arXiv subjects

Wanli Cheng

Publications and source records attributed to Wanli Cheng.

4 recordsLinked to original sources

arXiv2026

SABER: Stability-Aware Early Exit for LLM Reasoning via Adversarial Branch Probing

Large Reasoning Models (LRMs) achieve strong reasoning capabilities, yet long-chain reasoning becomes inefficient once the intermediate answer stabilizes across reasoning steps: additional reasoning yields little marginal benefit while incurring substantial inference cost. Existing early-exit methods based on confidence or entropy poorly capture reasoning stability, while consistency-based approaches rely on multi-step trajectory agreement, requiring sequential evaluations that delay exit. To better balance efficiency and reliability, we propose SABER, a training-free framework for stability-aware early exit via adversarial branch probing. SABER constructs simple yet effective semantic perturbations around intermediate reasoning states to form adversarial branches, and applies lightweight probing to estimate their likely final outcomes without full trajectory rollouts. When the probed outcomes remain consistent across branches, SABER exits early; otherwise, it continues reasoning. Experiments across multiple reasoning benchmarks and model architectures show that SABER reduces reasoning token consumption by 30.2\%--39.8\% on average while maintaining competitive accuracy with full-length reasoning.

cs.AI↗

arXiv2025

Angular $k$-uniformity and the Hyperinvariance of Holographic Codes

Holographic quantum error-correcting codes, often realized through tensor network architectures, have emerged as compelling toy models for exploring bulk-boundary duality in AdS-CFT. By encoding bulk information into highly entangled boundary degrees of freedom, they capture key features of holography such as subregion duality, operator reconstruction, and complementary recovery. Among them, hyperinvariant tensor networks-characterized by the inclusion of edge tensors and the enforcement of multi-tensor isometries-offer a promising platform for realizing features such as state dependence and nontrivial boundary correlations. However, existing constructions are largely confined to two-dimensional regular tilings, and the structural principles underlying hyperinvariance remain poorly understood, especially in higher dimensions. To address this, we introduce a geometric criterion called angular k-uniformity, which refines standard k-uniformity and its planar variants by requiring isometric behavior within angular sectors of a tensor's rotationally symmetric layout. This condition enables the systematic identification and construction of hyperinvariant holographic codes on regular hyperbolic honeycombs in arbitrary dimension, and extends naturally to heterogeneous networks and qLEGO architectures beyond regular tilings. Altogether, angular k-uniformity provides a versatile, geometry-aware framework for analyzing and designing holographic tensor networks and codes with hyperinvariant features such as nontrivial boundary correlations and state-dependent complementary recovery.

hep-th↗

arXiv2024

KdV Equation for Theta Functions on Non-commutative Tori

In the fields of non-commutative geometry and string theory, quantum tori appear in different mathematical and physical contexts. Therefore, quantized theta functions defined on quantum tori are also studied (Yu. I. Manin, A. Schwartz; note that a comparison between the two definitions of quantum theta is still an open problem). One important application of classical theta functions is in soliton theory. Certain soliton equations, including the KdV equation, have algebro-geometric solutions that are given by theta functions (we refer to F. Gesztesy and H. Holden), and as such belong to an "integrable hierarchy." While quantized integrability is a very active and complicated subject, in this work we take a different, naive approach. We conduct an experiment: using a definition of differentiation on quantum tori (M. Rieffel), we ask whether the quantum theta function satisfies non-linear PDE. The experiment is successful on the 2-torus and for the KdV equation. This opens the way to future investigations, such as the quest for a compatible hierarchy satisfied by quantum theta, and a consistent definition of complete integrability.

math-ph↗

arXiv2016

Finite stopping times for freely oscillating drop of a yield stress fluid

The paper addresses the question if there exists a finite stopping time for an unforced motion of a yield stress fluid with free surface. A variation inequality formulation is deduced for the problem of yield stress fluid dynamics with a free surface. Free surface is assumed to evolve with a normal velocity the flow. We also consider capillary forces acting along the free surface. Based on the variational inequality formulation an energy equality is obtained, where kinetic and free energy rate of change is in a balance with the internal energy viscoplastic dissipation and the work of external forces. Further, the paper considers free small-amplitude oscillations of a droplet of Herschel-Bulkley fluid under the action of surface tension forces. Under certain assumptions it is shown that the finite stopping time $T_f$ of oscillations exists once the yield stress parameter is positive and the flow index $α$ satisfies ($α\ge1$). Results of several numerical experiments illustrate the analysis, reveal the dependence of $T_f$ on problem parameters and suggest an instantaneous transition of the whole drop from yielding state to the rigid one.

physics.flu-dyn↗