Tootfinder

Modified Loss of Momentum Gradient Descent: Fine-Grained Analysis
Matias D. Cattaneo, Boris Shigida
https://arxiv.org/abs/2509.08483 https://arxiv.org/pdf/…

Modified Loss of Momentum Gradient Descent: Fine-Grained Analysis
We analyze gradient descent with Polyak heavy-ball momentum (HB) whose fixed momentum parameter $β\in (0, 1)$ provides exponential decay of memory. Building on Kovachki and Stuart (2021), we prove that on an exponentially attractive invariant manifold the algorithm is exactly plain gradient descent with a modified loss, provided that the step size $h$ is small enough. Although the modified loss does not admit a closed-form expression, we describe it with arbitrary precision and prove global (f…

from my link log —
Optimizing triangles for a full-screen shader pass.
https://wallisc.github.io/rendering/2021/04/18/Fullscreen-Pass.html
saved 2025-09-29

cofe: Collaboration in Financial Economics (2021)
Network of authors and commenters of papers in finantial economics, obtained from the acknowledgement sections of over 5,000 published research papers.
This network has 13967 nodes and 102039 edges.
Tags: Social, Directed, Weighted, Online, Collaboration
https://networks.ske…

I'm surprised that many people just seem to realize that the golden cage by #Apple is actually a golden cage! 🤷
What have you thought when you decided for that (overpriced) #lockin situation?
Of course, an #iOS

🇺🇦 #NowPlaying on #BBC6Music's #ChrisHawkins
Wet Leg:
🎵 Chaise Longue (6 Music Session, 4 Oct 2021)
#WetLeg
https://longdissonance.bandcamp.com/track/wet-leg-chaise-longue
https://open.spotify.com/track/7iqAuZe5yS0suLQcFfVK39

Anzahl der registrierten #Balkonkraftwerke in #Deutschland mit Stand vom 04.10.2025.
Der aktuelle Höchststand liegt bei 1149038 registrierten Anlagen.
Unplausible Inbetriebnahmedaten von 1900 bis 2017 wurden durch das Registrierungsdatum der

Impact of Pulsar SAX J1748.9-2021 Observations on $f(\mathcal{Q}, \mathbb{T})$ Gravity
M. Sharif, Iqra Ibrar
https://arxiv.org/abs/2509.02641 https://arxiv…

Impact of Pulsar SAX J1748.9-2021 Observations on $f(\mathcal{Q}, \mathbb{T})$ Gravity
The main objective of this study is to investigate the viability and stability of a pulsar filled with anisotropic matter in $f(\mathcal{Q}, \mathbb{T})$ gravity, where $\mathcal{Q}$ represents non-metricity and $\mathbb{T}$ is the trace of the energy-momentum tensor. In this context, we employ non-singular solution and a particular model of this gravity. We use junction conditions to evaluate unknown constants in the metric coefficients. Observations from the pulsar SAX J1748.9-2021 star are e…

👋 Hello! I’m Łukasz. Thirty-something, living in Warsaw, Poland. On fedi since 2021 or so. Right now, I'm merging my two accounts into one and giving this profile a fresh new start.
I live a few parallel lives.
Most of the time I’m a web developer. I work with TypeScript, React and all that jazz. But I still enjoy static site generators and good ol’ HTML/CSS.
In another life, I’m a documentary photographer and photojournalist. I’m interested in activism, art and culture, politics, and pretty much anything interesting happening on city streets. A big part of my photography journey involves documenting protests and demonstrations in Poland, especially those related to human rights and social issues. I’m also drawn to street art, particularly when it carries strong messages.
I occasionally blog and translate. Many years ago I wrote two books about WordPress. However, these days I’m more likely to go outside and touch grass than spend even more time in front of a screen.
Outside of that, expect me to post about mental health and politics. I promise to use CWs when appropriate.
I post in both English and Polish, depending on the topic.
Aaaand that’s it. Nice to meet you! ☺️
#introduction

Taughannock Falls inspiration
#waterfall #PhotoSeries
https://muz4now.com/2021/inspiration-f

Taughannock Falls inspiration
Stan Stewart finds inspiration -- again -- at Taughannock Falls State Park in the Finger Lakes region of New York.

cofe: Collaboration in Financial Economics (2021)
Network of authors and commenters of papers in finantial economics, obtained from the acknowledgement sections of over 5,000 published research papers.
This network has 13967 nodes and 102039 edges.
Tags: Social, Directed, Weighted, Online, Collaboration
https://networks.ske…

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization
Marouan Handa, Marek Tyburec, Giovanni Fantuzzi, Victor Magron, Michal Ko\v{c}vara
https://arxiv.org/abs/2509.02849

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization
The Arrow Decomposition (AD) technique, initially introduced in [Mathematical Programming 190(1-2) (2021), pp 105-134], demonstrated superior scalability over the classical chordal decomposition in the context of Linear Matrix Inequalities (LMIs) if the matrix in question satisfied suitable assumptions. The primary objective of this paper is to extend the AD method to address Polynomial Optimization Problems (POPs) involving large-scale Polynomial Matrix Inequalities (PMIs), with the solution f…

Emergent Hierarchy in Localized States of Organic Quantum Chains
L. L. Lage, A. B. F\'elix, D. S. Gomes, M. L. Pereira Jr., A. Latg\'e
https://arxiv.org/abs/2510.02231 h…

