Publications (63)
Uniqueness of Tangent Cone of Kahler Einstein Metrics on Singular Varieties with Crepant Singularities
Xin Fu
Let be a polarized Calabi Yau variety (or canonical polarized variety) with crepant singularity. Suppose (or ) is the unique Ric…
Path homology of digraphs without multisquares and its comparison with homology of spaces
Xin Fu, Sergei O. Ivanov
For a digraph without multisquares and a field , we construct a basis of the vector space of path -chains for , generalising the ba…
Minnaert resonances and higher-order acoustic modes for bubbles in a viscous fluid with surface tension
Habib Ammari, Xin Fu, Wenjia Jing +1
The aim of this paper is to account for viscosity, surface tension, and interactions between micro-bubbles in approximating their resonant behavior in the ultrasonic regime. Origin…
The generalized Kähler Calabi-Yau problem
Vestislav Apostolov, Xin Fu, Jeffrey Streets +1
We formulate an extension of the Calabi conjecture to the setting of generalized Kähler geometry. We show a transgression formula for the Bismut Ricci curvature in this setting, w…
MobiLLM: Enabling LLM Fine-Tuning on the Mobile Device via Server Assisted Side Tuning
Liang Li, Xingke Yang, Wen Wu +5
Large Language Model (LLM) at mobile devices and its potential applications never fail to fascinate. However, on-device LLM fine-tuning poses great challenges due to extremely high…
Kahler-Einstein metric near an isolated log canonical singularity
Ved Datar, Xin Fu, Jian Song
We construct Kahler-Einstein metrics with negative scalar curvature near an isolated log canonical (non-log terminal) singularity. Such metrics are complete near the singularity if…
Parallel convolution processing using an integrated photonic tensor core
Johannes Feldmann, Nathan Youngblood, Maxim Karpov +13
With the proliferation of ultra-high-speed mobile networks and internet-connected devices, along with the rise of artificial intelligence, the world is generating exponentially inc…
Uniform convergence for linear elastostatic systems with periodic high contrast inclusions
Xin Fu, Wenjia Jing
We consider the Lame system of linear elasticity with periodically distributed inclusions whose elastic parameters have high contrast compared to the background media. We develop a…
Wave packets propagation in the subwavelength regime near the Dirac point
Habib Ammari, Xin Fu, Wenjia Jing
In [Ammari et al., SIAM J Math Anal., 52 (2020), pp. 5441--5466], the first author with collaborators proved the existence of Dirac dispersion cones at subwavelength scales in bubb…
Fundamental groups of compact Kahler varieties with nef anti canonical bundle
Xin Fu, Bin Guo, Jian Song +1
It is proved by M. Paun (1997, 2017) that the fundamental group of a compact Kahler manifold X is almost Abelian if the anti-canonical bundle -KX is nef. In this paper, we apply th…
Ultrafast optical circuit switching for data centers using integrated soliton microcombs
Arslan Sajid Raja, Sophie Lange, Maxim Karpov +13
Networks inside current data centers comprise a hierarchy of power-hungry electronic packet switches interconnected via optical fibers and transceivers. As the scaling of such elec…
Generalized Transitional Markov Chain Monte Carlo Sampling Technique for Bayesian Inversion
Han Lu, Mohammad Khalil, Thomas Catanach +5
In the context of Bayesian inversion for scientific and engineering modeling, Markov chain Monte Carlo sampling strategies are the benchmark due to their flexibility and robustness…
No-Reference Quality Assessment of Contrast-Distorted Images using Contrast Enhancement
Jia Yan, Jie Li, Xin Fu
No-reference image quality assessment (NR-IQA) aims to measure the image quality without reference image. However, contrast distortion has been overlooked in the current research o…
The integral cohomology rings of four-dimensional toric orbifolds
Xin Fu, Tseleung So, Jongbaek Song
Let be a 4-dimensional toric orbifold associated to a polygon and a characteristic function . Assuming that is locally smooth over a vertex of , we d…
A continuous cusp closing process for negative Kähler-Einstein metrics
Xin Fu, Hans-Joachim Hein, Xumin Jiang
We give an example of a family of smooth complex algebraic surfaces of degree in developing an isolated elliptic singularity. We show via a gluing construction…
The Kähler-Ricci flow on Fano bundles
Xin Fu, Shijin Zhang
We study the behavior of the Kähler-Ricci flow on some Fano bundle which is a trivial bundle on one Zariski open set. We show that if the fiber is blown up at one…
