Publications (176)
A multiplication formula for module subcategories of Ext-symmetry
Jie Xiao, Fan Xu
We define evaluation forms associated to objects in a module subcategory of Ext-symmetry generated by finitely many simple modules over a path algebra with relations and prove a mu…
Content Caching and Delivery in Wireless Radio Access Networks
Meixia Tao, Deniz Gündüz, Fan Xu +1
Today's mobile data traffic is dominated by content-oriented traffic. Caching popular contents at the network edge can alleviate network congestion and reduce content delivery late…
The Soft X-ray Aspect of Gamma-ray Bursts in the Einstein Probe Era
Hao-Xuan Gao, Jin-Jun Geng, Yi-Fang Liang +6
The Einstein Probe (EP) satellite, dedicated at time-domain high-energy astrophysics and multi-messenger astronomy, was recently launched and successfully put into operation. The w…
Signatures of unconventional superconductivity near reentrant and fractional quantum anomalous Hall insulators
Fan Xu, Zheng Sun, Jiayi Li +18
Two-dimensional moiré Chern bands provide an exceptional platform for exploring a variety of many-body quantum phases at zero magnetic field within a lattice system. One particula…
Hall algebras associated to triangulated categories
Jie Xiao, Fan Xu
By counting with triangles and the octohedral axiom, we find a direct way to prove the formula of Toën in \cite{Toen2005} for a triangulated category with (left) homological-finit…
Reversible optical isolators and quasi-circulators using a magneto-optical Fabry-Pérot cavity
Tiantian Zhang, Wenpeng Zhou, Zhixiang Li +7
Nonreciprocal optical devices are essential for laser protection, modern optical communication and quantum information processing by enforcing one-way light propagation. The conven…
C-FAITH: A Chinese Fine-Grained Benchmark for Automated Hallucination Evaluation
Xu Zhang, Zhifei Liu, Jiahao Wang +4
Despite the rapid advancement of large language models, they remain highly susceptible to generating hallucinations, which significantly hinders their widespread application. Hallu…
Direct numerical simulation of Taylor-Couette flow with vertical asymmetric rough walls
Fan Xu, Jinghong Su, Bin Lan +4
Direct numerical simulations are performed to explore the effects of rotating direction of the vertical asymmetric rough wall on the transport properties of Taylor-Couette (TC) flo…
Prospects for Time-Domain and Multi-Messenger Science with eXTP
Shu-Xu Yi, Wen Zhao, Ren-Xin Xu +75
In this new era of time-domain and multi-messenger astronomy, various new transients and new phenomena are constantly being discovered thanks to the rapid advances in observations,…
Information Gain-based Rollout Policy Optimization: An Adaptive Tree-Structured Rollout Approach for Multi-Turn LLM Agents
Yijun Zhang, Fan Xu, Jiaxin Ding +6
Reinforcement learning has become a promising paradigm for improving large language model (LLM) agents on long-horizon search tasks, where the agent must make a sequence of interme…
Evidence of competing ground states between fractional Chern insulator and antiferromagnetism in moiré MoTe2
Xumin Chang, Feng Liu, Fan Xu +18
Two-dimensional moire materials present unprecedented opportunities to explore quantum phases of matter arising from the interplay of band topology and strong correlations.One of t…
Effects of rough walls on sheared annular centrifugal Rayleigh-Bénard convection
Fan Xu, Jun Zhong, Jinghong Su +4
In this study, we investigate the coupling effects of roughness and wall shear in an annular centrifugal Rayleigh-Bénard convection (ACRBC) system, where two cylinders rotate with…
A chemotaxis-fluid model driven by Lévy noise in
Fan Xu, Lei Zhang, Bin Liu
In this paper, we investigate the existence and uniqueness of global solutions to the Cauchy problem for a coupled stochastic chemotaxis-Navier-Stokes system with multiplicative LÃ…
The multiplication theorem and bases in finite and affine quantum cluster algebras
Ming Ding, Fan Xu
We prove a multiplication theorem for quantum cluster algebras of acyclic quivers. The theorem generalizes the multiplication formula for quantum cluster variables in \cite{fanqin}…
