Analyzes properties of Hopf manifolds from analytic and metric perspectives.
problem Properties of Hopf manifolds
method Analytic and metric structure
result Reviews old and new properties of Hopf manifolds
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arXiv research
A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
169,291 papers · 148 categories
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48 results for “Structural Properties”
Machine learning approaches for interpretable antibody property prediction using structural dataq-bio.QM
Two ML frameworks predict antibody properties using structural data.
problem Predicting antibody properties using sequence and structural data.
method ANTIPASTI and INFUSSE models using graph representations and neural networks.
result ANTIPASTI predicts binding affinity; INFUSSE predicts residue flexibility.
Study variational properties of cone structures with infinitesimal symmetry.
problem Variational properties of cone structures with infinitesimal symmetry.
method Establishing a correspondence between cone structures and geometric structures via symmetry reduction and quasi-contactification.
result Invariant conditions for specific properties of cone structures.
IH-GAN models cellular structures accurately and improves structural performance.
problem Optimizing variable-density cellular structures with multiscale design challenges.
method Conditional deep generative model (IH-GAN) for property-to-geometry mapping using implicit function parameterization.
result Generates unit cells with high accuracy and improves structural performance.
Study explores properties of bipartite knots.
problem None explicitly stated; focuses on properties of bipartite knots.
method Exploration of combinatorial structure.
result Rich combinatorial structure of bipartite knots.
Mol-CycleGAN generates optimized molecules with similar structure.
problem Designing molecules with desired properties is challenging.
method CycleGAN-based model that generates optimized compounds with high structural similarity.
result Significantly outperforms previous results in optimizing penalized logP of drug-like molecules.
This paper improves hierarchical community detection efficiency using local structural properties.
problem Efficiency of hierarchical community detection methods in large networks.
method Use of local structural network properties as proxies to improve efficiency.
result Achieves competitive results in modularity with improved efficiency.
Study para-complex structures on specific Lie groups, finding explicit forms and properties.
problem Characterizing para-Kähler structures on six-dimensional nilpotent Lie groups.
method Examined left-invariant para-complex structures on six-dimensional nilpotent Lie groups, obtained explicit expressions and investigated curvature properties.
result Para-complex structures are nilpotent and para-Kähler metrics are Ricci-flat.
Improved molecular property prediction using attention and gate mechanisms.
problem Predicting molecular properties from chemical data.
method Attention and gate mechanisms in graph convolutional networks.
result Improved prediction of molecular properties, including photovoltaic efficiency.
Generative neural network designs novel 3D molecules with specified properties.
problem Designing molecules with desired properties in chemistry.
method Conditional generative neural network for 3D molecular structures.
result Demonstrated utility in generating novel molecules with specified motifs or composition.
New condition for big data recovery from sparse samples.
problem Accurate recovery of graph signals from limited data.
method Network Nullspace Property that combines network structure and sampling geometry.
result Efficient sampling strategies designed based on network topology.
Proves measure contraction for specific sub-Riemannian structures.
problem Measure contraction properties in sub-Riemannian structures.
method Analytic sub-Riemannian structures and Lipschitz Carnot groups.
result Proves measure contraction properties for the structures.
Flexible Kernels for Protein Property Prediction
problem Predicting protein properties from sparse experimental data
method Sequence kernels using evolutionary substitution matrices and local linearity
result Data-efficient models of protein property landscapes
New properties on null hypersurfaces using rigging technique.
problem Existence and completeness of rigged Riemannian structures on null hypersurfaces.
method Rigging technique to induce Riemannian structure and study geometric/topological properties.
result New properties and applications of rigging fields under geometric/topological constraints.
The study examines properties of quasi-Para-Sasakian manifolds and their curvature.
problem Investigating curvature properties of quasi-Para-Sasakian manifolds.
method Basic properties and general curvature identities of quasi-Para-Sasakian manifolds are derived.
result If a quasi-Para-Sasakian manifold has constant curvature, it must be non-positive, and under specific conditions, it can be paracosymplectic or obtained by a homothetic deformation of a para-Sasakian structure.
This work introduces benchmarks for evaluating nanophotonic structures in design simulations.
problem Design and understanding of nanophotonic structures for various applications.
method Development of frameworks and benchmarks for evaluating nanophotonic structures in parametric design problems.
result Strategic use of evaluation fidelity in enhancing structure designs.
