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20 results for “Polynomial preconditioning”

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cs.LGcs.AIEmpiricalRecentJun 4, 2026

PC Layer: Polynomial Weight Preconditioning for Improving LLM Pre-Training

Senmiao Wang, Tiantian Fang, Haoran Zhang, Yushun Zhang +3 more

This paper proposes a preconditioning layer for stable weight conditioning in LLM training.

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cs.LGcs.AIRecentJun 1, 2026

FOAM: Frequency and Operator Error-Based Adaptive Damping Method for Reducing Staleness-Oriented Error for Shampoo

Kyunghun Nam, Sumyeong Ahn

The paper proposes FOAM, an adaptive damping method that stabilizes the Shampoo optimization algorithm by dynamically controlling damping and eigendecomposition frequency, thereby reducing staleness-i…

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cs.LGcs.CEmath.NARecentMay 27, 2026

History-aware adaptive reduced-order models via incremental singular value decomposition

Amirpasha Hedayat, Ali Mohaghegh, Laura Balzano, Cheng Huang +1 more

The paper introduces a history-aware adaptive Reduced-Order Model (ROM) framework using incremental Singular Value Decomposition (iSVD) that maintains accuracy for online dynamics far beyond the initi…

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eess.SYcs.CRmath.OCRecentMar 19, 2026

Variational Encrypted Model Predictive Control

Jihoon Suh, Yeongjun Jang, Junsoo Kim, Takashi Tanaka

The paper introduces a Variational Encrypted Model Predictive Control (VEMPC) protocol that enables online MPC execution using only encrypted polynomial operations, eliminating the need for intermedia…

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math.NAcs.CEmath-phRecentMay 28, 2026

Multifidelity Proper Orthogonal Decomposition

Nicole Aretz, Karen Willcox

The paper introduces Multifidelity Proper Orthogonal Decomposition (MFPOD), a method that significantly reduces the computational cost of dimension reduction by intelligently combining data from cheap…

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math.NAcs.CEcs.LGRecentJun 1, 2026

Physics-Informed Residuals for Adaptive Mesh Refinement in Finite-Difference PDE Solvers

Henry Kasumba, Ronald Katende

The paper proposes using a Physics-Informed Neural Network (PINN) residual as an efficient, physics-guided indicator to guide adaptive mesh refinement (AMR) for classical finite-difference PDE solvers…

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cs.AImath.OCRecentJun 1, 2026

Stochastic convergence of parallel asynchronous adaptive first-order methods

Serge Gratton, Philippe L. Toint

The paper analyzes a new class of asynchronous adaptive first-order optimization methods and proves their stochastic convergence rate is O(1/sqrt{t}) for non-convex functions.

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cs.LGcs.AIRecentMay 27, 2026

Learning Theory of the SVRG: Generalization and Convergence Analysis

Yunwen Lei, Zimeng Wang, Xiaoming Yuan

This paper provides the first non-vacuous generalization analysis for the Stochastic Variance Reduced Gradient (SVRG) method by establishing sharp, data-dependent algorithmic stability bounds, thereby…

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cs.CCeess.SYmath.AGRecentMay 29, 2026

Verifying global identifiability of parametric linear ODE models is NP-hard

Alexey Ovchinnikov, Pedro Soto

This paper determines that verifying global parameter identifiability for linear ODE models is an NP-hard problem, establishing a computational complexity boundary for the field.

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cs.CEmath.NARecentMay 29, 2026

A non-intrusive approach to index-aware learning

Peter Förster, Idoia Cortes Garcia, Wil Schilders, Sebastian Schöps

The paper introduces a non-intrusive variant of index-aware learning for solving differential-algebraic equations (DAEs), ensuring that learned solutions maintain physical consistency like Kirchhoff's…

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quant-phcs.CRmath.CORecentMay 17, 2026

Module Lattice Security (Part IV): Probabilistic Polynomial Quantum Attack on Module-LWE over 2-Power Cyclotomics

Ming-Xing Luo

This paper presents a quantum attack on Module-LWE based lattice schemes like ML-KEM, demonstrating a polynomial-time quantum algorithm with a high success probability.

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cs.DScs.CRmath.NTRecentMay 17, 2026

Module Lattice Security (Part III): Structured CVP Distance on the Log-Unit Lattice

Ming-Xing Luo

The paper analyzes the structured CVP distance on the log-unit lattice of cyclotomic fields, significantly reducing the conjectured CDPR factor for the ML-KEM cryptosystem from exponential to sub-poly…

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cs.AIRecentMay 28, 2026

Quantifying and Optimizing Simplicity via Polynomial Representations

Tianren Zhang, Xiangxin Li, Minghao Xiao, Guanyu Chen +1 more

The paper introduces polynomial representations as a quantitative, distribution-aware metric for measuring model simplicity, demonstrating that the effective degree of this representation is a superio…

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cs.CCcs.DSRecentMay 30, 2026

Search-space Reduction for Boolean MinCSPs via Essential Constraints

Bart M. P. Jansen, Ruben F. A. Verhaegh

The paper introduces a method to efficiently detect 'essential' constraints in Boolean MinCSPs, significantly reducing the search space for solving these problems and providing a dichotomy theorem for…

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cs.CVcs.CRRecentMay 5, 2026

A Deeper Dive into the Irreversibility of PolyProtect: Making Protected Face Templates Harder to Invert

Vedrana Krivokuća Hahn, Jérémy Maceiras, Sébastien Marcel

The paper enhances the security of the PolyProtect biometric template protection method by proposing a key selection algorithm that significantly increases the difficulty of inverting protected face t…

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cs.CERecentMay 29, 2026

On limitations of polyconvexity

Dominik K. Klein, Rogelio Ortigosa, Heinrich T. Roth, Karl A. Kalina +3 more

This paper investigates the limitations of polyconvex constitutive modeling, showing that while theoretically appealing, it can impose overly restrictive constraints and perform poorly in reproducing…

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cs.LGcs.CEmath.NARecentMay 31, 2026

Cellular Sheaf Neural Operators for Structure-Preserving Surrogate Modeling of Constrained PDEs

Lennon J. Shikhman, Shane Gilbertie

The paper introduces Cellular Sheaf Neural Operators, a discretization-aware framework that models constrained PDEs by representing physical states on oriented cell complexes to enforce structure-pres…

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cs.LGcs.AIRecentMay 28, 2026

HARP: Hadamard-Preconditioned Adaptive Rotation Processor for Extreme LLM Quantization

Artur Zagitov, Gleb Molodtsov, Aleksandr Beznosikov

HARP introduces a novel, adaptive, learnable orthogonal processor that significantly improves the robustness and accuracy of extreme low-bit LLM quantization compared to fixed methods.

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cs.CERecentMay 31, 2026

MsFEM-Inspired CNNs with Transfer Learning for Multiscale Model Reduction

Xuehan Zhang, Lijian Jiang, Eric T. Chung

The paper proposes MITL, an MsFEM-inspired transfer learning strategy for CNN-based reduced-order models, enabling efficient and adaptable approximation of multiscale systems with minimal retraining.

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cs.NEcs.CRRecentMay 20, 2026

Privacy-Preserving Distributed Optimization Under Time Constraints Using Secure Multi-Party Computation and Evolutionary Algorithms

Sebastian Gruber, Tobias Harzfeld, Christoph G. Schuetz, Florian Wohner +1 more

The paper proposes a novel framework combining evolutionary algorithms and Secure Multi-Party Computation (MPC) to enable privacy-preserving distributed optimization that meets strict time deadlines.

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