Publications (34)
Permutation polynomials of degree 8 over finite fields of odd characteristic
Xiang Fan
This paper provides an algorithmic generalization of Dickson's method of classifying permutation polynomials (PPs) of a given degree over finite fields. Dickson's idea is to fo…
Initial spin fluctuations as a probe of cluster spin structure in and nuclei
Xiang Fan, Jun-Qi Tao, Ze-Fang Jiang +1
We investigate the imprint of clustering on initial spin fluctuations in relativistic and collisions…
Contrastive Flow Matching
George Stoica, Vivek Ramanujan, Xiang Fan +3
Unconditional flow-matching trains diffusion models to transport samples from a source distribution to a target distribution by enforcing that the flows between sample pairs are un…
Explicit induction principle and symplectic-orthogonal theta lifts
Xiang Fan
During the last two decades, great efforts have been devoted to the calculation of the local theta correspondence for reductive dual pairs. However, uniform formulas remain elusive…
Spontaneous Transport Barriers Quench Turbulent Resistivity in 2D MHD
Xiang Fan, P. H. Diamond, L. Chacón
This Letter identifies the physical mechanism for the quench of turbulent resistivity in 2D MHD. Without an imposed, ordered magnetic field, a multi-scale, blob-and-barrier structu…
A deep learning approach for predicting multiple observables in Au+Au collisions at RHIC
Jun-Qi Tao, Xiang Fan, Yang Liu +4
We develop a neural network model, based on the processes of high-energy heavy-ion collisions, to study and predict several experimental observables in Au+Au collisions. We present…
Linear complexity of Ding-Helleseth generalized cyclotomic sequences of order eight
Yana Liang, Jiali Cao, Xingfa Chen +2
During the last two decades, many kinds of periodic sequences with good pseudo-random properties have been constructed from classical and generalized cyclotomic classes, and used a…
Left-right splitting of elliptic flow in heavy ion collisions: TRENTo-3D initialization and CLVisc hydrodynamic simulations
Ze-Fang Jiang, Xiang Fan, Duan She +2
Using the TRENTo-3D initial condition model coupled with (3+1)-dimensional CLVisc hydrodynamic simulations, we systematically investigate the left-right splitting of elliptic flow…
Quantifying & Modeling Multimodal Interactions: An Information Decomposition Framework
Paul Pu Liang, Yun Cheng, Xiang Fan +9
The recent explosion of interest in multimodal applications has resulted in a wide selection of datasets and methods for representing and integrating information from different mod…
Parity preservation of -types under theta correspondence
Xiang Fan
This note shows a property of degree-parity preservation for -types under Howe's theta correspondence. As its application, we deduce the preservation of parity of all -types…
A Model Stealing Attack Against Multi-Exit Networks
Li Pan, Lv Peizhuo, Chen Kai +3
Compared to traditional neural networks with a single output channel, a multi-exit network has multiple exits that allow for early outputs from the model's intermediate layers, thu…
Probing stops in the coannihilation region at the HL-LHC: a comparative study of different processes
Guang Hua Duan, Xiang Fan, Ken-ichi Hikasa +2
In the minimal supersymmetric model, the coannihilation of the lighter stop and bino-like dark matter provides a feasible way to accommodate the correct dark mat…
Probabilistic Bounds on the Number of Elements to Generate Finite Nilpotent Groups and Their Applications
Ziyuan Dong, Xiang Fan, Tengxun Zhong +1
This work establishes a new probabilistic bound on the number of elements to generate finite nilpotent groups. Let denote the probability that random elements generat…
Full classification of exceptional rational functions of degree five over finite fields
Zhichao Tang, Xiang Fan
We classify exceptional rational functions of degree five over an arbitrary finite field, up to left and right Möbius transformations, and give explicit normal forms in every char…
A minimal extension of MSSM in light of the B decay anomaly
Guang Hua Duan, Xiang Fan, Mariana Frank +2
Motivated by the and anomalies from B decays, we extend the minimal supersymmetric model with a non-universal anomaly-free gauge symmetry, coupling no…
OmniView: An All-Seeing Diffusion Model for 3D and 4D View Synthesis
Xiang Fan, Sharath Girish, Vivek Ramanujan +6
Prior approaches injecting camera control into diffusion models have focused on specific subsets of 4D consistency tasks: novel view synthesis, text-to-video with camera control, i…
The Weil bound and non-exceptional permutation polynomials over finite fields
Xiang Fan
A well-known result of von zur Gathen asserts that a non-exceptional permutation polynomial of degree over exists only if . With the help of the Weil…
Revisiting finite Abelian hidden subgroup problem and its distributed exact quantum algorithm
