised learning works very well. Specifically, for the Stochastic Block Model in the moderately sparse regime, we prove that popular semi-supervised clustering methods like Label Spreading achieve asymptotically almost exact recovery as long as the fraction of labeled points does not go to zero and the average degree goes to infinity.
Aalto Stochastics & Statistics Seminar

Seppo Sorvari
Enemmistöäänestys ja iteratiiviset algoritmit binaarisissa joukkoistamistehtävissa (kandiesitelmä)
Tuesday 04 June 2019,   16:15,   M3 (M234)

Nuutti Vienola
From generalized linear models to logistic regression: a theoretical overview (kandiesitelmä)
Tuesday 04 June 2019,   15:15,   M3 (M234)

Diplomityöesitelmä Ville Romanov
The Bishop-Gromov volume inequality in Riemannian manifolds with a lower Ricci curvature bound
Thursday 23 May 2019,   14:15,   M2 (M233)

MSc Hoa Ngo (Aalto U)
First passage percolation on mixed sparse random graphs with two types of nodes
Monday 20 May 2019,   15:15,   M3 (M234)
A mixed graph is a graph consisting of both undirected edges and directed edges. This talk discusses first passage percolation on a connected mixed random graph with a given degree sequence, where an undirected edge is formed between type-1 nodes and a directed edge between type-1 and type-2 nodes. Weights on edges are assumed to be independent and exponentially distributed. We analyze a flooding time, which is the minimum time that a uniformly chosen node reaches all other nodes. We derive an asymptotic formula for the flooding time as the number of nodes tend to infinity. As an application, we discuss continuous time information spreading on a random regular graph, where we also take into account the impact of passive nodes. Type-1 nodes can be interpreted as active message spreaders and type-2 nodes can be interpreted as passive receivers which may only receive the message. In this setting we derive an asymptotic formula for the flooding time which is also called the broadcast time in the literature.
Aalto Stochastics & Statistics Seminar

Prof. Joerg Kliewer (New Jersey Institute of Technology)
Private and Distributed Function Computation
Thursday 16 May 2019,   15:15,   M3 (M234)
We consider the problem of private computation in a distributed storage system. In private computation, a user wishes to compute a function of f messages stored in noncolluding databases while revealing no information about the computation result to the databases. We first employ computation of a linear function of the messages, where linear codes are used to encode the information on the databases. We show that this private linear computation capacity, which is the ratio of the desired linear function size and the total amount of downloaded information, matches the maximum distance separable (MDS) coded capacity of private information retrieval for a large class of linear codes that includes MDS codes. Our converse result is valid for any number of messages and linear combinations, and the capacity expression depends on the rank of the coefficient matrix obtained from all linear combinations. We also present how our linear computation approach can be extended to computing arbitrary multivariate polynomials of the messages. Here, the presented schemes yield improved rates compared to the best known schemes from the literature for a small number of messages, while in the asymptotic case the rates match.
ANTA Seminar

Professor Aldo Conca (University of Genova, Italy)
Introduction to Gröbner bases
Wednesday 15 May 2019,   15:15,   M1 (M232)
Gröbner bases and related algorithms can be seen as generalizations of Gaussian elimination for linear systems and Euclid's algorithm for computing polynomial greatest common divisors of univariate polynomials. They can be used to solve algorithmically questions related to polynomials as, for example, the following: 1) deciding whether a system of polynomial equations has solutions, 2) deciding whether a polynomial can be written as linear combinations with polynomials coefficients of given polynomials, 3) deciding whether a polynomial can be written as polynomial function of given polynomials, 4) find the implicit equations of a locus given by a polynomial parametrization. Questions of this type and their variations have several applications in mathematics, science and engineering. The goal of the talk is to present a gentle introduction to Gröbner bases and related algorithms and their use to answer the questions above.
Department Colloquium

Giovanni Comi (UHH Universität Hamburg)
A distributional approach to fractional Sobolev spaces and fractional variation
Wednesday 15 May 2019,   12:15,   M3 (M234)
Unlike their integer versions, the fractional Sobolev spaces $W^{\alpha, p}(\mathbb{R}^{n})$ do not seem to have a clear distributional nature. By exploiting suitable notions of fractional gradient and fractional divergence already existing in the literature, we introduce the new space $BV^{\alpha}(\mathbb{R}^{n})$ of functions with bounded fractional variation in $\mathbb{R}^n$ of order $\alpha \in (0, 1)$ via a new distributional approach. Thanks to the continuous inclusion $W^{\alpha, 1}(\mathbb{R}^{n}) \subset BV^{\alpha}(\mathbb{R}^{n})$, our theory provides a natural extension of the known fractional framework. In analogy with the classical $BV$ theory, we define sets with (locally) finite fractional Caccioppoli $\alpha$-perimeter and we partially extend De Giorgi's Blow-up Theorem to such sets, proving existence of blow-ups on points of the naturally defined fractional reduced boundary. In addition, we investigate the asymptotic behaviour of these fractional differential operators and we prove that the fractional $\alpha$-variation weakly and Gamma-converges as $\alpha \to 1^{-}$ to the standard De Giorgi's variation.
Seminar on analysis and geometry

Dr. Michał Lasoń (Jagiellonian University)
On some structures on matroids and related algebraic problems
Tuesday 14 May 2019,   15:15,   M3 (M234)
When an ideal is defined only by combinatorial means, one expects to have a combinatorial description of its algebraic invariants. An attempt to achieve this description often leads to surprisingly deep combinatorial questions. White's conjecture is an example. It asserts that the toric ideal associated to a matroid is generated by quadratic binomials. Another example is a question of Herzog and Hibi about existence of a quadratic Gröbner basis of the toric ideal of a matroid. Both problems reduce to questions about arrangements of bases in a matroid. We will review recent progress and state some intriguing open problems.
ANTA Seminar

