Publications (159)
Path constrained unbalanced optimal transport
Martin Bauer, Nicolas Charon, Tom Needham +1
Dynamical formulations of optimal transport (OT) frame the task of comparing distributions as a variational problem which searches for a path between distributions minimizing a kin…
Light Dark Matter Annihilation and Scattering in LHC Detectors
Martin Bauer, Patrick Foldenauer, Peter Reimitz +1
We systematically study models with light scalar and pseudoscalar dark matter candidates and their potential signals at the LHC. First, we derive cosmological bounds on models with…
Diphoton Resonance from a Warped Extra Dimension
Martin Bauer, Clara Hoerner, Matthias Neubert
We argue that extensions of the Standard Model (SM) with a warped extra dimension, which successfully address the hierarchy and flavor problems of elementary particle physics, can…
Can we run to infinity? The diameter of the diffeomorphism group with respect to right-invariant Sobolev metrics
Martin Bauer, Cy Maor
The group of diffeomorphisms of a closed manifold is naturally equipped with various right-invariant Sobolev norms . Recent work s…
Towards the next generation of simplified Dark Matter models
Andreas Albert, Martin Bauer, Oliver Buchmueller +23
This White Paper is an input to the ongoing discussion about the extension and refinement of simplified Dark Matter (DM) models. Based on two concrete examples, we show how existin…
Moving Charged Particles in Lattice Boltzmann-Based Electrokinetics
Michael Kuron, Georg Rempfer, Florian Schornbaum +4
The motion of ionic solutes and charged particles under the influence of an electric field and the ensuing hydrodynamic flow of the underlying solvent is ubiquitous in aqueous coll…
Diffeomorphic density registration
Martin Bauer, Sarang Joshi, Klas Modin
In this book chapter we study the Riemannian Geometry of the density registration problem: Given two densities (not necessarily probability densities) defined on a smooth finite di…
Geometric investigations of a vorticity model equation
Martin Bauer, Boris Kolev, Stephen C. Preston
This article consists of a detailed geometric study of the one-dimensional vorticity model equation $$Ï_{t} + uÏ_{x} + 2Ïu_{x} = 0, \qquad Ï= H u_{x}, \qquad t\in\mathbb{R},\;…
The Z-Gromov-Wasserstein Distance
Martin Bauer, Facundo Mémoli, Tom Needham +1
The Gromov-Wasserstein (GW) distance is a powerful tool for comparing metric measure spaces which has found broad applications in data science and machine learning. Driven by the n…
A new variational model for shape graph registration with partial matching constraints
Yashil Sukurdeep, Martin Bauer, Nicolas Charon
This paper introduces a new extension of Riemannian elastic curve matching to a general class of geometric structures, which we call (weighted) shape graphs, that allows for shape…
Strong Solutions of Mean-Field SDEs with irregular expectation functional in the drift
Martin Bauer, Thilo Meyer-Brandis
We analyze multi-dimensional mean-field stochastic differential equations where the drift depends on the law in form of a Lebesgue integral with respect to the pushforward measure…
The Square Root Velocity Framework for Curves in a Homogeneous Space
Zhe Su, Eric Klassen, Martin Bauer
In this paper we study the shape space of curves with values in a homogeneous space , where is a Lie group and is a compact Lie subgroup. We generalize the square…
Hunting the Flavon
Martin Bauer, Torben Schell, Tilman Plehn
The next generation of experiments in particle physics will for the first time systematically test flavor physics models based on flavon fields. Starting from the current quark-fla…
Flavor Anomalies, the Diphoton Excess and a Dark Matter Candidate
Martin Bauer, Matthias Neubert
We argue that the diphoton excess recently reported by ATLAS and CMS can be explained, along with several anomalies seen in the flavor sector, in models where a Standard-Model sing…
Completeness of reparametrization-invariant Sobolev metrics on the space of surfaces
Martin Bauer, Cy Maor, Benedikt Wirth
