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arXiv preprints from January 1, 2026 through September 27, 2026 — 12:42:04 EST

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Posted in cs.CR · 2026-01-16 · Sirui Shen, Zunchen Huang, Chenglu Jin

Proving Circuit Functional Equivalence in Zero Knowledge

The modern integrated circuit ecosystem is increasingly reliant on third-party intellectual property integration, which introduces security risks, including hardware Trojans and security vulnerabilities. Addressing the resulting trust deadlock between IP vendors and system integrators without exposing proprietary designs requires...

💬 0 commentsarXiv:2601.11173v2PDF
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Posted in math.NA · 2026-01-16 · Niklas Kolbe, Siegfried Müller, Aleksey Sikstel

Discontinuous Galerkin schemes for multi-dimensional coupled hyperbolic systems

A novel class of Runge-Kutta discontinuous Galerkin schemes for coupled systems of conservation laws in multiple space dimensions that are separated by a fixed sharp interface is introduced. The schemes are derived from a relaxation approach and a local projection and do not require expensive solutions of nonlinear half-Riemann...

💬 0 commentsarXiv:2601.11172v1PDF
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Posted in cs.HC · 2026-01-16 · Jules Wulms, Wouter Meulemans, Bettina Speckmann

Noisy Graph Patterns via Ordered Matrices

The high-level structure of a graph is a crucial ingredient for the analysis and visualization of relational data. However, discovering the salient graph patterns that form this structure is notoriously difficult for two reasons. (1) Finding important patterns, such as cliques and bicliques, is computationally hard. (2) Real-world...

💬 0 commentsarXiv:2601.11171v2PDF
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Posted in cs.CL · 2026-01-16 · Taja Kuzman Pungeršek, Peter Rupnik, Vít Suchomel, Nikola Ljubešić

The Growing Gains and Pains of Iterative Web Corpora Crawling: Insights from South Slavic CLASSLA-web 2.0 Corpora

Crawling national top-level domains has proven to be highly effective for collecting texts in less-resourced languages. This approach has been recently used for South Slavic languages and resulted in the largest general corpora for this language group: the CLASSLA-web 1.0 corpora. Building on this success, we established a continuous...

💬 0 commentsarXiv:2601.11170v2PDF
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Posted in cs.CY · 2026-01-16 · Francesco Semeraro, Filip Bečanović, Maja Trumić, Kosta Jovanović, Angelo Cangelosi

How Do Technological Prototypes in the Food Industry Impact People's Perception? Insights from the MUSAE "GROW, COOK, CODE" Final Exhibition

This work reports the results of the survey carried out during the MUSAE final exhibition to assess its impact on people's perception of aspects like trust in technology, environmental challenges, eating habits and potential increase of mental and physical health while interacting with the technological prototypes exposed during the...

💬 0 commentsarXiv:2601.11169v1PDF
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Posted in math.RA · 2026-01-16 · Askar Dzhumadil'daev, Nurlan Ismailov

Null Lagrangians in free Novikov algebras

We study the symmetrization of the Novikov product. Using the embedding of a free Novikov algebra into a differential algebra over a field of characteristic zero and the Euler operators (variational derivatives), we show that the space of null Lagrangians coincides with the subspace of elements closed under the symmetrized product...

💬 0 commentsarXiv:2601.11168v1PDF
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Posted in cond-mat.mtrl-sci · 2026-01-16 · Yang Li, Chengzhi Wu, Xuelian Sun, Liangting Ye, Yirui Lu, Hai-Qing Lin, Wenhui Duan, Bing Huang

Two-dimensional Intrinsic Janus Structures: Design Principle and Anomalous Nonlinear Optics

Two-dimensional Janus structures have garnered rapidly growing attention across multidisciplinary fields. However, despite extensive theoretical and experimental efforts, a principle for designing intrinsic Janus materials remains elusive. Here, we propose a first-principles alloy theory based on cluster expansion, incorporating a...

💬 0 commentsarXiv:2601.11167v1PDF
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Posted in physics.optics · 2026-01-16 · Artem Shitikov, Tatiana Tebeneva, Oleg Benderov, Dmitry Mylnikov, Valery Lobanov, Dmitry Chermoshentsev, Igor Bilenko

Optical losses in pure crystalline silicon in the IR band measured using WGM microresonators

The need for semiconductor technology for crystalline silicon of the highest purity and homogeneity has provided samples exhibiting low optical absorption in the infrared range. Such silicon has become the basis for photonic elements in the telecommunication band, including high-Q microresonators, which are particularly important....

