Publications (86)
lm-Meter: Unveiling Runtime Inference Latency for On-Device Language Models
Haoxin Wang, Xiaolong Tu, Hongyu Ke +3
Large Language Models (LLMs) are increasingly integrated into everyday applications, but their prevalent cloud-based deployment raises growing concerns around data privacy and long…
A tale of two volumes of moduli spaces: Weil-Petersson and Masur-Veech
Dawei Chen, Scott Mullane
Weil-Petersson and Masur-Veech volumes measure the sizes of moduli spaces of Riemann surfaces equipped with hyperbolic and flat metrics, respectively. Over the past several decades…
Gorenstein contractions of multiscale differentials
Dawei Chen, Qile Chen
Multiscale differentials arise as limits of holomorphic differentials with prescribed zero orders on nodal curves. In this paper, we address the conjecture concerning Gorenstein co…
Relative period realization of holomorphic differentials with prescribed invariants
Dawei Chen, Gianluca Faraco
We provide a complete description of realizable relative period representations for holomorphic differentials on Riemann surfaces with prescribed orders of zeros and additional inv…
Cold-start Playlist Recommendation with Multitask Learning
Dawei Chen, Cheng Soon Ong, Aditya Krishna Menon
Playlist recommendation involves producing a set of songs that a user might enjoy. We investigate this problem in three cold-start scenarios: (i) cold playlists, where we recommend…
Log Minimal Model Program for the Kontsevich Space of Stable Maps
Dawei Chen
This work is inspired by conversations with Izzet Coskun and Joe Harris. We run the log minimal model program for the Kontsevich space of stable maps $\bar{\mathcal M}_{0,0}(\mathb…
PathRec: Visual Analysis of Travel Route Recommendations
Dawei Chen, Dongwoo Kim, Lexing Xie +5
We present an interactive visualisation tool for recommending travel trajectories. This system is based on new machine learning formulations and algorithms for the sequence recomme…
Connectedness of the boundaries of the strata of differentials
Dawei Chen
Let be a connected component of the projectivized stratum of differentials on smooth complex curves, where the zero and pole orders of the differentials a…
Stable Base Locus Decompositions of Kontsevich Moduli Spaces
Dawei Chen, Izzet Coskun
In this paper, we determine the stable base locus decomposition of the Kontsevich moduli spaces of degree two and three stable maps to Grassmannians. This gives new examples of the…
Period realization of meromorphic differentials with prescribed invariants
Dawei Chen, Gianluca Faraco
We provide a complete description of realizable period representations for meromorphic differentials on Riemann surfaces with prescribed orders of zeros and poles, hyperelliptic st…
Moduli of Differentials and Teichmüller Dynamics
Andrei Bud, Dawei Chen
An increasingly important area of interest for mathematicians is the study of Abelian differentials. This growing interest can be attributed to the interdisciplinary role this subj…
Spin and hyperelliptic structures of log twisted differentials
Dawei Chen, Qile Chen
Using stable log maps, we introduce log twisted differentials extending the notion of abelian differentials to the Deligne-Mumford boundary of stable curves. The moduli stack of lo…
Parity of -differentials in genus zero and one
Dawei Chen, Evan Chen, Kenny Lau +2
Here we completely determine the spin parity of -differentials with prescribed zero and pole orders on Riemann surfaces of genus zero and one. This result was previously obtaine…
Gorenstein singularities with -action and moduli spaces of holomorphic differentials
Dawei Chen, Fei Yu
Given a holomorphic differential on a smooth complex algebraic curve, we associate to it a Gorenstein curve singularity with -action via a test configuration. This con…
CoMap: Proactive Provision for Crowdsourcing Map in Automotive Edge Computing
Yongjie Xue, Yuru Zhang, Qiang Liu +2
Crowdsourcing data from connected and automated vehicles (CAVs) is a cost-efficient way to achieve high-definition maps with up-to-date transient road information. Achieving the ma…
Belief Acquisition as Stochastic Filtering
Dawei Chen, John Lloyd, Samuel Yang-Zhao +1
This paper studies how belief acquisition can be accomplished using stochastic filtering. First, a theoretical foundation for empirical beliefs is outlined. Then stochastic filteri…
Integrated Sensing and Communication based Outdoor Multi-Target Detection, Tracking and Localization in Practical 5G Networks
Ruiqi Liu, Mengnan Jian, Dawei Chen +4
The 6th generation (6G) wireless networks will likely to support a variety of capabilities beyond communication, such as sensing and localization, through the use of communication…
Nonvarying, affine, and extremal geometry of strata of differentials
Dawei Chen
We prove that the nonvarying strata of abelian and quadratic differentials in [CM1, CM2] have trivial tautological rings and are affine varieties. We also prove that strata of -…
Enabling Cost-Effective Population Health Monitoring By Exploiting Spatiotemporal Correlation: An Empirical Study
Dawei Chen, Jiangtao Wang, Wenjie Ruan +2