Diverse Morphologies of GRB X-Ray Plateaus within a Common Magnetar Framework
Xiao-Fei Dong, Yong-Feng Huang, Nurimangul Nurmamat +7
The origin of the X-ray plateau phase in gamma-ray bursts (GRBs) remains an open problem. In particular, it is unclear whether GRBs with different temporal morphologies (i.e., with…
A Search for Low-frequency Radio Pulses from Long Gamma-ray Bursts with the Murchison Widefield Array
Fan Xu, G. E. Anderson, Jun Tian +10
It has been proposed that coherent radio emission could be emitted during or shortly following a gamma-ray burst (GRB). Here we present a low-frequency ( MHz) search for r…
Numerical study on the mechanism of drag modulation by dispersed drops in two-phase Taylor-Couette turbulence
Jinghong Su, Lei Yi, Bidan Zhao +4
The presence of a dispersed phase can significantly modulate the drag in turbulent systems. We derived a conserved quantity that characterizes the radial transport of azimuthal mom…
Direct reduction of iron-ore with hydrogen in fluidized beds: A coarse-grained CFD-DEM-IBM study
Bin Lan, Ji Xu, Shuai Lu +6
Hydrogen metallurgy technology uses hydrogen as the reducing agent instead of carbon reduction, which is one of the important ways to reduce carbon dioxide emissions and ensure the…
PSP: Million-level Protein Sequence Dataset for Protein Structure Prediction
Sirui Liu, Jun Zhang, Haotian Chu +16
Proteins are essential component of human life and their structures are important for function and mechanism analysis. Recent work has shown the potential of AI-driven methods for…
Pattern Transitions in a Soft Cylindrical Shell
Yifan Yang, Hui-Hui Dai, Fan Xu +1
Instability patterns of rolling up a sleeve appear more intricate than the ones of walking over a rug on floor, both characterized as uniaxially compressed soft-film/stiff-substrat…
Generalized quantum cluster algebras: the Laurent phenomenon and upper bounds
Liqian Bai, Xueqing Chen, Ming Ding +1
Generalized quantum cluster algebras introduced in [1] are quantum deformation of generalized cluster algebras of geometric types. In this paper, we prove that the Laurent phenomen…
Derived Categories and Lie Algebras
Jie Xiao, Fan Xu, Guanglian Zhang
Let $\md^b(A)$ be the derived category of a finite dimensional basic algebra with finite global dimension. We construct the Lie algebra arising from the 2-periodic version $\mk…
Hall algebras associated to triangulated categories, II: almost associativity
Fan Xu
By using the approach in \cite{XX2006} to Hall algebras arising in homologically finite triangulated categories, we find an `almost' associative multiplication structure for indeco…
Advanced Long-term Earth System Forecasting
Hao Wu, Yuan Gao, Ruijian Gou +30
Reliable long-term forecasting of Earth system dynamics is fundamentally limited by instabilities in current artificial intelligence (AI) models during extended autoregressive simu…
X-ray Plateaus in Gamma-Ray Burst Afterglows and Their Application in Cosmology
Fan Xu, Chen-Han Tang, Jin-Jun Geng +4
For gamma-ray bursts (GRBs) with a plateau phase in the X-ray afterglow, a so called correlation has been found which tightly connects the isotropic energy of the prompt GR…
The Multiplication Formulas of Weighted Quantum Cluster Functions
Zhimin Chen, Jie Xiao, Fan Xu
By applying the property of Ext-symmetry and the affine space structure of certain fibers, we introduce the notion of weighted quantum cluster functions and prove their multiplicat…
Periodic repeating fast radio bursts: interaction between a magnetized neutron star and its planet in an eccentric orbit
Abdusattar Kurban, Yong-Feng Huang, Jin-Jun Geng +6
Fast radio bursts (FRBs) are mysterious transient phenomena. The study of repeating FRBs may provide useful information about their nature due to their redetectability. The two mos…
ZhuLong: Execution-Grounded LLM Agent for EDA Scripting with Offline API Self-Exploration
Yang Liu, Shiwei Hou, Xiyuan Chen +13
EDA scripting with tool-specific, often undocumented APIs remains a long-tail bottleneck that existing LLMs fail to address. This paper presents ZhuLong, an execution-grounded LLM…
