Training-language dominance, not English inherent properties, determines brain-LLM alignment across English, Chinese, and French, with additional independent effects from typological distance concentrated in syntactic brain regions.
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Proposes a scale-calibrated median-of-means estimator for robust aggregation of distributed PCA estimates on the product of Euclidean space and Grassmann manifold.
Introduces De Simone laws over Kleisli categories that guarantee compositionality of coalgebraic trace equivalence and recovers the classical De Simone format while adding a probabilistic variant.
Aggregation mechanisms for surjective classifications are nearly dictatorial with high probability unless functions are nearly constant, with a full characterization of always-surjective mechanisms.
Derives covariant quadratic expansion in extrinsic curvature of the nonlocal effective action for a massless scalar field on manifolds with boundary, extending Monge-patch results to general surfaces.
The paper presents randomized tests with explicit query bounds for properties including number of leaves, maximum degree, typical distance, and diameter in tree-structured graphical models.
A solvable hierarchical model with power-law feature strengths yields explicit power-law scaling of prediction error through sequential recovery of latent directions by a layer-wise spectral algorithm.
Bayesian PLSs are special cases of non-stationary affine PIMs which are proven calibrated, and affine tracing automates construction of probabilistic iterative methods from classical code.
Moonflowers are introduced as set families with per-set unique elements, yielding near-optimal extremal bounds that enable logarithmic code sparsification with a matching lower bound.
Projective Kummer-type manifolds with finite-order symplectic birational self-maps acting nontrivially on H² are twisted modular except for Picard rank 3 cases characterized by their NS lattices; specific Mukai vectors are identified for finite-order wall-crossing maps on modular examples.
SGD, approximations of Newton's method, natural gradient descent, and Adam are proven compatible with evolutionary dynamics when augmented with DLS noise, turning them into valid in silico simulations of asexual Darwinian evolution.
Polynomial-time algorithm samples the Sherrington-Kirkpatrick Gibbs measure at beta < 1/2 with o(1) TVD error by combining potential Hessian ascent, stochastic localization, covariance estimates, and Jarzynski equality with rejection sampling.
The profile maximum likelihood estimator for the location in anisotropic hyperbolic wrapped normal models is strongly consistent, asymptotically normal, and attains the Hájek-Le Cam minimax lower bound under squared geodesic loss.
Introduces anytime-valid e-processes for first- and higher-order stochastic dominance that achieve power one and remain valid under continuous monitoring.
In open quantum systems, environmental coupling turns deterministic Krylov phase-space trajectories into stochastic ones by adding diffusion, destroying the hyperbolic mechanism for exponential complexity growth beyond a controlled scale.
Continuous focus groups enable repeated dialogue with autism care professionals across robot therapy phases to integrate evolving clinical insights and serve as an ethical safeguard.
A 2D neural cellular automaton spontaneously self-organizes into a Proto-CKY representation that exhibits syntactic processing capabilities for context-free grammars when trained on membership problems.
A 3D morphoelastic rod model with local Stokes hydrodynamics predicts flutter instability and self-sustained 2D or 3D oscillations in clamped elliptic hydrogel filaments under constant axial electric field, with a secondary bifurcation to large-amplitude motions.
Existence of self-similar finite-mass solutions is proved for the time-fractional porous-medium equation in the optimal range m > (d-2)_+/d for all d ≥ 1, with compact support for m > 1 and heavy tails for m_c < m < 1.
Copula-constructed non-Gaussian likelihoods for weak-lensing correlations match simulations better than Gaussians on large scales, yet produce only negligible shifts in S8 for 10 000 deg² surveys.
Chern-Simons theory on a strip yields boundary current algebras for oppositely propagating chiral bosons whose velocities follow from a bulk-boundary consistency condition and are independent of strip width.
LLMs display a consistent pattern of elevated form-meaning divergence and uniform rhetorical device use in argumentative texts compared to humans, quantified by new metrics FMD, GPR, and RDDE.
OrbEvo uses equivariant graph transformers to learn the time evolution of TDDFT wavefunction coefficients, accurately reproducing wavefunctions, dipole moments, and absorption spectra on QM9 and MD17 molecular datasets.
