The coherent-subset classification conjecture for weak localizing subcategories

Let $X$ be a noetherian scheme. A coherent subset of $X$ is a subset of the underlying topological space of the kind appearing in Krause's classification for commutative noetherian rings. A weak localizing subcategory of $\operatorname{QCoh}(X)$ is a full subcategory closed under subobjects, quotients, extensions, and coproducts. The coherent-subset classification conjecture. There is a bijection between the collection of coherent subsets of $X$ and weak localizing subcategories of $\operatorname{QCoh}(X)$. This would extend Takahashi's classification from commutative noetherian rings to noetherian schemes and generalize Krause's description in terms of coherent subsets.