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arXiv preprints from January 1, 2026 through July 21, 2026 — 03:12:09 EST

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Posted in eess.SY · 2026-01-20 · Yiwei Zhou, Zhongcheng Lei, Xiaoran Dai, Wenshan Hu, Hong Zhou

Research on Adaptive Inertial Control in Synchronization Systems: Based on Variational Optimization Methods and Their Applications in the Stability of Complex Networks

Aiming at the core problem that it is difficult for a fixed inertia coefficient to balance transient disturbance suppression and long-term stability in complex network synchronization systems, an adaptive inertia control strategy based on variational optimization is proposed. Taking the Kuramoto model with inertia as the research...

💬 0 commentsarXiv:2601.13753v2PDF
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Posted in cs.AI · 2026-01-20 · Chak Tou Leong, Dingwei Chen, Heming Xia, Qingyu Yin, Sunbowen Lee, Jian Wang, Wenjie Li

Finding RELIEF: Shaping Reasoning Behavior without Reasoning Supervision via Belief Engineering

Large reasoning models (LRMs) have achieved remarkable success in complex problem-solving, yet they often suffer from computational redundancy or reasoning unfaithfulness. Current methods for shaping LRM behavior typically rely on reinforcement learning or fine-tuning with gold-standard reasoning traces, a paradigm that is both...

💬 0 commentsarXiv:2601.13752v1PDF
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Posted in cs.CV · 2026-01-20 · Daniel Kyselica, Jonáš Herec, Oliver Kutis, Rado Pitoňák

Towards Onboard Continuous Change Detection for Floods

Natural disaster monitoring through continuous satellite observation requires processing multi-temporal data under strict operational constraints. This paper addresses flood detection, a critical application for hazard management, by developing an onboard change detection system that operates within the memory and computational limits...

💬 0 commentsarXiv:2601.13751v3PDF
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Posted in math.AP · 2026-01-20 · Avas Banerjee, Debdip Ganguly, Prasun Roychowdhury

Sharp Quantitative Forms of the Hardy Inequality on Cartan-Hadamard Manifolds via Sobolev-Lorentz Embeddings

In this article, we investigate the quantitative form of the classical Hardy inequality. In our first result, we prove the following quantitative bound under the assumption that the $\mathbb{M}^N$ is a Riemannian model satisfying the centered isoperimetric inequality: We prove that $$ \|\nabla_g u\|^2_{L^{2}(\mathbb{M}^N)} -...

💬 0 commentsarXiv:2601.13750v1PDF
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Posted in cs.CL · 2026-01-20 · Benaya Trabelsi, Jonathan Shaki, Sarit Kraus

Pro-AI Bias in Large Language Models

Large language models (LLMs) are increasingly employed for decision-support across multiple domains. We investigate whether these models display a systematic preferential bias in favor of artificial intelligence (AI) itself. Across three complementary experiments, we find consistent evidence of pro-AI bias. First, we show that LLMs...

💬 0 commentsarXiv:2601.13749v1PDF
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Posted in cs.LG · 2026-01-20 · Tien-Dat Pham, Xuan-The Tran

EEG-Titans: Long-Horizon Seizure Forecasting via Dual-Branch Attention and Neural Memory

Accurate epileptic seizure prediction from electroencephalography (EEG) remains challenging because pre-ictal dynamics may span long time horizons while clinically relevant signatures can be subtle and transient. Many deep learning models face a persistent trade-off between capturing local spatiotemporal patterns and maintaining...

💬 0 commentsarXiv:2601.13748v1PDF
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Posted in math.DG · 2026-01-20 · Chengjian Yao, Ziyi Zhou

Closed $\mathrm{G}_2$-structures with $\mathbb{T}^3$-symmetry and hypersymplectic structures

We decompose linear $\mathrm{G}_2$-structure in canonical ways adapted to 3-dimensional subspaces, in terms of certain natural 1-forms and definite triple of 2-forms, and apply the decompositions to the study of $\mathrm{G}_2$-structure with $\mathbb{T}^3$-symmetry. Closed $\mathrm{G}_2$-structures $\varphi$ with an effective...

💬 0 commentsarXiv:2601.13747v3PDF
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Posted in math-ph · 2026-01-20 · Rayan Oufar, Cristel Chandre

Hamiltonian hydrodynamic reductions of one-dimensional Vlasov equations

We investigate Hamiltonian fluid reductions of the one-dimensional Vlasov-Poisson equation. Our approach utilizes the hydrodynamic Poisson bracket framework, which allows us to systematically identify fundamental normal variables derived from the analysis of the Casimir invariants of the resulting Poisson bracket. This framework is...