Breaking the Discretization Barrier of Continuous Physics Simulation Learning
Fan Xu, Hao Wu, Nan Wang +4
The modeling of complicated time-evolving physical dynamics from partial observations is a long-standing challenge. Particularly, observations can be sparsely distributed in a seem…
An Integral Field Spectroscopy Study Of Thin And Thick Discs In IC 2531
Fan Xu, K. C. Freeman, Henry Zovaro
Thin and thick discs are prominent components in the Milky Way and other spiral galaxies, but their formation histories are not yet understood, which is particularly true for thick…
FMGNN: Fused Manifold Graph Neural Network
Cheng Deng, Fan Xu, Jiaxing Ding +3
Graph representation learning has been widely studied and demonstrated effectiveness in various graph tasks. Most existing works embed graph data in the Euclidean space, while rece…
Integral bases of cluster algebras and representations of tame quivers
Ming Ding, Jie Xiao, Fan Xu
In \cite{CK2005} and \cite{SZ}, the authors constructed the bases of cluster algebras of finite types and of type , respectively. In this paper, we will deduce…
How interfacial tension enhances drag in turbulent Taylor-Couette flow with neutrally buoyant and equally viscous droplets
Jinghong Su, Yi-bao Zhang, Cheng Wang +5
The presence of dispersed-phase droplets can result in a notable increase in the system's drag. However, our understanding of the mechanism underlying this phenomenon remains limit…
Low-resource Language Discrimination Towards Chinese Dialects with Transfer learning and Data Augmentation
Fan Xu, Yangjie Dan, Keyu Yan +2
Chinese dialects discrimination is a challenging natural language processing task due to scarce annotation resource. In this article, we develop a novel Chinese dialects discrimina…
Joint Location Sensing and Channel Estimation for IRS-Aided mmWave ISAC Systems
Zijian Chen, Ming-Min Zhao, Min Li +3
In this paper, we investigate a self-sensing intelligent reflecting surface (IRS) aided millimeter wave (mmWave) integrated sensing and communication (ISAC) system. Unlike the conv…
Turb-L1: Achieving Long-term Turbulence Tracing By Tackling Spectral Bias
Hao Wu, Yuan Gao, Chang Liu +11
Accurately predicting the long-term evolution of turbulence is crucial for advancing scientific understanding and optimizing engineering applications. However, existing deep learni…
HAD: HAllucination Detection Language Models Based on a Comprehensive Hallucination Taxonomy
Fan Xu, Xinyu Hu, Zhenghan Yu +6
The increasing reliance on natural language generation (NLG) models, particularly large language models, has raised concerns about the reliability and accuracy of their outputs. A…
A -basis for the cluster algebra associated to an affine quiver
Ming Ding, Jie Xiao, Fan Xu
The canonical bases of cluster algebras of finite types and rank 2 are given explicitly in \cite{CK2005} and \cite{SZ} respectively. In this paper, we will deduce -base…
Explicit cluster multiplication formulas for the quantum cluster algebra of type
Danting Yang, Xueqing Chen, Ming Ding +1
Let be an affine quiver of type . We explicitly construct the cluster multiplication formulas for the quantum cluster algebra of with principal coefficients. As…
GRB Timing: Decoding the Hidden Slow Jets in GRB 060729
Jin-Jun Geng, Ding-Fang Hu, Hao-Xuan Gao +16
Gamma-ray bursts (GRBs) are luminous stellar explosions characterized by the ejection of relativistic jets. This work proposes a novel paradigm to study these GRB jets. By analyzin…
RL-GSBridge: 3D Gaussian Splatting Based Real2Sim2Real Method for Robotic Manipulation Learning
Yuxuan Wu, Lei Pan, Wenhua Wu +4
Sim-to-Real refers to the process of transferring policies learned in simulation to the real world, which is crucial for achieving practical robotics applications. However, recent…
MMA-ASIA: A Multilingual and Multimodal Alignment Framework for Culturally-Grounded Evaluation
Weihua Zheng, Zhengyuan Liu, Tanmoy Chakraborty +32
Large language models (LLMs) are now used worldwide, yet their multimodal understanding and reasoning often degrade outside Western, high-resource settings. We propose MMA-ASIA, a…
