Unverified50% confidenceFactExact time
The conjugate moment measure differs from the original decomposition solely in that the transport uses the gradient of the Gaussian transform of the potential function, rather than the gradient of the potential function directly.
1
Sources
50%
Confidence
Long-term
Relevance
9/21/2026
First Seen
Sources
Related Entities
Related Claims
UnverifiedCordero-Erausquin and Klartag proved the moment measure decomposition theorem in 2015: any probability measure ρ with a first moment, zero barycenter, and support not contained in a hyperplane can be decomposed into a specific form, where the transport map is the gradient of a convex function u.67% similarUnverifiedHardy、Benedicks、Amrein-Berthier等人证明了函数及其傅里叶变换的支撑集不能同时具有有限测度（除非函数为零）63% similarUnverified在纽结理论中，AI发现了双曲体积与代数不变量之间此前未知的函数关系61% similarUnverifiedHardy在1933年证明：如果函数f(x)和其傅里叶变换都以高斯函数e^{-πx²}速率衰减，则f必须是高斯函数的常数倍；衰减更快则f≡061% similarUnverified基于势函数的奖励塑形（Ng 等人，1999）经理论证明不会改变最优策略，其形式为 F = γΦ(s') - Φ(s)61% similar
Cite This Claim
Stable URI
https://kongchang.com/claim/937740API
curl https://kongchang.com/api/v1/knowledge/claims/937740MCP
get_claim(id=937740)