# Keyword index I

**ICA**- 9/2011 - A Computational Model of Dysfunctional Facial Encoding in Congenital Prosopagnosia

**ica for de's**- 88/2004 - On the possible use of ICA to identify synaptic inputs from observations of several neurons

**ice**- 33/2006 - Is Antarctica like a birthday cake?

**ideal decomposition**- 33/2017 - Discovery of statistical equivalence classes using computer algebra

**iindividual-based models**- 112/2002 - Cell-based models of avascular tumor growth

**image of an algebraic variety**- 2/2018 - Computing images of polynomial maps

**image registration**- 68/2008 - Quasiconvex relaxation of multidimensional control problems with integrands f(t,ξ,v)

**image segmentation**- 24/1998 - Regularity and optimal design results for elastic membranes

**immersed hypersurfaces**- 79/2007 - Finite Area and Volume of Pointed k-Surfaces

**immersions****Implicit bias**- 63/2020 - Implicit bias of gradient descent for mean squared error regression with wide neural networks

**implicitization****impulse control**- 56/2009 - Optimal Securitization of Credit Portfolios via Impulse Control
- 37/2008 - General existence and uniqueness of viscosity solutions for impulse control of jump-diffusions
- 57/1998 - Optimization problems with concentration and oscillation effects: relaxation theory and numerical approximation

**in-approximation**- 50/1998 - Relaxation of some multi-well problems

**incompatibility probability**- 106/2019 - Incompatibility probability of random quantum measurements

**incompatible wells**- 21/1999 - The two-well problem in three dimensions

**Incompressible fluids**- 50/2014 - Estimates of the Distance to the Set of Divergence Free Fields and Applications to Quantitative Analysis of Incompressible Fluids

**incremental formulation**- 72/2000 - Nonconvex potentials and microstructures in finite-strain plasticity

**Indefinite Kenmostu manifold**- 39/2011 - Symmetries of null Geometry in Indefinite Kenmotsu Manifolds

**Indefinite Kenmostu space form****indefinite metrics**- 52/2005 - Nilpotent metric Lie algebras of small dimension

**independence polytope**- 22/2020 - Gorenstein graphic matroids

**index**- 37/2018 - Asymptotic analysis for Dirac-harmonic maps from degenerating spin surfaces and with bounded index

**index form**- 55/2003 - The Morse index theorem for regular Lagrangian systems

**Individual cell based models**- 3/2007 - On the role of physics in the growth and pattern formation of multi-cellular systems: What can we learn from individual-cell based models?

**individual cell-based model**- 114/2002 - How do tumors grow in-vitro?

**individual learning**- 12/2013 - Group level effects of social versus individual learning

**individual learning;**- 68/2010 - Learning, Evolution and Population Dynamics

**individual-based approach**- 15/2002 - Individual-based approaches to birth and death in avascular tumors

**individual-based models****individual-based off-lattice model**- 111/2002 - Towards a quantitative single-cell based model approach to growing multicellular spheroids

**Induced representations**- 34/2012 - Induced *-representations and C
^{*}-envelopes of some quantum *-algebras

- 34/2012 - Induced *-representations and C
**inequalities**- 24/2001 - Inverse inequalities on non-quasiuniform meshes and application to the Mortar element method

**Inequality**- 67/2013 - Entanglement Detection and Distillation for Arbitrary Bipartite Systems

**inf--sup condition**- 50/2014 - Estimates of the Distance to the Set of Divergence Free Fields and Applications to Quantitative Analysis of Incompressible Fluids

**inference function**- 75/2015 - Dimension of Marginals of Kronecker Product Models; Geometry of hidden-visible products of exponential families

**inference under constraints**- 6/2012 - Continuity of the Maximum-Entropy Inference

**infinite degenerate elliptic operators**- 87/2013 - Lower bounds of Dirichlet eigenvalues for degenerate elliptic operators and degenerate Schrödinger operators

