GraphGP: New GPU Algorithm Scales Gaussian Processes to Billions of Parameters
Researchers have introduced GraphGP, a GPU-based algorithm that uses Vecchia's approximation to scale Gaussian processes to nearly one billion parameters with linear time and memory requirements. Gaussian processes are widely used for modeling continuous fields but have historically been limited by cubic computational costs and quadratic memory demands. GraphGP's scalability could significantly expand the practical applicability of Gaussian processes in large-scale scientific and machine learning tasks.
GraphGP is a new algorithm designed to overcome the longstanding computational bottlenecks of Gaussian processes (GPs), which traditionally require O(N³) computation and O(N²) memory, making them impractical for large datasets. The method leverages Vecchia's approximation, which constructs a sparse precision matrix by conditioning each point only on its k nearest neighbors, reducing complexity to linear in both time and memory. A key technical innovation is a bit-reversed k-d tree ordering scheme that simultaneously enables efficient nearest-neighbor searches and maximizes batch parallelism on GPU hardware. The team also developed a differentiable CUDA implementation that outperforms a pure JAX baseline in both speed and memory efficiency. GraphGP provides core building blocks for probabilistic inference, including forward generation, inverse application, log-determinant computation, and kernel parameter derivatives. The work has been accepted to the Conference on Physics and AI (PAI 2026) at Stanford University, reflecting its relevance to scientific computing applications such as astrophysical data modeling.
What's missing
The paper does not report empirical benchmark results comparing GraphGP's accuracy against exact GP inference or other sparse approximation methods at varying scales, leaving the approximation quality trade-offs under-characterized.
What different sources said
- arXiv stat.MLCenter
GraphGP: Scalable Gaussian Processes with Vecchia's Approximation
Related
Gut Bacteria Enzyme Found to Break Down Heat-Processed Food Compounds, Producing Novel Biogenic Amines
Researchers have discovered that an enzyme in common gut bacteria can degrade N-epsilon-carboxymethyllysine (CML), a compound formed during thermal food processing, producing previously unknown biogenic amines. The enzyme, ornithine decarboxylase SpeC from enterobacteria, acts on CML and related modified lysine derivatives through a low-level 'underground' catalytic activity. This finding suggests a previously unrecognized communication axis between thermally processed dietary compounds and gut microbial physiology, with potential implications for host health.
Full-Length Gene Sequencing Reveals Two Distinct Bacterial Communities in Black-Legged Ticks Expanding Into Canada
Researchers used Oxford Nanopore full-length 16S rRNA gene sequencing to characterize the microbiome of Ixodes scapularis black-legged ticks collected in Nova Scotia, Canada, distinguishing between tick-adapted bacteria and environmentally acquired bacteria. The study comes as I. scapularis — the primary vector of Lyme disease — is rapidly expanding northward into Canada due to climate change. The findings suggest that environmentally derived bacteria in tick microbiomes are not mere contamination, which has implications for how tick microbiome data is collected and interpreted across surveillance studies.
Study Identifies Metabolic Link Between Cell Envelope Stress and Biofilm Formation in Bacteria
Researchers have discovered that the metabolite acetyl-CoA directly inhibits enzymes that degrade the bacterial signaling molecule c-di-GMP, connecting cell envelope biosynthesis stress to biofilm formation in Pseudomonas aeruginosa. The study found that sub-inhibitory concentrations of antibiotics targeting early peptidoglycan biosynthesis — but not other antibiotic classes — elevate c-di-GMP levels by reducing phosphodiesterase activity, with acetyl-CoA competing for the enzyme active site. Because the relevant enzyme domain is broadly conserved across bacterial species, this checkpoint mechanism may be widespread and could have implications for understanding antibiotic-induced biofilm responses.