Nicolas Dietrich (University of Salzburg)
Compactness results for parabolic problems
Thursday 09 May 2019,   14:15,   M2 (M233)
Seminar on analysis and geometry

Dr. Ragnar Freij-Hollanti
Introduction to secure multiparty computation
Thursday 09 May 2019,   12:15,   M3 (M234)
Guest lecture on the Applications of Coding Theory to Security course.
ANTA Seminar

Prof. Mateusz Michałek (Aalto/Max Planck)
From topology to algebraic geometry and back again
Wednesday 08 May 2019,   15:15,   M2 (M233)
I will present applications of secant varieties in topology through k-regular embeddings. An embedding of a variety in an affine space is called k-regular if any k points are mapped to linearly independent points. Numeric conditions for the existence of such maps are an object of intensive studies of algebraic topologists dating back to the problem posed by Borsuk in the fifties. Current world record results were obtained by Pavle Blagojevic, Wolfgang Lueck and Guenter Ziegler. Our results relate k-regular maps to punctual versions of secant varieties. This allows us to prove existence of such maps in special cases. The main new ingredient is providing relations to the geometry of the punctual Hilbert scheme and its Gorenstein locus. The talk is based on two joint works: with Jarosław Buczynski, Tadeusz Januszkiewicz and Joachim Jelisiejew and with Christopher Miller: arXiv:1511.05707 and arXiv:1512.00609.
ANTA Seminar

Ida Keskimäki
Tason symmetriat (kandiesitelmä)
Tuesday 07 May 2019,   16:15,   M3 (M234)

Dr Augusto Gerolin (VU Amsterdam)
An optimal transportation approach for the Schrödinger bridge problem and convergence of the Sinkhorn algorithm
Monday 06 May 2019,   15:15,   M3 (M234)
Aalto Stochastics & Statistics Seminar

MA Taneli Luotoniemi
Hyperspatial Interlace. Grasping Four-dimensional Geometry Through Crafted Models
Friday 03 May 2019,   12:00,   A1 hall, Otakaari 1X
Further information
Opponents: KuT, dos. Jyrki Siukonen, University of the Arts Helsinki and PhD, Prof. Thomas Banchoff, Brown University, USA Custos: Prof. Helena Sederholm

Prof Thomas Banchoff (Brown University)
Meeting Salvador Dali in the Fourth Dimension
Thursday 02 May 2019,   15:15,   Aalto hall
Abstract: How did Salvador Dali choose an unfolded four-dimensional cross as the central figure in one of his most famous religious paintings? This talk will describe a ten-year series of meetings with the artist starting in 1975 and a survey of forty years of developments in computer graphics approaches to phenomena in four and higher dimensions.
Mathematics and Arts Colloquium

Matias Heikkilä
On Multivariate Extremes
Monday 29 April 2019,   13:00,   M1 (M232)
Further information
Filosofian maisteri Matias Heikkilä väittelee maanantaina 29.4.2019 klo 13 Aalto-yliopiston perustieteiden korkeakoulussa salissa M1, Otakaari 1, Espoo. Väitöskirjassa “On Multivariate Extremes” tutkittiin harvinaisten ilmiöiden ennustamista. Väitöstilaisuuden vastaväittäjänä toimii Assist. Prof. Anna Kiriliouk, University of Namur. Kustoksena toimii professori Pauliina Ilmonen matematiikan ja systeemianalyysin laitokselta. Väitöstiedote Perustieteiden korkeakoulun verkkosivuilla:

Vesa Kaarnioja
Higher order QMC rules for uncertainty quantification using periodic random variables
Friday 26 April 2019,   13:00,   M3 (M234)
A popular model for the parametrization of random fields in uncertainty quantification is given by the so-called affine model, where the input random field is assumed to depend on uniformly distributed random variables in a linear manner. In this talk, we consider a different -- yet equally valid -- model for the input random field, where the random variables enter the input field as periodic functions instead. The field can be constructed to have the same mean and covariance function as the affine random field. This setting allows us to construct simple lattice QMC rules that obtain higher order convergence rates, which we apply to elliptic PDEs equipped with random coefficients. This is a joint work with Frances Kuo and Ian Sloan.

Professor Ago-Erik Riet (University of Tartu)
Permutation Codes
Thursday 25 April 2019,   11:15,   M140 (Majakka)
Codes over permutations can potentially be applied for error correction in flash memories. Information in a flash memory is stored as electric charge in memory cells. Permutation codes are useful to combat errors of charge leakage over time and overshoot while writing. In this approach, within a block of numbered cells all charges are assumed to be different and their relative ranking defines a permutation. Various distance metrics can be defined in the symmetric group of all permutations over the set $\{1,2,\ldots,n\}$, used to define codes, with varying degrees of usefulness to flash memories. In this talk I review some of my work with coauthors on permutation codes for error correction. I also review a potential source coding into permutations framework proposed by us. I also introduce multipermutation codes which is a possible relaxation of permutation codes to the case when some charges within the block can be equal. I briefly discuss the difficulties of encoding information into and decoding from permutations.
ANTA Seminar