We study reparametrization-invariant Sobolev-type Riemannian metrics on the space of immersed surfaces and establish conditions ensuring metric and geodesic completeness as well as…
Curve Matching with Applications in Medical Imaging
Martin Bauer, Martins Bruveris, Philipp Harms +1
In the recent years, Riemannian shape analysis of curves and surfaces has found several applications in medical image analysis. In this paper we present a numerical discretization…
Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms
Martin Bauer, Nicolas Charon, Eric Klassen +3
A main goal in the field of statistical shape analysis is to define computable and informative metrics on spaces of immersed manifolds, such as the space of curves in a Euclidean s…
Flavor from the Electroweak Scale
Martin Bauer, Marcela Carena, Katrin Gemmler
We discuss the possibility that flavor hierarchies arise from the electroweak scale in a two Higgs doublet model, in which the two Higgs doublets jointly act as the flavon. Quark m…
Hunting All the Hidden Photons
Martin Bauer, Patrick Foldenauer, Joerg Jaeckel
We explore constraints on gauge bosons of a weakly coupled , , and . To do so we apply the full constraining power…
Sobolev metrics on shape space of surfaces
Martin Bauer, Philipp Harms, Peter W. Michor
Let and be connected manifolds without boundary with , and let compact. Then shape space in this work is either the manifold of submanifolds of t…
Riemannian geometry of the space of volume preserving immersions
Martin Bauer, Peter Michor, Olaf Müller
Given a compact manifold and a Riemannian manifold of bounded geometry, we consider the manifold of immersions from to and its subset ${\rm Imm}_Î…
Second order elastic metrics on the shape space of curves
Martin Bauer, Martins Bruveris, Philipp Harms +1
Second order Sobolev metrics on the space of regular unparametrized planar curves have several desirable completeness properties not present in lower order metrics, but numerics ar…
Yet Another Introduction to Dark Matter
Martin Bauer, Tilman Plehn
Dark matter is, arguably, the most widely discussed topic in contemporary particle physics. Written in the language of particle physics and quantum field theory, these notes focus…
A Riemannian viewpoint on the Amari-Cencov -connections and Proudman-Johnson equations
Martin Bauer, Alice Le Brigant, Cy Maor
We give a new geometric interpretation of the Amari-Cencov -connections from information geometry: On the space of densities , we show…
Higgs Pair Production as a Signal of Enhanced Yukawa Couplings
Martin Bauer, Marcela Carena, Adrián Carmona
We present a non-trivial correlation between the enhancement of the Higgs-fermion couplings and the Higgs pair production cross section in two Higgs doublet models with a flavour s…
One Leptoquark to Rule Them All: A Minimal Explanation for , and
Martin Bauer, Matthias Neubert
We show that by adding a single new scalar particle to the Standard Model, a TeV-scale leptoquark with the quantum numbers of a right-handed down quark, one can explain in a natura…
A Python Extension for the Massively Parallel Multiphysics Simulation Framework waLBerla
Martin Bauer, Florian Schornbaum, Christian Godenschwager +4
We present a Python extension to the massively parallel HPC simulation toolkit waLBerla. waLBerla is a framework for stencil based algorithms operating on block-structured grids, w…
Temperature-dependent refractive index of AlGaAs for quantum-photonic devices near the bandgap
Moritz Langer, Sai Abhishikth Dhurjati, Martin Bauer +6
We present an experimental method to determine the refractive index of (x = 0.0 - 0.5) from 300 K to 4 K across the 500 - 1100 nm wavelength range. The values ar…
Massively Parallel Phase-Field Simulations for Ternary Eutectic Directional Solidification
Martin Bauer, Johannes Hötzer, Philipp Steinmetz +7
Microstructures forming during ternary eutectic directional solidification processes have significant influence on the macroscopic mechanical properties of metal alloys. For a real…
A geometric view on the generalized Proudman-Johnson and -Hunter-Saxton equations
Martin Bauer, Yuxiu Lu, Cy Maor
