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arXiv preprints from January 1, 2026 through September 28, 2026 — 06:13:51 EST

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Posted in cs.AI · 2026-01-03 · Ian Rios-Sialer

The Homogenization Problem in LLMs: Towards Meaningful Diversity in AI Safety

Generative AI models reproduce the human biases in their training data and further amplify them through mechanisms such as mode collapse. The loss of diversity produces homogenization, which not only harms the minoritized but impoverishes everyone. We argue homogenization should be a central concern in AI safety. To meaningfully...

💬 0 commentsarXiv:2601.06116v7PDF
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Posted in math.CO · 2026-01-03 · H. Tracy Hall

The Delta Theorem: a dimension bound for faithful orthogonal graph representations

In 1987 Hiroshi Maehara conjectured that a graph can be represented by vectors considered adjacent when not orthogonal (a faithful orthogonal representation) in codimension the minimum degree of the graph. Without settling the conjecture, Làslò Lovàsz, Michael Saks, and Alexander Schrijver (LSS) showed that a codimension of vertex...

💬 0 commentsarXiv:2601.01211v1PDF
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Posted in cs.CV · 2026-01-03 · Kazuhiko Murasaki, Shunsuke Konagai, Masakatsu Aoki, Taiga Yoshida, Ryuichi Tanida

Real-Time LiDAR Point Cloud Densification for Low-Latency Spatial Data Transmission

To realize low-latency spatial transmission system for immersive telepresence, there are two major problems: capturing dynamic 3D scene densely and processing them in real time. LiDAR sensors capture 3D in real time, but produce sparce point clouds. Therefore, this paper presents a high-speed LiDAR point cloud densification method to...

💬 0 commentsarXiv:2601.01210v2PDF
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Posted in cs.DC · 2026-01-03 · Xin Tan, Yicheng Feng, Yu Zhou, Yimin Jiang, Yibo Zhu, Hong Xu

OrchestrRL: Dynamic Compute and Network Orchestration for Disaggregated RL

Disaggregating the generation and training stages in RL is widely adopted to scale LLM post-training. There are two critical challenges here. First, the generation stage often becomes a bottleneck due to dynamic workload shifts and severe execution imbalances. Second, the decoupled stages result in diverse and dynamic network traffic...

💬 0 commentsarXiv:2601.01209v2PDF
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Posted in math.SP · 2026-01-03 · Alexandru Chirvasitu

The combinatorics of permuting and preserving curve-bound spectra

We prove that continuous spectrum- and commutativity-preserving maps to $\mathcal{M}_n(\mathbb{C})$ from the space of normal (real or complex) $n\times n$, $n\ge 3$ matrices with spectra contained in a given continuous-injection interval image $Λ\subseteq \mathbb{C}$ or $\mathbb{R}$ are (a) conjugations; (b) transpose conjugations, or...

💬 0 commentsarXiv:2601.01208v2PDF
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Posted in cs.AI · 2026-01-03 · V. Cheung

Dreaming Is Not a Bug: A Jung-Inspired Dream Layer for Multi-Agent LLM Companions

Inspired by a personal dream about knowledge-sharing barriers in an everyday hardware project, this paper proposes a Jung-inspired "Dream Layer" for LLM companions, reframing controlled offline hallucinations as a resource for learning and relationship-building rather than a mere reliability bug. Drawing on Jung's notion of the...

💬 0 commentsarXiv:2601.06115v1PDF
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Posted in cs.LG · 2026-01-03 · Yoonhyuk Choi, Jiho Choi, Chanran Kim, Yumin Lee, Hawon Shin, Yeowon Jeon, Minjeong Kim, Jiwoo Kang

Sparse Bayesian Message Passing under Structural Uncertainty

Semi-supervised learning on real-world graphs is frequently challenged by heterophily, where the observed graph is unreliable or label-disassortative. Many existing graph neural networks either rely on a fixed adjacency structure or attempt to handle structural noise through regularization. In this work, we explicitly capture...

💬 0 commentsarXiv:2601.01207v1PDF
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Posted in cs.LG · 2026-01-03 · Soroush Elyasi, Arya VarastehNezhad, Fattaneh Taghiyareh

MentalGame: Predicting Personality-Job Fitness for Software Developers Using Multi-Genre Games and Machine Learning Approaches

Personality assessment in career guidance and personnel selection traditionally relies on self-report questionnaires, which are susceptible to response bias, fatigue, and intentional distortion. Game-based assessment offers a promising alternative by capturing implicit behavioral signals during gameplay. This study proposes a...

