Seminars
May 10, 2023: 16:15, Research Seminar Data Science Foundations
Giulia Bertagnolli (University of Trento)
Random walks on networks (toward information geometry)
Location: Blohmstraße 15 (HIP One), 5th Floor, Room 5.002
Abstract
Complex physical and social systems find a handy representation in terms of graphs, which, in this context, are called complex networks. Entities in these systems naturally “communicate”, or exchange “information”, e.g., a group of people interacting via email or sharing links, liking posts, and following each other on social platforms, exchange information as part of their social life. Neurons, connected by synapses and fibre bundles, exchange of neuro-physiological signals, enabling cognition. In fish schools, aggregations of fish, who come together in an interactive, social way, the (possibly passive) communication between fish allows them to act as a super-system. All complex systems show some emergent behaviour that cannot be ascribed to the actions and behaviour of their individual components. This emergent behaviour is a function of both the interaction patterns, i.e. the links in the graph, and the communication strategy, which can be modelled as a dynamical process on the network. In this talk, we will see, firstly, how Markovian random walks on networks model diffusion dynamics in the complex system and why this approach is useful in network science. Then, we will see an example of non-Markovian random walk, which mimics the run-and-tumble motion of bacteria. Eventually, it should become clear how this led me here, trying to learn information geometry.
April 19, 2023: 15:00, Research Seminar Data Science Foundations
Jabob J. W. Bakermans (University of Oxford)
Compositional planning by making memories of the future
Location: Blohmstraße 15 (HIP One), 5th Floor, Room 5.002
Abstract
Hippocampus is critical for memory, imagination, and constructive reasoning. However, recent models have suggested that its neuronal responses can be well explained by state-spaces that model the transitions between experiences. How do we reconcile these two views? I’ll show that if state-spaces are constructed compositionally from existing primitives, hippocampal responses can be interpreted as compositional memories, binding these primitives together. Critically, this enables agents to behave optimally in novel environments with no new learning, inferring behaviour directly from the composition. This provides natural interpretations of generalisation and latent learning. Hippocampal replay can build and consolidate these compositional memories, but importantly, due to their compositional nature, it can construct states it has never experienced – effectively building memories of the future. This enables new predictions of optimal replays for novel environments, or after structural changes.
March 17, 2023: 15:00, Research Seminar Data Science Foundations
Minh Ha Quang (RIKEN Center for Advanced Intelligence Project (AIP))
An information geometric and optimal transport framework for Gaussian processes
Location: Blohmstraße 15 (HIP One), 5th Floor, Room 5.002
Abstract
Information geometry (IG) and Optimal transport (OT) have been attracting much research attention in various fields, in particular machine learning and statistics. In this talk, we present results on the generalization of IG and OT distances for finite-dimensional Gaussian measures to the setting of infinite-dimensional Gaussian measures and Gaussian processes. Our focus is on the Entropic Regularization of the 2-Wasserstein distance and the generalization of the Fisher-Rao distance and related quantities. In both settings, regularization leads to many desirable theoretical properties, including in particular dimension-independent convergence and sample complexity. The mathematical formulation involves the interplay of IG and OT with Gaussian processes and the methodology of reproducing kernel Hilbert spaces (RKHS). All of the presented formulations admit closed form expressions that can be efficiently computed and applied practically. The theoretical formulations will be illustrated with numerical experiments on Gaussian processes.
February 01, 2023: 15:00, Research Seminar Data Science Foundations
Christian Gumbsch (Max Planck Institute for Intelligent Systems and University of Tübingen)
Events – Learning Latent Codes for Hierarchical Prediction and Generalization
Location: Blohmstraße 15 (HIP One), 5th Floor, Room 5.002
19.10.2022: 15:00 Uhr, Research Seminar Data Science Foundations
Nihat Ay (Hamburg University of Technology)
Die Klugheit der Dinge
Location: Blohmstraße 15 (HIP One), 5th Floor, Room 5.002
More info: Stud.IP
17.11.2021: 9:30 Uhr, Research Seminar Data Science Foundations
Johannes Rauh (MPI for Mathematics in the Sciences, Leipzig and Federal Institute for Quality and Transparency in Healthcare, Berlin)
Uncertainty and Stochasticity of Optimal Policies
Location: Blohmstraße 15 (HIP One), 5th Floor, Room 5.002
Abstract
We are interested in optimal action selection mechanisms, policies, that maximize an expected long term reward. Our main model are POMDPs (Partially Observed Markov Decision Problems). While the optimal policy can be stochastic in the general case, we find conditions under which the optimal policy is deterministic, at least for some observations, or under which the stochasticity can be bounded. This talk presents joint work with Guido Montúfar and Nihat Ay.
