Authors

Jie Xu

Publications 9

Preprint Open access

An AI-Assisted Formalization of the Poincaré Conjecture

We present an AI-assisted Lean 4 formalization of the Poincaré conjecture. The project began with limited reusable formal infrastructure for the geometric analysis behind the proof. To organize this work, we combined a proof blueprint prepared by mathematicians with explicit milestone statements. These milestones enabl …

Preprint Open access

When to Compile a Computer-Use Agent? Measuring Payback and Making Compilation Decisions for Token Efficiency

Yulong Ming, Jie Xu, Zihan Wu et al. · 2026

Compiling GUI procedures that agents execute repeatedly into programs can reduce their token costs. However, measuring payback and deciding when to compile have two challenges. First, compilation costs are uncertain because attempts can require repair and still fail to produce a usable program. Second, future reuse is …

Preprint Open access

MonoEgo: Monocular Metric Egocentric Demonstration Capture with Passive Wrist Constellations and Sparse Workstation Anchors

Jie Xu, Kangjin Yu, Ziyi Jin et al. · 2026

Image-aligned metric demonstrations often require dedicated tracking hardware and synchronization across devices. We present MonoEgo, a capture system that replaces active wrist instrumentation with offline monocular reconstruction. One 90-FPS global-shutter camera observes calibrated passive wrist constellations, spar …

Preprint Open access

Generalizable Robotic Insertion with World Models

Robotic assembly in high-mixture settings requires adaptable systems that can handle diverse parts, yet current approaches typically rely on policies specialized to each insertion task. Although this can reach high success rates, it makes the process of deploying systems for new problems tedious and time consuming. We …

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