Konferenzen zum Thema Angewandte Mathematik (allgem.) in den Vereinigten Staaten (USA)

Institute for Pure and Applied Mathematics (IPAM), UCLA

Rapid advances in deep learning techniques are starting to revolutionize medical imaging. Radiology, disease detection, and tissue imaging are all expected to be facilitated by automated image analysis programs in the near future. Many new interdisciplinary research questions arise; finding solutions with practical significance requires input from mathematicians, bio-physicists, and computational engineers. This workshop aims to bring together researchers from different backgrounds to explore this new frontier of science.

Neuronale Netze und Künstliche Intelligenz, Maschinelles Lernen,    Mustererkennung und Bildverarbeitung, Maschinelles Sehen

Institute for Pure and Applied Mathematics (IPAM), UCLA

Applications that involve HJ PDEs in a high-dimensional (and possibly infinite-dimensional) setting lead to challenging computational problems. Although a large literature is available on HJ PDEs, many challenges remain both from a mathematical and computational point of view. The program will open with one week of tutorials, presented by some of the main organizers. These tutorials will provide an introduction to the major themes of the entire program and connect the themes of the four workshops. The goal is to introduce a common language and build a foundation for the participants of this program who have diverse scientific backgrounds. During the weeks between workshops, participants in residence will develop collaborations; we expect fruitful discussions especially between domain scientists, algorithm developers and pure and applied mathematicians.

Infinitesimalrechnung, Differentialgleichungen, Integralrechnung,    Kurse und Veranstaltungen für Studenten der Mathematik

The SouthEastern Analysis Meeting has been established as one of the principal annual events bringing together seasoned scholars and junior researchers to discuss various areas of analysis, including functional analysis, operator theory, complex analysis, harmonic analysis, and their applications.

Analysis,    Infinitesimalrechnung, Differentialgleichungen, Integralrechnung

Institute for Pure and Applied Mathematics (IPAM), UCLA

Ideas to be explored in the workshop include different computational methodologies for efficient real-time solution of nonlinear HJ equations in reachability, optimal control, and differential games. Ideas such as efficient reduced-complexity computation of optimal control solutions, exploiting structure to decompose the solution space to scalable computations and reduced-complexity feedback structures for efficient implementation of optimal controllers based on available data will be considered.

Infinitesimalrechnung, Differentialgleichungen, Integralrechnung,    Kurse und Veranstaltungen für Studenten der Mathematik

Institute for Pure and Applied Mathematics (IPAM), UCLA

This workshop will bring together researchers with background in PDEs, Inverse Problems, and Scientific Computing who are already working in machine learning, along with researchers who are interested in these approaches.

Infinitesimalrechnung, Differentialgleichungen, Integralrechnung,    Kurse und Veranstaltungen für Studenten der Mathematik

Institute for Pure and Applied Mathematics (IPAM), UCLA

This week-long workshop on Mean Field Games (MFG) and Applications for has a number of goals: (i) to gather together leading researchers in MFG and certain cognate areas (economics, optimal transportation, finite dimensional Hamilton-Jacobi equations, Stochastic equations, applied control, numerics). (ii) to expose new researchers to the promise of the field and its array of challenges, while grounding them in its basic techniques; (iv) to make available to the wider community a series of broad interest talks on MFG.

Infinitesimalrechnung, Differentialgleichungen, Integralrechnung,    Kurse und Veranstaltungen für Studenten der Mathematik

The SIAM Conference on Mathematics of Data Science is co-located with the SIAM International Conference on Data Mining (SDM20), May 7-9, 2020.

University of Texas at Dallas

The conference will discuss the recently developed geometric methods of functional analysis that played significant role in understanding the behavior of mathematical models of natural phenomena. The topics of the conference include (but are not limited to): - Topological and variational methods of Nonlinear Analysis; - Method of monotone operators and monotone systems; - Bifurcation theory; - Methods of Functional Analysis in PDE and FDE; - Topological methods of Mathematical Physics; - Systems with symmetries; - Dynamics of non-smooth systems and systems with hysteresis; - Applications in Physics, Biology, and Engineering. Please contact Dr Oleg Makarenkov at makarenkov@utdallas.edu for any questions concerning the conference.

