6 papers
Data Curation and Model Souping: Unlocking Qwen3-0.6B for MS MARCO Passage Ranking
Shuguang Han
This report studies passage retrieval and re-ranking on the MS MARCO benchmark using lightweight Qwen3-0.6B models. Across three experimental settings --- BM25-then-reranking task,…
Operators with disconnected spectrum in von Neumann algebras
Minghui Ma, Rui Shi, Tianze Wang
Let be a von Neumann algebra, a weak-operator dense ideal in , and a unitarily invariant -dominating norm on .…
Products of irreducible operators in factors
Minghui Ma, Junhao Shen, Rui Shi +1
Let be a separable factor. An operator in is said to be irreducible in if the von Neumann algebra generated by is an irred…
Density of irreducible operators in the trace-class norm
Junsheng Fang, Chunlan Jiang, Minghui Ma +3
In 1968, Paul Halmos initiated the research on density of the set of irreducible operators on a separable Hilbert space. Through the research, a long-standing unsolved problem inqu…
The number of solutions of diagonal cubic equations over finite fields
Wenxu Ge, Weiping Li, Tianze Wang
Let be a finite field of elements. For any , let and denote the number of solutions of the equations $x_1^3+x_2^3+\cdots…
The symplectic geometry of a new kind of Siegel upper half space of order 2 (I)
Tianqin Wang, Tianze Wang, Hongwen Lu
In this paper, we introduce a new kind of Siegel upper half space and consider the symplectic geometry on it explicitly under the action of the group of all holomorphic transformat…