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Mathematics Preprint PDF DOI

Beyond first-order accuracy in continuous-forcing immersed boundary methods, and their well-conditioned projection-based solution

Diederik Beckers, H. Jane Bae, Andres Goza · 2026

We introduce a refined immersed boundary (IB) methodology that is better-than-first-order accurate in practice, while preserving key properties of "continuous-forcing" IB approaches that retain a sing…

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Computer Science Preprint PDF DOI

Claw-Eval-Live: A Live Agent Benchmark for Evolving Real-World Workflows

Chenxin Li, Zhengyang Tang, Huangxin Lin, Yunlong Lin, Shijue Huang, Shengyuan Liu, Bowen Ye, Rang Li, Lei Li, Benyou Wang, Yixuan Yuan · 2026

LLM agents are expected to complete end-to-end units of work across software tools, business services, and local workspaces. Yet many agent benchmarks freeze a curated task set at release time and gra…

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AI & Data Science Preprint PDF DOI

Exponential families from a single KL identity

Marc Dymetman · 2026

Exponential families encompass the distributions central to modern machine learning -- softmax, Gaussians, and Boltzmann distributions -- and underlie the theory of variational inference, entropy-regu…

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Physics Preprint PDF DOI

Mixture-aware closure of the N-phase Navier--Stokes--Cahn--Hilliard mixture model

M.F.P. ten Eikelder, A. Brunk · 2026

Diffuse-interface (phase-field) models are widely used to describe multiphase mixtures and their interfacial dynamics. In multiphase settings, however, the constitutive closure should remain meaningfu…

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Physics Preprint PDF DOI

Sampling two-dimensional spin systems with transformers

Piotr Bia{l}as, Piotr Korcyl, Tomasz Stebel, Adam Stefanski, Dawid Zapolski · 2026

Autoregressive Neural Networks based on dense or convolutional layers have recently been shown to be a viable strategy for generating classical spin systems. Unlike these methods, sampling with transf…

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Physics Preprint PDF DOI

Cahn-Hilliard Phase Field modelling captures nanoscale contact line dynamics on high-friction surfaces

Michele Pellegrino, Parvathy K. Kannan, Gustav Amberg, Shervin Bagheri, Outi Tammisola, Berk Hess · 2026

Incorporating molecular-scale effects in the description of contact line motion is essential for accurately capturing all sources of energy dissipation in wetting dynamics. This holds particularly tru…

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Physics Preprint PDF DOI

To stall-cell or not to stall-cell: Variational data assimilation of 3D mean flow past a stalled airfoil

Uttam Cadambi Padmanaban, Craig Thompson, Bharathram Ganapathisubramani, Sean Symon · 2026

The full-field reconstruction of three-dimensional (3D) turbulent flows from sparse experimental measurements remains a significant challenge, particularly for flows exhibiting complex 3D flow separat…

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Mathematics Preprint PDF DOI

A Systematic Review of Recent Advancements in PINN Augmented Deep Learning and Mathematical Modeling for Efficient Portfolio Management

Bahadur Yadav, Sanjay Kumar Mohanty · 2026

In finance, portfolio management is a traditional yet difficult problem that has drawn attention from practitioners and researchers for many years. However, there are still difficult technological pro…

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Mathematics Preprint PDF DOI

Discontinuous Galerkin IMEX Pressure Correction Scheme for the Poisson-Nernst-Planck-Navier-Stokes Equations

Bikram Bir, Amiya K. Pani · 2026

Based on a discontinuous Galerkin method in the spatial directions and an improved implicit-explicit pressure-correction scheme in the temporal direction, this paper discusses a fully discrete scheme …

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AI & Data Science Preprint PDF DOI

Detecting is Easy, Adapting is Hard: Local Expert Growth for Visual Model-Based Reinforcement Learning under Distribution Shift

Haiyang Zhao · 2026

Visual model-based reinforcement learning (MBRL) agents can perform well on the training distribution, but often break down once the test environment shifts. In visual MBRL, recognizing that a shift h…

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Engineering Preprint PDF DOI

