Unverified50% confidenceFactExact time
The heat semigroup of spherical Brownian motion is generated by the Laplace-Beltrami operator, and its kernel can be expanded in spherical harmonics to give an analytical transition density.
1
Sources
50%
Confidence
Long-term
Relevance
10/27/2026
First Seen
Sources
Related Entities
Related Claims
Unverified扩散模型的数学基础来源于物理学中的布朗运动和统计力学中的朗之万动力学，其代表作包括Stable Diffusion和DALL·E68% similarUnverifiedThe monograph The Principles of Diffusion Models was authored by Lai et al.59% similarUnverified波函数通过其模的平方 |ψ|² 给出粒子在某处出现的概率密度57% similarVerifiedThe theoretical foundations of diffusion models can be traced back to a 2015 paper on non-equilibrium thermodynamics published by Sohl-Dickstein et al.56% similarUnverifiedReverse KL tensorization focuses on the reverse form of the Kullback-Leibler divergence and gives an upper bound relation for how the reverse KL divergence under a product distribution is controlled by the reverse KL divergences of the marginal distributions.55% similar
Cite This Claim
Stable URI
https://kongchang.com/claim/1102202API
curl https://kongchang.com/api/v1/knowledge/claims/1102202MCP
get_claim(id=1102202)