5 papers
3-Designs from -Invariant Subspaces of
Lewen Wang, Huawei Wu, Sihuang Hu
We present a uniform framework for constructing -designs from -invariant subspaces of , the space of homogeneous polynomials of d…
Lower Bounds on Conversion Bandwidth for MDS Convertible Codes in Split Regime
Lewen Wang, Sihuang Hu
We propose several new lower bounds on the bandwidth costs of MDS convertible codes using a linear-algebraic framework. The derived bounds improve previous results in certain param…
MarS: a Financial Market Simulation Engine Powered by Generative Foundation Model
Junjie Li, Yang Liu, Weiqing Liu +4
Generative models aim to simulate realistic effects of various actions across different contexts, from text generation to visual effects. Despite significant efforts to build real-…
Lower Bounds on the Sub-Packetization of Optimal-Access MSR Codes for Multiple-Node Repair
Lewen Wang, Zihao Zhang, Sihuang Hu
We establish lower bounds on the sub-packetization of optimal-access MSR codes in the context of multiple-node failures. These bounds generalize the tight bounds for single-node fa…
BPQP: A Differentiable Convex Optimization Framework for Efficient End-to-End Learning
Jianming Pan, Zeqi Ye, Xiao Yang +4
Data-driven decision-making processes increasingly utilize end-to-end learnable deep neural networks to render final decisions. Sometimes, the output of the forward functions in ce…