Enveloping algebras via motivic Hall algebras
Xinyi Feng, Fan Xu
We give a geometric realization of the whole universal enveloping algebra of the Borcherds-Bozec algebra using quiver with loops via the motivic semi-derived Hall algebra approach.…
Emergence of a symmetry-broken Chern insulator near a moiré Kondo breakdown
Wanghao Tian, Bowen Shen, Lizhong Li +14
Moiré semiconductors built on angle-aligned transition metal dichalcogenide (TMD) heterobilayers provide a physical realization of the Kondo lattice model, in which one TMD layer…
NeuralOGCM: Differentiable Ocean Modeling with Learnable Physics
Hao Wu, Yuan Gao, Fan Xu +4
High-precision scientific simulation faces a long-standing trade-off between computational efficiency and physical fidelity. To address this challenge, we propose NeuralOGCM, an oc…
Quantum Chip Paradigm Framework
Cai, Ling Qiao, Bin Yang +7
Quantum Electronic Design Automation (Q-EDA) is emerging as quantum chips move from laboratory prototypes to scalable engineering systems. This paper argues that superconducting qu…
Realizing Enveloping Algebras via Varieties of Modules
Ming Ding, Jie Xiao, Fan Xu
By using the Ringel-Hall algebra approach, we investigate the structure of the Lie algebra generated by indecomposable constructible sets in the varieties of modules for an…
Density-dependent spin susceptibility and effective mass in monolayer MoSe2
Chang Liu, Tongtong Jia, Zheng Sun +8
Atomically thin MoSe2 is a promising platform for investigating quantum phenomena due to its large effective mass, high crystal quality, and strong spin-orbit coupling. In this wor…
On the Learning with Augmented Class via Forests
Fan Xu, Wuyang Chen, Wei Gao
Decision trees and forests have achieved successes in various real applications, most working with all testing classes known in training data. In this work, we focus on learning wi…
A fast powerful X-ray transient from possible tidal disruption of a white dwarf
Dongyue Li, Wenda Zhang, Jun Yang +97
Stars captured by black holes (BHs) can be torn apart by strong tidal forces, producing electromagnetic flares. To date, more than 100 tidal disruption events (TDEs) have been obse…
Drinfeld doubles via derived Hall algebras and Bridgeland Hall algebras
Fan Xu, Haicheng Zhang
Let $\A$ be a finitary hereditary abelian category. We give a Hall algebra presentation of Kashaev's theorem on the relation between Drinfeld double and Heisenberg double. As appli…
BSODiag: A Global Diagnosis Framework for Batch Servers Outage in Large-scale Cloud Infrastructure Systems
Tao Duan, Runqing Chen, Pinghui Wang +5
Cloud infrastructure is the collective term for all physical devices within cloud systems. Failures within the cloud infrastructure system can severely compromise the stability and…
On the acyclic quantum cluster algebras with principal coefficients
Junyuan Huang, Xueqing Chen, Ming Ding +1
In this paper, we focus on a new lower bound quantum cluster algebra which is generated by the initial quantum cluster variables and the quantum projective cluster variables of an…
Global strong solution for the stochastic tamed Chemotaxis-Navier-Stokes system in
Fan Xu, Lei Zhang, Bin Liu
In this work, we consider the 3D Cauchy problem for a coupled system arising in biomathematics, consisting of a chemotaxis model with a cubic logistic source and the stochastic tam…
Twist-angle evolution from valley-polarized fractional topological phases to valley-degenerate superconductivity in twisted bilayer MoTe2
Zheng Sun, Fan Xu, Jiayi Li +16
Moiré superlattices formed by semiconducting transition metal dichalcogenides (TMDs) provide a highly tunable platform for investigating strongly correlated and topological quantu…
Speech-Driven End-to-End Language Discrimination towards Chinese Dialects
Fan Xu, Jian Luo, MingWen Wang +1
Language discrimination among similar languages, varieties, and dialects is a challenging natural language processing task. The traditional text-driven focus leads to poor results.…
Bounded Deep Unfolding for Joint Beamforming and Scheduling in Multi-Cell MIMO Networks
Jiansheng Li, Shuqi Chai, Fan Xu +4