Because of its important role in health policy-shaping, population health monitoring (PHM) is considered a fundamental block for public health services. However, traditional public…
Covers of Elliptic Curves and the Lower Bound for Slopes of Effective Divisors on
Dawei Chen
Consider genus curves that admit degree covers to elliptic curves only branched at one point with a fixed ramification type. The locus of such covers forms a one parameter…
Non-varying sums of Lyapunov exponents of Abelian differentials in low genus
Dawei Chen, Martin Moeller
We show that for many strata of Abelian differentials in low genus the sum of Lyapunov exponents for the Teichmueller geodesic flow is the same for all Teichmueller curves in that…
New highly efficient and accurate numerical scheme for the Cahn-Hilliard-Brinkman system
Dawei Chen, Qinzhen Ren, Minghui Li
In this paper, based on a generalized scalar auxiliary variable approach with relaxation (R-GSAV), we construct a class of high-order backward differentiation formula (BDF) schemes…
Unleashing the True Power of Age-of-Information: Service Aggregation in Connected and Autonomous Vehicles
Anik Mallik, Dawei Chen, Kyungtae Han +2
Connected and autonomous vehicles (CAVs) rely heavily upon time-sensitive information update services to ensure the safety of people and assets, and satisfactory entertainment appl…
Affine geometry of strata of differentials
Dawei Chen
Affine varieties among all algebraic varieties have simple structures. For example, an affine variety does not contain any complete algebraic curve. In this paper we study affine r…
A nearly optimal explicitly-sparse representation for oscillatory kernels with curvelet-like functions
Yanchuang Cao, Jun Liu, Dawei Chen
A nearly optimal explicitly-sparse representation for oscillatory kernels is presented in this work by developing a curvelet based method. Multilevel curvelet-like functions are co…
Loci of curves with subcanonical points in low genus
Dawei Chen, Nicola Tarasca
Inside the moduli space of curves of genus three with one marked point, we consider the locus of hyperelliptic curves with a marked Weierstrass point, and the locus of non-hyperell…
Independence of tautological classes and cohomological stability for strata of differentials
Dawei Chen, Hannah Larson
The tautological rings of strata of differentials are known to be generated by divisor classes. In this paper, we give lower bounds on the degrees of relations among them, dependin…
AdaMap: High-Scalable Real-Time Cooperative Perception at the Edge
Qiang Liu, Yongjie Xue, Yuru Zhang +2
Cooperative perception is the key approach to augment the perception of connected and automated vehicles (CAVs) toward safe autonomous driving. However, it is challenging to achiev…
Quasimodularity and large genus limits of Siegel-Veech constants
Dawei Chen, Martin Moeller, Don Zagier
Quasimodular forms were first studied in the context of counting torus coverings. Here we show that a weighted version of these coverings with Siegel-Veech weights also provides qu…
The Expresso Microarray Experiment Management System: The Functional Genomics of Stress Responses in Loblolly Pine
Lenwood S. Heath, Naren Ramakrishnan, Ronald R. Sederoff +7
Conception, design, and implementation of cDNA microarray experiments present a variety of bioinformatics challenges for biologists and computational scientists. The multiple stage…
Dynamical invariants and intersection theory on the flex and gothic loci
Dawei Chen
The flex locus parameterizes plane cubics with three collinear cocritical points under a projection, and the gothic locus arises from quadratic differentials with zeros at a fiber…
Effective divisors on moduli spaces of curves and abelian varieties
Dawei Chen, Gavril Farkas, Ian Morrison
This paper is an expository survey of results about the effective divisors on moduli spaces, with a focus on what is known about the effective cones of moduli spaces of stable curv…
Finite isoresidual covers in strata of -differentials
Dawei Chen, Quentin Gendron, Miguel Prado +1
Consider the strata of primitive -differentials on the Riemann sphere whose singularities, except for two, are poles of order divisible by . The map that assigns to each -…
Teichmüller dynamics in the eyes of an algebraic geometer
Dawei Chen
This is an introduction to the algebraic aspect of Teichmüller dynamics, with a focus on its interplay with the geometry of moduli spaces of curves as well as recent advances in t…
Compactification of strata of abelian differentials
Matt Bainbridge, Dawei Chen, Quentin Gendron +2
We describe the closure of the strata of abelian differentials with prescribed type of zeros and poles, in the projectivized Hodge bundle over the Deligne-Mumford moduli space of s…
PlatformX: An End-to-End Transferable Platform for Energy-Efficient Neural Architecture Search
Xiaolong Tu, Dawei Chen, Kyungtae Han +2
Hardware-Aware Neural Architecture Search (HW-NAS) has emerged as a powerful tool for designing efficient deep neural networks (DNNs) tailored to edge devices. However, existing me…
Simply branched covers of an elliptic curve and the moduli space of curves
Dawei Chen