Emergent Hierarchy in Localized States of Organic Quantum Chains
Organic Quantum Chains (OQCs) represent a newly synthesized class of carbon-based nanostructures whose quasi-one-dimensional nature gives rise to unconventional electronic and transport phenomena. Here we investigate the electronic and transport properties of recently synthesized OQCs [Nature Communications, 12, 5895 (2021)]. Structural stability was first assessed through molecular dynamics relaxation combined with density functional theory (DFT). The optimized coordinates are then used in a t…

A note on Wang's conjecture for harmonic functions with nonlinear boundary condition
Xiaohan Cai
https://arxiv.org/abs/2509.02978 https://arxiv.org/pdf…

A note on Wang's conjecture for harmonic functions with nonlinear boundary condition
We obtain some Liouville type theorems for positive harmonic functions on compact Riemannian manifolds with nonnegative Ricci curvature and strictly convex boundary and partially verifies Wang's conjecture (J. Geom. Anal. 31 (2021)). For the specific manifold $\mathbb{B}^n$, we present a new proof of this conjecture, which has been resolved by Gu-Li (Math. Ann. 391 (2025)). Our proof is based on a general principle of applying the P-function method to such uniqueness results. As a further app…

On Website Technicals (2021-11) - Tech updates: more meters, reutils tweets upgrade, DB-based Event and Product schema.org. - https://www.earth.org.uk/note-on-site-technicals-54.html

On Website Technicals (2021-11)
Tech updates: more meters, reutils tweets upgrade, DB-based Event and Product schema.org.

#Regenwald.org #Brasilien: Präsident Lula, legen Sie Ihr Veto ein! Stoppen Sie das Gesetz zur Umweltzerstörung
https://

#petition Brasilien: Präsident Lula, legen Sie Ihr Veto ein! Stoppen Sie das Gesetz zur Umweltzerstörung
Das brasilianische Parlament will mit dem Gesetz PL 2.159/2021 den Umwelt- und Regenwaldschutz massiv schwächen. Unternehmen sollen sich künftig selbst Umweltlizenzen für Projekte erteilen. Bitte fordern Sie Präsident Lula auf, dieses zerstörerische Gesetz mit seinem Veto zu stoppen!

Scenes From An Intuitive Journey
#intuition #journey
https://muz4now.com/2021/scenes-from-a

Scenes From An Intuitive Journey
Stan Stewart - @muz4now

Be (5) Yourself
An album featuring the sounds of the Hammond B3
#B3 #HammondB3 #NowPlaying

Be (5) Yourself #NowPlaying
Stan Stewart - @muz4now

cofe: Collaboration in Financial Economics (2021)
Network of authors and commenters of papers in finantial economics, obtained from the acknowledgement sections of over 5,000 published research papers.
This network has 13967 nodes and 102039 edges.
Tags: Social, Directed, Weighted, Online, Collaboration
https://networks.ske…

🇵🇱 Cześć! Jestem Łukasz. Trójka z przodu. Warszawa. Na fedi mniej-więcej od 2021 r. Łączę dwa konta w jedno i od tej pory będzie tu więcej polskojęzycznych postów (a jeśli obserwowałxś mnie na polskojęzycznym koncie, to dostaniesz więcej treści po angielsku 😄).
Mam kilka równoległych żyć.
Przez większość czasu buduję rzeczy w internetach, głównie z użyciem TypeScriptu, Reacta i całej reszty tego jazzu. Ciągle jednak lubię generatory stron statycznych i stary dobry HTML/CSS.
W innym życiu jestem fotografem-dokumentalistą i fotoreporterem. Interesuje mnie aktywizm, sztuka, kultura, polityka oraz wszystko, co jest ciekawe, a dzieje się na ulicach miast. Dużo uwagi poświęcam protestom i demonstracjom w Polsce, zwłaszcza dotyczącym praw człowieka i kwestii społecznych. Interesuje mnie też sztuka uliczna, zwłaszcza taka, która niesie ze sobą mocne komunikaty.
Zdarza mi się blogować i tłumaczyć teksty. Wiele lat temu napisałem dwie książki o WordPressie. Obecnie jednak wolę gdzieś wyjść niż spędzać jeszcze więcej czasu przed ekranem.
Okazjonalnie zdarza mi się postować o zdrowiu psychicznym i polityce. Staram się używać CW kiedy to możliwe.
Postuję po polsku i angielsku w zależności od tematu.
No i... chyba tyle. Miło Cię widzieć!
#introduction #witajswiecie #przywitanie #wprowadzenie

Global Bifurcation of Spiral Wave Solutions to the Complex Ginzburg-Landau Equation
Carlos Garcia-Azpeitia, Ziad Ghanem, Wieslaw Krawcewicz
https://arxiv.org/abs/2507.15098

Global Bifurcation of Spiral Wave Solutions to the Complex Ginzburg-Landau Equation
We use the $\mathbb T^2$-equivariant degree to establish the existence of unbounded branches of rotating spiral wave solutions with any number of arms for the complex Ginzburg Landau equation GLe on the planar unit disc, leveraging the spatial symmetries inherent to the problem and avoiding limiting constraints encountered in previous studies (Dai 2021) that utilized the classical Leray-Schauder degree. Our results provide rigorous mathematical justification for the formation and persistence of…