We show that two families of equations on the real line, the generalized inviscid Proudman--Johnson equation, and the -Hunter--Saxton equation (recently introduced by Cotter et…
Projected sensitivity of the ANUBIS detector to heavy neutral leptons
Martin Bauer, Rachel Bentham, Oleg Brandt +5
Long-Lived Particles (LLPs) are a common feature in various extensions to the Standard Model (SM) that seek to address known limitations. The ANUBIS detector has been proposed to e…
A Numerical Framework for Sobolev Metrics on the Space of Curves
Martin Bauer, Martins Bruveris, Philipp Harms +1
Statistical shape analysis can be done in a Riemannian framework by endowing the set of shapes with a Riemannian metric. Sobolev metrics of order two and higher on shape spaces of…
Intrinsic Riemannian metrics on spaces of curves: theory and computation
Martin Bauer, Nicolas Charon, Eric Klassen +1
This chapter reviews some past and recent developments in shape comparison and analysis of curves based on the computation of intrinsic Riemannian metrics on the space of curves mo…
The -Fisher-Rao metric and Amari-Cencov -connections
Martin Bauer, Alice Le Brigant, Yuxiu Lu +1
We introduce a family of Finsler metrics, called the -Fisher-Rao metrics , for , which generalizes the classical Fisher-Rao metric , both on the spa…
Symplectic structures on the space of space curves
Martin Bauer, Sadashige Ishida, Peter W. Michor
We present symplectic structures on the shape space of unparameterized space curves that generalize the classical Marsden-Weinstein structure. Our method integrates the Liouville 1…
On the Validity of Dark Matter Effective Theory
Martin Bauer, Anja Butter, Nishita Desai +2
An effective theory of dark matter offers an attractive framework for global analyses of dark matter. In the light of global fits we test the validity of the link between the non-r…
Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II
Martin Bauer, Martins Bruveris, Peter W. Michor
The geodesic distance vanishes on the group of compactly supported diffeomorphisms of a Riemannian manifold of bounded geometry, for the right invariant weak Riemannian metric…
Generalised hydrogen interactions with : a window to new physics
Martin Bauer, Javier Perez-Soler, Jack D. Shergold
We present semi-analytic solutions for atomic transition rates in hydrogenic atoms induced by scalar, pseudoscalar, vector, axial-vector, and tensor interactions. Our results agree…
A Scalable and Extensible Checkpointing Scheme for Massively Parallel Simulations
Nils Kohl, Johannes Hötzer, Florian Schornbaum +5
Realistic simulations in engineering or in the materials sciences can consume enormous computing resources and thus require the use of massively parallel supercomputers. The probab…
Overview of the Geometries of Shape Spaces and Diffeomorphism Groups
Martin Bauer, Martins Bruveris, Peter W. Michor
This article provides an overview of various notions of shape spaces, including the space of parametrized and unparametrized curves, the space of immersions, the diffeomorphism gro…
The Low-Energy Effective Theory of Axions and ALPs
Martin Bauer, Matthias Neubert, Sophie Renner +2
Axions and axion-like particles (ALPs) are well-motivated low-energy relics of high-energy extensions of the Standard Model, which interact with the known particles through higher-…
Well-posedness of the EPDiff equation with a pseudo-differential inertia operator
Martin Bauer, Martins Bruveris, Emanuel Cismas +2
In this article we study the class of right-invariant, fractional order Sobolev-type metrics on groups of diffeomorphisms of a compact manifold M. Our main result concerns well-pos…
Soliton solutions for the elastic metric on spaces of curves
Martin Bauer, Martins Bruveris, Philipp Harms +1
In this article we investigate a first order reparametrization-invariant Sobolev metric on the space of immersed curves. Motivated by applications in shape analysis where discretiz…
How to measure the spin of invisible states in
Martin Bauer, Sofie Nordahl Erner