💬 0 commentsarXiv:2601.13746v1PDF
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Posted in math.ST · 2026-01-20 · Gérard Biau, Claire Boyer

A Note on k-NN Gating in RAG

We propose a statistical proxy framework for retrieval-augmented generation (RAG) that formalizes how language models balance internal predictions with retrieved evidence. We derive an optimal query-level gate, analyze hallucination via retrieval discordance, model query-memory mismatch, and validate the framework numerically on...

💬 0 commentsarXiv:2601.13744v2PDF
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Posted in cs.NE · 2026-01-20 · Diya Prasanth, Matthew Tivnan

BioNIC: Biologically Inspired Neural Network for Image Classification Using Connectomics Principles

We present BioNIC, a multi-layer feedforward neural network for emotion classification, inspired by detailed synaptic connectivity graphs from the MICrONs dataset. At a structural level, we incorporate architectural constraints derived from a single cortical column of the mouse Primary Visual Cortex(V1): connectivity imposed via...

💬 0 commentsarXiv:2601.20876v1PDF
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Posted in cs.SE · 2026-01-20 · Zhenya Zhang, Parv Kapoor, Jie An, Eunsuk Kang

Counterexample Classification against Signal Temporal Logic Specifications

Signal Temporal Logic (STL) has been widely adopted as a specification language for specifying desirable behaviors of hybrid systems. By monitoring a given STL specification, we can detect the executions that violate it, which are often referred to as counterexamples. In practice, these counterexamples may arise from different causes...

💬 0 commentsarXiv:2601.13743v1PDF
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Posted in cs.CL · 2026-01-20 · Arjun Chandra, Kevin Miller, Venkatesh Ravichandran, Constantinos Papayiannis, Venkatesh Saligrama

Hearing Between the Lines: Unlocking the Reasoning Power of LLMs for Speech Evaluation

Large Language Model (LLM) judges exhibit strong reasoning capabilities but are limited to textual content. This leaves current automatic Speech-to-Speech (S2S) evaluation methods reliant on opaque and expensive Audio Language Models (ALMs). In this work, we propose TRACE (Textual Reasoning over Audio Cues for Evaluation), a novel...

💬 0 commentsarXiv:2601.13742v2PDF
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Posted in math.OA · 2026-01-20 · Omar Mohsen

Abstract maximal hypoellipticity and applications

We prove an abstract theorem of maximal hypoellipticy showing that in an abstract calculus under some natural assumptions, an operator is maximally hypoelliptic if and only if its principal symbol is left invertible. We then show that our theorem implies various known results in the literature like regularity theorem for elliptic...

💬 0 commentsarXiv:2601.13741v1PDF
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Posted in quant-ph · 2026-01-20 · Xiaojie Wang, Lin Zhou, Yue Li, Sakthi Sanjeev Mohanraj, Xiaodong Shi, Zhuoyang Yu, Ran Yang, Xu Chen, Guangxing Wu, Hao Hao, Sihao Wang, Veerendra Dhyani, Di Zhu

On-Chip Generation of Co-Polarized and Spectrally Separable Photon Pairs

On-chip generation of high-purity single photons is essential for scalable photonic quantum technologies. Spontaneous parametric down-conversion (SPDC) is widely used to generate photon pairs for heralded single-photon sources, but intrinsic spectral correlations of the pairs often limit the purity and interference visibility of the...

💬 0 commentsarXiv:2601.13740v1PDF
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Posted in physics.acc-ph · 2026-01-20 · Stephan I. Tzenov

The Hamilton-Jacobi Equation and its Application to Nonlinear Beam Dynamics: Comparison of Approaches

The rarely used Hamilton-Jacobi equation has been utilized as an elegant way to find the trajectories of mechanical systems and to derive symplectic maps. Further, the exact solution in kick approximation of Hamilton's equations of motion in interaction representation is written as a generalized one-turn twist map. One can imagine...

💬 0 commentsarXiv:2601.13739v1PDF
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Posted in math.PR · 2026-01-20 · Maximilian Fels, Oren Louidor, Tianqi Wu

Second Order Asymptotics for the Hard Wall Probability of the 2D Harmonic Crystal

We estimate the probability that the discrete Gaussian free field on a planar domain with Dirichlet boundary conditions stays positive in the bulk. Improving upon the result by Bolthausen, Deuschel and Giacomin from 2001, we derive the order of the subleading term of this probability when a sequence of discretized scale-ups of given...