This paper investigates the joint resource block group (RBG) scheduling and beamforming optimization problem for weighted sum-rate (WSR) maximization in multi-cell multiuser multip…
AbLWR:A Context-Aware Listwise Ranking Framework for Antibody-Antigen Binding Affinity Prediction via Positive-Unlabeled Learning
Fan Xu, Zhi-an Huang, Haohuai He +5
Accurate prediction of antibody-antigen binding affinity is fundamental to therapeutic design, yet remains constrained by severe label sparsity and the complexity of antigenic vari…
Advanced Global Wildfire Activity Modeling with Hierarchical Graph ODE
Fan Xu, Wei Gong, Hao Wu +6
Wildfires, as an integral component of the Earth system, are governed by a complex interplay of atmospheric, oceanic, and terrestrial processes spanning a vast range of spatiotempo…
Fundamental Storage-Latency Tradeoff in Cache-Aided MIMO Interference Networks
Youlong Cao, Meixia Tao, Fan Xu +1
Caching is an effective technique to improve user perceived experience for content delivery in wireless networks. Wireless caching differs from traditional web caching in that it c…
The Observed Luminosity Correlations of Gamma-Ray Bursts and Their Applications
Chen Deng, Yong-Feng Huang, Fan Xu +1
Gamma-ray bursts (GRBs) are among the most luminous electromagnetic transients in the universe, providing unique insights into extreme astrophysical processes and serving as promis…
On the Generalized Cluster Algebras of Geometric Type
Liqian Bai, Xueqing Chen, Ming Ding +1
We develop and prove the analogs of some results shown in [Berenstein A., Fomin S., Zelevinsky A., Duke Math. J. 126 (2005), 1-52] concerning lower and upper bounds of cluster alge…
BeamVQ: Beam Search with Vector Quantization to Mitigate Data Scarcity in Physical Spatiotemporal Forecasting
Weiyan Wang, Xingjian Shi, Ruiqi Shu +10
In practice, physical spatiotemporal forecasting can suffer from data scarcity, because collecting large-scale data is non-trivial, especially for extreme events. Hence, we propose…
Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients
Ming Ding, Fan Xu, Xueqing Chen
We use the quantum version of Chebyshev polynomials to explicitly construct the recursive formulas for the Kronecker quantum cluster algebra with principal coefficients. As a bypro…
Tunable superconductivity in electron- and hole-doped Bernal bilayer graphene
Chushan Li, Fan Xu, Bohao Li +11
Graphene-based, high quality two-dimensional electronic systems have emerged as a highly tunable platform for studying superconductivity. Specifically, superconductivity has been o…
Differential-Integral Neural Operator for Long-Term Turbulence Forecasting
Hao Wu, Yuan Gao, Fan Xu +5
Accurately forecasting the long-term evolution of turbulence represents a grand challenge in scientific computing and is crucial for applications ranging from climate modeling to a…
Few-shot Message-Enhanced Contrastive Learning for Graph Anomaly Detection
Fan Xu, Nan Wang, Xuezhi Wen +3
Graph anomaly detection plays a crucial role in identifying exceptional instances in graph data that deviate significantly from the majority. It has gained substantial attention in…
Fundamental Tradeoff between Storage and Latency in Cache-Aided Wireless Interference Networks
Fan Xu, Meixia Tao, Kangqi Liu
This paper studies the fundamental tradeoff between storage and latency in a general wireless interference network with caches equipped at all transmitters and receivers. The trade…
Gamma-Ray Bursts: Evidence for a Common Origin of X-ray Plateaus with Diverse Temporal Decay Index
Xiao-Fei Dong, Yong-Feng Huang, Chen Deng +8
A significant fraction of gamma-ray bursts (GRBs) exhibit a plateau in the early X-ray afterglow light curve, whose mechanism remains uncertain. While the post-plateau normal decay…
Stability Conditions and Harder-Narasimhan Filtrations for Triangulated Categories
Wenyu Gao, Fan Xu
In this paper, we investigate the relationships between Harder-Narasimhan filtrations and derived Hall algebras. We extend several results from abelian categories to triangulated c…
Is the Birth of PSR J0538+2817 Accompanied by a Gamma-ray Burst?