**Infinite dimensional Hamiltonian systems**- 36/2009 - Periodic and homoclinic travelling waves in infinite lattices

**Infinite graphs**- 76/2020 - Subshifts on infinite alphabets and their entropy

**infinite Prandtl number**- 57/2016 - Limitations of the background field method applied to Rayleigh-Bénard convection

**infinite-dimensional Morse theory**- 91/2008 - A smooth pseudo-gradient for the Lagrangian action functional

**Infomax**- 9/2011 - A Computational Model of Dysfunctional Facial Encoding in Congenital Prosopagnosia

**infomax principle****information**- 16/2011 - On Solution Sets of Information Inequalities

**Information Bottleneck**- 55/2015 - The Information Bottleneck Method for Optimal Prediction of Multilevel Agent-based Systems

**information decomposition**- 4/2020 - Properties of Unique Information
- 72/2017 - Secret Sharing and Shared Information
- 40/2017 - On extractable shared information
- 86/2015 - Hierarchical Quantification of Synergy in Channels
- 21/2015 - Quantifying Morphological Computation based on an Information Decomposition of the Sensorimotor Loop
- 102/2013 - Quantifying unique information

**information divergence**- 73/2011 - Optimally approximating exponential families

**information flow****information geometry**- 81/2020 - Information Decomposition Based on Cooperative Game Theory
- 73/2015 - A Novel Approach to Canonical Divergences within Information Geometry
- 87/2014 - On the Fisher Metric of Conditional Probability Polytopes
- 15/2011 - Selection Criteria for Neuromanifolds of Stochastic Dynamics
- 95/2001 - Information geometry on complexity and stochastic interaction
- 54/2001 - Locality of global stochastic interaction in directed acyclic networks
- 52/2000 - An information geometric approach to a theory of pragmatic structuring

**information projection****information storage**- 71/2011 - Information storage, loop motifs and clustered structure in complex networks

**information theory**- 55/2015 - The Information Bottleneck Method for Optimal Prediction of Multilevel Agent-based Systems
- 3/2015 - Non-generating Partitions of Unimodular Maps
- 11/2013 - Quantifying Morphological Computation
- 71/2011 - Information storage, loop motifs and clustered structure in complex networks
- 52/2002 - Information-theoretic grounding of finite automata in neural systems

**information topology****Information-driven self-organisation**- 60/2013 - Information-driven intrinsic motivation in reinforcement learning

**inhomogeneous dispersal**- 30/2007 - A nonlocal inhomogeneous dispersal process

**inhomogeneous Navier-Stokes equation**- 5/2008 - Existence of Weak solutions for a Diffuse Interface Model for Viscous, Incompressible Fluids with General Densities

**injection dimension**- 40/2019 - Injection dimensions of projective varieties

**injectivity radius**- 38/2019 - Uniform matrix product states from an algebraic geometer's point of view

**input space partition**- 73/2014 - On the Number of Linear Regions of Deep Neural Networks

**inteface motion**- 22/2003 - Singular limit of a degenerate chemotaxis-Fisher equation

**integer partitions****integrable system**- 44/2010 - Topological recursion relations in non-equivariant cylindrical contact homology

**integral equation****integral equations**- 20/2008 - Hydration of ionic species studied by the reference interaction site model with a repulsive bridge correction
- 147/2006 - Analysis of multiple scattering iterations for high-frequency scattering problems. \\ II: The three-dimensional scalar case
- 10/2004 - Fast Parallel Solution of Boundary Integral Equations and Related Problems
- 72/2003 - Multi-Grid Methods for FEM and BEM Applications
- 35/2003 - Hierarchical Kronecker tensor-product approximations
- 2/2003 - Hierarchical Matrices based on a Weak Admissibility Criterion
- 68/2001 - Direct integration of the Newton potential over cubes including a program description

**integral equations theory of liquids**- 88/2008 - A multigrid solver for the integral equations of the theory of liquids

**integral functionals**- 46/2001 - Few remarks on differential inclusions

**Integral Geometry Formula**- 84/2019 - p-adic Integral Geometry

**Integral operator**- 16/2008 - Harnack's inequality for some nonlocal equations and application

**integral operators**- 27/2005 (
*Lecture note*) - An Introduction to Structured Tensor-Product Representation of Discrete Nonlocal Operators.

