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Inference Stack Degradation Theory (v1.5)
An author-published research proposal about load-coupled numerical drift in LLM inference and monitoring through a Prompt Weather Index. It distinguishes stability from correctness and sets out a validation path.
Original document language: English. The interface language does not translate the source document.
Inference Stack Degradation Theory
Load-Coupled Numerical Drift and Monitoring in LLM Inference
Version 1.5
Roble Mumin
Independent AI Researcher and AI Consultant
https://roblemumin.com
December 2025
Inference Stack Degradation Theory v1.5
Contents
1 Introduction
2 Scope and Non-Claims
3 Established Findings from Prior Work
3.1 Floating-Point Non-Associativity
3.2 Batch Dependence as Practical Cause
4 Relation to ML Systems Research
5 Inference Stack Degradation Theory
5.1 Formal Framing
5.2 Null Hypothesis
6 Autoregressive Sensitivity Considerations
7 Prompt Weather Index
7.1 Motivation
7.2 Definition
7.3 Stability Versus Correctness
7.4 Falsifiability
8 Minimal Empirical Validation Path
9 Operational and Ethical Considerations
10 Implications if Validated
11 Open Research Questions
12 Conclusion
Roble Mumin Page 2 of
Inference Stack Degradation Theory v1.5
Experiments
13 Experiments
13.1 Experiment 1: Reproducing Batch-Induced Token-Level Divergence
13.1.1 Objective
13.1.2 Setup
13.1.3 Expected Metrics
13.1.4 Null Hypothesis
13.1.5 Agentic Execution Notes
13.2 Experiment 2: Measuring Autoregressive Drift Accumulation
13.2.1 Objective
13.2.2 Setup
13.2.3 Expected ISDT Outcome
13.2.4 Agentic Execution Notes
13.3 Experiment 3: Prompt Weather Index (PWI) Time-Series Monitoring
13.3.1 Objective
13.3.2 Setup
13.3.3 Null Hypothesis
13.3.4 Elaboration: Metric Sensitivity and Weight Robustness
13.3.5 Agentic Execution Notes
13.4 Experiment 4: Task-Level Correctness…Open DocumentCite this document
Roble Mumin “Inference Stack Degradation Theory (v1.5)”.
2025-12.
Available at:Document page
current summary qualified; independent peer review not verified
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