Professor Vitaly Skachek (University of Tartu)
Constructing Asynchronous Batch Codes using Hypergraphs
Tuesday 23 April 2019,   15:15,   M1 (M232)
Batch codes were first proposed by Ishai et al. as a means for balancing load in distributed storage systems. They are also of potential use in private information retrieval. In this talk, we present a new variant of batch codes termed "asynchronous batch codes", which are designed for parallel recovery of information symbols from the coded database, where different requests take different service time (i.e. the requests are served in an asynchronous manner). It turns out that the graph-based batch codes studied by Rawat et al. are asynchronous. By building on the ideas therein, we show that hypergraphs of Berge girth at least 4 yield graph-based asynchronous batch codes. We prove the hypergraph-theoretic proposition that the maximum number of hyperedges in a hypergraph of a fixed Berge girth equals the quantity in a certain generalization of the hypergraph-theoretic (6,3)-problem. We then apply the constructions and bounds by Erdos, Frankl and Rodl to obtain batch code constructions and bounds on the optimal redundancy of the graph-based asynchronous batch codes. We show that the optimal redundancy $\rho(k)$ of graph-based asynchronous batch codes of dimension $k$ with the query size $t=3$ is $2\sqrt{k}$. Moreover, for a general fixed value of $t \ge 4$, $\rho(k) = O\left({k}^{1/(2-\epsilon)}\right)$ for any small $\epsilon > 0$. For a general value of $t \ge 4$, $\lim_{k \rightarrow \infty} \rho(k)/\sqrt{k} = \infty$. (Joint work with Ago-Erik Riet and Eldho K. Thomas)
Department Colloquium

Saara Vestola
Pintojen luokittelu Conwayn vetoketjulla (kandiesitelmä)
Tuesday 16 April 2019,   16:15,   M3 (M234)

Karl Brustad (NTNU, Trondheim)
Segre's Theorem. An analytic proof of a result in differential geometry.
Wednesday 10 April 2019,   12:15,   M3 (M234)
Seminar on analysis and geometry

Dr. Jie Li
High-Rate MDS Code Constructions for Distributed Storage Systems
Tuesday 02 April 2019,   15:15,   M3 (M234)
NOTE: TUESDAY! Distributed storage systems with high reliability have wide applications in large data centers, peer-to-peer storage systems, and storage in wireless networks. To ensure reliability, the redundancy is crucial for these systems. A popular option to introduce redundancy is to employ erasure codes such as MDS (Maximum Distance Separable) codes, which can efficiently store data and protect against node failures. In this talk, we will introduce several novel high-rate MDS code constructions which have optimal repair bandwidth and some other key properties. In addition, two generic transformations for MDS codes will also be given, one is to enable optimal repair in MDS code and the other is to reduce the sub-packetization level of existing MDS codes, which address two major concerns in high-rate MDS codes for DSSs.
ANTA seminar

Kristian Moring
Global higher integrability of weak solutions for systems of porous medium type
Wednesday 27 March 2019,   12:15,   M3 (M234)
Seminar on analysis and geometry

Professor Paavo Pylkkänen (University of Helsinki)
Explaining consciousness in terms of information
Tuesday 26 March 2019,   16:15,   M1 (M232)
Conscious experience has become the focus of intensive interdisciplinary study over the past few decades. By now there are a number of candidate theories of consciousness, many of which make use of notions of information in their attempted explanations of consciousness. This talk provides first a brief overview of consciousness studies and then considers how consciousness can be understood in the light of two approaches that make an appeal to information: David Bohm’s “active information” approach, and Giulio Tononi’s mathematical “integrated information” theory of consciousness.
Department Colloquium

Dr Elena Magnanini (U Modena)
On the scaled cumulant generating function of the triangle observable in the dense Erdӧs-Rényi model
Thursday 21 March 2019,   10:15,   M3 (M234)
Further information
The computation of the probability of rare events is the main purpose of large deviations theory. For instance, in a simple case, one can consider the rare event in which a sum of i.i.d. Bernoulli variables attains a value which is larger than its average. A completely different and much more difficult problem, is the computation of large deviations probability of nonlinear functionals of the Bernoulli variables, e.g. cubic polynomials. A case in which such nonlinear problems arise is, for instance, the study of complex networks. In this talk I will present the behavior of the so-called scaled cumulant generating function of the number of triangles of an Erdӧs-Rényi random graph (dense case). The scaled cumulant generating function is strictly connected with the theory of large deviations since, when it is possible to apply the Gärtner-Ellis theorem, it turns out to be the Legendre transform of the rate function. More precisely, the aim of this talk is twofold. On one hand, to describe a modified version of a known Monte Carlo method, called Cloning algorithm, tailored for approximating the scaled cumulant generating function of an additive observable in the framework of random graphs. One the other hand, keeping the focus on the triangle observable, to present the numerical investigation performed in the region where the analytical expression of such function is not known (replica breaking regime).

Istvan Prause
Schwarz lemma, quasiconformal mappings and interpolation
Wednesday 20 March 2019,   12:15,   M3 (M234)
Seminar on analysis and geometry

Prof. Christine Kelley (University of Nebraska-Lincoln)
Communicating over channels with partial erasures
Wednesday 13 March 2019,   15:15,   M3 (M234)
Channels with partial erasures were recently introduced to characterize erasure events in applications where some partial information about an erased symbol or packet is known. After some background on partial erasure channels, we will introduce a multilevel coding scheme for designing codes over these channels. We also characterize cases of channel parameters when capacity can be achieved using such a scheme. Time permitting, we will look at fountain codes over partial erasure channels as well as simple relay channels where at least one link is a partial erasure channel.
ANTA seminar

Olli Saari (University of Bonn)
On endpoint regularity of maximal functions
Wednesday 13 March 2019,   12:15,   M3 (M234)
Seminar on analysis and geometry

Razane Tajeddine
Doctoral thesis defense: Private Information Retrieval from Coded Storage
Thursday 07 March 2019,   14:00,   M1 (M232)
Opponent: Prof. Simon Blackburn, Custos: Prof. Camilla Hollanti.

