Research
On-device research index

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

Trend · papers per month

count% of corpus
0111 · Nov 202319922001200920172026
2 results for “HR-calculus”
The HR-Calculus: Enabling Information Processing with Quaternion Algebrastat.ML

HR-calculus enables adaptive processing of quaternion signals.

problem Lack of adaptive processing techniques for quaternion-valued signals.
method Introduction and development of HR-calculus for quaternion algebra.
result Derivation of gradient operator, chain and product derivative rules, and Taylor series expansion for quaternion calculus.
quaternion algebraadaptive processingHR-calculusmachine learningsignal processing
2023-11-28abs ↗pdf ↗
A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devicesquant-ph

The paper uses quaternions to model quantum learning on devices.

problem Designing adaption and optimization techniques for quantum learning machines.
method Division algebra of quaternions to model computation and measurement on qubits, developing a training framework.
result Established quantum information processing units similar to neurons in classical approaches.
quaternionsquantum learningqubitsHR-calculusneurons
2025-04-17abs ↗pdf ↗