This is an expository paper, which provides a first introduction to geometric structures on . The paper contains definitions and characteristic properties of generalized complex, generalized Kaehler, generalized (normal, almost) contact and generalized Sasakian structures. A few of these properties are n…
New structure with B-metric extends classical almost contact structures.
problem Extending classical almost contact structures with new geometric properties.
method Introduced and studied weak almost contact structures with B-metric.
result Several geometric properties and special classes are obtained.
Defines the algebroid structure of double field theory.
problem Identify the algebroid structure of double field theory.
method Doubling the target space of a canonical Courant algebroid and projecting down to a specific subbundle.
result The DFT algebroid is a special example of a relaxed Courant algebroid structure.
Study metallic Riemannian structures on submanifolds of Riemannian manifolds.
problem Properties of submanifolds in metallic Riemannian manifolds.
method Investigate properties of structure induced on submanifolds.
result Examples of structures on a sphere induced by metallic Riemannian structures.
Study functionals on almost complex structures for Yau's Challenge.
problem Yau's Challenge on compact -manifolds.
method Variational properties of functionals on almost complex structures.
result Variational properties could be used to tackle Yau's Challenge.
Study properties of contact structures on symplectic disk bundles with concave boundaries.
problem Understanding the geometric properties of contact structures on concave boundaries of symplectic disk bundles.
method Use tools from toric geometry and algebraic torsion measurements from embedded contact homology.
result All such contact manifolds have a global contact toric structure, and can be tight or overtwisted.
Kernelized PCovR reveals structure-property relations in chemistry and materials.
problem Understanding structure-property relations in complex systems.
method Kernel Principal Covariates Regression (kernel PCovR) with sparsification.
result Kernelized PCovR effectively reveals and predicts structure-property relations.
Model Spaces for Risk Measuresq-fin.RM
Risk measures are linked to probability structures, and a maximal domain is constructed.
problem Linking risk measures to probability structures and defining a maximal domain.
method Constructing a maximal domain respecting ambiguity and discussing properties.
result A meaningful underlying probability structure is implied by risk measures.
Integrating Bayesian Spectral Deconvolution and Expert Scientific Reasoning for Robust Peak Estimationphysics.data-an
Bayesian framework integrates spectral deconvolution with expert reasoning for robust peak estimation.
problem Challenges in extracting meaningful peaks from noisy or complex spectra.
method Bayesian spectral deconvolution coupled with a physical-property regression layer.
result Recovery of weak peaks in poly(lactic acid) IR spectra related to degradation rates.
The topological condition for the existence of a structure on the product of two Riemannian manifolds is derived and applied to construct examples of manifolds having the weaker Lipschitz structure, but no structure. An example of a five-dimensional manifold with this property is given; it is pointed ou…
Study examines causal properties of Finsler spacetimes with cone Killing vectors.
problem Characterize causality in Finsler spacetimes with specific Killing vectors.
method Explores the relationship between wind Riemannian structures and spacetimes with cone Killing vectors, focusing on Finsler-Kropina metrics.
result Characterizes causality properties using metric-type properties of Finslerian structures.
Complete classification of para-Kähler structures on Lie groups.
problem Classifying para-Kähler structures on Lie groups.
method Complete classification via automorphism consideration.
result Classification of para-Kähler structures on four-dimensional Lie groups.
Almost product structures on statistical manifolds and para-Kähler-like statistical submersionsmath.DG
Study on statistical manifolds with product structures and their properties.
problem Investigating statistical manifolds with almost product structures.
method Proving properties of para-Kähler-like statistical manifolds and deriving properties of statistical submersions compatible with almost product structures.
result The statistical structure of a para-Kähler-like statistical manifold of constant curvature is a Hessian structure.
Extends neural net safety guarantees by proving structural properties.
problem Proving formal guarantees for complex DNN architectures.
method Proves structural properties related to neural net structure to infer safety properties.
result Identifies a larger region of input space for safety properties.
We give asymptotically tight estimates of tangent space variation on Riemannian submanifolds of Euclidean space with respect to the local feature size of the submanifolds. We show that the result follows directly from structural properties of local feature size of the Riemannian submanifold and some elementary Euclidea…
Affine structures on Lie groupoids are studied, showing rich algebraic properties.
problem Understanding affine structures on Lie groupoids.
method Analyzing affine -vector fields, -forms, and -tensors, and showing their algebraic properties.
result The space of affine structures forms a 2-vector space over multiplicative structures, and affine multivector fields have a Lie 2-algebra structure.
Boundary properties of hyperbolic groups are invariant under a maximization procedure.
problem Proving boundary properties of hierarchically hyperbolic groups are invariant.
method Proving boundary invariance under a maximization procedure.
result Boundary properties of hierarchically hyperbolic groups are invariant under maximization.