Topological and variational methods of Nonlinear Analysis; - Method of monotone operators and monotone systems; - Bifurcation theory; - Methods of Functional Analysis in PDE and FDE; - Topological methods of Mathematical Physics; - Systems with symmetries; - Dynamics of non-smooth systems and systems with hysteresis; - Applications in Physics, Biology, and Engineering.

Institute for Pure and Applied Mathematics (IPAM), UCLA

In spite of its flexibility, computing nonlinear problems in random media is very expensive. Hence, in practice, it is needed to consider environments which are small random perturbations of periodic ones, and then to obtain some asymptotic expansion for the ergodic constants. Concrete examples of such phenomena that relate to Hamilton-Jacobi equations are large deviations, front propagation and random walks in random media. The latter strengthens the connection with probability.

Infinitesimalrechnung, Differentialgleichungen, Integralrechnung,    Kurse und Veranstaltungen für Studenten der Mathematik

Sponsored by the SIAM Activity Group on Mathematics of Planet Earth. Climate change, biodiversity, infectious diseases, sustainability, energy, food, and water are among the areas of greatest global concern. The SIAM Activity Group on Mathematics of Planet Earth (SIAG/MPE) provides a forum for mathematicians and computational scientists engaged in these critical priority areas. The interests of SIAG/MPE span the range from developing quantitative techniques to providing policy makers with tools for qualitative decision support.

Geophysik und Geologie,    Meteorologie und Klimaveränderung

American Statistical Association

ICES has been running for more than 20 years. Information about its origins and development was included in the introduction to the December 2014 special issue of the Journal of Official Statistics, which presented papers from ICES-IV.

Methods and Practices for Statistics on Businesses, Farms, and Institutions

Mathematical Sciences Research Institute (MSRI)

The purpose of this two weeks school is to introduce graduate students to the state of the art methods and results in the study of incompressible Euler's equations in general, and water waves in particular. This is a research area which is highly relevant to many real life problems, and in which substantial progress has been made in the last decade.

Kurse und Veranstaltungen für Physikstudenten,    Infinitesimalrechnung, Differentialgleichungen, Integralrechnung

IPAM

This workshop will bring together researchers working on the theoretical sides of deep learning techniques for perception and control of automated vehicles with researchers interested in assuring these autonomous systems operate with safety guarantees. Moreover, experts in sensing and imaging technology will be brought to the table, to cover the full pipeline from the collection of the data, over the AI theory and development, all the way to the software and actuation challenges. Additional themes addressed in this workshop include interactions between vehicle sensing and the infrastructure, and cybersecurity aspects related to sensing and machine learning (how to purposefully mislead sensors and AI).

Part of the Long Program Mathematical Challenges and Opportunities for Autonomous Vehicles

Neuronale Netze und Künstliche Intelligenz, Maschinelles Lernen,    Robotik, Automatisierung & Mechatronik

Mathematical Sciences Research Institute (MSRI)

The workshop will address topics in the PDE analysis of the basic equations of the incompressible fluid dynamics (the Euler equations for inviscid flows, the Navier Stokes equations for viscous flows), interface problems (water waves), and other related equations. Open problems and connections to related branches of mathematics will be discussed, including the phenomena of turbulence and the zero viscosity limit. Both theoretical and numerical aspects of these topics will be considered. There will be some colloquium style lectures as well as shorter research talks. The workshop is open to all.

Society for Industrial and Applied Mathematics (SIAM)

Sponsored by the SIAM Activity Group on Computational Science and Engineering.