Prof. Simon Blackburn (Royal Holloway)
The Walnut Digital Signature Algorithm
Thursday 07 March 2019,   10:15,   M3 (M234)
NOTE different day and time! Walnut is a digital signature algorithm that was first proposed in 2017 by Anshel, Atkins, Goldfeld and Gunnells. The algorithm is based on techniques from braid group theory, and is one of the submissions for the high-profile NIST Post Quantum Cryptography standardisation process. The talk will describe Walnut, and some of the attacks that have been mounted on it. No knowledge of cryptography or the braid group will be assumed. Based on joint work with Ward Beullens (KU Leuven).
ANTA seminar

Cintia Pacchiano
The total variation flow
Wednesday 06 March 2019,   12:15,   M3 (M234)
Seminar on analysis and geometry

Leah Schätzler (University of Erlangen)
Existence of variational solutions for doubly nonlinear equations of porous medium type
Wednesday 27 February 2019,   12:15,   M3 (M234)
Seminar on analysis and geometry

Marcus Greferath
Spectral Methods for Coding Theory in a non-commutative Setup
Tuesday 26 February 2019,   15:15,   M1 (M232)
In many areas of Electrical Engineering, Computer Science, and Applicable mathematics, and particularly in Algebraic Coding Theory, there are impressive examples, showing how a discrete Fourier calculus can be used in order to construct codes of prescribed minimum distance. Here, this spectral technique is basically restricted to cyclic codes over finite fields so far, however there are no strict reasons to keep it restrained to this case. This talk is particularly interested in the scenario, where a non-commutative finite group acts on the co-ordinate domain, while the alphabet of the desired code may be a finite ring. We will sketch the successful development of a Fourier Calculus for this setting and observe a few remarkable facts. This is work in progress! world.
Department Colloquium

Dr. Tefjol Pllaha (ELEC)
Equivalence of Quantum Stabilizer Codes
Wednesday 20 February 2019,   15:15,   M2 (M233)
In the first part of the talk we will describe basic notions in quantum computation with a view toward error-correction. We will describe in detail Shor's 9 qubit code, and then motivate an algebraic approach to the stabilizer formalism. In the second part of the talk we will define stabilizer codes over Frobenius rings and point out why MacWilliams Extension Theorem fails in this case. The latter motivates the study of isometry groups, for which we show how to construct stabilizer codes with predetermined isometry groups. If time permits, we will end with some remarks on the LU-LC conjecture.
ANTA seminar

Emma-Karoliina Kurki
Weighted norm inequalities by the sparse domination method
Wednesday 13 February 2019,   12:15,   M3 (M234)
Seminar on analysis and geometry

Prof. Colin Boyd (Norwegian University of Science and Technology)
Bitcoin, Blockchains and Smart Contracts: Understanding the Crypto in Cryptocurrencies
Wednesday 06 February 2019,   17:30,   Lumituuli Auditorium, Dipoli, Otakaari 24, 02150 Espoo
Cryptocurrencies and blockchains are the most widely publicized applications of cryptography today. Using the example of Bitcoin, we will aim to understand the cryptographic building blocks of cryptocurrencies and how they fit together to enable a distributed payment system. We will then explore why newer cryptocurrencies built on Bitcoin employ more advanced cryptography. In particular we will examine the contentious issue of anonymous payments. Finally we will discuss the concept of smart contracts, how they can be achieved using blockchains, and what kinds of applications they may be useful for.
HAIC Talks

Vincenzo Vespri (University of Firenze)
Some regularity problems concerning anisotropic operators
Wednesday 06 February 2019,   12:15,   M3 (M234)
Seminar on analysis and geometry

Prof. Prabhu Manyem (Nanchang Institute of Technology)
An Optimization Model for Adaptive Rescheduling of Flights After Disruptions
Friday 01 February 2019,   14:15,   M1 (M232)
Further information

Kristian Moring
Global higher integrability of weak solutions for systems of porous medium type
Wednesday 30 January 2019,   12:15,   M3 (M234)
Seminar on analysis and geometry

Jaakko Lehtinen
Simulation + machine learning = interpretable, less data hungry AI?
Tuesday 29 January 2019,   15:00,   A2
How do we make computers perceive the everyday world and deeply understand it just by looking at it? How do we build virtual agents and real robots that build on this perception and are able to move and interact with the world, including us humans, in a natural manner? In this talk, I’ll talk about the currently accelerating congruence of physically-based simulation and machine learning in solving very hard problems in artificial intelligence. I’ll argue that the classic approach of “merely” learning from human-labeled examples is doomed – there is simply no way for us to cover all the variability in the real world with annotated examples – and that making use of interpretable models (simulators!) in the learning process is the way forward. I’ll give examples of my own work, as well as that of my close colleagues and collaborators, and other highlights from around the world.
Department Colloquium

Dr. Justyna Szpond
Fermat-type configurations in projective spaces
Wednesday 23 January 2019,   15:00,   M2 (M233)
A Fermat arrangement of lines in the complex projective plane is given by linear factors of the polynomial $(x^n-y^n)(y^n-z^n)(z^n-x^n)$ for some $n\geq 3$. Singular points of these arrangements have appeared recently in commutative algebra, more precisely in the containment problem between symbolic and ordinary powers of homogeneous polynomials and in algebraic geometry in the theory of linear systems and unexpected hypersurfaces. I will explain these two appearances and present considerable generalizations which led to substantial, new results in both fields.

