5 papers · 1 filter
The Deterministic Horizon: When Extended Reasoning Fails and Tool Delegation Becomes Necessary
Dongxin Guo, Jikun Wu, Siu Ming Yiu
Extended chain-of-thought reasoning can degrade performance on deterministic state-tracking tasks, not solely because of preference biases but, on the evidence we present, because…
The Deterministic Horizon: Impossibility Results as Design Specifications for Trustworthy AI Systems
Dongxin Guo
Large language models now write software, draft legal documents, and produce clinical notes, yet fundamental limits, from Turing and Arrow to the No Free Lunch theorems, shape what…
Bias by Necessity: Impossibility Theorems for Sequential Processing with Convergent AI and Human Validation
Jikun Wu, Dongxin Guo, Siu-Ming Yiu
Are certain cognitive biases mathematically inevitable consequences of sequential information processing? We prove that primacy effects, anchoring, and order-dependence are archite…
When Can Human-AI Teams Outperform Individuals? Tight Bounds with Impossibility Guarantees
Dongxin Guo, Jikun Wu, Siu-Ming Yiu
Human-AI teams fail to outperform their best member in 70% of studies, yet no theory specifies when complementarity is achievable. We derive tight bounds for the broad class of con…
Geometric Metrics for MoE Specialization: From Fisher Information to Early Failure Detection
Dongxin Guo, Jikun Wu, Siu Ming Yiu
Expert specialization is fundamental to Mixture-of-Experts (MoE) model success, yet existing metrics (cosine similarity, routing entropy) lack theoretical grounding and yield incon…