UCLA / IPAM

Linear algebra is an essential tool in mathematics, science, and engineering, as almost all natural processes are linear in small increments. The most natural generalization of linear algebra is multilinear algebra where matrices are replaced by tensors. While exciting results have emerged from various research communities, there has not been much exchange and collaboration between theoreticians and developers of practical algorithms. The aim of this long term program is to bring together experts and junior participants from different fields and experiences, to exchange ideas, tackle challenges, collaborate, and advances the general field of tensor methods. We foresee this program to be a milestone platform for the future development of the research area and to have a long standing impact.

UCLA / IPAM

This workshop aims to bring together experts from different communities working on tensor methods and their applications. Tensors and tensor networks are an important object of study in computational many-body physics and chemistry as well as quantum information theory. With the emergence of big data, methods and theory for tensor decomposition have become important in probability, statistics, and machine learning as well. Tensor methods have also received a fair amount of attention from the mathematical community due to their intriguing algebraic and geometric properties, as well as their relationship to computational complexity. This workshop will feature introductory talks from leading experts in all of these fields. The aim of the workshop is to initiate the exchange of ideas between the fields, lead to the beginnings of new interdisciplinary collaborations, and give a good start to the long-term program.

Mathematical Sciences Research Institute (MSRI)

The aim of the workshop is to bring together a broad array of researchers working on incompressible fluid dynamics. Some of the key topics to be covered are Euler flows, Navier Stokes equations as well as water wave flows and associated model equations. Some emphasis will also be placed on numerical analysis of the above evolutions.

UCLA / IPAM

Due to their high complexity, our understanding of strongly correlated quantum many-body systems is still limited. This concerns, for example, both static and dynamical equilibrium properties of fermionic systems and quantum magnets in condensed matter physics, as well as complex molecules with strong entanglement in quantum chemistry. Other big challenges are the analysis of non-equilibrium dynamics of closed systems, systems interacting with an environment, and transport problems. Tensor network states such as MPS, TTN, PEPS, and MERA are designed to capture the structure of entanglement in quantum systems in compressed representations. They are also particularly well-suited for the study of topological ordered phases of matter which cannot be described within the framework of spontaneous symmetry breaking. A better mathematical understanding of approximate tensor network representations is emerging for cycle-free networks like MPS and TTN.

UCLA / IPAM

This workshop aims to bring together researchers with different expertise to exchange ideas on designing computational methods for various tensor problems. One of the main features will be a focus on rigorous algorithms for which one may guarantee convergence to a global solution under reasonable conditions. Topics will include provable algorithmic guarantees in terms of computational efficiency and robustness, algorithmic techniques like spectral methods, iterative methods for nonconvex optimization, and powerful convex relaxation hierarchies like sum-of-squares, etc, where correctness guarantees may be established under suitable assumptions motivated by applications. A secondary goal is to better delineate and understand the boundary separating the possible from the impossible in tensor computations — computational tractability vs intractability, existence/uniqueness vs nonexistence/nonuniqueness of solutions, tameness vs wildness, etc.

Mathematical Sciences Research Institute (MSRI)

The talks in this workshop will present a wide array of current applications of topology in neuroscience, including classification and synthesis of neuron morphologies, analysis of synaptic plasticity, algebraic analysis of the neural code, topological analysis of neural networks and their dynamics, topological decoding of neural activity, diagnosis of traumatic brain injuries, and topological biomarkers for psychiatric disease. Some of the talks will be devoted to promising new directions in algebraic topology that have been inspired by neuroscience.

UCLA / IPAM

The first emphasis of this workshop will be on the theory of recovering efficient tensor representations from empirical data, as studied e.g. in the context of low-rank tensor completion or matrix-product state learning. We will focus both on algorithmic and on statistical aspects. The second emphasis of the workshop will be on applications of efficient tensor representations to theoretical computer science, particularly computational complexity theory. A closely related area that will also be covered is the resource theory of tensors in quantum information theory.

Society for Industrial and Applied Mathematics (SIAM)

Wissenschaftliches Rechnen,    Massenspektrometrie, Chromatographie und Kernspinresonanzspektroskopie

Wissenschaftliches Rechnen,    Massenspektrometrie, Chromatographie und Kernspinresonanzspektroskopie