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@arXiv_mathOC_bot@mastoxiv.page
2025-11-14 09:28:40

Convergence analysis of inexact MBA method for constrained upper-$\mathcal{C}^2$ optimization problems
Ruyu Liu, Shaohua Pan
arxiv.org/abs/2511.09940 arxiv.org/pdf/2511.09940 arxiv.org/html/2511.09940
arXiv:2511.09940v1 Announce Type: new
Abstract: This paper concerns a class of constrained optimization problems in which, the objective and constraint functions are both upper-$\mathcal{C}^2$. For such nonconvex and nonsmooth optimization problems, we develop an inexact moving balls approximation (MBA) method by a workable inexactness criterion for the solving of subproblems. By leveraging a global error bound for the strongly convex program associated with parametric optimization problems, we establish the full convergence of the iterate sequence under the partial bounded multiplier property (BMP) and the Kurdyka-{\L}ojasiewicz (KL) property of the constructed potential function, and achieve the local convergence rate of the iterate and objective value sequences if the potential function satisfies the KL property of exponent $q\in[1/2,1)$. A verifiable condition is also provided to check whether the potential function satisfies the KL property of exponent $q\in[1/2,1)$ at the given critical point. To the best of our knowledge, this is the first implementable inexact MBA method with a full convergence certificate for the constrained nonconvex and nonsmooth optimization problem.
toXiv_bot_toot

@thomastraynor@social.linux.pizza
2025-10-13 14:59:27

The job of the college is to get the best price for the property and not subsidize another college.
"Shannan is hoping the college will sell him the property at less than market value, but the process has been frustrating. He said he was in the process of trying to have a conversation with Algonquin, but was “rebuffed” as recently as Tuesday."
Then there will be the hurdles of getting the accreditation. I love the idea of a trades college, but there is a lot of work an…

@arXiv_quantph_bot@mastoxiv.page
2025-10-07 12:01:22

The NPA hierarchy does not always attain the commuting operator value
Marco Fanizza, Larissa Kroell, Arthur Mehta, Connor Paddock, Denis Rochette, William Slofstra, Yuming Zhao
arxiv.org/abs/2510.04943

@arXiv_csCR_bot@mastoxiv.page
2025-10-07 11:01:52

Computational Certified Deletion Property of Magic Square Game and its Application to Classical Secure Key Leasing
Yuki Takeuchi, Duo Xu
arxiv.org/abs/2510.04529

@pdmckone@mstdn.ca
2025-12-06 14:36:30

"They're banning the 'Blanket Library'?"
"Yes, apparently 'Need a Blanket, Take a Blanket; Have a Blanket, Leave a Blanket' sends the wrong message."
"Well, banning it doesn't solve the problem."
"But they think it will keep the blanket-needers out of the neighbourhood."
"Ah, property prices...."
"Yes, property prices: the most important thing to protect during a winter housing crisis."
"Please, please, won't somebody think about MY property value."

@arXiv_csIR_bot@mastoxiv.page
2025-10-03 08:47:31

Location Matters: Leveraging Multi-Resolution Geo-Embeddings for Housing Search
Ivo Silva (QuintoAndar), Pedro Nogueira (QuintoAndar), Guilherme Bonaldo (QuintoAndar)
arxiv.org/abs/2510.01196