We examine the production of an invisible state together with a photon, , at electron positron colliders and present measurement strategies that can detect the…
Sobolev Metrics on Spaces of Discrete Regular Curves
Jonathan Cerqueira, Emmanuel Hartman, Eric Klassen +1
Reparametrization invariant Sobolev metrics on spaces of regular curves have been shown to be of importance in the field of mathematical shape analysis. For practical applications,…
LHC as an Axion Factory: Probing an Axion Explanation for with Exotic Higgs Decays
Martin Bauer, Matthias Neubert, Andrea Thamm
We argue that a large region of so far unconstrained parameter space for axion-like particles (ALPs), where their couplings to the Standard Model are of order $(0.01\!-\!1)\,\mbox{…
Soft Collinear Effective Theory for Heavy WIMP Annihilation
Martin Bauer, Timothy Cohen, Richard J. Hill +1
In a large class of models for Weakly Interacting Massive Particles (WIMPs), the WIMP mass lies far above the weak scale . This work identifies universal Sudakov-type loga…
Diffeomorphic density matching by optimal information transport
Martin Bauer, Sarang Joshi, Klas Modin
We address the following problem: given two smooth densities on a manifold, find an optimal diffeomorphism that transforms one density into the other. Our framework builds on conne…
Discovering the Axiverse via Fifth Forces
Martin Bauer, Francesca Chadha-Day, Alexander Eberhart
If the Universe is described by string theory or other extensions of the Standard Model, several light, axion-like states are predicted to exist. However, most experiments only sea…
Learning from the New Higgs-like Scalar before It Vanishes
Martin Bauer, Anja Butter, Juan Gonzalez-Fraile +2
Motivated by a di-photon anomaly observed by ATLAS and CMS we develop an SFitter analysis for a combined electroweak-Higgs sector, and a scalar portal at the LHC. The theoretical d…
Sobolev metrics on spaces of manifold valued curves
Martin Bauer, Cy Maor, Peter W. Michor
We study completeness properties of reparametrization invariant Sobolev metrics of order on the space of manifold valued open and closed immersed curves. In particular, fo…
Flavor probes of axion-like particles
Martin Bauer, Matthias Neubert, Sophie Renner +2
Axions and axion-like particles (ALPs) are well-motivated low-energy relics of high-energy extensions of the Standard Model (SM). We investigate the phenomenology of an ALP with fl…
ANUBIS: Proposal to search for long-lived neutral particles in CERN service shafts
Martin Bauer, Oleg Brandt, Lawrence Lee +1
Long-lived particles are predicted by many extensions of the Standard Model and have been gaining interest in recent years. In this Letter we present a competitive proposal that su…
Fractional Sobolev metrics on spaces of immersed curves
Martin Bauer, Martins Bruveris, Boris Kolev
Motivated by applications in the field of shape analysis, we study reparametrization invariant, fractional order Sobolev-type metrics on the space of smooth regular curves $\operat…
Sobolev Metrics on Shape Space, II: Weighted Sobolev Metrics and Almost Local Metrics
Martin Bauer, Philipp Harms, Peter W. Michor
In continuation of [3] we discuss metrics of the form $$ G^P_f(h,k)=\int_M \sum_{i=0}^pΦ_i(\Vol(f)) \g((P_i)_fh,k) \vol(f^*\g) $$ on the space of immersions $\Imm(M,N)$ and on sha…
On the Flavour Structure of Anomaly-free Hidden Photon Models
Martin Bauer, Patrick Foldenauer, Martin Mosny
Extensions of the Standard Model with an Abelian gauge group are constrained by gauge anomaly cancellation, so that only a limited number of possible charge assignments is allowed…
Isometric Immersions and the Waving of Flags
Martin Bauer, Jakob Møller-Andersen, Stephen C. Preston
In this article we propose a novel geometric model to study the motion of a physical flag. In our approach a flag is viewed as an isometric immersion from the square with values in…
Standards-Based Worldwide Semantic Interoperability for IoT
Erno Kovacs, Martin Bauer, Jaeho Kim +3
Global IoT services (GIoTS) are combining locally available IoT resources with Cloud-based services. They are targeting world-wide services. GIoTS require interoperability between…
