Tootfinder

Learning quadratic neural networks in high dimensions: SGD dynamics and scaling laws
G\'erard Ben Arous, Murat A. Erdogdu, N. Mert Vural, Denny Wu
https://arxiv.org/abs/2508.03688

Learning quadratic neural networks in high dimensions: SGD dynamics and scaling laws
We study the optimization and sample complexity of gradient-based training of a two-layer neural network with quadratic activation function in the high-dimensional regime, where the data is generated as $y \propto \sum_{j=1}^{r}λ_j σ\left(\langle \boldsymbol{θ_j}, \boldsymbol{x}\rangle\right), \boldsymbol{x} \sim N(0,\boldsymbol{I}_d)$, $σ$ is the 2nd Hermite polynomial, and $\lbrace\boldsymbolθ_j \rbrace_{j=1}^{r} \subset \mathbb{R}^d$ are orthonormal signal directions. We consider the ex…

Model Order Reduction for Large-scale Circuits Using Higher Order Dynamic Mode Decomposition
Na Liu, Chengliang Dai, Qiuyue Wu, Qiuqi Li, Guoxiong Cai
https://arxiv.org/abs/2508.03131

Model Order Reduction for Large-scale Circuits Using Higher Order Dynamic Mode Decomposition
Model order reduction (MOR) has long been a mainstream strategy to accelerate large-scale transient circuit simulation. Dynamic Mode Decomposition (DMD) represents a novel data-driven characterization method, extracting dominant dynamical modes directly from time-domain simulation data without requiring explicit system equations. This paper first deduces the DMD algorithm and then proposes high order dynamic mode decomposition (HODMD) incorporating delayed embedding technique, specifically targ…

Période : Tout le week-end.
Dates : samedi 07 et dimanche 08 juin.
Le trafic est interrompu entre Viroflay RG et Saint-Quentin en Yvelines.
Report : Ligne N ou lignes de bus de ville 169 et 171.
Les horaires du calculateur d'itinéraire tiennent compte des travaux.
Motif : travaux sur le réseau ferroviaire.
#Info_Travaux
🤖 07/06 03:00

Electromagnetism: an intrinsic approach to Hadamard's method of descent
Giuliano Angelone, Elisa Ercolessi, Paolo Facchi, Rocco Maggi, Giuseppe Marmo, Saverio Pascazio, Francesco V. Pepe
https://arxiv.org/abs/2506.05255

Electromagnetism: an intrinsic approach to Hadamard's method of descent
We present a systematic geometric framework for the dimensional reduction of classical electromagnetism based on the concept of descent along vector fields of invariance. By exploring the interplay between the Lie derivative and the Hodge star operator, we implement descent conditions on differential forms that reduce Maxwell's equations in four-dimensional spacetime to electromagnetic theories in lower dimensions. We also consider multiple descent along pairwise commuting vector fields of inva…

Detectability of compact intermediate-mass black hole binaries as low-frequency gravitational wave sources: the influence of dynamical friction of dark matter
Wen-Qing Jia, Wen-Cong Chen
https://arxiv.org/abs/2508.03582

Detectability of compact intermediate-mass black hole binaries as low-frequency gravitational wave sources: the influence of dynamical friction of dark matter
The black hole (BH) spin could significantly change the density of dark matter (DM) in its vicinity, creating a mini-spike of the density of DM. The dynamical friction (DF) between DM and the companion star of a BH can provide an efficient loss of angular momentum, driving the BH-main sequence (MS) star binary to evolve toward a compact orbit system. We investigate the influence of the DF of DM on the detectability of intermediate-mass black hole (IMBH)-MS binaries as low-frequency gravitationa…

NANDA Adaptive Resolver: Architecture for Dynamic Resolution of AI Agent Names
John Zinky, Hema Seshadri, Mahesh Lambe, Pradyumna Chari, Ramesh Raskar
https://arxiv.org/abs/2508.03113

