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Researcher profile

Jiang Zhou

Jiang Zhou contributes to research discovery and scholarly infrastructure.

ResearcherAffiliation not importedOpen to collaborate
math.FAcond-mat.str-elArtificial IntelligenceComputation and Languagemath.CA

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Published work

16 published item(s)

preprint2026arXiv

Toward Scalable Terminal Task Synthesis via Skill Graphs

Terminal agents have demonstrated strong potential for autonomous command-line execution, yet their training remains constrained by the scarcity of high-quality and diverse execution trajectories. Existing approaches mitigate this bottleneck by synthesizing large-scale terminal task instances for trajectory sampling. However, they primarily focus on scaling the number of tasks while providing limited control over the diversity of execution trajectories that agents actually experience during training. In this paper, we present SkillSynth, an automated framework for terminal task synthesis built on a scenario-mediated skill graph. SkillSynth first constructs a large-scale skill graph, where scenarios serve as intermediate transition nodes that connect diverse command-line skills. It then samples paths from this graph as abstractions of real-world workflows, and uses a multi-agent harness to instantiate them into executable task instances. By grounding task synthesis in graph-sampled workflow paths, SkillSynth explicitly controls the diversity of minimal execution trajectories required to solve the synthesized tasks. Experiments on Terminal-Bench demonstrate the effectiveness of SkillSynth. Moreover, task instances synthesized by SkillSynth have been adopted to train Hy3 Preview, contributing to its enhanced agentic capabilities in terminal-based settings.

0 citations0 reviewsNo code linkedOpen access
preprint2023arXiv

Interpolation on Convex-set Valued Lebesgue Spaces and its Applications

In this paper, we obtain two interpolation theorems on convex-set valued Lebesgue spaces, which generalize the Marcinkiewicz interpolation theorem and Riesz-Thorin interpolation theorem on classical Lebesgue spaces, respectively. As applications, we obtain the boundedness of convex-set valued fractional averaging operators and fractional maximal operators, and prove the reverse factorization property of matrix weights.

0 citations0 reviewsNo code linkedOpen access
preprint2023arXiv

Variable Fofana's Spaces and their Pre-dual

In this paper, we introduce the variable Fofana&#39;s spaces $(L^{p(\cdot)},L^q)^α(\mathbb{R}^n)$ where $1< p(\cdot)<\infty$ and $1\leq q,α\leq\infty$, then show some properties and establish the pre-dual of those spaces which are contributed to prove the necessary conditions of fractional integral commutators&#39; boundedness. As applications, the characterization of fractional integral operators and commutators on variable Fofana&#39;s spaces are discussed, which are new result even for the classical Fofana&#39;s spaces.

0 citations0 reviewsNo code linkedOpen access
preprint2022arXiv

Boundedness of intrinsic square functions and commutators on generalized central Morrey spaces

In this paper, the authors establish the boundedness for a large class of intrinsic square functions $\mathcal{G}_α$, $g_α$, $g^{\ast}_{\tildeλ,α}$ and their commutators $[b,\mathcal{G}_α]$, $[b,g_α]$ and $[b,g^{\ast}_{\tildeλ,α}]$ generated with $λ$-central $BMO$ functions $b\in CBMO^{p,λ}(\mathbb{R}^{n})$ on generalized central Morrey spaces $\mathcal{B}^{q,φ}(\mathbb{R}^{n})$ for $1<q<\infty,0<α\leq1$, respectively. All of the results are new even on the central Morrey spaces $\mathcal{B}^{q,λ}(\mathbb{R}^{n})$.

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preprint2022arXiv

Characterizations of Mixed Herz-Hardy Spaces and their Applications

The purpose of this paper is to introduce and investigate some basic properties of mixed homogeneous Herz-Hardy spaces $H\dot{K}_{\vec{p}}^{α, q}(\mathbb{R}^n)$ and mixed non-homogeneous Herz-Hardy spaces $HK_{\vec{p}}^{α, q}(\mathbb{R}^n)$. Furthermore, we establish the atom and molecular decompositions for $H\dot{K}_{\vec{p}}^{α, q}(\mathbb{R}^n)$ and $HK_{\vec{p}}^{α, q}(\mathbb{R}^n)$, by which the boundedness for a wide class of sublinear operators on mixed Herz-Hardy spaces is obtained. As a byproduct, the dual spaces of mixed homogeneous Herz-Hardy spaces are deduced.