Fan Xu, Jin-Jun Geng, Xu Wang +2
Recently, the Five-hundred-meter Aperture Spherical radio Telescope (FAST) measured the three-dimensional velocity of PSR J0538+2817 in its associated supernova remnant S147 and fo…
Quantum cluster variables via canonical submodules
Fan Xu, Yutong Yu
We study quantum cluster algebras from marked surfaces without punctures. We express the quantum cluster variables in terms of the canonical submodules. As a byproduct, we obtain t…
Digital Twin Channel-Enabled Online Resource Allocation for 6G: Principle, Architecture and Application
Tongjie Li, Jianhua Zhang, Li Yu +4
Emerging applications such as holographic communication, autonomous driving, and the industrial Internet of Things impose stringent requirements on flexible, low-latency, and relia…
Well-posedness and large deviations of Lévy-driven Marcus stochastic Landau-Lifshitz-Baryakhtar equation
Fan Xu, Bin Liu, Lei Zhang
This paper considers the stochastic Landau-Lifshitz-Baryakhtar (SLLBar) equation with pure jump noise in Marcus canonical form, which describes the dynamics of magnetic spin field…
A three-dimensional force estimation method for the cable-driven soft robot based on monocular images
Xiaohan Zhu, Ran Bu, Zhen Li +2
Soft manipulators are known for their superiority in coping with high-safety-demanding interaction tasks, e.g., robot-assisted surgeries, elderly caring, etc. Yet the challenges re…
OMNIFLOW: A Physics-Grounded Multimodal Agent for Generalized Scientific Reasoning
Hao Wu, Yongheng Zhang, Yuan Gao +7
Large Language Models (LLMs) have demonstrated exceptional logical reasoning capabilities but frequently struggle with the continuous spatiotemporal dynamics governed by Partial Di…
Derived category and Lie algebras
Jie Xiao, Fan Xu, Guanglian Zhang
This paper has been withdrawn by the author(s), due the final version in math.QA/0604564
A generalized quantum cluster algebra of Kronecker type
Liqian Bai, Xueqing Chen, Ming Ding +1
The cluster multiplication formulas for a generalized quantum cluster algebra of Kronecker type are explicitly given. Furthermore, a positive bar-invariant $\mathbb{Z}[q^{\pm\frac{…
Bases of the quantum cluster algebra of the Kronecker quiver
Ming Ding, Fan Xu
We construct bar-invariant bases of the quantum cluster algebra of the Kronecker quiver which are quantum analogues of the canonical basis, semicanonical…
Global well-posedness for the Landau-Lifshitz-Baryakhtar equation in
Fan Xu, Bin Liu
This paper establishes the global well-posedness of the Landau-Lifshitz-Baryakhtar (LLBar) equation in the whole space . The study first demonstrates the existence an…
An analytic derivation of the empirical correlations of gamma-ray bursts
Fan Xu, Yong-Feng Huang, Jin-Jun Geng +3
Empirical correlations between various key parameters have been extensively explored ever since the discovery of gamma-ray bursts (GRBs) and have been widely used as standard candl…
Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
Fan Xu, Zheng Sun, Tongtong Jia +13
The interplay between strong correlations and topology can lead to the emergence of intriguing quantum states of matter. One well-known example is the fractional quantum Hall effec…
Cluster multiplication theorem in the quantum cluster algebra of type
Liqian Bai, Xueqing Chen, Ming Ding +1
The objective of the present paper is to prove cluster multiplication theorem in the quantum cluster algebra of type . As corollaries, we obtain bar-invariant $\mathbb…
Atomic basis of quantum cluster algebra of type
Ming Ding, Fan Xu, Xueqing Chen
Let be the affine quiver of type and be the quantum cluster algebra associated to the valued quiver . We prove…
Green formula in Hall algebras and cluster algebras
Jie Xiao, Fan Xu
The objective of the present paper is to give a survey of recent progress on applications of the approaches of Ringel-Hall type algebras to quantum groups and cluster algebras via…
Green's formula with $\bbc^{*}$-action and Caldero-Keller's formula for cluster algebras
Jie Xiao, Fan Xu
It is known that Green's formula over finite fields gives rise to the comultiplications of Ringel-Hall algebras and quantum groups (see\cite{Green}, also see \cite{Lusztig}). In th…