NANDA Adaptive Resolver: Architecture for Dynamic Resolution of AI Agent Names
AdaptiveResolver is a dynamic microservice architecture designed to address the limitations of static endpoint resolution for AI agent communication in distributed, heterogeneous environments. Unlike traditional DNS or static URLs, AdaptiveResolver enables context-aware, real-time selection of communication endpoints based on factors such as geographic location, system load, agent capabilities, and security threats. Agents advertise their Agent Name and context requirements through Agent Fact c…

Global solvability for doubly degenerate nutrient taxis system with a wide range of bacterial responses in physical dimension
Bao-Ngoc Tran, Juan Yang
https://arxiv.org/abs/2508.03268

Global solvability for doubly degenerate nutrient taxis system with a wide range of bacterial responses in physical dimension
Motivated by the study of bacteria's response to environmental conditions, we consider the doubly degenerate nutrient taxis system \begin{align*} \begin{cases} u_t=\nabla\cdot(uv\nabla u)-χ\nabla\cdot(u^αv\nabla v)+\ell uv,\\ v_t=Δv-uv, \end{cases} \end{align*} subjected to no-flux boundary conditions and smooth initial data, where $α\in\mathbb{R}$ is the bacterial response parameter. Global solvability of weak solutions to this taxis system is highly challenging due to not only the doubly …

Popescu-Rohrlich box fraction of dimensionally restricted nonlocality and secure quantum key distribution
Chellasamy Jebarathinam
https://arxiv.org/abs/2507.02473

Popescu-Rohrlich box fraction of dimensionally restricted nonlocality and secure quantum key distribution
With a measure of dimensionally restricted nonlocality in the bipartite Bell scenario with two inputs and two outputs, a different decomposition of any nonsignaling box that is a convex mixture of a single Popescu-Rohrlich box and a Bell-local box, with the measure being zero, is introduced. It is shown that any nonsignaling box shared by Alice and Bob that has dimensionally restricted nonlocality contains secret correlations against any third party, Eve, who is also dimensionally restricted. I…

Discharge dynamics in a cylindrical SDBD prototype reactor under ns-pulsed and sinusoidal AC operation
Konstantinos Giotis (HVL, ECE, LSPM), Dimitrios Stefas (LSPM), Yanis Agha (LSPM), Hans H\"oft (INP), Xavier Duten (LSPM), Panagiotis Svarnas (HVL, ECE), Guillaume Lombardi (LSPM), Kristaq Gazeli (LSPM)
https://arxiv.org/ab…

Discharge dynamics in a cylindrical SDBD prototype reactor under ns-pulsed and sinusoidal AC operation
We developed a prototype reactor generating surface dielectric barrier discharges (SDBDs) in ambient air, designed for consistent operation while preventing constructive material degradation. It features detachable stainless steel electrodes and quartz dielectric to ensure precise fabrication. The grounded electrode is fully immersed into transformer oil drastically suppressing undesired parasitic discharges. The device efficiently sustains ns-pulsed and AC discharges at 10 kHz, enabling fundam…

The Hashed Fractal Key Recovery (HFKR) Problem: From Symbolic Path Inversion to Post-Quantum Cryptographic Keys
Mohamed Aly Bouke
https://arxiv.org/abs/2506.04383

The Hashed Fractal Key Recovery (HFKR) Problem: From Symbolic Path Inversion to Post-Quantum Cryptographic Keys
Classical cryptographic systems rely heavily on structured algebraic problems, such as factorization, discrete logarithms, or lattice-based assumptions, which are increasingly vulnerable to quantum attacks and structural cryptanalysis. In response, this work introduces the Hashed Fractal Key Recovery (HFKR) problem, a non-algebraic cryptographic construction grounded in symbolic dynamics and chaotic perturbations. HFKR builds on the Symbolic Path Inversion Problem (SPIP), leveraging symbolic tr…