generative ai

The deflated-Welch statistic: a closed-form, guaranteed-level test for heteroscedastic one-way ANOVA. (T_BB, m01a): Methods, confidence-set-geometry development, derivations, novelty, and reporting standard): reproducibility deposit

The deflated-Welch statistic: a closed-form, guaranteed-level test for heteroscedastic one-way ANOVA William J. Dwyer, MD, MPH, FAAP — Department of Mathematics and Statistics, University of Massachusetts Lowell. ORCID 0009-0004-0855-7222. Concept DOI (always resolves to the latest version): 10.5281/zenodo.21908169. What this is The reproducibility deposit for the deflated-Welch statistic T_BB, a closed-form, guaranteed-level test for heteroscedastic one-way ANOVA (the Behrens–Fisher problem for k ≥ 3 groups). Welch's test becomes liberal under skew and unstable variance weights at small samples; T_BB = Q(s²)·exp(−R) keeps the ordinary group means and buys a guaranteed level by deflating the Welch quadratic by a Berger–Boos scale-inflation radius R. Three operating points are provided: a fixedcalibrated radius (κ_s), a design-adaptive near-guarantee radius (closed-form polygamma Cornish–Fisher with a finite-nkurtosis guard), and a fully proved smallest-eigenvalue radius R_eig (Gaussian, extended under bounded kurtosis). What the deposit contains Manuscript (author + anonymized) and a derivations supplement (DA1–DA13) plus a long-form derivations companion, covering: why Welch fails under skew in closed form; the Berger–Boos deflation and its exact worst-case radius; the polygamma-cumulant Cornish–Fisher radius with saddlepoint-exact normal backbone; the excess-kurtosis tail term with its finite-n upper-confidence guard; the imbalance correction; the fully proved smallest-eigenvalue radius (with the k-group multiplicity fix, free-β optimization, and the proved-under-bounded-kurtosis widening); and the k-sample Behrens–Fisher null distribution. Interactive demonstrator rerun_cochran/honest_anova.html — computes raw-mean Welch, the fixed / adaptive / proved T_BB radii, the estimand-changing transform routes, and the full routing receipt in the browser, reproducing the deposited Python. Its engine is extracted as a standalone Node module (m01A_anova_engine.js) and checked cell-by-cell against Python across an 84-design taxonomy (verify_anova_engine_taxonomy.py/.js, max |Δp| = 0.00000). Reproducibility scripts (rerun_cochran/, rerun/) — every reported number traces to a named, deterministically-seeded script (size/power/surface, the calibration and information-limit decompositions, the proved-radius verification, the imbalance calibration, the skew-router branch, and the figures). Real-data evidence — anova_flip_scan.py scans 2,783 public one-way layouts (254 datasets): guaranteed T_BBwithholds ~41% of Welch-significant calls, concentrated where the weight-instability screen fires, and never manufactures significance (Table 7 / Figure 15). Figures and the deterministic deposit builder (fixed timestamps → stable md5). All evaluation is simulation-based; the one empirical component is the public-dataset scan, which uses only openly distributed data. Code is released under the MIT License; text and figures under CC BY 4.0. Version history (consolidated changelog) Published version DOIs are marked ✅; the concept DOI above always resolves to the latest. Staged versions were rolled into the next published one unless noted. v1.0.77 ✅ 10.5281/zenodo.22167690 (2026-08-30): CSDA guide-for-authors conformance — abstract trimmed to 247 words (from 284), keywords cut to 7 (from 11), the withholding highlight shortened to ≤85 characters, and the arXiv PDF/source regenerated. No change to methods, results, figures, or code. v1.0.76 ✅ 10.5281/zenodo.22167536 (2026-08-30) — AI-disclosure heading aligned to Elsevier. The manuscript's declaration heading is now "Declaration of generative AI and AI-assisted technologies in the manuscript preparation process" (was "Use of generative AI"); the disclosure body is unchanged. Prepared alongside an Elsevier-compliant cover-letter variant and an EM suggested-reviewer sheet (both kept outside the deposit). docx/pdf rebuilt; deterministic md5 refreshed. v1.0.75 ✅ 10.5281/zenodo.22167304 (2026-08-30) — Submission-sharpening pass. Graphical abstract + Elsevier Highlights; figures and tables renumbered into reading order with per-table Source clauses; the validity–power frontier (Figure 8) now carries the proved R_eig operating point (100% validity, size-adjusted power 0.613, merge_tbb_proved_frontier.py); new Section 7 "Recovering power by design" + Table 8 (rc_anova_power_by_design.py); and a live required-n calculator in honest_anova.html (per-group and total n for 80% power, "power now @ total n"), with a numeric-heading CSS fix and the engine re-verified against Python at 0.00000. v1.0.74 ✅ 10.5281/zenodo.22165892 (2026-08-29) — Proved-under-bounded-kurtosis radius (DA12.6). The proved non-normal widening now keys on excess kurtosis, √(1 + κ̂·(n−1)/(2n)), from the exact Var(s²/σ²) = 2/(n−1) + κ/n, so symmetric heavy tails (Student-t) are covered where the old skew form √(1 + 0.75·skew²) under-covered; tbbProvedswitched to the kurtosis form across the demonstrator, engine, and Python truth (re-verified JS-vs-Python at 0.00000); new rc_anova_kurtosis_proof.py + deep-dive. v1.0.73 ✅ 10.5281/zenodo.22165709 (2026-08-29) — Reconstructed & verified demonstrator engine (standalone Node module + taxonomy verifier, max |Δp| = 0.00000 across 84 designs; Yuen zero-variance fix; T_BB-routed presets both directions); series-impact deep-dive (the corrected R_eig k-group multiplicity gap also reaches m03 and m01t). v1.0.72 (2026-08-29) — Title set to "The deflated-Welch statistic…"; corrected + optimized proved radius R_eig (β/k multiplicity fix + β-optimization, DA12); real-data Welch-vs-T_BB flip scan (2,783 layouts; Table 7 / Figure 15) + demonstrator imbalance-factor fix; long-form derivations companion. v1.0.71 / v1.0.70 (2026-08-21) — Zhang normal-reference comparator benchmarked on the efficiency frontier (valid on only 24% of designs, in the calibrated-liberal cluster); k = 2 adaptive-radius case-study fold (design-scaling vs shape-keying distinction). v1.0.69 ✅ 10.5281/zenodo.22035826 (2026-08-20) — HTML R1/R2 presentation pass + Figure 9 adaptive per-cluster label merge. v1.0.68 ✅ 10.5281/zenodo.22033737 (2026-08-20) — Companion consolidation into a single six-column Table 6; Figures 11–14 harmonized into one story. v1.0.67 / v1.0.65 / v1.0.60 (2026-08-19/20) — Guarded-reference naming-collision fix; the 40,000-replication expanded-frontier pin (Table 3 + Figure 8) with the symmetric-heteroscedastic skew-router branch; the mean-preserving lightened-R_eig do-not-use fallback. v1.0.59 ✅ 10.5281/zenodo.21995320 (2026-08-18) — Reporting standard + honest_anova.html demonstrator re-aligned to the current T_BB methods paper. v1.0.57 ✅ 10.5281/zenodo.21986847 (2026-08-17) — Reviewer-comprehension pass (multi-paragraph abstract, contributions list, trimmed captions); proved radius R_eig added as a Table 3 scorecard row; corner tail-index correction (N−k)/2 (low-order moments exist in every deployed design). v1.0.56–v1.0.49 (2026-08-16) — The k-sample Behrens–Fisher corner-distribution program: two-moment scaled-χ² corner reference, derived corner cumulants, the secular-eigenvalue law + closed CGF + power-law tail, consolidated into derivations DA13 with a prior-art/novelty audit. v1.0.48 ✅ 10.5281/zenodo.21963458 (2026-08-16) — The unifying λ(z) correction (a smooth instability-keyed deflation strength). v1.0.45 ✅ 10.5281/zenodo.21962965 (2026-08-16) — Atomic sparsity index + bootstrap-t edge hardening + shape-aware pooled standardized-residual bootstrap (SA-PSRB); multivariate transfer to m03. v1.0.44–v1.0.41 (2026-08-16) — Shape-moment re-injection order (skew is the sweet spot), validated and hardened pooled standardized-residual bootstrap, atomic weight-noise probes. v1.0.40 ✅ 10.5281/zenodo.21961667 (2026-08-16) — Log-domain weight-stabilization probe (negative for stabilization; clarifies the size-adjusted oracle ceiling); includes the oracle-power gap decomposition (≈92% conservatism, ≈8% estimation). v1.0.37 ✅ 10.5281/zenodo.21961327 (2026-08-16) — Residual-bootstrap qualification of the shoot-out + the first proved Gaussian smallest-eigenvalue radius R_eig (DA12, the p = 1 specialization of the m03 theorem). v1.0.36 (2026-08-15) — Figure 11 T_BB-region colour fix (amber, matching the routing figures). v1.0.27 ✅ 10.5281/zenodo.21908170 — Earlier published baseline of the deposit. Provenance: every number traces to a named, deterministically-seeded script listed in the manuscript Declarations; the demonstrator engine reproduces the deposited Python to max |Δp| = 0.00000 across the taxonomy verification. License. Code and scripts in the deposit are released under the MIT License; text and figures under CC BY 4.0. Reuse is permitted with attribution to the author and citation of the concept DOI above. How to cite. Dwyer, W. J. The deflated-Welch statistic: a closed-form, guaranteed-level test for heteroscedastic one-way ANOVA. Reproducibility deposit, Zenodo. https://doi.org/10.5281/zenodo.21908169