💬 0 commentsarXiv:2601.13738v1PDF
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Posted in cs.RO · 2026-01-20 · Joon Lee, Jeongyoon Han, Doyoung Kim, Seokhwan Jeong

RIM Hand : A Robotic Hand with an Accurate Carpometacarpal Joint and Nitinol-Supported Skeletal Structure

This paper presents the flexible RIM Hand, a biomimetic robotic hand that precisely replicates the carpometacarpal (CMC) joints and employs superelastic Nitinol wires throughout its skeletal framework. By modeling the full carpal-to-metacarpal anatomy, the design enables realistic palm deformation through tendon-driven fingers while...

💬 0 commentsarXiv:2601.13737v1PDF
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Posted in math-ph · 2026-01-20 · Fabio Bagarello, Yanga Bavuma, Francesco G. Russo

Some Consequences of the Grunewald-O'Halloran Conjecture for Pseudoquonic Operators

Investigating a recent positive solution of a conjecture of Grunewald and O'Halloran for complex finite dimensional nilpotent Lie algebras, we are in the position to find results of existence and uniqueness for the construction of complex nilpotent Lie algebras of arbitrary dimension via pseudobosonic operators. We involve the...

💬 0 commentsarXiv:2601.13736v1PDF
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Posted in cs.AI · 2026-01-20 · Hojin Kim, Jaehyung Kim

Reasoning or Fluency? Dissecting Probabilistic Confidence in Best-of-N Selection

Probabilistic confidence metrics are increasingly adopted as proxies for reasoning quality in Best-of-N selection, under the assumption that higher confidence reflects higher reasoning fidelity. In this work, we challenge this assumption by investigating whether these metrics truly capture inter-step causal dependencies necessary for...

💬 0 commentsarXiv:2601.13735v2PDF
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Posted in cs.CY · 2026-01-20 · Zhou Ziheng, Jiakun Ding, Zhaowei Zhang, Ruosen Gao, Yingnian Wu, Demetri Terzopoulos, Yipeng Kang, Fangwei Zhong, Junqi Wang

Simple Role Assignment is Extraordinarily Effective for Safety Alignment

Principle-based alignment often lacks context sensitivity and completeness. Grounded in Theory of Mind, we propose role conditioning as a compact alternative: social roles (e.g., mother, judge) implicitly encode both values and the cognitive schemas required to apply them. We introduce a training-free pipeline featuring a...

💬 0 commentsarXiv:2602.00061v1PDF
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Posted in cs.CL · 2026-01-20 · Chenyu Hui

Towards robust long-context understanding of large language model via active recap learning

In this paper, we propose active recap learning (ARL), a framework for enhancing large language model (LLM) in understanding long contexts. ARL enables models to revisit and summarize earlier content through targeted sequence construction during contined pretraining and retrospective summarization at inference. First, we identify key...

💬 0 commentsarXiv:2601.13734v1PDF
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Posted in hep-ph · 2026-01-20 · Chisato Uno, Tetsuo Hyodo

Structure of Bound States with Coulomb plus Short-range Interaction

We study the structure of bound states appearing in systems governed by the Coulomb and short-range interactions. We analyze the binding energies and wave functions of the bound states generated by the Coulomb plus short-range potential. We demonstrate that Coulomb-induced shifts of the binding energy are closely correlated with the...

💬 0 commentsarXiv:2601.13733v1PDF
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Posted in cs.RO · 2026-01-20 · Andreas Wiedholz, Rafael Paintner, Julian Gleißner, Alwin Hoffmann, Tobias Huber

SUNSET -- A Sensor-fUsioN based semantic SegmEnTation exemplar for ROS-based self-adaptation

The fact that robots are getting deployed more often in dynamic environments, together with the increasing complexity of their software systems, raises the need for self-adaptive approaches. In these environments robotic software systems increasingly operate amid (1) uncertainties, where symptoms are easy to observe but root causes...

💬 0 commentsarXiv:2601.13732v1PDF
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Posted in cs.SC · 2026-01-20 · Rui-Juan Jing, Yuegang Zhao, Changbo Chen

Breaking the Data Barrier in Learning Symbolic Computation: A Case Study on Variable Ordering Suggestion for Cylindrical Algebraic Decomposition

Symbolic computation, powered by modern computer algebra systems, has important applications in mathematical reasoning through exact deep computations. The efficiency of symbolic computation is largely constrained by such deep computations in high dimension. This creates a fundamental barrier on labelled data acquisition if leveraging...

💬 0 commentsarXiv:2601.13731v1PDF