Consider genus g curves that admit degree d covers to an elliptic curve simply branched at 2g-2 points. Vary a branch point and the locus of such covers forms a one-parameter famil…
Positivity of divisor classes on the strata of differentials
Dawei Chen
Three decades ago Cornalba-Harris proved a fundamental positivity result for divisor classes associated to families of stable curves. In this paper we establish an analogous positi…
Non-trivial and Non-tautological Cohomology of Strata of Differentials
Dawei Chen, Prabhat Devkota, Samuel Grushevsky +1
In this paper we construct various non-trivial and non-tautological cohomology classes on compactified and uncompactified strata of curves with a differential, by using the geometr…
Filtration and splitting of the Hodge bundle on the non-varying strata of quadratic differentials
Dawei Chen, Fei Yu
We describe the Harder--Narasimhan filtration of the Hodge bundle for Teichmüller curves in the non-varying strata of quadratic differentials appearing in [CM2]. Moreover, we show…
Discrete Boltzmann modeling of Rayleigh-Taylor instability: effects of interfacial tension, viscosity and heat conductivity
Jie Chen, Aiguo Xu, Dawei Chen +2
The Rayleigh-Taylor Instability (RTI) in compressible flow with inter-molecular interactions is probed via the Discrete Boltzmann Method (DBM). The effects of interfacial tension,…
Covers of the projective line and the moduli space of quadratic differentials
Dawei Chen
Consider the 1-dimensional Hurwitz space parameterizing covers of P^1 branched at four points. We study its intersection with divisor classes on the moduli space of curves. As an a…
On the Kodaira dimension of moduli spaces of Abelian differentials
Dawei Chen, Matteo Costantini, Martin Möller
This paper lays the foundation for determining the Kodaira dimension of the projectivized strata of Abelian differentials with prescribed zero and pole orders in large genus. We wo…
Principal boundary of moduli spaces of abelian and quadratic differentials
Dawei Chen, Qile Chen
The seminal work of Eskin-Masur-Zorich described the principal boundary of moduli spaces of abelian differentials that parameterizes flat surfaces with a prescribed generic configu…
Quadratic differentials in low genus: exceptional and non-varying
Dawei Chen, Martin Moeller
We give an algebraic way of distinguishing the components of the exceptional strata of quadratic differentials in genus three and four. The complete list of these strata is (9, -1)…
Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials
Dawei Chen, Martin Möller, Adrien Sauvaget +1
We show that the Masur-Veech volumes and area Siegel-Veech constants can be obtained by intersection numbers on the strata of Abelian differentials with prescribed orders of zeros.…
Extremality of loci of hyperelliptic curves with marked Weierstrass points
Dawei Chen, Nicola Tarasca
The locus of genus-two curves with n marked Weierstrass points has codimension n inside the moduli space of genus-two curves with n marked points, for n<=6. It is well known that t…
A tale of two moduli spaces: logarithmic and multi-scale differentials
Dawei Chen, Samuel Grushevsky, David Holmes +3
Multi-scale differentials were constructed by M.~Bainbridge, D.~Chen, Q.~Gendron, S.~Grushevsky, and M.~Möller, from the viewpoint of flat and complex geometry, for the purpose of…
Strata of abelian differentials and the Teichmueller dynamics
Dawei Chen
This paper focuses on the interplay between the intersection theory and the Teichmueller dynamics on the moduli space of curves. As applications, we study the cycle class of strata…
Extremal effective divisors of Brill-Noether and Gieseker-Petri type in
Dawei Chen, Anand Patel
We show that certain divisors of Brill-Noether and Gieseker-Petri type span extremal rays of the effective cone in the moduli space of stable genus one curves with ordered mark…
Towards a classification of connected components of the strata of -differentials
Dawei Chen, Quentin Gendron
A -differential on a Riemann surface is a section of the -th power of the canonical bundle. Loci of -differentials with prescribed number and multiplicities of zeros and p…
Hilbert scheme of a pair of codimension two linear subspaces
Dawei Chen, Izzet Coskun, Scott Nollet
We study the component H_n of the Hilbert scheme whose general point parameterizes a pair of codimension two linear subspaces in P^n for n > 2. We show that H_n is smooth and isomo…
Confidence-based federated distillation for vision-based lane-centering
Yitao Chen, Dawei Chen, Haoxin Wang +2
A fundamental challenge of autonomous driving is maintaining the vehicle in the center of the lane by adjusting the steering angle. Recent advances leverage deep neural networks to…
Radio Galaxy Zoo: tagging radio subjects using text
Dawei Chen, Vinay Kerai, Matthew J. Alger +2
RadioTalk is a communication platform that enabled members of the Radio Galaxy Zoo (RGZ) citizen science project to engage in discussion threads and provide further descriptions of…
Extremal effective divisors on the moduli space of n-pointed genus one curves
Dawei Chen, Izzet Coskun
For every , we exhibit infinitely many extremal effective divisors on the moduli space of genus one curves with marked points.
