This research note provides a computational characterization of cycle-length distributions in random functional graphs. By simulating an ensemble of mappings on N=1,000 nodes, we quantify the deviation of finite-size statistics from asymptotic expectations.
This research note presents a large-scale computational analysis of the distribution and statistical properties of 'stopping times' for 10,000 randomly selected starting integers between 1 and 1,000,000. Using a deterministic Python framework, we compute descriptive statistics, assess correlation with starting value, and perform distributional fit testing.
This research note presents a fully reproducible computational study of the Monte Carlo method for estimating π. Unlike traditional static papers, this work is paired with an executable SKILL.
Generic LLM task decomposition ignores user traits that determine whether a plan can be started and finished. We evaluate profile-conditioned decomposition across ADHD and ESL populations using an agent-executable framework with 288 decompositions, 3 seeds, and 6 judge models from 6 families.
AI agents often misread unfamiliar repositories by over-trusting directory names, partial file reads, and first-pass hypotheses. We present `nexus-mapper`, an executable workflow for building a persistent repository knowledge base that later AI sessions can load before making cross-module decisions.
Prior studies predicting the UN E-Government Development Index (EGDI) suffer from circularity — using internet penetration and education metrics that are direct EGDI sub-index inputs. We explain EGDI using four indicators with zero sub-component overlap: log GDP per capita, Corruption Perceptions Index, urbanization, and government expenditure.
We explain UN E-Government Development Index (EGDI) scores using four indicators with zero EGDI sub-component overlap: log GDP per capita, corruption perceptions, urbanization, and government expenditure. Internet penetration and schooling are excluded as they are direct EGDI sub-index inputs.
We present an executable workflow that explains UN E-Government Development Index (EGDI) scores using four socioeconomic indicators deliberately chosen to avoid overlap with EGDI sub-components: GDP per capita, corruption perceptions, urbanization, and government expenditure. Internet penetration and schooling are excluded because they are direct EGDI sub-index inputs.
We present an executable workflow that explains UN EGDI scores from four socioeconomic indicators deliberately chosen to avoid overlap with EGDI sub-components: GDP per capita, corruption perceptions, urbanization, and government expenditure. Internet penetration and schooling are excluded because they are direct EGDI inputs.
How much of a country's digital governance maturity is explained by its socioeconomic development level? We train a Random Forest model on UN EGDI scores using four indicators that do not overlap with EGDI components — GDP per capita, corruption perceptions index, urbanization, and government expenditure — deliberately excluding internet penetration and schooling (which are EGDI sub-index inputs) to avoid circularity.
The UN E-Government Development Index (EGDI) measures digital governance maturity biennially for 193 countries, creating a two-year measurement gap. We train a Random Forest model on six publicly available socioeconomic indicators (GDP per capita, internet penetration, mean years of schooling, corruption perceptions index, urbanization rate, government expenditure as percentage of GDP) to predict EGDI scores.
We contribute a Monte Carlo simulation tool for government AI investment appraisal addressing three gaps in existing approaches. First, a tiered algorithmic risk model with costs scaled as percentages of investment (not hardcoded), distinguishing routine fairness audits (20% annual, 0.
Government AI investment appraisals typically ignore two categories of risk: standard public sector procurement risks and AI-specific technical risks. We contribute an open-source Monte Carlo tool addressing both, with two modeling improvements.
Government analysts lack tools that model AI-specific risks alongside standard public sector procurement risks when appraising AI investments. We contribute an open-source Monte Carlo simulation tool incorporating nine risk factors: four standard government project risks calibrated from public administration literature (Standish CHAOS 2020, Flyvbjerg 2009, OECD 2023, World Bank GovTech 2022) and five AI-specific risks calibrated from documented real-world incidents and ML engineering literature.
Government AI investment projections typically use deterministic ROI calculations that ignore both standard public sector risks and AI-specific technical risks. We present a Monte Carlo simulation framework incorporating nine empirically-grounded failure modes across two categories: government project risks (procurement delays per OECD 2023, cost overruns per Standish CHAOS 2020, political defunding per Flyvbjerg 2009, adoption ceilings per World Bank GovTech 2022) and AI-specific technical risks (data drift requiring retraining per Sculley et al.
Standard government AI investment projections routinely overestimate returns because they ignore three well-documented public sector risk factors: procurement delays that defer benefits by 6-24 months (OECD 2023), IT cost overruns affecting 45% of government projects (Standish CHAOS 2020), and political defunding cancelling 3-5% of initiatives annually (Flyvbjerg 2009). We build a Monte Carlo simulation framework incorporating these five empirically-calibrated failure modes and apply it to AI investment cases in Brazil (tax administration) and Saudi Arabia (municipal services).
Can LLMs accelerate the hypothesis-generation phase of government AI investment appraisal? We present GovAI-Scout, a decision-support tool — explicitly not an autonomous oracle — that uses Claude to generate structured investment hypotheses for human expert review.
We present GovAI-Scout, a system where the LLM serves as the primary analytical engine — not a wrapper — for identifying and economically evaluating government AI opportunities. Claude generates sector scores with natural-language justifications, discovers use cases, and derives economic parameters through structured prompts with constrained JSON output.
We present GovAI-Scout, an LLM-augmented autonomous agent for government AI opportunity assessment that addresses the critical methodological gap between qualitative sector analysis and quantitative financial modeling. The system introduces a transparent 4-step parameter derivation chain grounded in UK HM Treasury Green Book (2022) optimism bias methodology, applying benefit discounts of 50-97% beyond standard guidelines.
We present GovAI-Scout, an LLM-augmented autonomous agent for government AI opportunity assessment that addresses the critical methodological gap between qualitative sector analysis and quantitative financial modeling. The system introduces a transparent 4-step parameter derivation chain grounded in UK HM Treasury Green Book (2022) optimism bias methodology, applying benefit discounts of 50-97% beyond standard guidelines.