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preprint2022arXiv

Critical structure and emergent symmetry of Dirac fermion systems

Emergent symmetry in Dirac system means that the system acquires an enlargement of two basic symmetries at some special critical point. The continuous quantum criticality between the two symmetry broken phases can be described within the framework of Gross-Neveu-Yukawa (GNY) model. Using the first-order $ε$ expansion in $4-ε$ dimensions, we study the critical structure and emergent symmetry of the chiral GNY model with $N_f$ flavors of four-component Dirac fermions coupled strongly to an $O(N)$ scalar field under a small $O(N)$-symmetry breaking perturbation. After determining the stable fixed point, we calculate the inverse correlation length exponent and the anomalous dimensions (bosonic and fermionic) for general $N$ and $N_f$. Further, we discuss the emergent-symmetry and the emergent supersymmetric critical point for $N\geq4$ on the basis of $O(N)$-GNY model. It turns out that the chiral emergent-$O(N)$ universality class is physically meaningful if and only if $N<2N_f+4$. On this premise, the small $O(N)$-symmetry breaking perturbation is always irrelevant in the chiral emergent-$O(N)$ universality class. Our studies show that the emergent symmetry in Dirac systems has an upper boundary $O(2N_f+3)$, depending on the flavor numbers $N_f$. As a result, the emergent-$O(4)$ and $O(5)$ symmetries are possible to be found in the systems with fermion flavor $N_f=1$, and the emergent-$O(4)$, $O(5)$, $O(6)$ and $O(7)$ symmetries are expected to be found in the systems with fermion flavor $N_f=2$. Our result also suggests some rich transitions with emergent-$Z_2\times O(2)\times O(3)$ symmetry and so on. Interestingly, in the emergent-$O(4)$ universality class, there is a supersymmetric critical point which is expected to be found in the systems with fermion flavor $N_f=1$.

0 citations0 reviewsNo code linkedOpen access
preprint2022arXiv

Fractional integral operators on the mixed $λ$-central central Morrey spaces

In this paper, the authors define the mixed $λ$-central Morrey spaces and the mixed $λ$-central $BMO$ spaces. The boundedness of the fractional integral operators $T_α$ and its commutators $[b, T_α]$ are established on the mixed $λ$-central Morrey spaces, respectively. Furthermore, we also extend these results to the generalized mixed central Morrey spaces.

0 citations0 reviewsNo code linkedOpen access
preprint2022arXiv

Homogeneous mixed Herz-Morrey spaces and its Applications

In this paper, we introduce homogeneous mixed Herz-Morrey spaces $M\dot{K}_{p,\vec{q}}^{α,λ}(\mathbb{R}^n)$ and show it&#39;s some properties. Firstly, the boundedness of sublinear operators, fractional type operators in homogeneous mixed Herz-Morrey spaces is investigated. In particular, the above results are still valid for Calder$\acute{o}$n-Zygmund operators and fractional maximal operators. Lastly, the boundedness of their commutators in homogeneous mixed Herz-Morrey spaces is obtained.

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preprint2022arXiv

The Köthe dual of mixed Morrey spaces and applications

In this paper, we study the separable and weak convergence of mixed-norm Lebesgue spaces. Furthermore, we prove that the block space $\mathcal{B}_{\vec{p}\,&#39;}^{p&#39;_0}(\mathbb{R}^n)$ is the Köthe dual of the mixed Morrey space $\mathcal{M}_{\vec{p}}^{p_0}(\mathbb{R}^n)$ by the Fatou property of these block spaces. The boundedness of the Hardy--Littlewood maximal function is further obtained on the block space $\mathcal{B}_{\vec{p}\,&#39;}^{p&#39;_0}(\mathbb{R}^n)$. As applications, the characterizations of $BMO(\mathbb{R}^n)$ via the commutators of the fractional integral operator $I_α$ on mixed Morrey spaces are proved as well as the block space $\mathcal{B}_{\vec{p}\,&#39;}^{p&#39;_0}(\mathbb{R}^n)$.

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preprint2022arXiv

The local Morrey-type space Associated with Ball Quasi-Banach Function Spaces and Application

In this paper, we define for the first time the local Morrey-type space associated with ball quasi-Banach function spaces and show the related series of properties. In addition, Hardy-Littlewood maximal operator&#39;s boundedness is proved. We investigate nonsmooth decomposition of the local Morrey-type space associated with ball quasi-Banach function spaces via the Hardy local Morrey-type spaces associated with ball quasi-Banach function spaces. And we consider Hardy operator&#39;s boundedness.