Ziyuan Dong, Xiang Fan, Tengxun Zhong +1
We revisit the finite Abelian hidden subgroup problem (AHSP) from a mathematical perspective and make the following contributions. First, by employing amplitude amplification, we p…
Videoshop: Localized Semantic Video Editing with Noise-Extrapolated Diffusion Inversion
Xiang Fan, Anand Bhattad, Ranjay Krishna
We introduce Videoshop, a training-free video editing algorithm for localized semantic edits. Videoshop allows users to use any editing software, including Photoshop and generative…
MultiZoo & MultiBench: A Standardized Toolkit for Multimodal Deep Learning
Paul Pu Liang, Yiwei Lyu, Xiang Fan +4
Learning multimodal representations involves integrating information from multiple heterogeneous sources of data. In order to accelerate progress towards understudied modalities an…
Deep learning approaches to extract nuclear deformation parameters from initial-state information in heavy-ion collisions
Jun-Qi Tao, Yang Liu, Yu Sha +5
The deformation of heavy nuclei leaves characteristic imprints on the initial conditions of relativistic heavy-ion collisions. However, event-by-event fluctuations make the quantit…
Formation and Evolution of Target Patterns in Cahn-Hilliard Flows
Xiang Fan, P. H. Diamond, Luis Chacón
We study the evolution of the concentration field in a single eddy in the 2D Cahn-Hilliard system to better understand scalar mixing processes in that system. This study extends in…
CHNS: A case study of turbulence in elastic media
Xiang Fan, P. H. Diamond, L. Chacón
Recent progress in the study of Cahn-Hilliard Navier-Stokes (CHNS) turbulence is summarized. This is an example of \textit{elastic turbulence}, which can occur in elastic (i.e. sel…
MultiBench: Multiscale Benchmarks for Multimodal Representation Learning
Paul Pu Liang, Yiwei Lyu, Xiang Fan +9
Learning multimodal representations involves integrating information from multiple heterogeneous sources of data. It is a challenging yet crucial area with numerous real-world appl…
RefDecoder: Enhancing Visual Generation with Conditional Video Decoding
Xiang Fan, Yuheng Wang, Bohan Fang +2
Video generation powers a vast array of downstream applications. However, while the de facto standard, i.e., latent diffusion models, typically employ heavily conditioned denoising…
Permutation polynomials of degree 8 over finite fields of characteristic 2
Xiang Fan
Up to linear transformations, we obtain a classification of permutation polynomials (PPs) of degree over with . By [J. Number Theory 176 (2017) 466-66],…
RefTok: Reference-Based Tokenization for Video Generation
Xiang Fan, Xiaohang Sun, Kushan Thakkar +4
Effectively handling temporal redundancy remains a key challenge in learning video models. Prevailing approaches often treat each set of frames independently, failing to effectivel…
MolmoAct2: Action Reasoning Models for Real-world Deployment
Haoquan Fang, Jiafei Duan, Donovan Clay +26
Vision-Language-Action (VLA) models aim to provide a single generalist controller for robots, but today's systems fall short on the criteria that matter for real-world deployment.…
A classification of permutation polynomials of degree over finite fields
Xiang Fan
Up to linear transformations, we give a classification of all permutation polynomials of degree over for any odd prime power , with the help of the SageMath…
Cascades and Spectra of a Turbulent Spinodal Decomposition in 2D Symmetric Binary Liquid Mixture
Xiang Fan, P. H. Diamond, L. Chacón +1
We study the fundamental physics of cascades and spectra in 2D Cahn-Hilliard-Navier-Stokes (CHNS) turbulence, and compare and contrast this system with 2D MagnetoHydroDynamic (MHD)…
High-Modality Multimodal Transformer: Quantifying Modality & Interaction Heterogeneity for High-Modality Representation Learning
Paul Pu Liang, Yiwei Lyu, Xiang Fan +6
Many real-world problems are inherently multimodal, from spoken language, gestures, and paralinguistics humans use to communicate, to force, proprioception, and visual sensors on r…
Nano: Nested Human-in-the-Loop Reward Learning for Few-shot Language Model Control
Xiang Fan, Yiwei Lyu, Paul Pu Liang +2
Pretrained language models have demonstrated extraordinary capabilities in language generation. However, real-world tasks often require controlling the distribution of generated te…
Thermal photon emission from quark-gluon plasma: 1+1D magnetohydrodynamics results
Jie Xiong, Xiang Fan, Jing Jing +3
We investigate thermal photon production in the quark-gluon plasma (QGP) under strong magnetic fields using a magnetohydrodynamic (MHD) framework. Adopting the Bjorken flow model w…
Hyperon polarization in isobaric Zr+Zr collisions at GeV: TRENRo3D + CLVisc with an initial longitudinal flow gradient
Ze-Fang Jiang, Xiang Fan, Jing Jing
We present a theoretical study of global and azimuthal-angle-dependent hyperon polarization in isobaric Zr+Zr collisions at ~GeV usi…