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,…
A Dichotomy for MIP* in the Presence of Unital Noise
Yangjing Dong, Zhenyu Jiang, Minglong Qin +2
A recent work studied quantum two-prover one-round proof systems . It showed that when is a noisy EPR state with quantum maximal correlation $…
Fooling Thresholds of Halfspaces
Minglong Qin, Penghui Yao, Mingnan Zhao +1
We initiate the study of constructing explicit pseudorandom generators for thresholds of halfspaces with seed length polylogarithmic in the number of halfspaces. This class of func…
Dimension-Free Approximate Tensorization of Quantum Hypercontractivity for Qudit Depolarizing Semigroups
Yangjing Dong, Li Gao, Fengning Ou +2
We prove approximate tensorization for hypercontractivity and logarithmic-Sobolev constants for a class of primitive reversible quantum Markov semigroups satisfying the positive of…
An explicit type number formula for quaternion orders of level
Yifan Luo, Haigang Zhou
We give an explicit type number formula for the quaternion orders of level specified in this paper, where , the primes are di…
The classification and representations of positive definite ternary quadratic forms of level 4N
Yifan Luo, Haigang Zhou
Classifications and representations are two main topics in the theory of quadratic forms. In this paper, we consider these topics of ternary quadratic forms. For a given squarefree…