Homotopy rigidity for quasitoric manifolds over a product of -simplices
Xin Fu, Tseleung So, Jongbaek Song +1
For a fixed integer , we show that two quasitoric manifolds over a product of -simplices are homotopy equivalent after appropriate localization, provided that their int…
The homotopy classification of four-dimensional toric orbifolds
Xin Fu, Tseleung So, Jongbaek Song
Let be a -dimensional toric orbifold. If has a non-trivial odd primary torsion, then we show that is homotopy equivalent to the wedge of a Moore space and a CW-…
Simplicial -complexes and representation stability of polyhedral products
Xin Fu, Jelena GrbiÄ
Representation stability in the sense of Church-Farb is concerned with stable properties of representations of sequences of algebraic structures, in particular of groups. We study…
Image Aesthetics Assessment Using Composite Features from off-the-Shelf Deep Models
Xin Fu, Jia Yan, Cien Fan
Deep convolutional neural networks have recently achieved great success on image aesthetics assessment task. In this paper, we propose an efficient method which takes the global, l…
Geometric estimates for complex Monge-Ampere equations
Xin Fu, Bin Guo, Jian Song
We prove uniform gradient and diameter estimates for a family of geometric complex Monge-Ampere equations. Such estimates can be applied to study geometric regularity of singular s…
Homogenization of eigenvalues for problems with high-contrast inclusions
Xin Fu
We study quantitative homogenization of the eigenvalues for elliptic systems with periodically distributed inclusions, where the conductivity of inclusions are strongly contrast to…
Szczarba's twisted shuffle and equivariant path homology of directed graphs
Xin Fu, Shing-Tung Yau
To a marked simplicial set one can associate its path chain complex, and define its homology to be the homology of this complex, inspired by path homology theories for directed gra…
WHALE-FL: Wireless and Heterogeneity Aware Latency Efficient Federated Learning over Mobile Devices via Adaptive Subnetwork Scheduling
Huai-an Su, Jiaxiang Geng, Liang Li +5
As a popular distributed learning paradigm, federated learning (FL) over mobile devices fosters numerous applications, while their practical deployment is hindered by participating…
Lightweight Chunk Selection for Mobile Retrieval-Augmented Generation
Sicong Chang, Yidan Shen, Wen Yu +3
RAG improves the factual grounding of LLM by incorporating external knowledge, but deploying RAG on mobile and edge devices remains challenging because retrieved context increases…
RCD structures on singular Kahler spaces of complex dimension three
Xin Fu, Bin Guo, Jian Song
Let X be a projective variety of complex dimension 3 with log terminal singularities. We prove that every singular Kahler metric on X with bounded Nash entropy and Ricci curvature…
A Large-Scale Benchmark for Food Image Segmentation
Xiongwei Wu, Xin Fu, Ying Liu +3
Food image segmentation is a critical and indispensible task for developing health-related applications such as estimating food calories and nutrients. Existing food image segmenta…
DEDGAT: Dual Embedding of Directed Graph Attention Networks for Detecting Financial Risk
Jiafu Wu, Mufeng Yao, Dong Wu +6
Graph representation plays an important role in the field of financial risk control, where the relationship among users can be constructed in a graph manner. In practical scenarios…
Non-smooth model and numerical analysis of a friction driven structure for piezoelectric motors
Weiting Liu, Maoying Zhou, Xiaodong Ruan +1
In this contribution, typical friction driven structures are summarized and presented considering the mechanical structures and operation principles of different types of piezoelec…
Enabling Highly Efficient Capsule Networks Processing Through A PIM-Based Architecture Design
Xingyao Zhang, Shuaiwen Leon Song, Chenhao Xie +3
In recent years, the CNNs have achieved great successes in the image processing tasks, e.g., image recognition and object detection. Unfortunately, traditional CNN's classification…
Orbifold Bogomolov-Gieseker inequalities on compact Kähler varieties
Xin Fu, Wenhao Ou
In a previous paper, the orbifold Bogomolov-Gieseker inequality is proved for a stable reflexive sheaf on a compact Kähler variety with klt singularities. In this paper, we give a…
MVMD: A Multi-View Approach for Enhanced Mirror Detection
Yidan Shen, Yu Wen, Chen Zhang +2
In 3D reconstruction, mirrors introduce significant challenges by creating distorted and fragmented spaces, resulting in inaccurate and unreliable 3D models. As 3D reconstruction t…