Baiyuan GEO Platform: A Whitepaper on Building a SaaS for Generative Engine Optimization

An engineering whitepaper documenting the construction of Baiyuan GEO Platform (2024–2026), a SaaS system for Generative Engine Optimization. The system helps brands be cited accurately and consistently across ChatGPT, Claude, Gemini, Perplexity, DeepSeek, and 15+ AI platforms. Coverage: seven-dimension AI citation-rate scoring algorithm, AI-Bot-friendly shadow document delivery (AXP) on customer-owned domains, Schema.org three-layer entity knowledge graph, closed-loop hallucination detection & auto-remediation, F12 three-layer structural optimizer (V1 rule-based + V3.1 dual-engine AutoGEO + E-GEO), rag-backend-v2 LLM hallucination hardening (six defense layers), and platform SSOT chain (brand_faq / page_type / alerts unification). v1.1.2 (this version): substantially expanded chapters 14, 15, 16 in both Traditional Chinese (zh-TW) and English (en) editions — added new sections covering early hand-tuning failure modes, bidirectional rollback design, placeholder guard trigger story, patch order causal chain analysis, cross-tenant cache privacy boundary, breadcrumb 404 ghost incident review (42 days, ~3000 ghost URLs), cross-microservice SSOT boundaries, and 5 engineering lessons (takeaways) per chapter — totaling ~13,000 additional words across 6 chapter files. Also adds LinkedIn launch announcement drafts (4 versions: zh-TW/en/ja personal + zh-TW company). v1.2.0 (this version): adds Part VI — three new chapters (Ch 17 cross-border China GEO with a Hong Kong edge node, UA routing, ICP-free central compliance and bidirectional AI visibility; Ch 18 AXP HTML Mirror-First semantic-HTML shadow documents; Ch 19 a five-layer cache-invalidation architecture for zero-touch propagation) in Traditional Chinese and English; backfills the Japanese edition to full parity (ja chapters 14–19 added); and expands Ch 13 (multimodal GEO) across all three languages with VideoObject GSC parity + origin backfill, a same-origin copyright filter, and sitemap image/video extensions. Languages: Traditional Chinese, English, and Japanese — all complete through chapter 19. License: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0).