Agents' Last Exam
Yiyou Sun, Xinyang Han, Weichen Zhang +306
Recent AI systems have achieved strong results on a wide range of benchmarks, yet these gains have not translated into economically meaningful deployment across many professional d…
Baseband-Efficient WMMSE Precoding: From a Signal Weighting Cost Perspective
Shuai Gao, Fan Xu, Mian Li +4
For downlink transmission in massive multi-user multiple-input multiple-output (MU-MIMO) systems, conventional precoding research heavily focuses on reducing the computational comp…
Hall algebras for odd periodic triangulated categories
Fan Xu, Xueqing Chen
We define the Hall algebra associated to any triangulated category under some finiteness conditions with the -periodic translation functor for odd This generalizes th…
Spatio-Temporal Fluid Dynamics Modeling via Physical-Awareness and Parameter Diffusion Guidance
Hao Wu, Fan Xu, Yifan Duan +6
This paper proposes a two-stage framework named ST-PAD for spatio-temporal fluid dynamics modeling in the field of earth sciences, aiming to achieve high-precision simulation and p…
On positivity for generalized cluster variables of affine quivers
Xueqing Chen, Ming Ding, Fan Xu
It has been proved in \cite{LS} that cluster variables in cluster algebras of every skew-symmetric cluster algebra are positive. We prove that any regular generalized cluster varia…
OneForecast: A Universal Framework for Global and Regional Weather Forecasting
Yuan Gao, Hao Wu, Ruiqi Shu +11
Accurate weather forecasts are important for disaster prevention, agricultural planning, etc. Traditional numerical weather prediction (NWP) methods offer physically interpretable…
Exploring Global and Local Information for Anomaly Detection with Normal Samples
Fan Xu, Nan Wang, Xibin Zhao
Anomaly detection aims to detect data that do not conform to regular patterns, and such data is also called outliers. The anomalies to be detected are often tiny in proportion, con…
A Unified Cognitive Learning Framework for Adapting to Dynamic Environment and Tasks
Qihui Wu, Tianchen Ruan, Fuhui Zhou +5
Many machine learning frameworks have been proposed and used in wireless communications for realizing diverse goals. However, their incapability of adapting to the dynamic wireless…
Cooperative Tx/Rx Caching in Interference Channels: A Storage-Latency Tradeoff Study
Fan Xu, Kangqi Liu, Meixia Tao
This paper studies the storage-latency tradeoff in the wireless interference network with caches equipped at all transmitters and receivers. The tradeoff is characterize…
PCL-Reasoner-V1.5: Advancing Math Reasoning with Offline Reinforcement Learning
Yao Lu, Dengdong Fan, Jianzheng Nie +4
We present PCL-Reasoner-V1.5, a 32-billion-parameter large language model (LLM) for mathematical reasoning. The model is built upon Qwen2.5-32B and refined via supervised fine-tuni…
Decoding FRB energetics and frequency features hidden by observational incompleteness
Chen-Ran Hu, Yong-Feng Huang, Jin-Jun Geng +9
Fast radio bursts (FRBs) are millisecond-duration radio flashes of extragalactic origin, with magnetars implicated as viable central engines. Yet their triggering and radiation mec…
New global Carleman estimates and null controllability for forward/backward semi-linear parabolic SPDEs
Lei Zhang, Fan Xu, Bin Liu
In this paper, we study the null controllability for parabolic SPDEs involving both the state and the gradient of the state. To start with, an improved global Carleman estimate for…
Is Your Model Thinking or Just Stagnating? PUMA: Diagnosing Reasoning Pathology via Phase-Momentum Alignment
Cheng Yan, Guangyang Ye, Wuyang Zhang +4
Test-time scaling empowers Large Reasoning Models (LRMs) to tackle complex tasks via extensive Chain-of-Thought (CoT). However, this often induces the "overthinking" paradox, where…
Fundamental relations in quantum cluster algebras
Junyuan Huang, Xueqing Chen, Ming Ding +1
Let be an arbitrary quantum cluster algebra with principal coefficients. We give the fundamental relations between the quantum cluster variables arising from one-…