Tootfinder

On fundamental properties of high-order forward-backward envelope
Alireza Kabgani, Masoud Ahookhosh
https://arxiv.org/abs/2511.10421 https://arxiv.org/pdf/2511.10421 https://arxiv.org/html/2511.10421
arXiv:2511.10421v1 Announce Type: new
Abstract: This paper studies the fundamental properties of the high-order forward-backward splitting mapping (HiFBS) and its associated forward-backward envelope (HiFBE) through the lens of high-order regularization for nonconvex composite functions. Specifically, we (i) establish the boundedness and uniform boundedness of HiFBS, along with the H\"older and Lipschitz continuity of HiFBE; (ii) derive an explicit form for the subdifferentials of HiFBE; and (iii) investigate necessary and sufficient conditions for the differentiability and weak smoothness of HiFBE under suitable assumptions. By leveraging the prox-regularity of $g$ and the concept of $p$-calmness, we further demonstrate the local single-valuedness and continuity of HiFBS, which in turn guarantee the differentiability of HiFBE in neighborhoods of calm points. This paves the way for the development of gradient-based algorithms tailored to nonconvex composite optimization problems.
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Unclear to me why no one ever mentions Strongbox in #PasswordManager reviews. It is a perfectly fine PM for macOS/iOS/iPadOS that has a rich set of sync options, most of which don't involve any 2nd/3rd party storage. It stores its databases in KeePass2.x (kdbx v4) format, so it is data-compatible with the many variations of KeePass.
(I use it with SSH/SCP sync, so as long as I’m at…

Minimizing smooth Kurdyka-{\L}ojasiewicz functions via generalized descent methods: Convergence rate and complexity
Masoud Ahookhosh, Susan Ghaderi, Alireza Kabgani, Morteza Rahimi
https://arxiv.org/abs/2511.10414 https://arxiv.org/pdf/2511.10414 https://arxiv.org/html/2511.10414
arXiv:2511.10414v1 Announce Type: new
Abstract: This paper addresses the generalized descent algorithm (DEAL) for minimizing smooth functions, which is analyzed under the Kurdyka-{\L}ojasiewicz (KL) inequality. In particular, the suggested algorithm guarantees a sufficient decrease by adapting to the cost function's geometry. We leverage the KL property to establish the global convergence, convergence rates, and complexity. A particular focus is placed on the linear convergence of generalized descent methods. We show that the constant step-size and Armijo line search strategies along a generalized descent direction satisfy our generalized descent condition. Additionally, for nonsmooth functions by leveraging the smoothing techniques such as forward-backward and high-order Moreau envelopes, we show that the boosted proximal gradient method (BPGA) and the boosted high-order proximal-point (BPPA) methods are also specific cases of DEAL, respectively. It is notable that if the order of the high-order proximal term is chosen in a certain way (depending on the KL exponent), then the sequence generated by BPPA converges linearly for an arbitrary KL exponent. Our preliminary numerical experiments on inverse problems and LASSO demonstrate the efficiency of the proposed methods, validating our theoretical findings.
toXiv_bot_toot

Sources: Trump decided not to discuss Nvidia's AI chip exports to China during his October 30 meeting with Xi Jinping following opposition from his top advisers (Wall Street Journal)
https://www.wsj.com/world/china/trump-nvid

🇺🇦 #NowPlaying on KEXP's #DriveTime
Q‐Tip:
🎵 Breathe and Stop (Dan Fresco Mix)
#QTip
https://littleboyjrone.bandcamp.com/track/q-tip-breathe-and-stop-l-boyjr-easyrmix
https://open.spotify.com/track/7nDtDxsKJ3fho8xEmU65JJ

Im niedersächsischen #Ahnsbeck förderte das Projekt #DemoCELL bei einer #Geothermiebohrung über 1000 Kubikmeter heißes Thermalwasser aus rund 2500 Metern Tiefe.
Erste Messungen zeigen …

»Dok 1: Drei Wochen Handy-Entzug – Das Experiment«
Eine empfehlenswerte TV-Doku vom ORF und sicher sind diesbezüglich nicht nur Kinder betroffen. Die Erwachsenen dürfen durchaus Vorbilder sein und ua zB ihr Handy nicht permanent online zu haben. Zu viele Menschen haben Angst was zu verpassen aber sie lassen sich dadurch mental beeinflussen.
📺

Information-theoretic analysis of complex eigenmodes across avoided crossings in open microcavities
Kyu-won Park, soojoon-Lee, Kabgyun Jeong
https://arxiv.org/abs/2509.19827 ht…

Information-theoretic analysis of complex eigenmodes across avoided crossings in open microcavities
Avoided crossings (ACs) are hallmark signatures of mode interaction in quantum and wave systems. Open microcavities whose resonances are naturally described as quasi-normal modes (QNMs) with complex eigenfrequencies offer a convenient platform to observe how openness and loss reorganize modal structure. We introduce a compact \emph{quadrature space} framework that represents a complex QNM by probability weights on its real and imaginary quadratures, and we apply Shannon-type measures to these d…

🇺🇦 #NowPlaying on #BBC6Music's #6Musics90sForever
Q‐Tip:
🎵 Breathe And Stop
#QTip
https://littleboyjrone.bandcamp.com/track/q-tip-breathe-and-stop-l-boyjr-easyrmix
https://open.spotify.com/track/7nDtDxsKJ3fho8xEmU65JJ

Each year the public broadcast service in Norway produce BlimE. Some Top Norwegian artist is hired with creating a song about friendship and inclusion. All kids in Norway learns the same dance, and comes together and dance. For friendship and inclusion.
Here is this years song:
https://www.youtube.com/watch?v=1k9QFs2nWkw