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AI & Data Science Preprint PDF DOI

Do Sparse Autoencoders Capture Concept Manifolds?

Usha Bhalla, Thomas Fel, Can Rager, Sheridan Feucht, Tal Haklay, Daniel Wurgaft, Siddharth Boppana, Matthew Kowal, Vasudev Shyam, Jack Merullo, Atticus Geiger, Ekdeep Singh Lubana · 2026

Sparse autoencoders (SAEs) are widely used to extract interpretable features from neural network representations, often under the implicit assumption that concepts correspond to independent linear dir…

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AI & Data Science Preprint PDF DOI

Response to: "A note on conditional densities, Bayes' rule, and recent criticisms of Bayesian inference" by Yan et al., 2026

Klaus Mosegaard, Andrew Curtis · 2026

In a recent preprint (Mosegaard and Curtis, 2024, arXiv:2411.13570v2) we analyzed the consequences of ignoring the well-known inconsistency of classical conditional probability densities. We explained…

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Physics Preprint PDF DOI

Second harmonic generation and third harmonic generation in topological insulator-based van der Waals metamaterials

Alessandra Di Gaspare, Sara Ghayeb, Craig Knox, Edmund H. Linfield, Joshua Freeman, Miriam S. Vitiello · 2026

High-order harmonic generation (HHG) in solids - the frequency up-conversion of an optical signal - is governed by symmetries. At terahertz (THz) frequencies, HHG is a key technology to access high fr…

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Physics Preprint PDF DOI

Spin-coherence characterization of boron vacancy defects in hexagonal boron nitride with broadband microwave pulses

Yuki Nakamura, Takuya Iwasaki, Shu Nakaharai, Shinichi Ogawa, Yukinori Morita, Kenji Watanabe, Takashi Taniguchi, Kento Sasaki, Kensuke Kobayashi · 2026

Negatively charged boron vacancy (VB-) defects in hexagonal boron nitride (hBN) are promising for nanoscale-proximity quantum sensing. To evaluate their performance, it is important to characterize th…

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Mathematics Preprint PDF DOI

Gromov-Hausdorff Convergence of Spectral Truncations for Quantum Groups

Xintao Peng, Qin Wang · 2026

We study the quantum Gromov-Hausdorff convergence of spectral truncations for compact quantum groups. Using a proper length function, we define a Dirac operator and the associated spectral truncations…

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Physics Preprint PDF DOI

Measurement of the top quark pair production cross section in PbPb collisions at $\sqrt{s_\mathrm{NN}}$ = 5.36 TeV

CMS Collaboration · 2026

The inclusive cross section for top quark pair ($\mathrm{t\bar{t}}$) production in lead-lead (PbPb) collisions is reported for the first time at a center-of-mass energy per nucleon pair of 5.36 TeV. T…

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Engineering Preprint PDF DOI

High Coupling Tunable Acoustic Resonators in Monolithic Barium Titanate

Ian Anderson, Agham Posadas, Alexander A. Demkov, Ruochen Lu · 2026

The growing number of wireless communication bands has driven demand for compact, low-loss, and frequency adjustable RF filtering. Tunable acoustic resonators are well suited to address these needs, o…

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AI & Data Science Preprint PDF DOI

MoRFI: Monotonic Sparse Autoencoder Feature Identification

Dimitris Dimakopoulos, Shay B. Cohen, Ioannis Konstas · 2026

Large language models (LLMs) acquire most of their factual knowledge during the pre-training stage, through next token prediction. Subsequent stages of post-training often introduce new facts outwith …

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Physics Preprint PDF DOI

Engineering superconductivity on the surface of Weyl semimetals

Riccardo Vocaturo, Mattia Trama · 2026

Ten years after the experimental discovery of Weyl semimetals, theoretical and experimental work has pointed to the possibility of realizing surface-only superconductivity at relatively high temperatu…

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Physics Preprint PDF DOI

Emergent surface resonance from charge density wave symmetry breaking in TiSe2

Turgut Yilmaz, Yi Sheng Ng, Muhammad Awais Fiaz, Anil Rajapitamahuni, Asish K. Kundu, Shawna M. Hollen, Polina M. Sheverdyaeva, Paolo Moras, Ivana Vobornik, Jun Fujii, Shinichiro Ideta, Kenya Shimada, Boris Sinkovic, Elio Vescovo, Hui-Qiong Wang, Jin-Cheng Zheng · 2026