- 27/2005 (
**integral representations of solutions**- 53/2006 - About solutions of Poisson's equation with transition condition in non-smooth domains

**integrally splitting characteristic polynomial**- 88/2020 - On the Generation of Rank 3 Simple Matroids with an Application to Terao’s Freeness Conjecture

**integrate-and-fire**- 84/2002 - The effects of quasi-active membrane on multiply periodic traveling waves in integrate-and-fire systems

**Integrated Information**- 85/2020 - Complexity as Causal Information Integration

**integro-differential equations**- 34/2007 - Mass-Selection in Alignment Models with Non-Deterministic Effects

**integro-differential operators**- 53/2008 - On hypoellipticity of generators of L\'{e}vy processes

**integro-partial differential equation**- 29/2006 - On the Efficient Evaluation of Coalescence Integrals in Population Balance Models

**interacting brownian motions****Interacting Particle System**- 37/2014 - Upper Bound for the Critical Density of Biased Activated Random Walk

**interacting particle systems**- 60/2016 - Heat kernel upper bounds for interacting particle systems

**interaction model**- 27/2016 - Hierarchical Models as Marginals of Hierarchical Models

**interaction order**- 94/2006 - Support sets of distributions with given interaction structure

**intercellular signalling**- 26/2005 - Making waves: Pattern formation by a cell surface-associated signal

**Interface****interface motion**- 5/2005 - Instability of interface under forced displacements

**interfaces**- 5/2020 - Quantitative homogenization for the case of an interface between two heterogeneous media

**interlacing**- 52/2013 - On the spectrum of the normalized Laplacian for signed graphs: Interlacing, contraction, and replication

**intermediate scaling laws**- 74/2000 - Droplet spreading: intermediate scaling law by PDE methods

**interpolation****Interpolation inequalities**- 56/2015 - Interpolation inequalities in pattern formation

**intersection of balls**- 35/2019 - Topology and curvature of metric spaces

**intracellular transduction**- 118/2005 - Global existence results for complex hyperbolic models of bacterial chemotaxis

**intrinsic computation**- 71/2011 - Information storage, loop motifs and clustered structure in complex networks

**intrinsic hodge decomposition**- 57/2002 - On moving Ginzburg-Landau filament vortices

**intrinsic perspective**- 74/2015 - The Umwelt of an Embodied Agent - A Measure-Theoretic Definition

**intrinsic tropicalization**- 62/2018 - Computing Unit Groups of Curves

**invariance theory**- 104/2002 - Supertrace divergence terms for the Witten Laplacian

**invariant**- 26/2006 - Invariants for a Class of Nongeneric Three-qubit States

**invariant connection**- 12/2002 - Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory

**invariant manifold**- 30/2006 - Stability of invariant manifolds in one and two dimensions

**Invariant manifolds****invariant measures****invariant probability density**- 62/2020 - On the asymptotic behavior of the Diaconis and Freedman's chain in a multidimensional simplex

**invariant probability measure**- 62/2020 - On the asymptotic behavior of the Diaconis and Freedman's chain in a multidimensional simplex

**invariant scalar products**- 52/2005 - Nilpotent metric Lie algebras of small dimension

**invariant theory****invariants**- 13/2008 - A Complete Set of Local Invariants for a Family of Multipartite Mixed States
- 109/2005 - Equivalence of Tripartite Quantum States under Local Unitary Transformations
- 108/2005 - Multipartite States under Local Unitary Transformations
- 103/2005 - A Note on Equivalence of Bipartite States under Local Unitary Transformations
- 59/2003 - Structure from Motion: a New Look from the Point of View of Invariant Theory.