0 citations0 reviewsNo code linkedOpen access
preprint2020arXiv

Critical behavior of QED$_3$--Gross-Neveu-Yukawa Theory in an Arbitrary Gauge

The chiral QED$_3$--Gross-Neveu-Yukawa (QED$_3$-GNY) theory is a $2+1$-dimensional U(1) gauge theory with $N_f$ flavors of four-component Dirac fermions coupled to a scalar field. For $N_f=1$, the specific chiral Ising QED$_3$-GNY model has recently been conjectured to be dual to the deconfined quantum critical point that describes Neel--valence-bond-solid transition of frustrated quantum magnets on square lattice. We study the universal critical behaviors of the chiral QED$_3$-GNY model in $d=4-ε$ dimensions for an arbitrary $N_f$ . We calculate the boson anomalous dimensions, inverse correlation length exponent, as well as the scaling dimensions of nonsinglet fermion bilinear in the chiral QED$_3$-GNY model. The Pad$\acute{e}$ estimates for the exponents are obtained in the chiral Ising-, XY- and Heisenberg-QED$_3$-GNY universality class respectively. We also establish the general condition of the supersymmetric criticality for the ungauged QED$_3$-GNY model. For the conjectured duality between chiral QED$_3$-GNY critical point and deconfined quantum critical point, we find the inverse correlation length exponent has a lower boundary $ν^{-1}>0.75$, beyond which the Ising-QED$_3$-GNY--$\mathbb{C}$P$^1$ duality may hold.

0 citations0 reviewsNo code linkedOpen access
preprint2020arXiv

Fermionic criticality with enlarged fluctuations in Dirac semimetals

The fluctuations-driven continuous quantum criticality has sparked tremendous interest in condensed matter physics. It has been verified that the gapless fermions fluctuations can change the nature of phase transition at criticality. In this paper, we study the fermionic quantum criticality with enlarged Ising$\times$Ising fluctuations in honeycomb lattice materials. The Gross-Neveu-Yukawa theory for the multicriticality between the semimetallic phase and two ordered phases that break Ising symmetry is investigated by employing perturbative renormalization group approach. We first determine the critical range in which the quantum fluctuations may render the phase transition continuous. We find that the Ising criticality is continuous only when the flavor numbers of four-component Dirac fermions $N_f\geq1/4$. Using the $ε$ expansion in four space-time dimensions, we then study the Ising$\times$Ising multicriticality stemming from the symmetry-breaking electronic instabilities. We analyze the underlying fixed-point structure and compute the critical exponents for the Ising$\times$Ising Gross-Neveu-Yukawa universality class. Further, the correlation scaling behavior for the fermion bilinear on the honeycomb lattice at the multicritical point are also briefly discussed.

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preprint2020arXiv

Integrating Boundary Assembling into a DNN Framework for Named Entity Recognition in Chinese Social Media Text

Named entity recognition is a challenging task in Natural Language Processing, especially for informal and noisy social media text. Chinese word boundaries are also entity boundaries, therefore, named entity recognition for Chinese text can benefit from word boundary detection, outputted by Chinese word segmentation. Yet Chinese word segmentation poses its own difficulty because it is influenced by several factors, e.g., segmentation criteria, employed algorithm, etc. Dealt improperly, it may generate a cascading failure to the quality of named entity recognition followed. In this paper we integrate a boundary assembling method with the state-of-the-art deep neural network model, and incorporate the updated word boundary information into a conditional random field model for named entity recognition. Our method shows a 2% absolute improvement over previous state-of-the-art results.

0 citations0 reviewsNo code linkedOpen access
preprint2020arXiv

Parity Anomaly of Lattice Maxwell Fermions in Two Spatial Dimensions

Unconventional lattice fermions with high degeneracies beyond Weyl and Dirac fermions have attracted intensive attention in recent years. In this paper, attention is drawn to the pseudospin-1 Maxwell fermions and the $(2+1)$ dimensional parity anomaly, which goes beyond the scope of &#34;fermion doubling theorem&#34;. We have derived the Hall conductivity of a single Maxwell fermion, and showcased each Maxwell fermion contributes a quantized Hall conductance $e^{2}/h$. We observe that the parity is spontaneously broken in the effective theory of lattice Maxwell fermions interacting with an (auxiliary) $U(1)$ gauge field, leading to an effective anomaly-induced Chern-Simons theory. An interesting observation from the parity anomaly is that the lattice Maxwell fermions beyond the &#34;fermion doubling theorem&#34;, so there exists single Maxwell fermion in a lattice model. In addition, our work indicates the quantum anomaly in odd-dimensional spinor space.

0 citations0 reviewsNo code linkedOpen access