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arXiv Preprints
Artificial intelligence for partial differential equations in computational mechanics: A review
In recent years, Artificial intelligence (AI) has become ubiquitous, empowering various fields, especially integrating artificial intelligence and traditional science (AI for Science: Artificial intelligence for science), which has attracted widespre...
eess:eess:SYcs:cs:SYcs:cs:LG
arXiv Preprints
RealCQA-V2: A Diagnostic Benchmark for Structured Visual Entailment over Scientific Charts
Multimodal reasoning models often produce fluent answers supported by seemingly coherent rationales. Existing benchmarks evaluate only final-answer correctness. They do not support atomic visual entailment verification of intermediate steps, especial...
cs:cs:AI
arXiv Preprints
Replay-Free Continual Low-Rank Adaptation with Dynamic Memory
We revisit continual learning~(CL), which enables pre-trained vision transformers (ViTs) to sequentially fine-tune on new downstream tasks over time. However, as the scale of these models increases, catastrophic forgetting remains a more serious chal...
cs:cs:CVcs:cs:LG
arXiv Preprints
The hockey-stick conjecture for activated random walk
We prove a conjecture of Levine and Silvestri that the driven-dissipative activated random walk model on an interval drives itself directly to and then sustains a critical density. This marks the first rigorous confirmation of a sandpile model behavi...
math:math:PRphysics:cond-mat:stat-mech
arXiv Preprints
Equivariant sheaves for classical groups acting on Grassmannians
Let $V$ be a finite-dimensional complex vector space. Assume that $V$ is a direct sum of subspaces each of which is equipped with a nondegenerate symmetric or skew-symmetric bilinear form. In this paper, we introduce a stratification of the Grassmann...
math:math:RT
arXiv Preprints
LOGSAFE: Logic-Guided Verification for Trustworthy Federated Time-Series Learning
This paper introduces LOGSAFE, a defense mechanism for federated learning in time series settings, particularly within cyber-physical systems. It addresses poisoning attacks by moving beyond traditional update-similarity methods and instead using log...
cs:cs:CRcs:cs:AIcs:cs:DCcs:cs:LO
arXiv Preprints
Quantum geometric tensor determines the pure-state i.i.d. conversion rate in the resource theory of asymmetry for any compact Lie group
Quantifying physical concepts in terms of the ultimate performance of a given task has been central to theoretical progress, as illustrated by thermodynamic entropy and entanglement entropy, which respectively quantify irreversibility and quantum cor...
physics:quant-phphysics:cond-mat:stat-mech
arXiv Preprints
Dichotomies uniform on subspaces and formulas for dichotomy spectra
In this note we introduce a notion of dichotomy which generalizes the classical concept of exponential dichotomy and the recent notion of Bohl dichotomy. A key attribute is the discussion of the sets of subspaces of the state space on which the dicho...
math:math:DSmath:math:FA
arXiv Preprints
A Systematic Review of Empirical Research on Graphing Numerical Data in K-12 STEM Education
Graphs are essential representations in the professions and education concerning the science, technology, engineering, and mathematics (STEM) disciplines. Beyond their academic relevance, graphs find extensive utility in everyday scenarios, ranging f...
physics:physics:ed-ph
arXiv Preprints
Oscillations of random multiplicative functions under initial bias
We prove that if $f$ is a random completely multiplicative function, conditional $f(p)=1$ for each prime $p \le (\log x)^{2-ε}$, the probability that $\sum_{1\le n \le N}f(n)\ge 0$ for all $N\le x$ is $o(1)$ as $x \rightarrow \infty$. This solves a ...
math:math:NTmath:math:PR
arXiv Preprints
Physically Interpretable Probabilistic Domain Characterization
Characterizing domains is essential for models analyzing dynamic environments, as it allows them to adapt to evolving conditions or to hand the task over to backup systems when facing conditions outside their operational domain. Existing solutions ty...
cs:cs:CVcs:cs:AIcs:cs:LGeess:eess:IV
arXiv Preprints
The hot gas mass fraction in halos. From Milky Way-like groups to massive clusters
By using eROSITA data in the eFEDS area, we provide a measure of the hot gas fraction vs. halo mass relation over the largest halo mass range, from Milky Way-sized halos to massive clusters, and to the largest radii ever probed so far in local system...
physics:astro-ph:GAphysics:astro-ph:HE
arXiv Preprints
Smart Contract Vulnerabilities, Tools, and Benchmarks: an Updated Systematic Literature Review
Smart contracts are self-executing programs on blockchain platforms like Ethereum, which have revolutionized decentralized finance by enabling trustless transactions and the operation of decentralized applications. Despite their potential, the securi...
cs:cs:SE
arXiv Preprints
Foundations of the Theory of Performance-Based Ranking
Ranking entities such as algorithms, devices, methods, or models based on their performances, while accounting for application-specific preferences, is a challenge. To address this challenge, we establish the foundations of a universal theory for per...
cs:cs:LGcs:cs:CVcs:cs:PF
arXiv Preprints
Unsupervised Hyperspectral Image Super-Resolution via Self-Supervised Modality Decoupling
Fusion-based hyperspectral image super-resolution aims to fuse low-resolution hyperspectral images (LR-HSIs) and high-resolution multispectral images (HR-MSIs) to reconstruct high spatial and high spectral resolution images. Current methods typically...
eess:eess:IVcs:cs:CV
arXiv Preprints
The non-stabilizerness of fermionic Gaussian states
We introduce an efficient method to quantify nonstabilizerness in fermionic Gaussian states, overcoming the long-standing challenge posed by their extensive entanglement. Using a perfect sampling scheme based on an underlying determinantal point proc...
physics:quant-phphysics:cond-mat:quant-gasphysics:cond-mat:stat-mech
arXiv Preprints
Late-time tails in nonlinear evolutions of merging black holes
We uncover late-time gravitational-wave tails in fully nonlinear 3+1 dimensional numerical relativity simulations of merging black holes, using the highly accurate SpEC code. We achieve this result by exploiting the strong magnification of late-time ...
physics:gr-qcphysics:hep-thphysics:math-phmath:math:MP
arXiv Preprints
On two families of Enriques categories over K3 surfaecs
This article studies the moduli spaces of semistable objects related to two families of Enriques categories over K3 surfaces, coming from quartic double solids and special Gushel-Mukai threefolds. In particular, some classic geometric constructions a...
math:math:AG
arXiv Preprints
Manta: Enhancing Mamba for Few-Shot Action Recognition of Long Sub-Sequence
In few-shot action recognition (FSAR), long sub-sequences of video naturally express entire actions more effectively. However, the high computational complexity of mainstream Transformer-based methods limits their application. Recent Mamba demonstrat...
cs:cs:CV
arXiv Preprints
Paired Wasserstein Autoencoders for Conditional Sampling
Generative autoencoders learn compact latent representations of data distributions through jointly optimized encoder--decoder pairs. In particular, Wasserstein autoencoders (WAEs) minimize a relaxed optimal transport (OT) objective, where similarity ...
cs:cs:LGstat:stat:ML