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🔍 bayes theorem 📂 Computer Science
Showing 12029 results for "bayes theorem" in Computer Science
Computer Science Preprint PDF DOI

Enhancing multimodal affect recognition in healthcare: the robustness of appraisal dimensions over labels within age groups and in cross-age generalisation

Hippolyte Fournier, Sina Alisamir, Safaa Azzakhnini, Isabella Zsoldos, Eleonore Tran, Gerard Bailly, Frederic Elisei, Beatrice Bouchot, Brice Varini, Patrick Constant, Joan Fruitet, Franck Tarpin-Bernard, Solange Rossato, Francois Portet, Olivier Koenig, Hanna Chainay, Fabien Ringeval · 2026

The integration of artificial intelligence (AI) into healthcare has advanced significantly, yet affect recognition remains a major challenge, particularly in AI-assisted interventions such as Computer…

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Computer Science Preprint PDF DOI

Maximally Diverse Stable Matchings: Optimizing Arbitrary Institutional Objectives

Gergely Csaji, Zhaohong Sun · 2026

Stable matching theory is the foundation of centralized clearinghouses worldwide, from school choice programs to medical residency allocations. However, incorporating complex distributional goals-such…

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Computer Science Preprint PDF DOI

A Generalisation of Goursat's Algorithm for Integration in Finite Terms

Sam Blake · 2026

We give a self-contained, modern exposition of \'Edouard Goursat's 1887 theorem on pseudo-elliptic integrals -- those integrals of the form $\int F(t)\,\d t/\sqrt{R(t)}$ with $R$ a cubic or quartic po…

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Computer Science Preprint PDF DOI

Toward a Characterization of Simulation Between Arithmetic Theories

Hunter Monroe · 2026

We study when a sound arithmetic theory $\mathcal S{\supseteq}S^1_2$ with polynomial-time decidable axioms efficiently proves the bounded consistency statements $Con_{\mathcal S{+}\phi}(n)$ for a true…

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Computer Science Preprint PDF DOI

Solving Hypergraph Laplacian Systems in Almost-Linear Time

Yuichi Yoshida · 2026

For a connected weighted hypergraph, we give a randomized almost-linear-time solver for the Poisson problem for the cut-based hypergraph Laplacian in the natural input size $P=\sum_{e\in E}|e|$, the s…

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Computer Science Preprint PDF DOI

GenAI in Software Engineering: The Role of Technology Acceptance Models

Oscar Johansson, Jurgen Borstler, Nauman bin Ali · 2026

Context: Many organizations are keen to incorporate generative~AI (GenAI) into their software development processes. Technology acceptance models, such as the Unified Theory of Acceptance and Use of T…

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Computer Science Preprint PDF DOI

Fisher Markets with Approximately Optimal Bundles and the Need for a PCP Theorem for PPAD

Argyrios Deligkas, John Fearnley, Alexandros Hollender, Themistoklis Melissourgos · 2026

We study the problem of computing a competitive equilibrium with approximately optimal bundles in Fisher markets with separable piecewise-linear concave (SPLC) utility functions, meaning that every bu…

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Computer Science Preprint PDF DOI

Theory Under Construction: Orchestrating Language Models for Research Software Where the Specification Evolves

Halley Young, Nikolaj Bjorner · 2026

Large language models can now generate substantial code and draft research text, but research-software projects require more than either artifact alone. The mathematical thesis, executable system, ben…

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Computer Science Preprint PDF DOI

Exact Dynamic Programming for Solow--Polasky Diversity Subset Selection on Lines and Staircases

Michael T.M. Emmerich · 2026

We study exact fixed-cardinality Solow--Polasky diversity subset selection on ordered finite $\ell_1$ sets, with monotone biobjective Pareto fronts and their higher-dimensional staircase analogues as …

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A proof of Jordan curve theorem based on the sweepline algorithm for trapezoidal decomposition of a polygon