14.06.2021, 17:00 Uhr, Seminar within the Machine Learning in Engineering initiative MLE@TUHH
Nihat Ay (Hamburg University of Technology)
Information Geometry for Deep Learning
The following seminars were co-organised and took place at the Max Planck Institute for Mathematics in the Sciences.
19.03.2021, 16:00 Uhr, Mathematics of Data Seminar
Stefanie Jegelka (Machine Learning Group at MIT, USA)
Representation and Learning in Graph Neural Networks
The seminar is cancelled.
04.08.2020, 11:00 Uhr, Mathematics of Data Seminar
Marco Mondelli (IST Austria)
Understanding Gradient Descent for Over-parameterized Deep Neural Networks
20.07.2020, 17:00 Uhr, Mathematics of Data Seminar
Franca Hoffmann (California Institute of Technology)
Kalman-Wasserstein Gradient Flows
04.02.2020, 11:00 Uhr, Special Seminar
Xerxes Arsiwalla (Pompeu Fabra University Barcelona, Spain)
Extending Integrated Information Theories for Cognitive Systems
10.12.2019, 16:45 Uhr, Chalk Talk – Mathematics of Data Seminar
Mikhail Belkin (The Ohio State University, USA)
Chalk Talk: What’s next for machine learning? Some thoughts toward a unified theory of supervised inference.
14.11.2019, 11:00 Uhr, Mathematics of Data Seminar
Kathlén Kohn (KTH Royal Institute of Technology, Stockholm)
The geometry of neural networks
23.10.2019, 11:00 Uhr, Mathematics of Data Seminar
Věra Kůrková (Institute of Computer Science, Czech Academy of Sciences, Czech Republic)
Lower Bounds on Complexity of Shallow Networks
18.09.2019, 11:00 Uhr, Mathematics of Data Seminar
Vladimir Temlyakov (University of South Carolina)
Supervised learning and sampling error of integral norms in function classes
16.07.2019, 11:00 Uhr, Mathematics of Data Seminar
Lamiae Azizi (The University of Sydney)
A Mathematical trip into the Data Science realm
This seminar is cancelled.
28.05.2019, 11:15 Uhr, Mathematics of Data Seminar
Nicolas Garcia Trillos (Department of Statistics, University of Wisconsin-Madison, USA)
The use of geometry to learn from data, and the learning of geometry from data.
10.04.2019, 11:00 Uhr, Mathematics of Data Seminar
Gabriel Peyré (CNRS and Ecole Normale Supérieure, Paris, France)
Computational Optimal Transport for Data Sciences
07.03.2019, 11:00 Uhr, Mathematics of Data Seminar
Stefania Petra (Universität Heidelberg)
Compressed Sensing – From Theory To Practice
14.02.2019, 11:00 Uhr, Mathematics of Data Seminar
Felix Krahmer (Technische Universität München)
Blind deconvolution with randomness – convex geometry and algorithmic approaches
28.01.2019, 11:00 Uhr, Mathematics of Data Seminar
Nils Bertschinger (Frankfurt Institute for Advanced Studies – FIAS, Germany)
A geometric structure underlying stock correlations
08.11.2018, 11:00 Uhr, Mathematics of Data Seminar
Benjamin Fehrmann (University of Oxford)
Convergence rates for mean field stochastic gradient descent algorithms
27.09.2018, 11:00 Uhr, Mathematics of Data Seminar
Max von Renesse (Universität Leipzig)
Topics in Deterministic and Stochastic Dynamical Systems on Wasserstein Space
14.08.2018, 16:30 Uhr, Mathematics of Data Seminar
Afonso Bandeira (Courant Institute of Mathematical Sciences, New York)
Statistical estimation under group actions: The Sample Complexity of Multi-Reference Alignment
11.07.2018, 15:30 Uhr, Mathematics of Data Seminar
Harald Oberhauser (University of Oxford)
Learning laws of stochastic processes
18.06.2018, 15:30 Uhr, Mathematics of Data Seminar
Anna Seigal (University of California, Berkeley)
Structured Tensors and the Geometry of Data
14.05.2018, 14:00 Uhr, Seminar on Theory of Embodied Intelligence
Keyan Ghazi-Zahedi (MPI MIS, Leipzig)
Quantifying Morphological Computation
02.05.2018, 11:00 Uhr, Mathematics of Data Seminar