Dr. Tomasz Szemberg
Linear systems with assigned base loci
Wednesday 23 January 2019,   14:00,   M2 (M233)
I will report on special linear systems on complex projective spaces. Even though the topic is classical and studied for more than 100 years, many important questions are not answered in a satisfactory way.
Algebra Seminar

Julian Weigt
Almost-Orthogonality of Restricted Haar Functions
Wednesday 23 January 2019,   12:15,   M3 (M234)
Seminar on analysis and geometry

Miska Rissanen
Estimates for the spherical maximal function (diploma thesis talk)
Tuesday 22 January 2019,   14:15,   M3 (M234)
Seminar on analysis and geometry

Anastasia Molchanova (Sobolev Institute of Mathematics, Novosibirsk)
Wednesday 16 January 2019,   12:15,   M3 (M234)
Seminar on analysis and geometry

Christian Webb (Aalto University)
When is a random variable close to being normally distributed?
Wednesday 19 December 2018,   16:15,   U3
Further information
Stochastic Sauna 2018

Alexandre Proutiere (KTH, Stockholm)
Clustering in Block Markov Chains
Wednesday 19 December 2018,   15:15,   U3
Further information
Stochastic Sauna 2018

Stefan Geiss (University of Jyväskylä)
Approximation of stochastic integrals, Riemann-Liouville operators, and bounded mean oscillation
Wednesday 19 December 2018,   14:00,   U3
Further information
Stochastic Sauna 2018

Mari Myllymäki (Natural Resources Institute Finland (Luke))
Global envelopes for testing with functional test statistics and functional data analysis
Wednesday 19 December 2018,   13:00,   U3
Further information
Stochastic Sauna 2018

Ioan Manolescu (Université de Fribourg)
Uniform Lipschitz functions on the triangular lattice have logarithmic variations
Wednesday 19 December 2018,   11:00,   U3
Further information
Stochastic Sauna 2018

Luis Alvarez Esteban (University of Turku)
A Class of Solvable Stationary Singular Stochastic Control Problems of Linear Diffusions
Wednesday 19 December 2018,   10:00,   U3
Further information
Stochastic Sauna 2018

Joonas Laihanen
A distribution-based subpopulation framework for statistic estimation
Tuesday 18 December 2018,   15:15,   M2 (M233)
MS-E1609 - Seminar on stochastics and statistics

Istvan Prause
Arctic curves beyond the arctic circle
Monday 17 December 2018,   15:00,   M3 (M234)
The dimer model studies random configurations of perfect matchings (dimer covers) of bipartite planar graphs. Through an associated height function such a configuration is encoded in a random surface. These random surfaces (with a fixed boundary) exhibit limit shape formation: a deterministic limit surface emerges in the macroscopic limit. The imposed boundary condition can have dramatic effect: in certain regions the dimers line up in an ordered fashion (form a frozen facet) and do not look random at all. A prime example of this phenomenon is the arctic circle of domino tilings of the Aztec diamond from 1995. We now have, mostly due to Kenyon et al., a general theory which describes these phenomena in unprecedented detail. The limit shape is described by a convex but singular and degenerate variational problem with a gradient constraint. These features are responsible for facet formation and the appearance of arctic curves. In the talk, I will use the lozenge tiling model (dimer model on the hexagonal lattice) to showcase these issues and address how one can analyse the variational problem.
Aalto Stochastics and Statistics seminar / Ilmonen, Kytölä, Leskelä

Johan Salmelin (Aalto)
Energy disaggregation of electric heating appliances (MSc thesis talk)
Friday 14 December 2018,   11:15,   M3 (M234)

Antti Pöllänen (Aalto)
Optimization of dense Wi-Fi networks via Markov chain models
Monday 10 December 2018,   15:15,   M3 (M234)
MSc thesis presentation.

Michele Miranda (University of Ferrara)
Properties of convex sets in Wiener spaces
Wednesday 05 December 2018,   12:00,   M3 (M234)
We show some recent results on convex sets in Wiener spaces. We characterize the essential and reduced bound- ary of open convex sets and investigate integration by parts formulae. Of particular interest is the investigation of trace theorems for functions of bounded variation on boundaries of subsets in Wiener spaces.
Seminar on analysis and geometry

Eveliina Peltola (University of Geneva)
Crossing Probabilities of Multiple Ising Interfaces
Monday 03 December 2018,   15:15,   M3 (M234)
Crossing Probabilities of Multiple Ising Interfaces The planar Ising model is one of the most studied lattice models in statistical physics. Exhibiting a continuous phase transition, it enjoys conformal invariance in the scaling limit, as has been verified recently in celebrated works initiated by S. Smirnov. In this talk, I discuss crossing probabilities of multiple interfaces in the critical Ising model with alternating boundary conditions. In the scaling limit, they are conformally invariant expressions given by so-called pure partition functions of multiple SLE(kappa) with kappa=3. I also describe analogous results for critical percolation and the Gaussian free field. Joint work with Hao Wu (Yau Mathematical Sciences Center, Tsinghua University)
Aalto stochastics and statistics seminar / Ilmonen, Kytölä, Leskelä

