Live Roundups Editor's Desk Insights Executive Ops Weather About 🔍
Home › Science › Fitting scattered data with optional monotonicity...
Science

Fitting scattered data with optional monotonicity constraints on GPU: LipFit package

arXiv CS Thursday 04 June 2026, 04:00 UTC By Gleb Beliakov 1 min read
Key Points

arXiv:2606.04670v1 Announce Type: new Abstract: This paper presents a method of multivariate scattered data interpolation and approximation that produces optimal Lipschitz-continuous approximation, subject to the desired monotonicity constraints. This method relies on tight upper and lower approximations to the data, and is similar in its spirit to the nearest-neighbour approximation but does not suffer from discontinuities. Local Lipschitz interpolation and Lipschitz smoothing are also...

arXiv:2606.04670v1 Announce Type: new Abstract: This paper presents a method of multivariate scattered data interpolation and approximation that produces optimal Lipschitz-continuous approximation, subject to the desired monotonicity constraints. This method relies on tight upper and lower approximations to the data, and is similar in its spirit to the nearest-neighbour approximation but does not suffer from discontinuities. Local Lipschitz interpolation and Lipschitz smoothing are also presented. This approach falls under the umbrella of instance-based approximation with no training phase, and it is suitable for GPU-based parallelisation. A Python GPU-friendly package LipFit which implements the methods discussed is discussed.
GPU (ORG) Lipschitz (PERSON) Python (ORG)
Originally published by arXiv CS Read original →

Related Stories

Genetically modified worms can now produce and deliver drugs inside a living body, scientists say

Genetically modified worms can now produce and deliver drugs inside a living body, scientists say In a proof-of-concept lab experiment, scientists demonstrated that intestinal parasites could make and release therapeutic agents inside a living host. Scientists genetically tweaked a tiny, worm-like parasite to produce a life-saving antitoxin from inside a living host. In a first-of-its-kind study, researchers modified the hookworm Ancylostoma ceylanicum so that it produces antibodies that...

Live Science 45m ago

Indonesia Landslides Devastated Endangered Orangutans, Study Finds

More than 5 percent of the species is estimated to have been lost when a climate-fueled storm unleashed torrents of water, mud and debris.

NYT Science 54m ago

Mysterious 'cold blob' in the Atlantic is a sign of the Gulf Stream weakening — and that's bad news for the US East Coast

Mysterious 'cold blob' in the Atlantic is a sign of the Gulf Stream weakening — and that's bad news for the US East Coast The Atlantic's enigmatic "cold blob" has once again been linked to a weakening of key ocean currents and a devastating climate tipping point. A mysterious "cold blob" in the Atlantic Ocean is a sign that key ocean currents are weakening, a new study has found, with potentially devastating long-term impacts on our climate and weather. The cold blob, or North Atlantic...

Live Science 59m ago

Neuroscientist reveals the one 'superfood' he eats every single day to slow down ageing

Neuroscientist reveals the one 'superfood' he eats every single day to slow down ageing Neuroscientist Dr David Cox has spoken about how what we eat influences how we age while revealing the one 'superfood' he consumes daily to be as healthy as possible A neuroscientist and health journalist has revealed the one 'superfood' he eats every single day to slow down the ageing process. Dr David Cox, who is the author of The Age Code, made the comments on Tonight on ITV. The documentary looked at...

Daily Mirror 1h ago