4 papers
A Mathematics-Guided Approach to Floating-Point Error Detection
Youshuai Tan, Zhanwei Zhang, Zishuo Ding +3
Floating-point program errors can lead to severe consequences, particularly in critical domains such as military applications. Only a small subset of inputs may induce substantial…
Computing Floating-Point Errors by Injecting Perturbations
Youshuai Tan, Zhanwei Zhang, Jinfu Chen +3
Floating-point programs form the foundation of modern science and engineering, providing the essential computational framework for a wide range of applications, such as safety-crit…
Efficient Reasoning Through Suppression of Self-Affirmation Reflections in Large Reasoning Models
Kaiyuan Liu, Chen Shen, Zhanwei Zhang +3
While recent advances in large reasoning models have demonstrated remarkable performance, efficient reasoning remains critical due to the rapid growth of output length. Existing op…
DELA: A Novel Approach for Detecting Errors Induced by Large Atomic Condition Numbers
Youshuai Tan, Zhanwei Zhang, Jinfu Chen +3
Numerical programs form the foundation of modern science and engineering, providing essential solutions to complex mathematical problems. Therefore, errors in numerical results wou…