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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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0111 · Oct 201919922001200920172026
3 results for “ODENet”
Universal approximation property of ODENet and ResNet with a single activation functioncs.LG

Universal approximation for ODENet and ResNet with a single activation function.

problem Approximating complex dynamical systems with limited vector fields.
method Examined ODENet and ResNet with vector fields composed of a single activation function and affine mapping.
result ODENet and ResNet with restricted vector fields can uniformly approximate those with general vector fields.
Universal approximationODENetResNetDeep learningActivation function
2024-10-22abs ↗pdf ↗
Universal Approximation Properties for an ODENet and a ResNet: Mathematical Analysis and Numerical Experimentscs.LG

UDENet and ResNet can approximate any function, with ODENet showing UAP for continuous functions.

problem Approximating any function using ODENet and ResNet.
method Proved UAP for ODENet and ResNet, derived gradient, and applied to various problems.
result UDENet and ResNet can approximate any function, with ODENet showing UAP for continuous functions.
Universal Approximation PropertyDeep LearningODENetResNetContinuous Functions
2020-12-22abs ↗pdf ↗
On Robustness of Neural Ordinary Differential Equationscs.LG

Neural ordinary differential equations (ODEs) have been attracting increasing attention in various research domains recently. There have been some works studying optimization issues and approximation capabilities of neural ODEs, but their robustness is still yet unclear. In this work, we fill this important gap by expl…

2019-10-12abs ↗pdf ↗