On the construction of a complete Kahler-Einstein metric with negative scalar curvature near an isolated log-canonical singularity
Hanlong Fang, Xin Fu
In this short note we are concerned with the Kahler-Einstein metrics near cone type log canonical singularities. By two different approaches, we construct a complete Kahler-Einstei…
Cohomology bases of toric surfaces
Xin Fu, Tseleung So, Jongbaek Song
Given a compact toric surface, the multiplication of its rational cohomology can be described in terms of the intersection products of Weil divisors, or in terms of the cup product…
Efficient Federated Learning for AIoT Applications Using Knowledge Distillation
Tian Liu, Zhiwei Ling, Jun Xia +3
As a promising distributed machine learning paradigm, Federated Learning (FL) trains a central model with decentralized data without compromising user privacy, which has made it wi…
On the Datar-Mete-Song minimal slope conjecture
Xin Fu
We prove a conjecture of Datar-Mete-Song \cite{DMS} characterizing -slope semi-stability by the minimal -slope. More precisely, for a semi-stable pair of Kähler classes $(α,β…
OO-VR: NUMA Friendly Object-Oriented VR Rendering Framework For Future NUMA-Based Multi-GPU Systems
Chenhao Xie, Xin Fu, Mingsong Chen +1
With the strong computation capability, NUMA-based multi-GPU system is a promising candidate to provide sustainable and scalable performance for Virtual Reality. However, the entir…
Shift-BNN: Highly-Efficient Probabilistic Bayesian Neural Network Training via Memory-Friendly Pattern Retrieving
Qiyu Wan, Haojun Xia, Xingyao Zhang +3
Bayesian Neural Networks (BNNs) that possess a property of uncertainty estimation have been increasingly adopted in a wide range of safety-critical AI applications which demand rel…
Ultra-broadband and compact 22 3-dB silicon adiabatic coupler based on supermode-injected adjoint shape optimization
Hongliang Chen, Guangchen Su, Xin Fu +1
The 22 3-dB couplers are one of the most widely used and important components in silicon photonics. We propose an ultra-broadband and compact 22 3-dB adiabatic coup…
Decoupled Potential Integral Equations for Electromagnetic Scattering from Dielectric Objects
Jie Li, Xin Fu, Balasubramaniam Shanker
Recent work on developing novel integral equation formulations has involved using potentials as opposed to fields. This is a consequence of the additional flexibility offered by us…
Observability and Semiclassical Control for Schrödinger Equations on Non-compact Hyperbolic Surfaces
Xin Fu, Yulin Gong, Yunlei Wang
We study the observability of the Schrödinger equation on , a non-compact covering space of a compact hyperbolic surface . Using a generalized Bloch theory, functions on …
Fed MobiLLM: Efficient Federated LLM Fine-Tuning over Heterogeneous Mobile Devices via Server Assisted Side-Tuning
Xingke Yang, Liang Li, Sicong Li +6
Collaboratively fine-tuning (FT) large language models (LLMs) over heterogeneous mobile devices fosters immense potential applications of personalized intelligence. However, such a…
Dirichlet problem of complex Monge-Ampère equation near an isolated KLT singularity
Xin Fu
We solve the Dirichlet Problem of Monge-Ampère equation near an isolate Klt singularity, which generalizes the result of Eyssidieux-Guedj-Zeriahi \cite{EGZ}, where the Monge-Ampè…
Homotopy types of partial quotients for a certain case
Xin Fu
In this paper, we determine the homotopy type of the quotient space , given by the moment-angle complex under the diagonal circle…
Codimension four regularity of generalized Einstein structures
Xin Fu, Aaron Naber, Jeffrey Streets
We establish codimension 4 regularity of noncollapsed sequences of metrics with bounds on natural generalizations of the Ricci tensor. We obtain a priori L2 curvature estimates on…
Accelerating convolutional neural network by exploiting sparsity on GPUs
Weizhi Xu, Yintai Sun, fhengyu Fan +2
Convolutional neural network (CNN) is an important deep learning method. The convolution operation takes a large proportion of the total execution time for CNN. Feature maps for co…
Variation of Kahler-Einstein metrics with mixed singularities
Xin Fu, Jiyuan Han, Yongpan Zou
In this short note, we consider a fiberation f: (X, Delta) to Y between two compact Kahler manifolds with generic fiber of f being a smooth log canonical pair with ample canonical…
Cohomology of smooth toric varieties: naturality
Matthias Franz, Xin Fu
Building on the recent computation of the cohomology rings of smooth toric varieties and partial quotients of moment-angle complexes, we investigate the naturality properties of th…