CAVE: Crowdsourcing Passing-By Vehicles for Reliable In-Vehicle Edge Computing
Jiahe Cao, Qiang Liu, Dawei Chen +1
In-vehicle edge computing is a much anticipated paradigm to serve ever-increasing computation demands originated from the ego vehicle, such as passenger entertainments. In this pap…
Square-tiled surfaces and rigid curves on moduli spaces
Dawei Chen
This work is motivated by two central questions in the birational geometry of moduli spaces of curves -- Fulton's conjecture and the effective cone of . We study the alge…
The Kodaira dimension of even spin strata of Abelian differentials
Andrei Bud, Dawei Chen, Martin Möller
The even spin components of the strata of Abelian differentials are difficult to handle from a birational geometry perspective due to the fact that their spin line bundles have mor…
Learning Points and Routes to Recommend Trajectories
Dawei Chen, Cheng Soon Ong, Lexing Xie
The problem of recommending tours to travellers is an important and broadly studied area. Suggested solutions include various approaches of points-of-interest (POI) recommendation…
Counting differentials with fixed residues
Dawei Chen, Miguel Prado
We investigate the count of meromorphic differentials on the Riemann sphere possessing a single zero, multiple poles with prescribed orders, and fixed residues at each pole. Gendro…
Moduli of Generalized Line Bundles on a Ribbon
Dawei Chen, Jesse Leo Kass
A ribbon is a first-order thickening of a non-singular curve. Motivated by a question of Eisenbud and Green, we show that a compactification of the moduli space of line bundles on…
Linear series on ribbons
Dawei Chen
A ribbon is a double structure on P^1. The geometry of a ribbon is closely related to that of a smooth curve. In this note we consider linear series on ribbons. Our main result is…
On the dimension of the Hilbert scheme of curves
Dawei Chen
Consider a component of the Hilbert scheme whose general point corresponds to a degree d genus g smooth irreducible and nondegenerate curve in a projective variety X. We give lower…
EPAM: A Predictive Energy Model for Mobile AI
Anik Mallik, Haoxin Wang, Jiang Xie +2
Artificial intelligence (AI) has enabled a new paradigm of smart applications -- changing our way of living entirely. Many of these AI-enabled applications have very stringent late…
Structured Recommendation
Dawei Chen, Lexing Xie, Aditya Krishna Menon +1
Current recommender systems largely focus on static, unstructured content. In many scenarios, we would like to recommend content that has structure, such as a trajectory of points-…
Towards Mori's program for the moduli space of stable maps
Dawei Chen, Izzet Coskun, Charley Crissman
We introduce and compute the class of a number of effective divisors on the moduli space of stable maps , which, for small d, provide a good understanding of…
An algebro-geometric perspective on the topology of moduli spaces of differentials
Dawei Chen, Fei Yu
Differentials on Riemann surfaces correspond to translation surfaces with conical singularities, and affine transformations acting on them preserve the orders of these singularitie…
The WYSIWYG compactification
Dawei Chen, Alex Wright
We show that the partial compactification of a stratum of Abelian differentials previously considered by Mirzakhani and Wright is not an algebraic variety. Despite this, we use a c…
Revisiting revisits in trajectory recommendation
Aditya Krishna Menon, Dawei Chen, Lexing Xie +1
Trajectory recommendation is the problem of recommending a sequence of places in a city for a tourist to visit. It is strongly desirable for the recommended sequence to avoid loops…
Visualization of Mobility Digital Twin: Framework Design, Case Study, and Future Challenges
Yueyang Liu, Xiaolong Tu, Dawei Chen +4
A Mobility Digital Twin is an emerging implementation of digital twin technology in the transportation domain, which creates digital replicas for various physical mobility entities…
Degenerations of Abelian Differentials
Dawei Chen