💬 0 commentsarXiv:2601.01206v1PDF
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Posted in hep-lat · 2026-01-03 · Ziwen Fu, Qu-Zhi Li, Jun Wang

$I=\frac{3}{2}$ $πK$ $s$-wave scattering length from lattice QCD

The $I=\frac{3}{2}$ $πK$ $s$-wave scattering phase shift is computed by lattice quantum chromodynamics with $N_f=3$ flavors of Asqtad-improved staggered fermions. The energy-eigenvalues of $πK$ systems at one center of mass frame and six moving frames using moving wall source technique are used to get phase shifts by Lüscher's formula...

💬 0 commentsarXiv:2601.01205v1PDF
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Posted in cs.CV · 2026-01-03 · Zunhai Su, Weihao Ye, Hansen Feng, Keyu Fan, Jing Zhang, Dahai Yu, Zhengwu Liu, Ngai Wong

XStreamVGGT: Extremely Memory-Efficient Streaming Vision Geometry Grounded Transformer with KV Cache Compression

Learning-based 3D visual geometry models have benefited substantially from large-scale transformers. Among these, StreamVGGT leverages frame-wise causal attention for strong streaming reconstruction, but suffers from unbounded KV cache growth, leading to escalating memory consumption and inference latency as input frames accumulate....

💬 0 commentsarXiv:2601.01204v1PDF
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Posted in math.CA · 2026-01-03 · Seung-Yeon Ryoo

On oscillator death in the Winfree model

We show that for the standard sinusoidal Winfree model, a coupling strength exceeding twice the maximal magnitude of the intrinsic frequencies guarantees the convergence of the system for Lebesgue almost every initial data. This is proven by first showing, via an order parameter bootstrapping argument, that the pathwise critical...

💬 0 commentsarXiv:2601.01203v2PDF
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Posted in cs.LG · 2026-01-03 · Jinwoong Kim, Sangjin Park

GroupSegment-SHAP: Shapley Value Explanations with Group-Segment Players for Multivariate Time Series

Multivariate time-series models achieve strong predictive performance in healthcare, industry, energy, and finance, but how they combine cross-variable interactions with temporal dynamics remains unclear. SHapley Additive exPlanations (SHAP) are widely used for interpretation. However, existing time-series variants typically treat the...

💬 0 commentsarXiv:2601.06114v1PDF
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Posted in cs.CV · 2026-01-03 · Jiazhu Dai, Huihui Jiang

RefSR-Adv: Adversarial Attack on Reference-based Image Super-Resolution Models

Single Image Super-Resolution (SISR) aims to recover high-resolution images from low-resolution inputs. Unlike SISR, Reference-based Super-Resolution (RefSR) leverages an additional high-resolution reference image to facilitate the recovery of high-frequency textures. However, existing research mainly focuses on backdoor attacks...

💬 0 commentsarXiv:2601.01202v1PDF
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Posted in math.FA · 2026-01-03 · Valentin V. Andreev, Miron B. Bekker, Joseph A. Cima

Remark Concerning Cesáro Operator on the Hardy Space $H^p(\mathbb{C}_+)$ in the Upper Half-Plane

We consider Cesáro operator on the Hardy space $H^p(\mathbb{C}_+)$ in the upper half-plane for $1<p<\infty$. In \cite{AS} it was proved that for all $1<p<\infty$ the spectrum of the operator $V=\frac{2(p-1)}{p}C-I$ is located on the unit circle and in \cite{ABC1} the authors of this note showed that for $p=2$ operator $V$ is unitary....

💬 0 commentsarXiv:2601.01201v1PDF
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Posted in cs.CV · 2026-01-03 · Zhang Chen, Shuai Wan, Yuezhe Zhang, Siyu Ren, Fuzheng Yang, Junhui Hou

Objective Quality Assessment of Point Clouds Using Multi-scale Implicit Structural Similarity

The unstructured and irregular nature of points poses a significant challenge for accurate point cloud quality assessment (PCQA), particularly in establishing accurate perceptual feature correspondence. To tackle this, we propose the Multi-scale Implicit Structural Similarity Measurement (MS-ISSM). Unlike traditional point-to-point...

💬 0 commentsarXiv:2601.01200v3PDF
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Posted in cs.SE · 2026-01-03 · Logan Murphy, Aren A. Babikian, Marsha Chechik

Abductive Vibe Coding (Extended Abstract)

When software artifacts are generated by AI models ("vibe coding"), human engineers assume responsibility for validating them. Ideally, this validation would be done through the creation of a formal proof of correctness. However, this is infeasible for many real-world vibe coding scenarios, especially when requirements for the...