Surface confined electronic states provide a fertile ground for discovering emergent phenomena that have no counterpart in the bulk, offering new routes to manipulate correlations, symmetry breaking, …

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Engineering Preprint PDF DOI

Model-Free Dynamic Mode Adaptive Control for Data-Driven Control Synthesis

Parham Oveissi, Ankit Goel · 2026

This paper presents a model-free, data-driven control synthesis method called dynamic mode adaptive control (DMAC) for systems whose mathematical models are unavailable or unsuitable for classical con…

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Mathematics Preprint PDF DOI

A stellated tetrahedron that is probably not Rupert

Tony Zeng · 2026

A convex polyhedron is Rupert if a hole can be cut into it (making its genus $1$) such that an identical copy of the polyhedron can pass through the hole. Resolving a conjecture of Jerrard-Wetzel-Yuan…

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AI & Data Science Preprint PDF DOI

Sparsity as a Key: Unlocking New Insights from Latent Structures for Out-of-Distribution Detection

Ahyoung Oh, Wonseok Shin, Songkuk Kim · 2026

Sparse Autoencoders (SAEs) have demonstrated significant success in interpreting Large Language Models (LLMs) by decomposing dense representations into sparse, semantic components. However, their pote…

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Physics Preprint PDF DOI

Dispersion Splitting of Phonon Polaritons in van der Waals Heterostructure

Daeho Noh, Jaehyeong Ock, Sergey G. Menabde, Min Seok Jang · 2026

The biaxial van der Waals crystal {\alpha}-phase molybdenum trioxide ({\alpha}-MoO3) supports hyperbolic phonon-polaritons with anomalous dispersion in the Type-I Reststrahlen band (RB-I). Despite the…

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Physics Preprint PDF DOI

The effect of Van der Waals interaction on the microstructure of EPD deposits: a simulation study

Remi Martin, Sandrine Duluard, Celine Merlet · 2026

Electrophoretic deposition is a method of choice for generating coatings thanks to its ease of implementation and its ability to produce coatings of relatively large thicknesses in a single step proce…

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Mathematics Preprint PDF DOI

Uncertainty Principle for distributions with Fourier transform in $L_{p,q}(\mathbb{R}^d)$

Nikita Dobronravov · 2026

A version of the Uncertainty Principle says: There does not exist a non zero function in $L_p(\mathbb{R}^d)$ if its Fourier transform is supported by a set of finite $\alpha$-Hausdorff measure with $\…

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AI & Data Science Preprint PDF DOI

From Syntax to Emotion: A Mechanistic Analysis of Emotion Inference in LLMs

Bangzhao Shu, Arinjay Singh, Mai ElSherief · 2026

Large language models (LLMs) are increasingly used in emotionally sensitive human-AI applications, yet little is known about how emotion recognition is internally represented. In this work, we investi…

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Mathematics Preprint PDF DOI

Uniform homeomorphisms between $C_p^*$-spaces preserve pseudocompactness

Vesko Valov · 2026

For any Tychonoff space $X$ let $C_p(X)$ (resp., $C^*_p(X)$) be the set of all continuous (resp., and bounded) functions on $X$ with the pointwise convergence topology. Given Tychonoff spaces $X$ and …

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Physics Preprint PDF DOI

Measurement of the Z $\to$ $\mu^+\mu^-$ angular coefficients in pp collisions at $\sqrt{s}$ = 13 TeV as functions of transverse momentum and rapidity

CMS Collaboration · 2026

A measurement of the eight angular polarization coefficients, $A_0$ to $A_7$, in the cross section for the Drell$-$Yan production of two muons is presented. The analysis is based on proton-proton (pp)…

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AI & Data Science Preprint PDF DOI

Residual-loss Anomaly Analysis of Physics-Informed Neural Networks: An Inverse Method for Change-point Detection in Nonlinear Dynamical Systems with Regime Switching

Yuhe Bai, Chengli Tan, Jiaqi Li, Xiangjun Wang, Zhikun Zhang · 2026

Nonlinear dynamical systems with regime transitions are typically described by ordinary differential equations with jumping parameters parameters. Traditional methods often treat change-point detectio…

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