Restoration of Well-Posedness of Infinite-dimensional Singular ODE's via Noise
David Baños, Martin Bauer, Thilo Meyer-Brandis +1
In this paper we aim at generalizing the results of A. K. Zvonkin and A. Y. Veretennikov on the construction of unique strong solutions of stochastic differential equations with si…
Axion-Like Particles at Future Colliders
Martin Bauer, Mathias Heiles, Matthias Neubert +1
Axion-like particles (ALPs) are pseudo Nambu-Goldstone bosons of spontaneously broken global symmetries in high-energy extensions of the Standard Model (SM). This makes them a prim…
Diffeomorphic random sampling using optimal information transport
Martin Bauer, Sarang Joshi, Klas Modin
In this article we explore an algorithm for diffeomorphic random sampling of nonuniform probability distributions on Riemannian manifolds. The algorithm is based on optimal informa…
BaRe-ESA: A Riemannian Framework for Unregistered Human Body Shapes
Emmanuel Hartman, Emery Pierson, Martin Bauer +2
We present Basis Restricted Elastic Shape Analysis (BaRe-ESA), a novel Riemannian framework for human body scan representation, interpolation and extrapolation. BaRe-ESA operates d…
Constructing reparametrization invariant metrics on spaces of plane curves
Martin Bauer, Martins Bruveris, Stephen Marsland +1
Metrics on shape space are used to describe deformations that take one shape to another, and to determine a distance between them. We study a family of metrics on the space of curv…
Local Uniqueness of the Circular Integral Invariant
Martin Bauer, Thomas Fidler, Markus Grasmair
This article is concerned with the representation of curves by means of integral invariants. In contrast to the classical differential invariants they have the advantage of being l…
Liouville comparison theory for blowup of Euler-Arnold equations
Martin Bauer, Stephen C. Preston, Justin Valletta
In this article we introduce a new blowup criterion for (generalized) Euler-Arnold equations on . Our method is based on treating the equation in Lagrangian coordinate…
Limits on the cosmic neutrino background
Martin Bauer, Jack D. Shergold
We present the first comprehensive discussion of constraints on the cosmic neutrino background (CB) overdensity, including theoretical, experimental and cosmological limits for…
A Persistent Homology Pipeline for the Analysis of Neural Spike Train Data
Cagatay Ayhan, Audrey N. Nash, Roberto Vincis +3
In this article, we introduce a Topological Data Analysis (TDA) pipeline for neural spike train data. Understanding how the brain transforms sensory information into perception and…
Consistent treatment of axions in the weak chiral Lagrangian
Martin Bauer, Matthias Neubert, Sophie Renner +2
We present a consistent implementation of weak decays involving an axion or axion-like particle in the context of an effective chiral Lagrangian. We argue that previous treatments…
Geodesic completeness of the metric on
Martin Bauer, Boris Kolev, Stephen Preston
Of concern is the study of the long-time existence of solutions to the Euler--Arnold equation of the right-invariant -metric on the diffeomorphism group of the circle. In…
Sobolev metrics on the manifold of all Riemannian metrics
Martin Bauer, Philipp Harms, Peter W. Michor
On the manifold $\Met(M)$ of all Riemannian metrics on a compact manifold one can consider the natural -metric as described first by \cite{Ebin70}. In this paper we consid…
Dark Matter in Anomaly-Free Gauge Extensions
Martin Bauer, Sascha Diefenbacher, Tilman Plehn +2
A consistent model for vector mediators to dark matter needs to be anomaly-free and include a scalar mode from mass generation. For the leading U(1) extensions we review the struct…
Hörmander's condition for normal bundles on spaces of immersions
Martin Bauer, Philipp Harms
Several representations of geometric shapes involve quotients of mapping spaces. The projection onto the quotient space defines two sub-bundles of the tangent bundle, called the ho…
Self Supervised Networks for Learning Latent Space Representations of Human Body Scans and Motions