💬 0 commentsarXiv:2601.01199v1PDF
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Posted in math.FA · 2026-01-03 · Zhangjian Hu, Xiaofen Lv

Absolutely summing Hankel operators on Fock spaces and the Berger-Coburn phenomenon

In this paper, for $1 \leq p, r < \infty$ we characterize those symbols $f$ so that the induced Hankel operators $H_f$ are $r$-summing from Fock spaces $F^p_α$ to $L^p_α$. The main result shows that the $r$-summing norm of $H_f$ is equivalent to the $\mathrm{IDA}^{κ, p}$-norm of $f$, where $κ$ is a positive number determined by $p$...

💬 0 commentsarXiv:2601.01197v1PDF
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Posted in cs.RO · 2026-01-03 · Shenqi Lu, Liangwei Zhang

EduSim-LLM: An Educational Platform Integrating Large Language Models and Robotic Simulation for Beginners

In recent years, the rapid development of Large Language Models (LLMs) has significantly enhanced natural language understanding and human-computer interaction, creating new opportunities in the field of robotics. However, the integration of natural language understanding into robotic control is an important challenge in the rapid...

💬 0 commentsarXiv:2601.01196v1PDF
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Posted in cs.AI · 2026-01-03 · Wuzhenghong Wen, Chao Xue, Su Pan, Yuwei Sun, Minlong Peng

Reinforcement Learning Enhanced Multi-hop Reasoning for Temporal Knowledge Question Answering

Temporal knowledge graph question answering (TKGQA) involves multi-hop reasoning over temporally constrained entity relationships in the knowledge graph to answer a given question. However, at each hop, large language models (LLMs) retrieve subgraphs with numerous temporally similar and semantically complex relations, increasing the...

💬 0 commentsarXiv:2601.01195v1PDF
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Posted in cs.IT · 2026-01-03 · Ozgur Ercetin, Mohaned Chraiti

On the Structure of the Optimal Detector for Sub-THz Multi-Hop Relays with Unknown Prior: Over-the-Air Diffusion

Amplify and forward (AF) relaying is a viable strategy to extend the coverage of sub-terahertz (sub-THz) links, but inevitably propagates noise, leading to cumulative degradation across multiple hops. At the receiver, optimal decoding is desirable, yet challenging under non-Gaussian input distributions (video, voice, etc), for which...

💬 0 commentsarXiv:2601.01194v1PDF
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Posted in math.CO · 2026-01-03 · S. P. Leka Amruthavarshini, R. Rajkumar

Adjacency-diametrical matrix of a graph

The adjacency-diametrical matrix (AD matrix) of a connected graph $G$ with diameter $d$, denoted by $AD(G)$, is the matrix indexed by the vertices of $G$ in which the $(i,j)$-entry of $AD(G)$ is $1$ if $d_G(v_i,v_j)=1$, is $d$ if $d_G(v_i,v_j)=d$, and $0$ otherwise, where $d_G(v_i,v_j)$ denotes the distance between the vertices $v_i$...

💬 0 commentsarXiv:2601.01193v1PDF
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Posted in cs.CV · 2026-01-03 · Hao Lu, Xuhui Zhu, Wenjing Zhang, Yanan Li, Xiang Bai

Crowded Video Individual Counting Informed by Social Grouping and Spatial-Temporal Displacement Priors

Video Individual Counting (VIC) is a recently introduced task aiming to estimate pedestrian flux from a video. It extends Video Crowd Counting (VCC) beyond the per-frame pedestrian count. In contrast to VCC that learns to count pedestrians across frames, VIC must identify co-existent pedestrians between frames, which turns out to be a...

💬 0 commentsarXiv:2601.01192v1PDF
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Posted in hep-th · 2026-01-03 · Nathan Seiberg, Wucheng Zhang

Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions

We study the symmetries of lattice staggered fermions in 2+1d. Using the symmetries, we can place the system on any sheared torus or Klein bottle. These different backgrounds provide diagnostics of various 't Hooft anomalies associated with the crystalline symmetries. We then compare the lattice model to its continuum limit. The...

💬 0 commentsarXiv:2601.01191v2PDF
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Posted in cs.AI · 2026-01-03 · Nitin Vetcha

Towards Infinite Length Extrapolation: A Unified Approach

Large language models (LLMs) have revolutionized natural language processing, but their ability to process long sequences is fundamentally limited by the context window size during training. Existing length extrapolation methods often suffer from performance degradation or computational inefficiencies. We thereby use a unified...

💬 0 commentsarXiv:2601.06113v1PDF