Razane Tajeddine
Private Information Retrieval from Coded Storage
Wednesday 28 November 2018,   13:30,   Tuuma
Mid-term PhD talk.
Mid-term PhD talk

Matthias Grezet
Application of Matroid Theory to Distributed Data Storage Systems
Wednesday 28 November 2018,   13:00,   Tuuma
Mid-term PhD talk.
Mid-term PhD talk

Taoufiq Damir
Well-rounded lattices in wireless communications
Wednesday 28 November 2018,   12:30,   Tuuma
Mid-term PhD talk.
Mid-term PhD talk

Carlos Mudarra (Complutense University of Madrid)
$C^1$ and $C^{1, \omega}$ Whitney's theorems for convex functions
Wednesday 28 November 2018,   12:15,   M3 (M234)
Seminar on analysis and geometry

Prof Tuomo Kuusi (University of Helsinki)
Quantitative Stochastic Homogenization and Large-Scale Regularity
Tuesday 27 November 2018,   15:15,   E
One of the principal difficulties in stochastic homogenization is transferring quantitative ergodic information from the coefficients to the solutions, since the latter are nonlocal functions of the former. In our recent book, jointly with S. Armstrong and J.-C. Mourrat, we have addressed this problem from a new perspective. Essentially, we use recently developed regularity theory for stochastic homogenization to accelerate the weak convergence of the energy density, flux and gradient of the solutions as we pass to larger and larger length scales, until it saturates at the CLT scaling. I will discuss our approach and give, at the same time, an informal introduction to our book.
Department Colloquium

Negin Karimi
Generalized regenerating codes and security of distributed storage system
Wednesday 21 November 2018,   15:15,   M3 (M234)
Traditional regenerating codes are efficient tools to optimize both storage and repair bandwidth in storing data across a distributed storage system, particularly in comparison to erasure codes and data replication. In traditional regenerating codes, the collection of any k nodes can reconstruct the information file and is called the reconstruction set, N_R. Also, a failed node can be regenerated from any d surviving nodes. These collections of d nodes are called the regeneration sets, N_H. The number of reconstruction sets and the number of regeneration sets satisfies N_R= C_n^k and N _H=C_{n-1}^d, where C_n^k denotes "n choose k". In generalized regenerating codes, we will have, 1 \le N_R \le C^k_n and 1 \le N_H \le C_{n-1}^d. In this talk, I address the problem of secure generalized regenerating codes and present a coding scheme by focusing on the features of the generalized regenerating codes that protect data in the distributed storage system in presence of an active omniscient adversary.
ANTA seminar

Aleksis Koski (University of Jyväskylä)
Sobolev homeomorphic extensions
Wednesday 21 November 2018,   12:15,   M3 (M234)
In the mathematical theory of nonlinear elasticity one typically represents elastic bodies as domains in Euclidean space, and the main object of study are deformations (mappings) between two such bodies. The class of acceptable deformations one considers usually consists of Sobolev homeomorphisms between the respective domains, for example, with some given boundary values. It is hence a fundamental question in this theory to ask whether a given boundary map admits a homeomorphic extension in the Sobolev class or not. We share some recent developments on this subject, including sharp existence results and counterexamples.
Seminar on Analysis and Geometry

Title. Firstname Lastname (Home organisation)
Wednesday 14 November 2018,   15:29,   M3 (M234)

Karl Brustad (NTNU, Trondheim)
The dominative p-Laplacian and sublinear elliptic operators
Wednesday 14 November 2018,   12:15,   M3 (M234)
Seminar on analysis and geometry

Olga Kuznetsova
MSc thesis presentation: Private information retrieval with arbitrary collusion patterns
Wednesday 07 November 2018,   15:15,   M3 (M234)
In coded Private Information Retrieval (PIR), a user wants to download a file from a coded database without revealing the identity of the file. We consider the setting where certain subsets of servers collude to deduce the requested file. These subsets form an abstract simplicial complex called the collusion pattern. In this talk we will discuss the combinatorics of the general star product scheme for PIR under the assumption that the database is encoded using a repetition code. Advisor Ragnar Freij-Hollanti, supervisor Camilla Hollanti.
ANTA Seminar

Vito Buffa (University of Ferrara)
New insights into BV Functions and Integration by Parts Formulæ in Metric Measure Spaces
Wednesday 07 November 2018,   12:15,   M3 (M234)
The starting point of our discussion is a notion of BV functions tailored for RCD(K,\infty) metric measure spaces, which makes use of suitable vector fields. This definition motivates both the study of integration by parts formulæ in terms of essentially bounded divergence-measure vector fields in diverse metric settings, and an investigation of the issue of traces of BV functions in the context of a doubling metric measure space supporting a Poincaré inequality. Based on joint works with G. E. Comi (Scuola Normale Superiore, Pisa) and M. Miranda Jr (University of Ferrara).
Seminar on analysis and geometry

Vitaly Skachek (University of Tartu)
[NOTE the unusual time and place!] Batch and PIR Codes and Their Connections to Locally Repairable Codes
Monday 05 November 2018,   14:15,   M205
In this survey talk, we discuss two related families of codes: batch codes and codes for private information retrieval. These two families can be viewed as natural generalizations of locally repairable codes, which were extensively studied in the context of coding for fault tolerance in distributed data storage systems. Bounds on the parameters of the codes, as well as basic constructions, are presented. Connections between different code families are discussed.
ANTA Seminar

Mateo Rendon
An algebraic and combinatorial perspective on rank-one tensor completion
Thursday 01 November 2018,   15:15,   M2 (M233)
Master's thesis presentation