@mgorny@social.treehouse.systems
2025-10-02 17:42:42

"""
Traditional politics of assistance and the repression of unemployment were now called into question. The need for reform became urgent.
Poverty was gradually separated from the old moral confusions. Economic crises had shown that unemployment could not be confused with indolence, as indigence and enforced idleness spread throughout the countryside, to precisely the places that had previously been considered home to the purest and most immediate forms of moral life. This demonstrated that poverty did not solely fall under the order of the fault: ‘Begging is the fruit of poverty, which in turn is the consequence of accidents in the production of the earth or in the output of factories, of a rise in the price of basic foodstuffs, or of growth of the population, etc.’ Indigence became a matter of economics.
But it was not contingent, nor was it destined to be suppressed forever. There would always be a certain quantity of poverty that could never be effaced, a sort of fatal indigence that would accompany all forms of society until the end of time, even in places where all the idle were employed: ‘The only paupers in a well governed state must be those born in indigence, or those who fall into it by accident.’ This backdrop of poverty was somehow inalienable: whether by birth or accident, it formed an inevitable part of society. The state of lack was so firmly entrenched in the destiny of man and the structure of society that for a long time the idea of a state without paupers remained inconceivable: in the thought of philosophers, property, work and indigence were terms linked right up until the nineteenth century.
This portion of poverty was necessary because it could not be suppressed; but it was equally necessary in that it made wealth possible. Because they worked but consumed little, a class of people in need allowed a nation to become rich, to release the value of its fields, colonies and mines, making products that could be sold throughout the world. An impoverished people, in short, was a people that had no poor. Indigence became an indispensable element in the state. It hid the secret but most real life of society. The poor were the seat and the glory of nations. And their noble misery, for which there was no cure, was to be exalted:
«My intention is solely to invite the authorities to turn part of their vigilant attention to considering the portion of the People who suffer … the assistance that we owe them is linked to the honour and prosperity of the Empire, of which the Poor are the firmest bulwark, for no sovereign can maintain and extend his domain without favouring the population, and cultivating the Land, Commerce and the Arts; and the Poor are the necessary agents for the great powers that reveal the true force of a People.»
What we see here is a moral rehabilitation of the figure of the Pauper, bringing about the fundamental economic and social reintegration of his person. Paupers had no place in a mercantilist economy, as they were neither producers nor consumers, and they were idle, vagabond or unemployed, deserving nothing better than confinement, a measure that extracted and exiled them from society. But with the arrival of the industrial economy and its thirst for manpower, paupers were once again a part of the body of the nation.
"""
(Michel Foucault, History of Madness)

@arXiv_physicsfludyn_bot@mastoxiv.page
2025-10-07 10:17:42

Stability of surfactant-laden double-layered viscoelastic fluids flowing over an inclined plane
Md. Mouzakkir Hossain, Mohamin B. M. Khan, Youchuang Chao
arxiv.org/abs/2510.04250

@arXiv_mathPR_bot@mastoxiv.page
2025-10-07 08:41:12

Infinite-time Mean Field FBSDEs and Viscosity Solutions to Elliptic Master Equations
Zeyu Yang, Yongsheng Song
arxiv.org/abs/2510.03707 arx…

Santa Barbara’s future vitality depends on making space for younger generations who want to build their lives here
— and a walkable, bike-friendly downtown offers immense value for renters, service workers, parents, and young professionals alike.
We cannot rely on big, national retail chains to anchor State Street
Bringing cars back will just bring back cruising, since parking has always been on nearby streets and in garages.
A walkable downtown supported by efficien…

@arXiv_qfinRM_bot@mastoxiv.page
2025-09-17 08:15:40

A Note on Subadditivity of Value at Risks (VaRs): A New Connection to Comonotonicity
Yuri Imamura, Takashi Kato
arxiv.org/abs/2509.12558 ar…

@arXiv_quantph_bot@mastoxiv.page
2025-09-30 13:09:11

Quantitative quantum soundness for all multipartite compiled nonlocal games
Matilde Baroni, Igor Klep, Dominik Leichtle, Marc-Olivier Renou, Ivan \v{S}upi\'c, Lucas Tendick, Xiangling Xu
arxiv.org/abs/2509.25145

@arXiv_mathAP_bot@mastoxiv.page
2025-09-22 08:24:41

Global well-posedness and Gevrey regularity of Navier-Stokes equations in critical Triebel-Lizorkin-Lorentz spaces
Qixiang Yang, Hongwei Li
arxiv.org/abs/2509.15663