Generative AI Adoption for Image and Video Creation by Creators and Small Businesses in Emerging Markets: An Evidence Map and Early Platform Usage Study

Creators, freelancers, and small businesses in emerging markets are among the earliest and most intensive users of generative image and video tools, yet the academic evidence on their adoption remains fragmented across disciplines. This article contributes a two-part evidence base. The first part is a verified corpus of 850 unique academic works on generative AI adoption, assembled through 190 audited queries across OpenAlex, Crossref, and arXiv; every record is deduplicated, 838 carry a resolvable DOI, and 762 are confirmed by two or more independent bibliographic sources. Coverage analysis of the corpus quantifies a specific gap: only nine works simultaneously address emerging markets, image or video generation, and creator or small-business populations, and the intersection of video generation with small and medium-sized enterprises remains empty. The second part supplies behavioral evidence from a 45-day production window of Geramaker, a Brazilian pay-per-use platform for AI image, video, narration, and music generation, covering 2,605 accounts, 7,005 model calls, and 62 paid transactions. Adoption proves near-instant under free entry (median of one minute from signup to first output), purchase decisions compress to minutes on local instant-payment rails, and image-to-video animation of existing photographs dominates video demand. Retention, rather than activation, emerges as the binding constraint: 96% of users generate on a single calendar day. The article maps the observed drivers and inhibitors onto established adoption constructs and derives a research agenda for the under-studied intersection the corpus reveals.

Artificial Intelligence and Cyber Law in India: Recalibrating Legal Responsibility in The Age of Generative AI

Abstract This paper examines the challenges posed by Generative Artificial Intelligence (AI) to cyber law and legal responsibility in India. It argues that the rapid generation and dissemination of synthetic text, images, audio and video complicate traditional approaches to responsibility, particularly where developers, deployers, users and intermediaries exercise different degrees of control over AI-related risks. The study analyses the interaction of the Information Technology Act, 2000, the Information Technology (Intermediary Guidelines and Digital Media Ethics Code) Rules, 2021, and the Digital Personal Data Protection Act, 2023, while considering data governance, intermediary liability, AI-generated digital evidence, cybersecurity, transparency and professional responsibility. It proposes a risk-sensitive, lifecycle-based framework in which legal duties correspond to the degree of control, foreseeable harm and institutional responsibility. Particular emphasis is placed on human oversight in AI-assisted adjudication, verification of AI-generated legal material, provenance of synthetic content, privacy and security by design, effective remedies, and institutional documentation through AI-use registers for high-impact applications. The paper concludes that India should promote responsible AI adoption through a human-centred cyber-law framework that balances technological innovation with privacy, authenticity, security and the integrity of legal institutions.

A Comparative Study on Portrait Photography Implementation of Image Generative AI -Focusing on Chat GPT and Gemini-

Algorithmic Authorship, Data Sovereignty, And Intellectual Property Rights: Navigating the Intersection of Law, Science, And Society in the

Abstract The rapid convergence of artificial intelligence (AI), data science, and legal frameworks has created a profound crisis within global and domestic Intellectual Property Rights (IPR) regimes. Traditionally, copyright and patent laws were constructed around the central premise of human agency, recognizing intellectual labor as an extension of human dignity and personality. However, the rise of Generative AI platforms, machine learning models, and autonomous algorithmic systems disrupts foundational legal principles including authorship, inventiveness, originality, and infringement. This paper examines the multidisciplinary intersection of law, computer science, and social sciences regarding IPR. It deconstructs three critical dilemmas: (1) the legal status of AI-generated works and the "human author" requirement under copyright law; (2) the patentability of AI-invented subject matter and the doctrine of the "Person Having Ordinary Skill in the Art" (PHOSITA); and (3) the socio-economic implications of training data scraping, digital commons, and data sovereignty. By analyzing statutory provisions, recent judicial precedents across jurisdictions, and socio-legal frameworks, this study highlights the inadequacy of existing legal doctrines to address non-human innovation. The paper proposes a balanced normative framework incorporating a sui generis legal model for AI outputs, compulsory licensing for dataset training, and transparent algorithmic disclosure to foster technological innovation while protecting human creators and public domain integrity.

