Tootfinder

Distributional encoding for Gaussian process regression with qualitative inputs
S\'ebastien Da Veiga (ENSAI, CREST, RT-UQ)
https://arxiv.org/abs/2506.04813

Distributional encoding for Gaussian process regression with qualitative inputs
Gaussian Process (GP) regression is a popular and sample-efficient approach for many engineering applications, where observations are expensive to acquire, and is also a central ingredient of Bayesian optimization (BO), a highly prevailing method for the optimization of black-box functions. However, when all or some input variables are categorical, building a predictive and computationally efficient GP remains challenging. Starting from the naive target encoding idea, where the original categor…

This https://arxiv.org/abs/2409.08740 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Another look at qualitative properties of eigenvalues using effective Hamiltonians
The goal of this paper is to review several qualitative properties of well-known eigenvalue problems using a different perspective based on the theory of effective Hamiltonians, working exclusively on the Hopf-Cole transform of the equation. We revisit some monotonicity results as well as the derivation of several scaling limits by means of the Donsker-Varadhan formula, and we point out several differences between the case of quadratic Hamiltonians and non-quadratic ones.

This https://arxiv.org/abs/2504.06212 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLG_…

NNN: Next-Generation Neural Networks for Marketing Measurement
We present NNN, an experimental Transformer-based neural network approach to marketing measurement. Unlike Marketing Mix Models (MMMs) which rely on scalar inputs and parametric decay functions, NNN uses rich embeddings to capture both quantitative and qualitative aspects of marketing and organic channels (e.g., search queries, ad creatives). This, combined with its attention mechanism, potentially enables NNN to model complex interactions, capture long-term effects, and improve sales attributi…

Quasi-equivalence of Gaussian states and energy estimates for functions of modular Hamiltonians
Adriano Chialastri, Ko Sanders
https://arxiv.org/abs/2506.03907

Quasi-equivalence of Gaussian states and energy estimates for functions of modular Hamiltonians
To compare two Gaussian states of the Weyl-CCR algebra of a free scalar QFT we study three closely related perspectives: (i) quasi-equivalence of the GNS-representations, (ii) differences of the total energy (on some Cauchy surface), and (iii) differences between functions of the modular Hamiltonians. (For perspective (ii) we will only consider real linear free scalar quantum fields on ultrastatic spacetimes.) These three perspectives are known to be related qualitatively, due to work of Araki …

Survey on the Evaluation of Generative Models in Music
Alexander Lerch, Claire Arthur, Nick Bryan-Kinns, Corey Ford, Qianyi Sun, Ashvala Vinay
https://arxiv.org/abs/2506.05104

Survey on the Evaluation of Generative Models in Music
Research on generative systems in music has seen considerable attention and growth in recent years. A variety of attempts have been made to systematically evaluate such systems. We provide an interdisciplinary review of the common evaluation targets, methodologies, and metrics for the evaluation of both system output and model usability, covering subjective and objective approaches, qualitative and quantitative approaches, as well as empirical and computational methods. We discuss the advantage…

This https://arxiv.org/abs/2408.01720 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Stability and quasinormal modes for black holes with time-dependent scalar hair
We investigate black hole solutions with time-dependent (scalar) hair in scalar-tensor theories. Known exact solutions exist for such theories at the background level, where the metric takes on a standard GR form (e.g. Schwarzschild-de Sitter), but these solutions are generically plagued by instabilities. Recently, a new such solution was identified in arXiv:2310.11919, in which the time-dependent scalar background profile is qualitatively different from previous known exact solutions - specifi…

In his presentation "Exploring and Visualizing Italian Advertising Fliers and Posters through an Iconographical Lens with Linked Open Data" Bruno Sartini is demonstrating how to bridge traditional art historical methods with computational approaches by using structured iconographical data to empirically validate qualitative findings from cultural studies.
paper:

"Was mein brennender Staubsauger über den Niedergang der USA erzählt"
Überraschend kurzweiliger Artikel zum Thema Handelsüberschuss der USA. Der Artikel rückt das Thema Bildung in den Mittelpunkt bzgl. der Ursache warum der besagte Staubsauger in Flammen aufgeht und einiger weiterer Anekdoten.
Was an den Wasserboiler kaputt sein kann, ist mir dagegen nicht klar. Geschlossenes System verliert Wasser?

US-Produkte: Was mein brennender Staubsauger über den Niedergang der USA erzählt
Donald Trump findet: Europäer müssen mehr US-Produkte kaufen. Habe ich gemacht. Will er mal meine Spülmaschine hören? Oder den Kühlschrank?

A General Approach to the Shape Transition of Run-and-Tumble Particles: The 1D PDMP Framework for Invariant Measure Regularity
Leo Hahn
https://arxiv.org/abs/2506.02274

A General Approach to the Shape Transition of Run-and-Tumble Particles: The 1D PDMP Framework for Invariant Measure Regularity
Run-and-tumble particles (RTPs) have emerged as a paradigmatic example for studying nonequilibrium phenomena in statistical mechanics. The invariant measure of a wide class of RTPs subjected to a potential possesses a density, which is continuous when tumble rates are high and discontinuous when they are low. This key feature is known as shape transition. By comparison with the Boltzmann distribution characteristic of thermodynamic equilibrium, this constitutes a qualitative indicator of the re…

This https://arxiv.org/abs/2407.15742 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

New solutions for the Lane-Emden problem on planar domains
We consider the Lane-Emden problem on planar domains. When the exponent is large, the existence and multiplicity of solutions strongly depend on the geometric properties of the domain, which also deeply affect their qualitative behavior. Remarkably, a wide variety of solutions, both positive and sign-changing, have been found when the exponent is sufficiently large. In this paper, we focus on this topic and fine new sign-changing solutions that exhibit an unexpected concentration phenomenon as …