Emmanuel Hartman, Nicolas Charon, Martin Bauer
This paper introduces self-supervised neural network models to tackle several fundamental problems in the field of 3D human body analysis and processing. First, we propose VariShaP…
Metrics on Spaces of Immersions where Horizontality Equals Normality
Martin Bauer, Philipp Harms
We study metrics on shape space of immersions that have a particularly simple horizontal bundle. More specifically, we consider reparametrization invariant Sobolev metrics on t…
Free-standing circular Bragg gratings enabling efficient GaAs quantum dot entangled photon pair sources
Sai Abhishikth Dhurjati, Moritz Langer, Yared G. Zena +6
Deterministic and bright quantum light sources based on scalable semiconductor technologies are a crucial building block for future quantum communication networks. While circular B…
Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation
Martin Bauer, Martins Bruveris, Philipp Harms +1
The Virasoro-Bott group endowed with the right-invariant -metric (which is a weak Riemannian metric) has the KdV-equation as geodesic equation. We prove that this metric space…
Curvature weighted metrics on shape space of hypersurfaces in -space
Martin Bauer, Philipp Harms, Peter W. Michor
Let be a compact connected oriented dimensional manifold without boundary. In this work, shape space is the orbifold of unparametrized immersions from to $\mathbb R^n…
Dark matter pair absorption
Martin Bauer, Javier Perez-Soler, Jack D. Shergold
We present a comprehensive analysis of the sensitivity of atomic transitions to light dark matter pair absorption. Unlike scattering, where only a fraction of the dark matter energ…
Analyzing the CP Nature of a New Scalar Particle via S->Zh Decay
Martin Bauer, Matthias Neubert, Andrea Thamm
Scalar particles which are singlets under the Standard Model gauge group are generic features of many models of fundamental physics, in particular as possible mediators to a hi…
Relic neutrinos at accelerator experiments
Martin Bauer, Jack D. Shergold
We present a new technique for observing low energy neutrinos with the aim of detecting the cosmic neutrino background using ion storage rings. Utilising high energy targets exploi…
A diffeomorphism-invariant metric on the space of vector-valued one-forms
Martin Bauer, Eric Klassen, Stephen C. Preston +1
In this article we introduce a diffeomorphism-invariant Riemannian metric on the space of vector valued one-forms. The particular choice of metric is motivated by potential future…
Optical Flow on Moving Manifolds
Martin Bauer, Markus Grasmair, Clemens Kirisits
Optical flow is a powerful tool for the study and analysis of motion in a sequence of images. In this article we study a Horn-Schunck type spatio-temporal regularization functional…
A relaxed approach for curve matching with elastic metrics
Martin Bauer, Martins Bruveris, Nicolas Charon +1
In this paper we study a class of Riemannian metrics on the space of unparametrized curves and develop a method to compute geodesics with given boundary conditions. It extends prev…
Simplified dark matter models with two Higgs doublets: I. Pseudoscalar mediators
Martin Bauer, Ulrich Haisch, Felix Kahlhoefer
We study a new class of renormalisable simplified models for dark matter searches at the LHC that are based on two Higgs doublet models with an additional pseudoscalar mediator. In…
Geometric Analysis of the Generalized Surface Quasi-Geostrophic Equations
Martin Bauer, Patrick Heslin, Gerard MisioÅek +1
We investigate the geometry of a family of equations in two dimensions which interpolate between the Euler equations of ideal hydrodynamics and the inviscid surface quasi-geostroph…
Square Root Normal Fields for Lipschitz surfaces and the Wasserstein Fisher Rao metric
Emmanuel Hartman, Martin Bauer, Eric Klassen
The Square Root Normal Field (SRNF) framework is a method in the area of shape analysis that defines a (pseudo) distance between unparametrized surfaces. For piecewise linear (PL)…
Breakdown of smooth solutions to the subcritical EPDiff equation