Causal regularities in special sciences are associated with an entropy that cannot decrease from robust causes to their effects.
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Brain-LLM Alignment Tracks Training Data, Not Typology
Training-language dominance, not English inherent properties, determines brain-LLM alignment across English, Chinese, and French, with additional independent effects from typological distance concentrated in syntactic brain regions.
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Scale-Calibrated Median-of-Means for Robust Distributed Principal Component Analysis
Proposes a scale-calibrated median-of-means estimator for robust aggregation of distributed PCA estimates on the product of Euclidean space and Grassmann manifold.
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Compositionality in Coalgebraic Trace Semantics
Introduces De Simone laws over Kleisli categories that guarantee compositionality of coalgebraic trace equivalence and recovers the classical De Simone format while adding a probabilistic variant.
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Classification aggregation: a quantitative impossibility theorem
Aggregation mechanisms for surjective classifications are nearly dictatorial with high probability unless functions are nearly constant, with a full characterization of always-surjective mechanisms.
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Covariant extrinsic curvature expansion of the nonlocal effective action for a massless scalar field on a manifold with boundary
Derives covariant quadratic expansion in extrinsic curvature of the nonlocal effective action for a massless scalar field on manifolds with boundary, extending Monge-patch results to general surfaces.
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Testing properties of trees in graphical models with covariance queries
The paper presents randomized tests with explicit query bounds for properties including number of leaves, maximum degree, typical distance, and diameter in tree-structured graphical models.
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Scaling Laws from Sequential Feature Recovery: A Solvable Hierarchical Model
A solvable hierarchical model with power-law feature strengths yields explicit power-law scaling of prediction error through sequential recovery of latent directions by a layer-wise spectral algorithm.
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Affine Tracing: A New Paradigm for Probabilistic Linear Solvers
Bayesian PLSs are special cases of non-stationary affine PIMs which are proven calibrated, and affine tracing automates construction of probabilistic iterative methods from classical code.
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Moonflowers and efficient code sparsification
Moonflowers are introduced as set families with per-set unique elements, yielding near-optimal extremal bounds that enable logarithmic code sparsification with a matching lower bound.
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Finite order symplectic birational self-maps on Kummer-type manifolds
Projective Kummer-type manifolds with finite-order symplectic birational self-maps acting nontrivially on H² are twisted modular except for Picard rank 3 cases characterized by their NS lattices; specific Mukai vectors are identified for finite-order wall-crossing maps on modular examples.
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Direct From Darwin: Deriving Advanced Optimizers From Evolutionary First Principles
SGD, approximations of Newton's method, natural gradient descent, and Adam are proven compatible with evolutionary dynamics when augmented with DLS noise, turning them into valid in silico simulations of asexual Darwinian evolution.
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Potential Hessian Ascent III: Sampling the Sherrington--Kirkpatrick Model at Beta < 1/2
Polynomial-time algorithm samples the Sherrington-Kirkpatrick Gibbs measure at beta < 1/2 with o(1) TVD error by combining potential Hessian ascent, stochastic localization, covariance estimates, and Jarzynski equality with rejection sampling.
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Profile Likelihood Inference for Anisotropic Hyperbolic Wrapped Normal Models on Hyperbolic Space
The profile maximum likelihood estimator for the location in anisotropic hyperbolic wrapped normal models is strongly consistent, asymptotically normal, and attains the Hájek-Le Cam minimax lower bound under squared geodesic loss.
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Betting on Bets: Anytime-Valid Tests for Stochastic Dominance
Introduces anytime-valid e-processes for first- and higher-order stochastic dominance that achieve power one and remain valid under continuous monitoring.
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Stochastic Krylov Dynamics: Revisiting Operator Growth in Open Quantum Systems
In open quantum systems, environmental coupling turns deterministic Krylov phase-space trajectories into stochastic ones by adding diffusion, destroying the hyperbolic mechanism for exponential complexity growth beyond a controlled scale.
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Continuous Focus Groups: A Longitudinal Method for Clinical HRI in Autism Care
Continuous focus groups enable repeated dialogue with autism care professionals across robot therapy phases to integrate evolving clinical insights and serve as an ethical safeguard.
