6 papers
Goldsmith: Gold-Loss-Guided Definition Optimization with an Agentic Annotation Harness
Yihan Li, Hanyi Zhang, Xiaoxi Jiang +1
Many annotation projects begin before experts have a stable guideline or enough labels to train a task-specific model. We present Goldsmith, an agentic pipeline that turns a small…
Interior Hessian estimates for sum Hessian quotient equation
Changyu Ren, Ziyi Wang
This paper is devoted to the interior estimates for a class of sum Hessian quotient equations. For , we establish the interior estimates and the Pogorelov type e…
Pogorelov type estimates for sum Hessian equations
Pengfei Li, Changyu Ren
In this paper, We establish Pogorelov type estimates for the admissible solutions with bounded from below of Sum Hessian equations. We also proved the lower bound…
Interior estimates for a class of sum Hessian equation
Changyu Ren, Ziyi Wang
In this paper, we mainly study the interior estimates for a class of sum Hessian equations. We establish the interior estimates and the Pogorelov type estimates for .…
A general form of Newton-Maclaurin type inequalities
Changyu Ren
In this paper, we extend the classical Newton-Maclaurin inequalities to functions $S_{k;s}(x)=E_k(x)+\dsum_{i=1}^s \al_i E_{k-i}(x)$, which are formed by linear combinations of mul…
Newton-Maclaurin type inequalities for linear combinations of elementary symmetric functions
Shuqi Hu, Changyu Ren, Ziyi Wang
In this paper, we establish Newton-Maclaurin type inequalities for functions arising from linear combinations of primitively symmetric polynomials. This generalization extends the…