Ratan Kumar Giri (National Institute of Technology Rourkela)
Singular Nonlocal Problem Involving Measure Data
Wednesday 31 October 2018,   12:15,   M3 (M234)
Seminar on analysis and geometry

Prof Chris Brzuska (Aalto University)
Proof Theory for Cryptography
Tuesday 30 October 2018,   15:15,   E
Most of our cryptography is not perfectly unbreakable. Given enough time, one could, theoretically, perform an exhaustive search over the key space and e.g., decrypt messages intended for another receiver. Modern cryptography, thus, relies on computationally hard problems that (are conjectured to) require an exorbitant amount of computation to solve. Complex systems such as TLS, the backbone of secure communication on the internet, rely on quite a number of such hard problems, and the protocol itself has a specification of over 100 pages. The relation between the protocol security (in a model) and the underlying assumptions needs to be established via a rigorous reduction proof. Due to the complexity of the protocols, the reduction proofs for modern protocols escape what a human can grasp. Therefore, in recent years, the proofs have been partially delegated to computers which, to be fair, also struggle with the tremendous complexity. We propose a new level of abstraction that allows to recover human understanding of security reductions for complex protocols and show how to apply it to the new TLS 1.3 standard (ongoing work). Joint work with Ben Dowling, Antoine Délignat-Lavaud, Cédric Fournet, Konrad Kohbrok & Markulf Kohlweiss
Department Colloquium

Prof. Luka Grubisic, University of Zagreb
Analysis of an eigenvalue problem on a metric graph
Friday 26 October 2018,   14:15,   M2 (M233)
We analyze a second order constrained eigenvalue problem on a metric graph. The underlying vector valued differential operator originates in the vibration analysis in the modelling of endovasular stents. We also study the dynamical problem for such a configuration and show that standard DAE integrators can solve the problem well. This is a joint work with V. Mehrmann and J. Tambaca.

Razane Tajeddine and Lukas Holzbaur
On private keyword and stream search
Wednesday 24 October 2018,   15:15,   M3 (M234)
In the first part of the talk, we discuss private keyword search (PKS). Some work has been done to ensure privacy for the user when searching for keywords from a distributed storage system. In the second part of the talk, we discuss the concept of private search on streaming data (PSS), and its connection to PIR and PKS on the example of a scheme given by Ostrovsky et al. The problem of private search on streaming data (PSS) has been considered under various cryptographic assumptions, e.g. by means of homomorphic cryptosystems and public-key program obfuscation.
ANTA seminar

Hans Tylli (University of Helsinki)
Structural rigidity of generalised Volterra operators on Hardy spaces
Wednesday 24 October 2018,   12:15,   M3 (M234)
will describe generalised analytic Volterra operators T_g on the Hardy spaces H^p over the unit disk D for 1 \le p < \infty, where T_gf(z) = \int_0^z f(w)g'(w) dw, for z in D and f in H^p. Above the analytic map g from BMOA is the symbol of T_g. The systematic study of this class of operators was initiated by Aleman, Cima and Siskakis around 1995. Earlier certain T_g were used by Pommerenke (1977) and the class contains e.g. a version of the classical Cesaro averaging operator, which is obtained with g(z) = - \log(1-z). I will focus attention on recent work on the structural rigidity of the class of non-compact operators T_g on H^p for p different from 2. The main result says that if T_g defines an isomorphism from M to T_g(M) for the infinite-dimensional closed subspace M of H^p, then M contains a subspace linearly isomorphic to the sequence space \ell^p. In particular, this implies that the non-compact Volterra operators T_g have a quite restricted range of linear qualitative behaviour compared to that of arbitrary bounded operators on H^p (for p different from 2). This is joint work with Santeri Miihkinen (Åbo), Pekka Nieminen (Turku) and Eero Saksman (Helsinki).
Seminar on Analysis and Geometry

Vasiliki Evdoridou (The Open University, UK)
Singularities of inner functions and entire maps of finite order
Wednesday 17 October 2018,   12:15,   M3 (M234)
Let f be a transcendental entire function of finite order and U an unbounded, invariant Fatou component of f. We can associate an inner function, g say, to the restriction of f to U. We will show that for two classes of entire functions whose set of singular values is bounded, the number of singularities of g on the unit circle is at most twice the order of f. This is joint work with N. Fagella, X. Jarque and D. Sixsmith.
Seminar on analysis and geometry

Arttu Karppinen (University of Turku)
Higher integrability of the gradient of a minimizer with generalized Orlicz growth
Wednesday 10 October 2018,   12:15,   M3 (M234)
In this talk we prove global higher integrability of a minimizer of an obstacle problem with generalized Orlicz growth conditions. This recovers the similiar results of the special cases such as polynomial, variable exponent and double phase growth.
Seminar on Analysis and Geometry

Augusto Gerolin (University of Jyväskylä)
Kantorovich Duality in Optimal Transport Theory with repulsive costs
Wednesday 03 October 2018,   12:15,   M3 (M234)
Seminar on Analysis and Geometry

Juha-Pekka Puska
Optimizing heating patterns in thermal tomography
Thursday 27 September 2018,   14:15,   M2 (M233)

Christoph Scheven (University of Duisburg-Essen)
The obstacle problem for the porous medium equation: Existence and regularity results
Wednesday 26 September 2018,   12:15,   M3 (M234)
In the talk we will present some results on existence and regularity of solutions to the obstacle problem associated to the porous medium equation. In particular, we will report on recent results concerning the higher integrability of the spatial gradient of solutions.
Seminar on analysis and geometry