Multi-Grained Preference Enhanced Transformer for Multi-Behavior Sequential Recommendation
Chuan He, Yongchao Liu, Qiang Li +5
Sequential recommendation (SR) aims to predict the next purchasing item according to users' dynamic preference learned from their historical user-item interactions. To improve the…
Towards end-to-end pulsed eddy current classification and regression with CNN
Xin Fu, Chengkai Zhang, Xiang Peng +2
Pulsed eddy current (PEC) is an effective electromagnetic non-destructive inspection (NDI) technique for metal materials, which has already been widely adopted in detecting crackin…
Generalized Debye Sources Based EFIE Solver on Subdivision Surfaces
Xin Fu, Jie Li, Li Jun Jiang +1
The electric field integral equation is a well known workhorse for obtaining fields scattered by a perfect electric conducting (PEC) object. As a result, the nuances and challenges…
Homogenization of the scattered wave and scattering resonances for periodic high-contrast subwavelength resonators
Yuxin Du, Xin Fu, Wenjia Jing
We study time-harmonic scattering by a periodic array of penetrable, high-contrast obstacles with small period, confined to a bounded Lipschitz domain. The strong contrast between…
Asymptotics of Kähler-Einstein metrics on complex hyperbolic cusps
Xin Fu, Hans-Joachim Hein, Xumin Jiang
Let be a negative holomorphic line bundle over an -dimensional complex torus . Let be a Hermitian metric on such that the curvature form of the dual Hermitian…
Convergence rate and uniform Lipschitz estimate in periodic homogenization of high-contrast elliptic systems
Xin Fu, Wenjia Jing
We consider the Dirichlet problem for elliptic systems with periodically distributed inclusions whose conduction parameter exhibits a significant contrast compared to the backgroun…
Just Noticeable Difference for Deep Machine Vision
Jian Jin, Xingxing Zhang, Xin Fu +4
As an important perceptual characteristic of the Human Visual System (HVS), the Just Noticeable Difference (JND) has been studied for decades with image and video processing (e.g.,…
Tuning Quantum Computing Privacy through Quantum Error Correction
Hui Zhong, Keyi Ju, Manojna Sistla +4
Quantum computing is a promising paradigm for efficiently solving large and high-complexity problems. To protect quantum computing privacy, pioneering research efforts proposed to…
Model category structures on multicomplexes
Xin Fu, Ai Guan, Muriel Livernet +1
We present a family of model structures on the category of multicomplexes. There is a cofibrantly generated model structure in which the weak equivalences are the morphisms inducin…
WALA Learning Executable Latent Actions from Action-Labeled Demonstrations and Action-Free Videos
Jiahao Liu, Zhongpu Xia, Shuai Tian +13
WALA is a framework that learns executable latent actions for robot manipulation by pretraining on both action‑labeled demonstrations and unlabeled videos, predicting future change…
PAE MobiLLM: Privacy-Aware and Efficient LLM Fine-Tuning on the Mobile Device via Additive Side-Tuning
Xingke Yang, Liang Li, Zhiyi Wan +6
There is a huge gap between numerous intriguing applications fostered by on-device large language model (LLM) fine-tuning (FT) from fresh mobile data and the limited resources of a…
DMT: Demographic Conditioning, Morphology-Enhanced Transformer for Cuffless Blood Pressure Estimation from PPG Signals
Yidan Shen, Neville Mathew, Maham Rahimi +4
Blood pressure (BP) is a key marker for cardiovascular risk assessment and therapeutic decision-making, and Photoplethysmography (PPG) enables low-cost, wearable-friendly cuffless…
NeuroMoE: A Transformer-Based Mixture-of-Experts Framework for Multi-Modal Neurological Disorder Classification
Wajih Hassan Raza, Aamir Bader Shah, Yu Wen +6
The integration of multi-modal Magnetic Resonance Imaging (MRI) and clinical data holds great promise for enhancing the diagnosis of neurological disorders (NDs) in real-world clin…
Nationwide EHR-Based Chronic Rhinosinusitis Prediction Using Demographic-Stratified Models
Sicong Chang, Yidan Shen, Justina Varghese +7
Chronic rhinosinusitis (CRS) is a common heterogeneous inflammatory disorder that causes substantial morbidity and healthcare costs. CRS is difficult to identify early from routine…
Potential Integral Equations in Electromagnetics
Jie Li, Xin Fu, Balasubramaniam Shanker
In this work, a new integral equation (IE) based formulation is proposed using vector and scalar potentials for electromagnetic scattering. The new integral equations feature decou…