Tootfinder

On cuts of small chromatic number in sparse graphs
Guillaume Aubian, Marthe Bonamy, Romain Bourneuf, Oscar Fontaine, Lucas Picasarri-Arrieta
https://arxiv.org/abs/2510.01791 htt…

On cuts of small chromatic number in sparse graphs
For a given integer $k$, let $\ell_k$ denote the supremum $\ell$ such that every sufficiently large graph $G$ with average degree less than $2\ell$ admits a separator $X \subseteq V(G)$ for which $χ(G[X]) < k$. Motivated by the values of $\ell_1$, $\ell_2$ and $\ell_3$, a natural conjecture suggests that $\ell_k = k$ for all $k$. We prove that this conjecture fails dramatically: asymptotically, the trivial lower bound $\ell_k \geq \tfrac{k}{2}$ is tight. More precisely, we prove that for every…

Wearable and Ultra-Low-Power Fusion of EMG and A-Mode US for Hand-Wrist Kinematic Tracking
Giusy Spacone, Sebastian Frey, Mattia Orlandi, Pierangelo Maria Rapa, Victor Kartsch, Simone Benatti, Luca Benini, Andrea Cossettini
https://arxiv.org/abs/2510.02000

Wearable and Ultra-Low-Power Fusion of EMG and A-Mode US for Hand-Wrist Kinematic Tracking
Hand gesture recognition based on biosignals has shown strong potential for developing intuitive human-machine interaction strategies that closely mimic natural human behavior. In particular, sensor fusion approaches have gained attention for combining complementary information and overcoming the limitations of individual sensing modalities, thereby enabling more robust and reliable systems. Among them, the fusion of surface electromyography (EMG) and A-mode ultrasound (US) is very promising. H…

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A Parallel Ultra-Low Power Silent Speech Interface based on a Wearable, Fully-dry EMG Neckband
Fiona Meier, Giusy Spacone, Sebastian Frey, Luca Benini, Andrea Cossettini
https://arxiv.org/abs/2509.21964

A Parallel Ultra-Low Power Silent Speech Interface based on a Wearable, Fully-dry EMG Neckband
We present a wearable, fully-dry, and ultra-low power EMG system for silent speech recognition, integrated into a textile neckband to enable comfortable, non-intrusive use. The system features 14 fully-differential EMG channels and is based on the BioGAP-Ultra platform for ultra-low power (22 mW) biosignal acquisition and wireless transmission. We evaluate its performance on eight speech commands under both vocalized and silent articulation, achieving average classification accuracies of 87$\pm…

A High Performance GPU CountSketch Implementation and Its Application to Multisketching and Least Squares Problems
Andrew J. Higgins, Erik G. Boman, Ichitaro Yamazaki
https://arxiv.org/abs/2508.14209

A High Performance GPU CountSketch Implementation and Its Application to Multisketching and Least Squares Problems
Random sketching is a dimensionality reduction technique that approximately preserves norms and singular values up to some $O(1)$ distortion factor with high probability. The most popular sketches in literature are the Gaussian sketch and the subsampled randomized Hadamard transform, while the CountSketch has lower complexity. Combining two sketches, known as multisketching, offers an inexpensive means of quickly reducing the dimension of a matrix by combining a CountSketch and Gaussian sketch.…

BioGAP-Ultra: A Modular Edge-AI Platform for Wearable Multimodal Biosignal Acquisition and Processing
Sebastian Frey, Giusy Spacone, Andrea Cossettini, Marco Guermandi, Philipp Schilk, Luca Benini, Victor Kartsch
https://arxiv.org/abs/2508.13728

BioGAP-Ultra: A Modular Edge-AI Platform for Wearable Multimodal Biosignal Acquisition and Processing
The growing demand for continuous physiological monitoring and human-machine interaction in real-world settings calls for wearable platforms that are flexible, low-power, and capable of on-device intelligence. This work presents BioGAP-Ultra, an advanced multimodal biosensing platform that supports synchronized acquisition of diverse electrophysiological and hemodynamic signals such as EEG, EMG, ECG, and PPG while enabling embedded AI processing at state-of-the-art energy efficiency. BioGAP-Ult…

The large-$N$ limit of the topological susceptibility of $\mathrm{SU}(N)$ Yang-Mills theories via Parallel Tempering on Boundary Conditions
Claudio Bonanno
https://arxiv.org/abs/2510.08006

The large-$N$ limit of the topological susceptibility of $\mathrm{SU}(N)$ Yang-Mills theories via Parallel Tempering on Boundary Conditions
I present a large-$N$ determination of the topological susceptibility $χ$ of $\mathrm{SU}(N)$ Yang--Mills theories using non-perturbative numerical Monte Carlo simulations of the lattice-discretized theory for $3\le N \le 6$, and adopting the Parallel Tempering on Boundary Conditions (PTBC) algorithm to bypass topological freezing for $N>3$. Thanks to this algorithm I am able to explore a uniform range of lattice spacing across all values of $N$, and to precisely determine $χ$ for finer latti…