💬 0 commentsarXiv:2601.11166v1PDF
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Posted in math.FA · 2026-01-16 · T. Miura, T. Takahashi

Ring isomorphisms in norm between Banach algebras of continuous complex-valued functions

Let $X$ and $Y$ be compact Hausdorff spaces, and let $C(X)$ and $C(Y)$ denote the commutative Banach algebras of all continuous complex-valued functions on $X$ and $Y$, respectively. We study bijective maps $T$ from $C(X)$ onto $C(Y)$ which preserve the ring structure in the norm in the following sense: \[...

💬 0 commentsarXiv:2601.11165v1PDF
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Posted in cs.CV · 2026-01-16 · Ruibang Li, Guan Luo, Yiwei Zhang, Jin Gao, Bing Li, Weiming Hu

SoLA-Vision: Fine-grained Layer-wise Linear Softmax Hybrid Attention

Standard softmax self-attention excels in vision tasks but incurs quadratic complexity O(N^2), limiting high-resolution deployment. Linear attention reduces the cost to O(N), yet its compressed state representations can impair modeling capacity and accuracy. We present an analytical study that contrasts linear and softmax attention...

💬 0 commentsarXiv:2601.11164v1PDF
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Posted in eess.AS · 2026-01-16 · Zhuoyue Gao, Xiaohui Wang, Xiaocui Yang, Wen Zhang, Daling Wang, Shi Feng, Yifei Zhang

ES4R: Speech Encoding Based on Prepositive Affective Modeling for Empathetic Response Generation

Empathetic speech dialogue requires not only understanding linguistic content but also perceiving rich paralinguistic information such as prosody, tone, and emotional intensity for affective understandings. Existing speech-to-speech large language models either rely on ASR transcription or use encoders to extract latent...

💬 0 commentsarXiv:2601.16225v1PDF
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Posted in cs.LG · 2026-01-16 · P. Sánchez, K. Reyes, B. Radu, E. Fernández

LSTM VS. Feed-Forward Autoencoders for Unsupervised Fault Detection in Hydraulic Pumps

Unplanned failures in industrial hydraulic pumps can halt production and incur substantial costs. We explore two unsupervised autoencoder (AE) schemes for early fault detection: a feed-forward model that analyses individual sensor snapshots and a Long Short-Term Memory (LSTM) model that captures short temporal windows. Both networks...

💬 0 commentsarXiv:2601.11163v1PDF
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Posted in math.PR · 2026-01-16 · Laurent Decreusefond, Antonin Jacquet

Rate of convergence of the conditioned random walk towards the Brownian bridge

We study the rate of convergence of two discrete processes towards the Brownian bridge: the random walk conditioned to be zero at time 2n and the empirical process which appears in the Glivencko-Cantelli theorem. Combining a functional Stein method with a Radon-Nikodym representation of the bridge, we bound the Fortet-Mourier distance...

💬 0 commentsarXiv:2601.11162v1PDF
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Posted in cs.LG · 2026-01-16 · Pascal Schlachter, Bin Yang

GMM-COMET: Continual Source-Free Universal Domain Adaptation via a Mean Teacher and Gaussian Mixture Model-Based Pseudo-Labeling

Unsupervised domain adaptation tackles the problem that domain shifts between training and test data impair the performance of neural networks in many real-world applications. Thereby, in realistic scenarios, the source data may no longer be available during adaptation, and the label space of the target domain may differ from the...

💬 0 commentsarXiv:2601.11161v1PDF
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Posted in cs.LG · 2026-01-16 · Claudia Plant, Lena G. M. Bauer, Christian Böhm

Clustering High-dimensional Data: Balancing Abstraction and Representation Tutorial at AAAI 2026

How to find a natural grouping of a large real data set? Clustering requires a balance between abstraction and representation. To identify clusters, we need to abstract from superfluous details of individual objects. But we also need a rich representation that emphasizes the key features shared by groups of objects that distinguish...

💬 0 commentsarXiv:2601.11160v1PDF
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Posted in cs.LG · 2026-01-16 · Yichun Yang, Longlong Lin, Rong-Hua Li, Meihao Liao, Guoren Wang

Theoretically and Practically Efficient Resistance Distance Computation on Large Graphs

The computation of resistance distance is pivotal in a wide range of graph analysis applications, including graph clustering, link prediction, and graph neural networks. Despite its foundational importance, efficient algorithms for computing resistance distances on large graphs are still lacking. Existing state-of-the-art (SOTA)...

