Sheng Guo

collaborators

8 papers

cs.AI2026

DUDA-Bench: Benchmarking LLM Agents on Multimodal Data-Driven Urban Diagnosis

Yizhi Song, Hang Ni, Weijia Zhang +1

Urban diagnosis integrates heterogeneous observations to identify urban problems, localize affected areas, and investigate contributing factors, informing evidence-based urban plan…

cs.DS2026

Vector Balancing in Polynomial Time

Shengtao Guo, Ethan X. Fang, Junwei Lu

We present a spectral signing algorithm solving the Komlós problem with a constant discrepancy in polynomial time. Given a matrix $A \in R^{m \times n}$ whose columns have Eu…

math.CO2026

Vector Balancing via Directional Total Variation

Shengtao Guo, Ethan X. Fang, Junwei Lu

Our main result is a $3 2 π$ bound for the Komlós signing problem: every finite family of real vectors of Euclidean norm at most one admits a signed sum of $ℓ_{\infty}$ -norm…

math.FA2026

An Improved Lower Bound for the Complex Grothendieck Constant

Shengtao Guo, Ethan X. Fang, Junwei Lu

We prove $K_{G}^{C} > 1.35584631827168$ for the classical complex Grothendieck constant, closing more than one quarter of the gap between Davie's lower bound and Haagerup's up…

math.CO2026

On Unavoidable Faces of High-Dimensional Polytopes

Jesús A. De Loera, Ethan X. Fang, Shengtao Guo +2

Kalai's cube--simplex conjecture asserts that for all positive integers $ℓ, k$ , there is an integer $f (ℓ, k)$ such that every polytope of dimension at least $f (ℓ, k)$ has eit…

math.GM2026

A Complex Structure on $S^{2} \times S^{4}$

Shengtao Guo, Ethan X. Fang, Junwei Lu

We show that $S^{2} \times S^{4}$ admits a complex structure. Starting from a modular family of complex two-tori associated with the $(3, 4, \infty)$ triangle group and the compactificati…

math.DG2026

A Metric with Positive Sectional Curvature on $S^{2} \times S^{3}$

Shengtao Guo, Ethan X. Fang, Junwei Lu

We prove that $S^{2} \times S^{3}$ admits a Riemannian metric with positive sectional curvature. We view it as a principal circle bundle over $S^{2} \times S^{2}$ . A diagonal Cheeger deforma…

math.PR2026

Weak-Type Bounds for Convolution on the Boolean Hypercube

Junwei Lu, Shengtao Guo, Ethan X. Fang

Let $G$ be the Boolean hypercube which carries uniform measure $λ$ , and let $T_{μ}$ denote convolution by a finite positive measure $μ$ on $G$ . For $ψ_μ(u)=\sup\{uλ(\{T_μf\geq u\}):f…

DUDA-Bench: Benchmarking LLM Agents on Multimodal Data-Driven Urban Diagnosis

Vector Balancing in Polynomial Time

Vector Balancing via Directional Total Variation

An Improved Lower Bound for the Complex Grothendieck Constant

On Unavoidable Faces of High-Dimensional Polytopes

A Complex Structure on S2×S4

A Metric with Positive Sectional Curvature on S2×S3

Weak-Type Bounds for Convolution on the Boolean Hypercube

A Complex Structure on $S^{2} \times S^{4}$

A Metric with Positive Sectional Curvature on $S^{2} \times S^{3}$