Study proves all left-invariant contact structures on 3D Lie groups are tight.
problem Characterizing tightness of left-invariant contact structures on 3D Lie groups.
method Riemannian methods and unique factorization property for Lie groups.
result All left-invariant contact structures on 3D Lie groups are tight.
Resolves gap problem for quaternion-Hermitian structures.
problem Determine maximal and submaximal symmetry dimensions for quaternion-Hermitian structures.
method Classifies structures with specific symmetry dimensions and studies geometric properties of submaximally symmetric spaces.
result Identifies locally conformally quaternion-Kähler and quaternion-Kähler with torsion structures.
In this paper, we define almost paracontact and normal almost paracontact Finsler structures on a vector bundle and find some conditions for integrability of these structures. We define paracontact metric, para- Sasakian and K-paracontact Finsler structures and study some properties of these structures. For a K-paracon…
Describes reconstructing Poisson structures from Lie group actions.
problem Reconstructing invariant Poisson structures from Lie group actions.
method Describes reconstruction of invariant Poisson structures from canonical actions of compact Lie groups on fibered phase spaces.
result Derives symmetry properties of Wong's type equations from main results.
Detecting topological properties of Markov compacta with combinatorial properties of their diagramsmath.GT
The study describes how topological properties of Markov compacta can be inferred from their diagrammatic structures.
problem Detecting topological properties of Markov compacta using combinatorial diagrams.
method Developed a formalism to describe Markov compacta with finite sets of diagrams, linking topological properties to combinatorial structures.
result Topological properties of Markov compacta can be inferred from the combinatorial properties of their diagrams.
This research extends Sasakian geometry to non-necessarily coorientable contact structures.
problem Extending Sasakian geometry to non-necessarily coorientable contact structures.
method Homogeneous Kähler structures on principal -bundles.
result Characterizes the extent of generalization from Sasakian to homogeneous Kähler structures.
New property ensures non-looseness of ribbon boundaries.
problem Non-looseness of ribbon boundaries for Legendrian graphs.
method Define and prove the Tight Reattachment Property.
result Ribbon boundaries of Legendrian graphs with the Tight Reattachment Property are non-loose.
We study the geometric properties of a -dimensional complex manifold admitting a holomorphic reduction of the frame bundle to the structure group , the stabiliser of the line spanned by a pure spinor at a point. Geometrically, is endowed with a hol…
Failure of the measure contraction property via quotients in higher-step sub-Riemannian structuresmath.DG
New sub-Riemannian structures fail synthetic curvature bounds.
problem Failure of synthetic curvature bounds in sub-Riemannian geometry.
method New stability results for local MCP under quotients, applied to specific sub-Riemannian structures.
result Ideal sub-Riemannian structures can fail the MCP, generically for high dimensions and rank > 3.
Explains properties of multisymplectic manifolds.
problem None explicitly stated; focuses on defining and characterizing multisymplectic manifolds.
method Review and introduction of multisymplectic geometry concepts.
result Characterization of multisymplectic manifolds and their Hamiltonian structures.
The paper explores properties of Pin structures on surfaces and their cobordism.
problem Understanding Pin structures on compact surfaces and their cobordism.
method Analyzes Pin structures on surfaces and their cobordism, providing a construction for dimensions up to two.
result Pin structures on surfaces differ by a diffeomorphism if and only if they are cobordant, but this does not extend to higher dimensions.
The paper explores geometric structures on Hom-Lie groups and algebras.
problem Exploring Kähler-Norden structures on Hom-Lie groups and algebras.
method Analyzing the relationship between holomorphic Norden structures and Kähler-Norden structures on Hom-Lie groups.
result Left-invariant holomorphic Hom-Lie groups with abelian complex structures are flat.
It is well known that spinors on oriented Riemannian manifolds cannot be defined as sections of a vector bundle associated with the frame bundle. For this reason spin and spin^c structures are often introduced. In this paper we prove that spin^c structures have a universal property among all other structures that enabl…
Abstract geometric structures flow harmonically.
problem Geometric structures on Riemannian manifolds.
method Twistorial interpretation and abstract harmonicity condition.
result Established analytic properties of geometric gradient flow.
Counterexample found for Stein property of certain solvable Lie groups.
problem Stein property of simply connected unimodular solvable Lie groups with left-invariant complex structures.
method Constructing a solvable Lie group with specific properties.
result A simply connected solvable Lie group with a left-invariant complex structure whose universal cover is not Stein.