Steffen Lauritzen (University of Copenhagen, Denmark)
Max-linear Bayesian networks
24.04.2018, 15:30 Uhr, Mathematics of Data Seminar
Benjamin Recht (University of California, Berkeley)
The statistical foundations of learning to control
22.03.2018, 14:00 Uhr, Information Geometry Seminar
Dimitri Marinelli (Romanian Institute of Science and Technology – RIST, Romania)
Quantum Information Geometry and Boltzmann Machines
08.01.2018, 14:00 Uhr, LikBez Seminar
Nihat Ay (MPI MIS, Leipzig)
Causal Inference II
04.12.2017, 11:00 Uhr, Special Seminar
Wolfgang Löhr (TU Chemnitz)
Continuum limits of tree-valued Markov chains and algebraic measure trees
27.11.2017, 14:00 Uhr, Seminar on Theory of Embodied Intelligence
Fabio Bonsignorio (Scuola Superiore Sant’Anna, Pisa, Italy)
Modeling of Networked Embodied Cognitive Processes
10.11.2017, 11:45 Uhr, Information Geometry Seminar
Jun Zhang (University of Michigan-Ann Arbor, USA)
Statistical Manifold and Entropy-Based Inference
16.10.2017, 14:00 Uhr, Information Geometry Seminar
Luigi Malagò (Romanian Institute of Science and Technology – RIST, Romania)
From Natural Gradient to Riemannian Hessian: Second-order Optimization over Statistical Manifolds
10.05.2017, 14:00 Uhr, Information Geometry Seminar
Domenico Felice (University of Camerino, Italy)
Hamilton-Jacobi approach to Potential Functions in Information Geometry
25.11.2016, 15:30 Uhr, Special Seminar
František Matúš (Czech Academy of Sciences, Prague, Czech Republic)
Polyquantoids and quantoids: quantum counteparts of polymatroids and matroids
28.06.2016, 15:30 Uhr, Seminar on Theory of Embodied Intelligence
Daniel Polani (University of Hertfortshire, United Kingdom)
On Information and the Drivers of Cognition
10.05.2016, 11:00 Uhr, Seminar on Theory of Embodied Intelligence
Roy Fox (School of Computer Science and Engineering, Hebrew University, Israel)
Minimum-Information Planning in Partially-Observable Decision Problems
30.03.2016, 11:00 Uhr, Seminar on Theory of Embodied Intelligence
Daniel Häufle (Stuttgart Research Center for Simulation Technology, University of Stuttgart, Germany)
Musculo-Skeletal Models of Human Movement: Tools to Quantify Embodiment
21.01.2016, 11:00 Uhr, Seminar on Theory of Embodied Intelligence
Daniel Häufle (Stuttgart Research Center for Simulation Technology, University of Stuttgart, Germany)
Musculo-Skeletal Models of Human Movement: Tools to Quantify Embodiment
This talk is canceled!
09.11.2015, 14:00 Uhr, Arbeitsgemeinschaft NEURONALE NETZE UND KOGNITIVE SYSTEME
Tomas Veloz (University of British Columbia, Canada)
Toward a Quantum Theory of Cognition: History, Development and Perspectives
08.04.2015, 14:00 Uhr, Special Seminar
Sajad Saeedinaeeni (Universität Leipzig)
On asymptotic optimality of ML-type detectors in quantum hypothesis testing
17.03.2015, 14:00 Uhr, Special Seminar
Peter Gmeiner (Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany)
Information-Theoretic Cheeger Inequalities
10.03.2015, 11:00 Uhr, Seminar on Theory of Embodied Intelligence
Benjamin Friedrich (Max-Planck-Institut für Physik komplexer Systeme, Dresden)
Intelligent motility control of biological swimmers
18.02.2015, 14:00 Uhr, Special Seminar
Ryszard Kostecki (Perimeter Institute for Theoretical Physics, Waterloo, Canada)
Quantum information geometry as a foundation for quantum theory beyond quantum mechanics
19.01.2015, 11:00 Uhr, Seminar on Theory of Embodied Intelligence
Oliver Brock (Technische Universität Berlin, Robotics and Biology Laboratory)
Towards an Alchemy of Intelligence
15.01.2015, 10:30 Uhr, Special Seminar
František Matúš (Academy of Sciences of the Czech Republic, Institute of Information Theory and Automation)
Algebraic Problems Related to Entropy Regions