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Jingzhe Xu

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Published work

4 published item(s)

preprint2026arXiv

PrepBench: How Far Are We from Natural-Language-Driven Data Preparation?

Data preparation is a central and time-consuming stage in data analysis workflows. Traditionally, commercial tools have relied on graphical user interfaces (GUIs) to simplify data preparation, allowing users to define transformations through visual operators and workflows. Recent advances in large language models (LLMs) raise the possibility of a paradigm shift toward natural language (NL)-driven data preparation, in which users can specify preparation intents in NL directly. However, it remains unclear how far current LLM-based agents are from this paradigm shift in practice. Existing code generation benchmarks do not capture key characteristics of data preparation, including ambiguous user intents, imperfect real-world data, and the need to translate code into interpretable workflows for validation. To bridge this gap, we present PrepBench, a benchmark designed to evaluate NL-driven data preparation along three core capabilities: interactive disambiguation, prep-code generation, and code-to-workflow translation. We crawl data from the Preppin' Data Challenges, and then extend it into a systematically designed benchmark. The benchmark covers diverse domains, and each task involves 3 to 18 data preparation steps. Nearly half of the tasks require over 100 lines of Python code, and the longest solutions approach 300 lines. Our evaluation shows that, despite recent progress, realizing this paradigm shift remains challenging for state-of-the-art LLMs. PrepBench provides a principled benchmark for measuring this gap and helps identify key challenges toward realizing NL-driven data preparation.

preprint2016arXiv

A new method to prove the irreducibility of the eigenspace representations for Rn semidirect with a finite pseudo-reflection group

We show that the Eigenspace Representations for $\mathbb{R}^{n}$ semidirect with a finite pseudo-reflection group $K$, which satisfy some generic property are equivalent to the induced representations from $\mathbb{R}^{n}$ to $\mathbb{R}^{n} \rtimes K$, which satisfy the same property by Mackey little group method.And the proof of the equivalence is by using matrix coefficients and invariant theory.As a consequence, these eigenspace representations are irreducible.

preprint2016arXiv

Spectra for Gelfand pairs associated with the free two step nilpotent lie group

Let $F(n)$ be a connected and simply connected free 2-step nilpotent lie group and $K$ be a compact subgroup of Aut($F(n)$). We say that $(K,F(n))$ is a Gelfand pair when the set of integrable $K$-invariant functions on $F(n)$ forms an abelian algebra under convolution. In this paper, we consider the case when $K=O(n)$. In [1], we know the only possible Galfand pairs for $(K,F(n))$ is $(O(n),F(n))$, $(SO(n),F(n))$. So we just consider the case $(O(n),F(n))$, the other case can be obtained in the similar way.We study the natural topology on $Δ(O(n),F(n))$ given by uniform convergence on compact subsets in $F(n)$. We show $Δ(O(n),F(n))$ is a complete metric space. Our main result gives a necessary and sufficient result for the sequence of the "type 1" bounded $O(n)$-spherical functions uniform convergence to the "type 1" bounded $O(n)$-spherical function on compact sets in $F(n)$. What's more, the "type 1" bounded $O(n)$-spherical functions are dense in $Δ(O(n),F(n))$. Further, we define the Fourier transform according to the "type 2" bounded $O(n)$-spherical functions and gives some basic properties of it.

preprint2016arXiv

The bounded spherical functions on the Cartan Motion group and Generalizations for the eigenspaces of the Laplacian on Rn

The bounded spherical functions are determined for a real Cartan Motion group which is a generalization for the case when the Cartan Motion group is complex written by Helgason Sigurdur . Also, I will do a further step of the Laplacian on R n . I consider the case when K is transitive on the spheres about 0 in Rn ,n > 1