Martin Bauer, Stephen C. Preston, Justin Valletta
We consider the EPDiff equation on with the integer-order homogeneous Sobolev inertia operator . We prove that for arbitrary radial initial data and a sig…
The Square Root Normal Field Distance and Unbalanced Optimal Transport
Martin Bauer, Emmanuel Hartman, Eric Klassen
This paper explores a novel connection between two areas: shape analysis of surfaces and unbalanced optimal transport. Specifically, we characterize the square root normal field (S…
Landmark-Guided Elastic Shape Analysis of Human Character Motions
Martin Bauer, Markus Eslitzbichler, Markus Grasmair
Motions of virtual characters in movies or video games are typically generated by recording actors using motion capturing methods. Animations generated this way often need postproc…
On Periodic Geodesics of Half-Lie Groups
Martin Bauer, Levin Maier
A central program in infinite-dimensional Riemannian geometry is to understand which classical finite-dimensional principles remain valid beyond finite dimensions. In this article,…
McKean-Vlasov equations on infinite-dimensional Hilbert spaces with irregular drift and additive fractional noise
Martin Bauer, Thilo Meyer-Brandis
This paper establishes results on the existence and uniqueness of solutions to McKean-Vlasov equations, also called mean-field stochastic differential equations, in an infinite-dim…
Highly Efficient Lattice-Boltzmann Multiphase Simulations of Immiscible Fluids at High-Density Ratios on CPUs and GPUs through Code Generation
Markus Holzer, Martin Bauer, Ulrich Rüde
A high-performance implementation of a multiphase lattice Boltzmann method based on the conservative Allen-Cahn model supporting high-density ratios and high Reynolds numbers is pr…
Why Use Sobolev Metrics on the Space of Curves
Martin Bauer, Martins Bruveris, Peter W. Michor
We study reparametrization invariant Sobolev metrics on spaces of regular curves. We discuss their completeness properties and the resulting usability for applications in shape ana…
A Benamou-Brenier Proximal Splitting Method for Constrained Unbalanced Optimal Transport
Mao Nishino, Martin Bauer, Tom Needham +1
The dynamic formulation of optimal transport, also known as the Benamou-Brenier formulation, has been extended to the unbalanced case by introducing a source term in the continuity…
lbmpy: Automatic code generation for efficient parallel lattice Boltzmann methods
Martin Bauer, Harald Köstler, Ulrich Rüde
Lattice Boltzmann methods are a popular mesoscopic alternative to macroscopic computational fluid dynamics solvers. Many variants have been developed that vary in complexity, accur…
The Axion-Higgs Portal
Martin Bauer, Guillaume Rostagni, Jonas Spinner
The phenomenology of axions and axion-like particles strongly depends on their couplings to Standard Model particles. The focus of this paper is the phenomenology of the unique dim…
Supervised deep learning of elastic SRV distances on the shape space of curves
Emmanuel Hartman, Yashil Sukurdeep, Nicolas Charon +2
Motivated by applications from computer vision to bioinformatics, the field of shape analysis deals with problems where one wants to analyze geometric objects, such as curves, whil…
On the Validity of Bounds on Light Axions for GeV
Martin Bauer, Sreemanti Chakraborti
Light bosonic dark matter fields that can be treated like a classical wave have non-linear field values close to massive bodies. Here we make the important observation that the qua…
Elastic shape analysis of surfaces with second-order Sobolev metrics: a comprehensive numerical framework
Emmanuel Hartman, Yashil Sukurdeep, Eric Klassen +2
This paper introduces a set of numerical methods for Riemannian shape analysis of 3D surfaces within the setting of invariant (elastic) second-order Sobolev metrics. More specifica…
A New Riemannian Setting for Surface Registration
Martin Bauer, Martins Bruveris
We present a new approach for matching regular surfaces in a Riemannian setting. We use a Sobolev type metric on deformation vector fields which form the tangent bundle to the spac…