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On the Emergence of Syntax by Means of Local Interaction
A 2D neural cellular automaton spontaneously self-organizes into a Proto-CKY representation that exhibits syntactic processing capabilities for context-free grammars when trained on membership problems.
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A three-dimensional morphoelastic model for self-oscillations in polyelectrolyte hydrogel filaments
A 3D morphoelastic rod model with local Stokes hydrodynamics predicts flutter instability and self-sustained 2D or 3D oscillations in clamped elliptic hydrogel filaments under constant axial electric field, with a secondary bifurcation to large-amplitude motions.
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Self-similar solutions to the time-fractional Porous-Medium Equation
Existence of self-similar finite-mass solutions is proved for the time-fractional porous-medium equation in the optimal range m > (d-2)_+/d for all d ≥ 1, with compact support for m > 1 and heavy tails for m_c < m < 1.
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The Non-Gaussian Weak-Lensing Likelihood: A Multivariate Copula Construction and Impact on Cosmological Constraints
Copula-constructed non-Gaussian likelihoods for weak-lensing correlations match simulations better than Gaussians on large scales, yet produce only negligible shifts in S8 for 10 000 deg² surveys.
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Edge modes in Chern-Simons theory on a strip
Chern-Simons theory on a strip yields boundary current algebras for oppositely propagating chiral bosons whose velocities follow from a bulk-boundary consistency condition and are independent of strip width.
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Saying More Than They Know: A Framework for Quantifying Epistemic-Rhetorical Miscalibration in Large Language Models
LLMs display a consistent pattern of elevated form-meaning divergence and uniform rhetorical device use in argumentative texts compared to humans, quantified by new metrics FMD, GPR, and RDDE.
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Orbital Transformers for Predicting Wavefunctions in Time-Dependent Density Functional Theory
OrbEvo uses equivariant graph transformers to learn the time evolution of TDDFT wavefunction coefficients, accurately reproducing wavefunctions, dipole moments, and absorption spectra on QM9 and MD17 molecular datasets.
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The Causal Second Law
Causal regularities in special sciences are associated with an entropy that cannot decrease from robust causes to their effects.
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Additive Control Variates Dominate Self-Normalisation in Off-Policy Evaluation
Optimal additive baseline IPS asymptotically dominates SNIPS in off-policy evaluation mean squared error.
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Hyperbolicity analysis of the linearised 3+1 formulation in the Teleparallel Equivalent of General Relativity
The linearized 3+1 TEGR system has imaginary eigenvalues in its principal symbol but becomes strongly hyperbolic after gauge fixing isolated problematic sectors.
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Condorcet's Paradox as Non-Orientability
Condorcet's paradox corresponds to non-orientability of a surface homeomorphic to the Klein bottle or real projective plane in a generalized topological model of strict ordinal preferences.
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First-principles simulation of spin diffusion in static solids using dynamic mean-field theory
SpinDMFT enables accurate first-principles simulations of spin diffusion in static solids, producing zero-quantum spectra that match experimental data for two test substances.
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Capturing reduced-order quantum many-body dynamics out of equilibrium via neural ordinary differential equations
Neural ODEs reproduce 2RDM dynamics from data only when three-particle cumulant correlations are strong, mapping the validity regime of cumulant expansions.
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Vegetation pattern formation induced by local growth outpacing susceptibility to non-local competition
A novel Turing instability arises in vegetation models when local growth outpaces competitive susceptibility near the uniform equilibrium, producing stable patterns via supercritical bifurcation.
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Arrow's Impossibility Theorem as a Generalisation of Condorcet's Paradox
Arrow's Impossibility Theorem is equivalently stated in terms of contradictory preference cycles, generalized from strict to weak preferences via explicit profile constructions.
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Generalization Bounds for Quantum Learning via R\'enyi Divergences
Derives generalization bounds for quantum learning via quantum and classical Rényi divergences, with a new modified sandwich quantum Rényi divergence shown to outperform the Petz version analytically and numerically.
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A Semi-orthogonal Sequence in the Derived Category of the Hilbert Scheme of Three Points
For smooth projective X of dim d≥5, D^b(X^[3]) admits a semi-orthogonal sequence of length binom(d-3,2) with each term equivalent to D(X) via FM transform from a Grassmannian bundle G over X.