Apurva Mudgal · 2026

We prove the Jordan curve theorem by generalizing the sweepline algorithm for trapezoidal decomposition of a polygon. Our proof uses Zorn's lemma (or, equivalently the axiom of choice). Though several…

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Computer Science Preprint PDF DOI

Small Independent Sets versus Small Separator in Geometric Intersection Graphs

Malory Marin, Remi Watrigant · 2026

While most classical NP-hard graph problems cannot be solved in time $2^{o(n)}$ on general graphs under the Exponential Time Hypothesis (ETH), many exhibit the square-root phenomenon and admit optimal…

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Computer Science Preprint PDF DOI

Beyond Accuracy: LLM Variability in Evidence Screening for Software Engineering SLRs

Gilberto Sussumu Hida, Danilo Monteiro Ribeiro, Erika Yahata · 2026

Context: Study screening in systematic literature reviews is costly, inconsistency-prone, and risk-asymmetric, since false negatives can compromise validity. Despite rapid uptake of Large Language Mod…

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Computer Science Preprint PDF DOI

Flashback: A Reversible Bilateral Run-Peeling Decomposition of Strings

Thomas Konstantinovsky, Gur Yaari · 2026

We introduce Flashback, a reversible string decomposition that repeatedly peels the maximal leading and trailing character runs from a sentinel-wrapped input, recording each pair as one bilateral toke…

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Computer Science Preprint PDF DOI

Prime-Field PINI: Machine-Checked Composition Theorems for Post-Quantum NTT Masking

Ray Iskander, Khaled Kirah · 2026

This is Paper 6 of a series of formally-verified analyses of masked NTT hardware for post-quantum cryptography; Paper 1 [1] established structural dependency analysis of the QANARY platform, and Paper…

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Computer Science Preprint PDF DOI

Proof Identity and Categorical Models of BV

Matteo Acclavio, Lutz Stra{ss}burger, Vladimir Zamdzhiev · 2026

BV-categories are a recent development that aims to give categorical semantics to proofs in the logic BV. However, due to the absence of a coherence theorem on one side and a well-defined notion of pr…

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Computer Science Preprint PDF DOI

Central Limit Theorem for Mutation Systems

Liav Koram, Ohad Elishco · 2026

DNA-based storage has emerged as a promising alternative to traditional data storage methods, offering unmatched advantages in data density, longevity, and sustainability. Two main approaches have dev…

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Computer Science Preprint PDF DOI

Praxy Voice: Voice-Prompt Recovery + BUPS for Commercial-Class Indic TTS from a Frozen Non-Indic Base at Zero Commercial-Training-Data Cost

Venkata Pushpak Teja Menta · 2026

Commercial TTS systems produce near-native Indic audio, but the best open-source bases (Chatterbox, Indic Parler-TTS, IndicF5) trail them on measured phonological dimensions, and the most widely adopt…

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Computer Science Preprint PDF DOI

Does This Even Matter in the Real World? Real World Problems in Foundational Theory Courses

Anna Kuznetsova · 2026

Discrete mathematics and probability theory contain foundational material for computer scientists. Despite their importance, instructors often worry that students will find these courses to be too abs…

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Safety Drift After Fine-Tuning: Evidence from High-Stakes Domains

Emaan Bilal Khan, Amy Winecoff, Miranda Bogen, Dylan Hadfield-Menell · 2026

Foundation models are routinely fine-tuned for use in particular domains, yet safety assessments are typically conducted only on base models, implicitly assuming that safety properties persist through…

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Computer Science Preprint PDF DOI

FGDM: Reasoning Aware Multi-Agentic Framework for Software Bug Detection using Chain of Thought and Tree of Thought Prompting

Srita Padmanabhuni, Bhargavi Karuturi, Jerusha Karen Indupalli, Santhan Reddy Chilla, Vivek Yelleti · 2026

Deep Learning methods are becoming prominent in automated software bug detection; however, they lack the global understanding of the given code. Consequently, their performance tends to degrade, espec…

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