Reconfiguration of Artistic Experience through Generative AI: Focusing on Soundscape Creation

본 연구는 생성형 AI

Artificial Intelligence and Cyber Law in India: Recalibrating Legal Responsibility in The Age of Generative AI

Abstract This paper examines the challenges posed by Generative Artificial Intelligence (AI) to cyber law and legal responsibility in India. It argues that the rapid generation and dissemination of synthetic text, images, audio and video complicate traditional approaches to responsibility, particularly where developers, deployers, users and intermediaries exercise different degrees of control over AI-related risks. The study analyses the interaction of the Information Technology Act, 2000, the Information Technology (Intermediary Guidelines and Digital Media Ethics Code) Rules, 2021, and the Digital Personal Data Protection Act, 2023, while considering data governance, intermediary liability, AI-generated digital evidence, cybersecurity, transparency and professional responsibility. It proposes a risk-sensitive, lifecycle-based framework in which legal duties correspond to the degree of control, foreseeable harm and institutional responsibility. Particular emphasis is placed on human oversight in AI-assisted adjudication, verification of AI-generated legal material, provenance of synthetic content, privacy and security by design, effective remedies, and institutional documentation through AI-use registers for high-impact applications. The paper concludes that India should promote responsible AI adoption through a human-centred cyber-law framework that balances technological innovation with privacy, authenticity, security and the integrity of legal institutions.

Generative AI Adoption for Image and Video Creation by Creators and Small Businesses in Emerging Markets: An Evidence Map and Early Platform Usage Study

Creators, freelancers, and small businesses in emerging markets are among the earliest and most intensive users of generative image and video tools, yet the academic evidence on their adoption remains fragmented across disciplines. This article contributes a two-part evidence base. The first part is a verified corpus of 850 unique academic works on generative AI adoption, assembled through 190 audited queries across OpenAlex, Crossref, and arXiv; every record is deduplicated, 838 carry a resolvable DOI, and 762 are confirmed by two or more independent bibliographic sources. Coverage analysis of the corpus quantifies a specific gap: only nine works simultaneously address emerging markets, image or video generation, and creator or small-business populations, and the intersection of video generation with small and medium-sized enterprises remains empty. The second part supplies behavioral evidence from a 45-day production window of Geramaker, a Brazilian pay-per-use platform for AI image, video, narration, and music generation, covering 2,605 accounts, 7,005 model calls, and 62 paid transactions. Adoption proves near-instant under free entry (median of one minute from signup to first output), purchase decisions compress to minutes on local instant-payment rails, and image-to-video animation of existing photographs dominates video demand. Retention, rather than activation, emerges as the binding constraint: 96% of users generate on a single calendar day. The article maps the observed drivers and inhibitors onto established adoption constructs and derives a research agenda for the under-studied intersection the corpus reveals.

Evaluating Technology Acceptance of Vernacular AI Interfaces: An Empirical Study Among Multilingual Engineering Students in Kasaragod

Generative Artificial Intelligence (AI) tools have become embedded in the everyday academic practice of undergraduate engineering students, yet most large language models remain optimised for standard English rather than the code-mixed, multilingual registers through which students in linguistically plural regions actually think and communicate. This study examines technology acceptance of vernacular and code-mixed AI interaction among 84 undergraduate engineering students enrolled in APJ Abdul Kalam Technological University (KTU)-affiliated institutions in Kasaragod district, Kerala, a region historically described as Saptha Bhasha Sangama Bhoomi, the confluence land of seven languages. Using a structured questionnaire grounded in the Technology Acceptance Model (Davis, 1989), the study measured Perceived Usefulness (PU), Perceived Ease of Use (PEOU), Output Accuracy, and Linguistic Inclusion across five research hypotheses. Findings indicate that students from regional-medium secondary schooling backgrounds report significantly higher vernacular or code-mixed AI prompting than English-medium peers, chi-square(3, N = 84) = 22.91, p < .001. Perceived Usefulness correlates strongly with Perceived Ease of Use, r = .64, p < .001. Students who habitually use vernacular or code-mixed prompts report significantly higher ease of use than strictly English prompters, t(82) = 2.01, p = .048. Perceived terminological distortion is positively associated with reported reliance on AI-translated academic content, r = .27, p = .012, and native speakers of the unscripted Tulu dialect report markedly higher AI comprehension failure than speakers of scripted regional languages, t(79) = 11.60, p < .001. The results support all five hypotheses and highlight a persistent linguistic-inclusion gap in generative AI systems used within multilingual engineering classrooms. Implications for dialect-aware AI design and inclusive digital pedagogy in polyglot regions such as Kasaragod are discussed.