Prof Matthieu Jonckheere (University of Buenos Aires)
Distance learning using Euclidean percolation: Following Fermat's principle
Tuesday 25 September 2018,   15:15,   E
In unsupervised statistical learning tasks such as clustering, recommendation, or dimension reduction, a notion of distance or similarity between points is crucial but usually not directly available as an input. We discuss recent techniques to infer a metric from observed data. Then we propose a new density-based estimator for weighted geodesic distances that takes into account the underlying density of the data, and that is suitable for nonuniform data lying on a manifold of lower dimension than the ambient space. The consistency of the estimator is proven using tools from first passage percolation. After discussing its properties and implementation, we evaluate its performance for clustering tasks.
Department Colloquium

Verena Bögelein (University of Salzburg)
Higher integrability for doubly nonlinear evolution equations
Wednesday 19 September 2018,   12:15,   M3 (M234)
In this talk we establish the higher integrability of the spatial gradient of weak solutions to doubly nonlinear evolution equations.
Seminar on analysis and geometry

Jens Zumbrägel (Universität Passau)
Indiscrete Logarithms?
Thursday 13 September 2018,   15:15,   M2 (M233)
The modern public-key cryptography, as originated from the seminal work by Diffie and Hellman, is since connected with the difficulty of the discrete logarithm problem. However, for finite fields of small characteristic, this problem turns out to be not as intractable as thought for a long time. In fact, some striking observations have recently led to considerable record computations and severe consequences for the security of certain cryptosystems. This talk aims to illustrate the main mathematical ideas behind these rather new developments.
ANTA seminar

Prof. Stefano Giani (Durham)
High-Order/hp-Adaptive Multilevel Discontinuous Galerkin Methods
Tuesday 04 September 2018,   14:00,   M2 (M233)
After a brief introduction on discontinuous Galerkin (DG) methods I describe the DG composite finite element (DGCFE) method, a DG multilevel method with hp-adaptivity. The main advantage of this multilevel method is that the number of degrees of freedom of the finite element space is independent of the presence of complicated or tiny features in the domain. In other words, even on a very complicated domain, an approximation of the solution can be computed with only a fistful of degrees of freedom. Unlikely other multilevel methods, this method does not perturb the problem, in the sense that the problem solved on the coarse mesh is always a discretization of the DG weak form of the problem, no matter how coarse the mesh is. The hp-adaptivity algorithm for the DGCFE method is completely automatic and capable of exploiting both local polynomial-degree-variation (p-refinement) and local mesh subdivision (h-refinement), thereby offering greater flexibility and efficiency than numerical techniques which only incorporate h-refinement or p-refinement alone. Two types of error estimators are used to drive the adaptivity: an explicit one and an implicit one based on a duality argument. In the latter case, the element residuals of the computed numerical solution are multiplied by local weights involving the solution of a certain dual or adjoint problem. The performance of the hp-refinement algorithm is demonstrated through a series of numerical experiments. DGCFE can also be used to solve problems on polygonal meshes. This will be shown for elliptic eigenvalue problems.

Veli Kangas
Informaatioteoreettinen tarkastelu neuroverkoista
Thursday 30 August 2018,   15:15,   M3 (M234)

Joona Savela
On Feature Extraction of Multispectral Mobile Laser Scanner Data
Thursday 30 August 2018,   14:15,   M3 (M234)

Mikko Karjalainen (Imaqen Ltd)
Time-series registration of thermal breast images
Thursday 30 August 2018,   13:15,   M2 (M233)
Master's thesis presentation

Jaakko Visti
Group theory in image classification
Thursday 30 August 2018,   13:15,   M3 (M234)
BSc presentation. Advised by Laia Amoros.

Jaakko Visti
Group theory in image classification
Thursday 30 August 2018,   13:15,   M3 (M234)

Onni Pohjavirta
Multi-p methods for the p-version of finite element method
Thursday 30 August 2018,   11:15,   M2 (M233)

Marco Fiorucci (Ca' Foscari U, Venice)
Graph Summarization Using Regular Partitions
Thursday 30 August 2018,   11:15,   M3 (M234)
The world we live in is becoming more and more interconnected and huge amounts of data are produced and stored every day by different interrelated entities. This high-throughput generation calls for the development of efficient algorithms to understand and process large and noisy network data. To address this challenging task, we develop a principled approach to summarize (compress) large graphs based on regular partitions, the existence of which was first established in a celebrated result proved by Endre Szemerédi in the mid-1970. A regular partition is defined as a partition of the vertex set into a bounded number of random-like bipartite graphs, called regular pairs. In particular, a regular pair is a highly uniform bipartite graph in which the density of any reasonably sized subgraphs is about the same as the overall density of the bipartite graph. In this talk, I will provide an overview of the regularity lemma and will discuss its potential usefulness in real-world applications.
Aalto Stochastics & Statistics Seminar

Tuukka Piipponen
Reitin estimointi Kalman-suotimen avulla
Thursday 30 August 2018,   10:15,   M2 (M233)

Tero Hyytiäinen
Kneser graphs that are Folkman
Tuesday 28 August 2018,   14:15,   M3 (M234)

Teemu Mäki
Betti Diagrams of Perfect Graphs
Tuesday 28 August 2018,   13:15,   M3 (M234)

Essi Rantanen
Quasi-Monte Carlo
Tuesday 28 August 2018,   12:15,   M3 (M234)

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