Research in learning, language, and computation

Kaons

Papers and figures across reasoning, operator learning, scientific machine learning, connectomics, and evaluation.

kaons.comApril 2026contact@kaons.org

Abstract

Kaons is a research archive for work on language-model reliability, operator learning theory, scientific machine learning, connectomics, and evaluation. It emphasizes papers, figures, and technical results over commentary.

Pioneer / Innovations

A few of the sharper claims and results that distinguish the current work.

current highlights

SemEval 2026

2nd place finalist in political evasion detection

AsymVerify ranked second on Task 6 with an asymmetric confidence-gated verification pipeline.

85% Macro F1

Operator Learning

First four-term finite-sample OOD transfer bound for FNOs

The FNO paper separates complexity, discretization, distribution shift, and mesh aliasing in one transfer result.

Four-term OOD decomposition

Reasoning Reliability

Residual drift, not contradiction, dominates multi-turn failure

The reasoning paper shows that after repair, most remaining errors come from satisfiable drift rather than outright inconsistency.

68–95% satisfiable drift

Connectomics

Species-scale comparative signatures from interpretable neuron features

The connectomics work recovers cross-species structure while exposing reconstruction artifacts introduced by missing-data handling.

176,914 neurons · 5 species

Selected work

A compact front-page survey. The full archive, paper pages, and figures live under the research section.

[open archive]
  1. [01]

    ICLR 2026 Workshop on Reasoning and Planning for LLMs

    Drift Dominates Contradiction in Multi-Turn Constraint Reasoning

    Shows that after solver-guided repair, the dominant failure mode is not contradiction but answers that violate a still-satisfiable maintained state.

    816 problems · 4 open-weight models · 68–95% of residual errors are satisfiable drift

  2. [02]

    MathAI 2026

    Four-Term Finite-Sample OOD Transfer Bound for Fourier Neural Operators

    Derives a finite-sample transfer bound for nonlinear Fourier Neural Operators that separates complexity, discretization, distribution shift, and mesh aliasing.

    Four channels · Darcy, Helmholtz, and Burgers diagnostics · aliasing made explicit

  3. [03]

    IEEE ICBCB 2026

    Scalable Comparative Connectomics: Interpretable Machine Learning Reveals Evolutionary Signatures and Reconstruction Artifacts

    Uses minimal neuron-level features to recover species-level signatures while showing how missing-data handling can create reconstruction artifacts.

    176,914 neurons · 5 species · 92.2% Random Forest accuracy

  4. [04]

    SemEval 2026 Task 6

    SemEval highlight

    AsymVerify at SemEval-2026 Task 6: Asymmetric Confidence-Gated Verification for Political Evasion Detection

    A confidence-gated verification pipeline for political evasion detection where opposing verification passes both route corrections through the Ambivalent class.

    SemEval 2026

    2ndplace

    Task 6 result

    85% Macro F1 · rank 2 · +5.2 to +21.7 over zero-shot