**invariants of 3-manifolds**- 45/2009 - Geometric Topology and Field Theory on 3-Manifolds

**invariants of the orthogonal group**- 100/2002 - Divergence terms in the supertrace heat asymptotics for the de Rham complex on a manifold with boundary

**invasion fronts**- 62/2016 - Wavenumber selection in coupled transport equations

**inverse estimates**- 24/2001 - Inverse inequalities on non-quasiuniform meshes and application to the Mortar element method

**inverse fe-matrix**- 21/2002 - Existence of -Matrix Approximants to the Inverse FE-Matrix of Elliptic Operators with L
^{∞}-Coefficients

- 21/2002 - Existence of -Matrix Approximants to the Inverse FE-Matrix of Elliptic Operators with L
**inverse Laplace operator**- 75/2010 - On explicit QTT representation of Laplace operator and its inverse

**inverse method**- 90/2003 - Efficient Computation of Lead Field Bases and Influence Matrix for the FEM-based EEG and MEG Inverse Problem. Part I: Complexity Considerations

**inverse Multiquadrics**- 151/2006 - Sampling Inequalities for Infinitely Smooth Functions, with Applications to Interpolation and Machine Learning

**inverse problems**- 5/2006 - Stability of Calderón inverse Conductivity Problem in the plane

**inversion symmetry**- 55/2002 - Elliptic functions and temperature inversion symmetry on spheres

**ionic hydration**- 20/2008 - Hydration of ionic species studied by the reference interaction site model with a repulsive bridge correction

**ionic liquids**- 1/2008 - Towards understanding the structure and capacitance of electrical double layer in ionic liquids

**irreducible characters**- 36/2007 - Hopf Algebra Structure of the Character Rings of Orthogonal and Symplectic Groups

**irreducible closed set**- 113/2007 - Algebraic, Tropical, and Fuzzy Geometry

**irreducible many-party correlation**- 18/2015 - Continuity of the maximum-entropy inference: convex geometry and numerical ranges approach

**irrigation problem**- 76/2014 - An optimal irrigation network with infinitely many branching points

**ising model****Ising model with Kac-potential**- 30/2006 - Stability of invariant manifolds in one and two dimensions

**island formation**- 32/2014 - Study of island formation in epitaxially strained films on unbounded domains

**Isochronous systems**- 42/2009 - On Planar and Non-planar Isochronous Systems and Poisson Structures

**isogeometric analysis**- 35/2016 - Low Rank Tensor Methods in Galerkin-based Isogeometric Analysis

**isometric embedding**- 87/2014 - On the Fisher Metric of Conditional Probability Polytopes

**isometric immersion**- 4/2004 - Regularity properties of isometric immersions

**isometry groups**- 56/2005 - Isometry groups of k-curvature homogeneous pseudo-Riemannian manifolds

**isoperimetric inequality**- 1/1998 - An isoperimetric estimate and W
^{1,p}-quasiconvexity in nonlinear elasticity

- 1/1998 - An isoperimetric estimate and W
**isoperimetric problem**- 21/2014 - Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space

**isotropic foliation**- 70/2009 - Isotropic foliations of coadjoint orbits from the Iwasawa decomposition

**Iterated function systems**- 62/2020 - On the asymptotic behavior of the Diaconis and Freedman's chain in a multidimensional simplex

**iterated optimal stopping**- 56/2009 - Optimal Securitization of Credit Portfolios via Impulse Control

**iterative algorithms**- 112/2005 - Approximate Iterations for Structured Matrices

**iterative methods**- 51/2012 - Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients

**iterative solver**- 65/2008 - Performance of H-LU Preconditioning for Sparse Matrices

**ivanov-petrova manifold**- 57/2005 - Generalized plane wave manifolds

**ivanov-petrova manifolds**- 96/2002 - Nilpotent Szabo Osserman and Ivanov-Petrova Pseudo-Riemannian Manifolds

**Iwasawa decomposition**- 70/2009 - Isotropic foliations of coadjoint orbits from the Iwasawa decomposition