Consider degenerations of Abelian differentials with prescribed number and multiplicity of zeros and poles. Motivated by the theory of limit linear series, we define twisted canoni…
The moduli space of multi-scale differentials
Matt Bainbridge, Dawei Chen, Quentin Gendron +2
We construct a compactification of the moduli spaces of abelian differentials on Riemann surfaces with prescribed zeroes and poles. This compactification, called the moduli space o…
Strata of -differentials
Matt Bainbridge, Dawei Chen, Quentin Gendron +2
A -differential on a Riemann surface is a section of the -th power of the canonical line bundle. Loci of -differentials with prescribed number and multiplicities of zeros…
Extremal higher codimension cycles on moduli spaces of curves
Dawei Chen, Izzet Coskun
We show that certain geometrically defined higher codimension cycles are extremal in the effective cone of the moduli space of stable genus curves…
Area Siegel--Veech constants for affine invariant submanifolds of REL zero
Dawei Chen, Elise Goujard, Martin Möller
We describe the principal boundary of an arbitrary affine invariant submanifold of REL zero in terms of level graphs of the multi-scale compactification of strata of Abelian differ…
Metamobility: Connecting Future Mobility with Metaverse
Haoxin Wang, Ziran Wang, Dawei Chen +3
A Metaverse is a perpetual, immersive, and shared digital universe that is linked to but beyond the physical reality, and this emerging technology is attracting enormous attention…
Non-asphericity of strata of genus-one differentials and stability spaces
Dawei Chen, Jingyin Huang, Yu Qiu +1
We show that when the number of zeros or poles is at least four, every connected component of the strata of differentials in genus one with prescribed zero and pole orders is not a…
Isoresidual curves
Dawei Chen, Quentin Gendron, Miguel Prado +1
Given a partition of , the stratum parametrizes meromorphic differential one-forms on the Riemann sphere with~ zeros and poles o…
Tautological ring of strata of differentials
Dawei Chen
Strata of -differentials on smooth curves parameterize sections of the -th power of the canonical bundle with prescribed orders of zeros and poles. Define the tautological ri…
Kinetics of Rayleigh-Taylor instability in van der Waals fluid: the influence of compressibility
Jie Chen, Aiguo Xu, Yudong Zhang +2
Early studies on Rayleigh-Taylor instability (RTI) primarily relied on the Navier-Stokes (NS) model. As research progresses, it becomes increasingly evident that the kinetic inform…
Detaching embedded points
Dawei Chen, Scott Nollet
We show that if is obtained from a codimension two local complete intersection by adding embedded points of multiplicity , then is a flat li…
Complete subvarieties in the projectivized strata of meromorphic differentials
Dawei Chen, Guillaume Tahar
Here we give an explicit construction of a globally defined strictly plurisubharmonic function on projectivized strata of strictly meromorphic differentials with prescribed orders…
Unveiling Energy Efficiency in Deep Learning: Measurement, Prediction, and Scoring across Edge Devices
Xiaolong Tu, Anik Mallik, Dawei Chen +4
Today, deep learning optimization is primarily driven by research focused on achieving high inference accuracy and reducing latency. However, the energy efficiency aspect is often…
Complete curves in the strata of differentials
Dawei Chen
Gendron proved that the strata of holomorphic differentials with prescribed orders of zeros do not contain complete algebraic curves by applying the maximum modulus principle to sa…
An extremal effective survey about extremal effective cycles in moduli spaces of curves
Dawei Chen
We survey recent developments and open problems about extremal effective divisors and higher codimension cycles in moduli spaces of curves.
GreenAuto: An Automated Platform for Sustainable AI Model Design on Edge Devices
Xiaolong Tu, Dawei Chen, Kyungtae Han +2
We present GreenAuto, an end-to-end automated platform designed for sustainable AI model exploration, generation, deployment, and evaluation. GreenAuto employs a Pareto front-based…