A Real-time Scale-robust Network for Glottis Segmentation in Nasal Transnasal Intubation

Yang Zhou, Chaoyong Zhang, Ruoyi Hao, Huilin Pan, Yang Zhang, Hongliang Ren · 2026

Nasotracheal intubation (NTI) is a critical clinical procedure for establishing and maintaining patient airway patency. Machine-assisted NTI has emerged as a pivotal approach for optimizing procedural…

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Physics Preprint PDF DOI

Compressible Navier--Stokes Flow in Schr\"odinger-Type Variables

James R. Beattie, Max Sokolova, Khush Negandhi, Bart Ripperda · 2026

Fluid equations are nonlinear, dissipative, and non-Hamiltonian, which makes their relation to Schr\"odinger evolution and quantum algorithms nontrivial. We derive an exact Eulerian Cole-Hopf-type ref…

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Engineering Preprint PDF DOI

Optimizing Dynamic Metasurface Antenna Configurations for Direction-of-Arrival and Polarization Estimation Using an Experimentally Calibrated Multiport-Network Model

Jean Tapie, Philipp del Hougne · 2026

Sensing the direction of arrival and polarization of impinging signals is a key prerequisite for beamforming and interference mitigation in modern wireless communication systems. Dynamic metasurface a…

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Mathematics Preprint PDF DOI

Data assimilation for slightly compressible flow

Aytekin C{i}b{i}k, Rui Fang · 2026

Continuous data assimilation (CDA) nudges observational data into governing equations to recover the underlying flow and improve predictions. Existing rigorous CDA analyses focus primarily on incompre…

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Mathematics Preprint PDF DOI

Global weak solutions to a diffuse-interface model for quasi-incompressible two-phase flows with unmatched densities and singular potential

Mingwen Fei, Xiang Fei, Yadong Liu, Hao Wu · 2026

We study a thermodynamically consistent diffuse-interface model that describes the motion of two macroscopically immiscible, incompressible, and viscous Newtonian fluids with unmatched densities. This…

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Computer Science Preprint PDF DOI

DMRlib: Easy-coding and Efficient Resource Management for Job Malleability

Sergio Iserte, Rafael Mayo, Enrique S. Quintana-Orti, Antonio J. Pena · 2026

Process malleability has proved to have a highly positive impact on the resource utilization and global productivity in data centers compared with the conventional static resource allocation policy. H…

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Physics Preprint PDF DOI

A Hybrid Gas-Kinetic Scheme and Discrete Velocity Method for Continuum and Rarefied Flows

Hangkong Wu, Yuze Zhu, Yajun Zhu, Kun Xu · 2026

The gas-kinetic scheme (GKS) provides high computational efficiency and accuracy for continuum flow simulations but is unable to reliably capture rarefaction effects. In contrast, although the discret…

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Mathematics Preprint PDF DOI

On a group ring identity related to the Alon-Jaeger-Tarsi conjecture

Janos Nagy, Peter Pal Pach · 2026

In this note we formulate a conjecture about two group ring identities and prove that it would imply the Alon-Jaeger-Tarsi conjecture.…

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AI & Data Science Preprint PDF DOI

EdgeSpike: Spiking Neural Networks for Low-Power Autonomous Sensing in Edge IoT Architectures

Gustav Olaf Yunus Laitinen-Fredriksson Lundstrom-Imanov, Taner Yilmaz · 2026

We propose EdgeSpike, a co-designed spiking neural network (SNN) framework for autonomous low-power sensing in edge Internet of Things (IoT) architectures. EdgeSpike unifies (i) a hybrid surrogate-gra…

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Computer Science Preprint PDF DOI

Embedded Rust or C Firmware? Lessons from an Industrial Microcontroller Use Case with Ariel OS

Bipin Thapa, Daniele Alfonso, Lorenzo Bini, Licio Mapelli, Kaspar Schleiser, Romain Fouquet, Emmanuel Baccelli · 2026

As Rust gains traction for developing safer systems software, a reality check for the microcontroller hardware segment becomes necessary. How ready is the Rust ecosystem for this segment? Can Rust com…

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