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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.

168,695 papers · 148 categories

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7 results for “remodeling”

Nonlinear soft-tissue elasticity, remodeling, and degradation described by an extended Finsler geometrycond-mat.soft

Theory models nonlinear soft tissue elasticity and remodeling using extended Finsler geometry.

problem Understanding and predicting the behavior of nonlinear soft tissues, especially in biologic contexts.

method Formulated a continuum mechanical theory incorporating extended Finsler geometry to describe the complex behaviors of fibrous soft solids.

result The model quantifies residual strains from growth, remodeling, and degradation, and predicts equilibrium configurations.

Finsler geometry soft tissue elasticity remodeling degradation biologic growth

2024-08-28abs ↗pdf ↗

Application of planar Randers geodesics with river-type perturbation in search modelsmath.DG

We consider remodeling the planar search patterns, in the presence of the river-type perturbation represented by the weak vector field, basing on the time-optimal paths as Finslerian solutions to the Zermelo navigation problem via Randers metric.

2015-11-23abs ↗pdf ↗

The evolution equation: an application of groupoids to material evolutionmath-ph

Study material evolution using groupoids to track intrinsic properties.

problem Tracking material evolution without considering the whole body.

method Construct a groupoid encoding intrinsic properties and characteristic foliations.

result Define the evolution equation for material points.

material evolution groupoids intrinsic properties foliations evolution equation

2021-08-15abs ↗pdf ↗

Characteristic foliations of material evolution: from remodeling to agingmath-ph

Unified framework for non-uniform materials evolving over time.

problem Dealing with non-uniform materials evolving over time.

method Constructing a material groupoid and material distribution.

result Unified framework for general non-uniform evolution materials.

material evolution groupoid material distribution non-uniform materials

2021-08-05abs ↗pdf ↗

Pattern representation and recognition with accelerated analog neuromorphic systemsq-bio.NC

Despite being originally inspired by the central nervous system, artificial neural networks have diverged from their biological archetypes as they have been remodeled to fit particular tasks. In this paper, we review several possibilites to reverse map these architectures to biologically more realistic spiking networks…

2017-03-17abs ↗pdf ↗

Skyformer: Remodel Self-Attention with Gaussian Kernel and Nyström Methodcs.LG

Skyformer uses Gaussian kernel and Nyström method to speed up self-attention in transformers.

problem High computational cost of self-attention in transformers.

method Replaces softmax with Gaussian kernel and applies Nyström method for matrix approximation.

result Skyformer achieves comparable or better performance with fewer computation resources.

transformers self-attention kernel methods Nyström method Gaussian kernel

2021-10-29abs ↗pdf ↗

Knot Invariants from Topological Recursion on Augmentation Varietieshep-th

Using the duality between Wilson loop expectation values of SU(N) Chern-Simons theory on $S^3$ and topological open-string amplitudes on the local mirror of the resolved conifold, we study knots on $S^3$ and their invariants encoded in colored HOMFLY polynomials by means of topological recursion. In the context of the …

2014-01-20abs ↗pdf ↗