💬 0 commentsarXiv:2601.11159v1PDF
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Posted in cs.DM · 2026-01-16 · Indrajit Paul, Ashok Kumar Das

Vertex ordering characterizations of interval r-graphs

An r-partite graph is an interval r-graph if corresponding to each vertex we can assign an interval of the real line such that two vertices u and v of different partite sets are adjacent if and only if their corresponding intervals intersect. In this paper, we provide two vertex-ordering characterizations of interval r-graphs and...

💬 0 commentsarXiv:2601.11158v2PDF
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Posted in math.NA · 2026-01-16 · Zeyu Dong, Aqin Xiao, Guojian Yin, Junfeng Yin

Adaptive Randomized Extended Bregman-Kaczmarz Method for Combined Optimization Problems

Combined optimization problems that couple data-fidelity and regularization terms arise naturally in a wide range of inverse problems. In this paper, we study an adaptive randomized averaging block extended Bregman-Kaczmarz (aRABEBK) method for solving such problems. The proposed method incorporates iteration-wise relaxation...

💬 0 commentsarXiv:2601.11157v1PDF
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Posted in q-bio.NC · 2026-01-16 · Francesco Chiappone, Davide Marocco, Nicola Milano

Large Language Models as Simulative Agents for Neurodivergent Adult Psychometric Profiles

Adult neurodivergence, including Attention-Deficit/Hyperactivity Disorder (ADHD), high-functioning Autism Spectrum Disorder (ASD), and Cognitive Disengagement Syndrome (CDS), is marked by substantial symptom overlap that limits the discriminant sensitivity of standard psychometric instruments. While recent work suggests that Large...

💬 0 commentsarXiv:2601.15319v1PDF
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Posted in cs.DC · 2026-01-16 · Niklas Kowallik, Trever Schirmer, David Bermbach

Konflux: Optimized Function Fusion for Serverless Applications

Function-as-a-Service (FaaS) has become a central paradigm in serverless cloud computing, yet optimizing FaaS deployments remains challenging. Using function fusion, multiple functions can be combined into a single deployment unit, which can be used to reduce cost and latency of complex serverless applications comprising multiple...

💬 0 commentsarXiv:2601.11156v1PDF
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Posted in math.AP · 2026-01-16 · Harald Garcke, Kei Fong Lam, Robert Nürnberg, Andrea Signori

On a Mullins-Sekerka model for the growth of active droplets modelling protocells: Stability analysis and numerical computations

Mullins-Sekerka models with chemical reactions can lead to scenarios where droplets grow, become unstable, split, grow and undergo further division. These grow and division cycles have been proposed as a model for protocells and are believed to play a fundamental role in living systems by providing chemical compartments which are...

💬 0 commentsarXiv:2601.11155v1PDF
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Posted in cs.LG · 2026-01-16 · P. Sánchez, K. Reyes, B. Radu, E. Fernández

Assesing the Viability of Unsupervised Learning with Autoencoders for Predictive Maintenance in Helicopter Engines

Unplanned engine failures in helicopters can lead to severe operational disruptions, safety hazards, and costly repairs. To mitigate these risks, this study compares two predictive maintenance strategies for helicopter engines: a supervised classification pipeline and an unsupervised anomaly detection approach based on autoencoders...

💬 0 commentsarXiv:2601.11154v1PDF
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Posted in cs.GT · 2026-01-16 · Naoyuki Kamiyama

Non-uniformly Stable Common Independent Sets

In this paper, we consider a matroid generalization of the stable matching problem. In particular, we consider the setting where preferences may contain ties. For this generalization, we propose a polynomial-time algorithm for the problem of checking the existence of a common independent set satisfying non-uniform stability, which is...

💬 0 commentsarXiv:2601.11153v1PDF
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Posted in math.NA · 2026-01-16 · Yujun Zhu, Min Li, Yulan Ning, Ju Ming

An efficient solver based on low-rank approximation and Neumann matrix series for unsteady diffusion-type partial differential equations with random coefficients

In this paper, we develop an efficient numerical solver for unsteady diffusion-type partial differential equations with random coefficients. A major computational challenge in such problems lies in repeatedly handling large-scale linear systems arising from spatial and temporal discretizations under uncertainty. To address this issue,...

💬 0 commentsarXiv:2601.11152v1PDF
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Posted in cs.IR · 2026-01-16 · Ji Dai, Quan Fang, Jun Hu, Desheng Cai, Yang Yang, Can Zhao

Cross-Modal Attention Network with Dual Graph Learning in Multimodal Recommendation

Multimedia recommendation systems leverage user-item interactions and multimodal information to capture user preferences, enabling more accurate and personalized recommendations. Despite notable advancements, existing approaches still face two critical limitations: first, shallow modality fusion often relies on simple concatenation,...

💬 0 commentsarXiv:2601.11151v1PDF