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Cutoff for mixtures of permuted Markov chains: reversible case
Proves cutoff at entropic time log n/h for reversible mixtures of permuted Markov chains under mild assumptions on the base chains.
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Conceptualizing and Defining the Circular Space Economy
Introduces the first structured definition of the circular space economy along with the 10R Space Framework and three operational environments to promote sustainability in space operations.
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Model Collapse as Cultural Evolution
Iterated learning theory predicts and LLM experiments confirm non-monotonic compositionality during self-training, reframing model collapse as cultural transmission with matching human regularization patterns.
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Deconfinement For $\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling
Proves that SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.
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Scale selection for geometric medians on product manifolds
Joint location-scale minimization for geometric medians on product manifolds degenerates to marginal medians, and three new scale-selection methods restore identifiability with asymptotic guarantees.
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Nuclear Spin Isomers and the Pauli Principle in Polaritonic Chemistry
The Pauli principle and nuclear spin isomers of ammonia molecules significantly reshape collective light-matter coupling in infrared cavities, demonstrated via numerical simulations for two molecules and an analytical model for ensembles.
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Structural Quality Gaps in Practitioner AI Governance Prompts: An Empirical Study Using a Five-Principle Evaluation Framework
A new five-principle framework applied to 34 practitioner AI governance prompts finds 37% lack key structural elements such as data classification and rubrics.
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Asymptotically Z-stable bundles over projective surfaces
A new extension-based construction produces strictly asymptotically Z-stable rank 3 bundles on polycyclic projective surfaces, plus a Hoppe-style criterion for rank 2 bundles.
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From Vulnerable Data Subjects to Vulnerabilizing Data Practices: Navigating the Protection Paradox in AI-Based Analyses of Platformized Lives
The authors propose a reflexive ethics protocol for AI analyses of platform data that maps how technical choices at four pipeline stages can enact new vulnerabilities, illustrated by quantifying child presence in monetized family vlogs.
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Beyond the Quantum Regression Theorem in Variational Polaron Master Equations with Low-Dimensional Baths
An extension to the quantum regression theorem is derived via projection operators for variational polaron master equations, enabling accurate multi-time correlation functions in strongly coupled spin-boson models with memory effects.
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Unified Microscopic Theory of Stress Relaxation, Structural Evolution, and Memory Effects in Dense Glass Forming Brownian Suspensions After Flow Cessation
A unified microscopic theory predicts the coupled time evolution of stress relaxation, structural recovery, and memory effects in dense glass-forming Brownian suspensions after flow cessation.
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Accelerating Quantum Tensor Network Simulations with Unified Path Variations and Non-Degenerate Batched Sampling
New techniques for error-independent unified path variation, non-degenerate batched sampling, and flexible contraction accelerate tensor network quantum trajectory simulations by more than 10^8 times.
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Tensor-network simulation of quantum transport in many-quantum-dot systems
A tensor-network solver extended with jump-counting computes electron currents in up to 50 quantum dots, matching traditional solvers for small systems but with orders of magnitude less memory and time.
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Busemann energy-based attention for emotion analysis in Poincar\'e discs
A fully hyperbolic attention model using Busemann energy in Poincaré discs produces emotion predictions from text that generalize well even at low embedding dimensions.
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Analytical model for the photomultiplier single photoelectron response including the electron back-scattering contribution
Derives analytical functions for fully amplified, partially amplified back-scattered, and low-charge signals in photomultiplier single photoelectron responses based on first-dynode gain and subsequent chain resolution.
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Measuring Primitive Accumulation: An Information-Theoretic Approach to Capitalist Enclosure in PIK2, Indonesia
Satellite data projected onto a Marxian simplex shows a 0.405 rad/yr transformation pulse, 38-46 year absorption times into built land, and percolation below random thresholds indicating planned rather than stochastic urban growth in PIK2.
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Thermodynamics Beyond State Functions from Quantum Relaxation
In quantum thermalization with detailed balance, internal energy becomes E(S, dot S), extending thermodynamics to include dynamical rates.