Large Language Models in the Acute Stroke Pathway: A Scoping Review of Applications, Evidence Maturity, and Implementation Readiness

Background. Large language models (LLMs) have been rapidly adopted in medicine since late 2022, yet their role in the time-critical acute stroke pathway—from symptom recognition and prehospital triage to emergency diagnosis, imaging-related text tasks, reperfusion decision support, and acute-phase documentation and communication—has not been systematically mapped. Existing reviews cover the whole stroke-care continuum or mix LLMs with traditional NLP, leaving the acute phase under-characterized. Objective. To map the applications, evidence maturity, and implementation readiness of LLMs across the acute stroke pathway. Methods. This scoping review follows the PRISMA-ScR guideline. We search PubMed/MEDLINE, Europe PMC (including preprints), and Google Scholar for studies published from November 2022 onward. Eligible studies center on LLMs/generative AI applied to any stage of the acute stroke pathway. Two reviewers independently screen records and chart data using a piloted form. Evidence is synthesized along two dimensions: five pathway stages (prehospital recognition/dispatch; emergency triage and differential diagnosis; imaging-related text tasks; reperfusion decision support; acute documentation and communication) and three evidence-maturity tiers (simulation/benchmark; retrospective real-world data; prospective deployment). Implementation barriers (hallucination, bias, privacy, regulation, liability, integration, cost) are thematically summarized. Registration note. This review is registered on OSF; the full protocol is available in the attached files.

The Borrowed Name: Counterfeit Sanctity, Artificial Intelligence, and the Architecture of the Final Deception

This research paper advances a novel constructive theological argument regarding the intersection of biblical eschatology and generative artificial intelligence (AI). Moving beyond traditional inquiries into the identity or chronology of the Antichrist, the author investigates the mechanism of deception described in New Testament corpora (Matthew 7, 2 Thessalonians 2, 2 Corinthians 11, and Revelation 13). Core ThesisThe paper identifies "Counterfeit Sanctity"—the weaponized mimesis of sacred language and divine invocation—as the central structural weapon of the eschatological deceiver. It argues that the final deception functions not through overt blasphemy or opposition to God, but through the sophisticated capture and impersonation of the Holy Spirit’s linguistic and phenomenological register. Technological SynthesisThe author identifies Large Language Models (LLMs) and generative heuristics as the first historical apparatus capable of realizing this mechanism at civilizational scale. By decoupling religiously fluent, spiritually authoritative speech from ontological character and pneumatic presence, generative AI allows for the manufacturing of "ownerless" sanctity. Key Contributions Exegetical Analysis: A synthesis of the "Lord, Lord" rejection in Matthew 7 with the "lying signs" of 2 Thessalonians 2. Patristic Grounding: Confirmation of the mimesis-of-the-sacred theory in the works of Irenaeus, Cyril of Jerusalem, and John Chrysostom. AI Epistemology: A structural comparison between the "disguise of light" (2 Cor. 11:14) and the output mechanics of generative systems. Practical Theology: A proposed "Pneumatological Epistemology" for the digital age, focusing on communal discernment (diakrisis), relational accountability, and the "Fruit Test" (Galatians 5).