Tootfinder

The PCE Price Index Reveals No Leap Down to Price Stability on Leap Day
#RealEstate #MoodysCRE #MA_CRESolutions

A look at the rise and fall of Emad Mostaque and Stability AI, including how Mostaque's relationship with Coatue and Lightspeed blossomed and fell apart (Fortune)
https://fortune.com/2024/03/27/inside-stability-ai-em…

Inside the rise and fall of AI’s open source king and his $1 billion startup—and the bad breakup with key investors Coatue and Lightspeed
Stability AI, led by CEO Emad Mostaque, emerged as one of the first high-flying startups in the generative AI boom, garnering a $1 billion seed valuation. Within months the relationship with investors broke down and spurred a campaign to oust Mostaque, who resigned on Saturday.

This https://arxiv.org/abs/2402.10962 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCL_…

Measuring and Controlling Instruction (In)Stability in Language Model Dialogs
System-prompting is a standard tool for customizing language-model chatbots, enabling them to follow a specific instruction. An implicit assumption in the use of system prompts is that they will be stable, so the chatbot will continue to generate text according to the stipulated instructions for the duration of a conversation. We propose a quantitative benchmark to test this assumption, evaluating instruction stability via self-chats between two instructed chatbots. Testing popular models like …

This https://arxiv.org/abs/2312.03273 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Perfectly matched layers for the Boltzmann equation: stability and sensitivity analysis
We study the stability and sensitivity of an absorbing layer for the Boltzmann equation by examining the Bhatnagar-Gross-Krook (BGK) approximation and using the perfectly matched layer (PML) technique. To ensure stability, we discard some parameters in the model and calculate the total sensitivity indices of the remaining parameters using the ANOVA expansion of multivariate functions. We conduct extensive numerical experiments on two test cases to study stability and compute the total sensitivi…

Quasi-contractivity, Stability and convergence of WCT operators
Y. Estaremi, Z. Huang, S. Muhammad
https://arxiv.org/abs/2404.19466 https://

Quasi-contractivity, Stability and convergence of WCT operators
In this paper we characterize quasi-contraction, stable and convergent weighted conditional type (WCT) operators on $L^p(μ)$. Indeed we provide equivalent conditions for quasi-contraction WCT operators. Also, we prove that convergence, uniformly stability, strongly stability and weakly stability of WCT operators are equivalent. Finally we provided some concrete examples to illustrate our main results.

On upgrading to the latest patch update of the Thing I Use.
**Release notes: - bug fixes, stability enhancements**
`<opens application>`
`<open project file>`
`<application closes without error/exception>`
Yup.

Real Stability and Log Concavity are coNP-Complete
Tracy Chin
https://arxiv.org/abs/2405.00162 https://arxiv.org/pdf/2405.00162

Real Stability and Log Concavity are coNP-Complete
Real-stable, Lorentzian, and log-concave polynomials are well-studied classes of polynomials, and have been powerful tools in resolving several conjectures. We show that the problems of deciding whether a polynomial of fixed degree is real stable or log concave are coNP-complete. On the other hand, while all homogeneous real-stable polynomials are Lorentzian and all Lorentzian polynomials are log concave on the positive orthant, the problem of deciding whether a polynomial of fixed degree is Lo…

Influence of pressure anisotropy and non-metricity parameter on mass-radius relation and stability of millisecond pulsar in $f(Q)$ gravity
S. K. Maurya, Ksh. Newton Singh, G. Mustafa, M. Govender, Abdelghani Errehymy, Abdul Aziz
https://arxiv.org/abs/2403.20011

Influence of pressure anisotropy and non-metricity parameter on mass-radius relation and stability of millisecond pulsar in $f(Q)$ gravity
In this study we explore the astrophysical implications of pressure anisotropy on the physical characteristics of millisecond pulsars within the framework of $f(Q)$ gravity. Starting off with the field equations for anisotropic matter distributions, we adopt the physically salient Durgapal-Fuloria ansatz together with a well-motivated anisotropic factor for the interior matter distribution. This leads to a nonlinear second order differential equation which is integrated to give the complete gra…

Strong stochastic stability of cellular automata
Hugo Marsan, Mathieu Sablik
https://arxiv.org/abs/2403.19932 https://arxiv.org/pdf/2…

Strong stochastic stability of cellular automata
We define the notion of stochastic stability, already present in the literature in the context of smooth dynamical systems, for invariant measures of cellular automata perturbed by a random noise, and the notion of strongly stochastically stable cellular automaton. We study these notions on basic examples (nilpotent cellular automata, spreading symbols) using different methods inspired by those presented in \cite{MST19}. We then show that this notion of stability is not trivial by proving that …

Stability analysis of a three-dimensional system of Topp model with diabetes
Z. S. Boxonov, U. A. Rozikov
https://arxiv.org/abs/2405.00323 https://<…

Stability analysis of a three-dimensional system of Topp model with diabetes
Mathematical models of glucose, insulin, and pancreatic $β$-cell mass dynamics are essential for understanding the physiological basis of type 2 diabetes. This paper investigates the Topp model's discrete-time dynamics to represent these interactions. We perform a comprehensive analysis of the system's trajectory, examining both local and global behavior. First, we establish the invariance of the positive trajectory and analyze the existence of fixed points. Then, we conduct a complete stabili…

Thermal stability and phase transformation of $\alpha$-, $\kappa(\epsilon)$-, and $\gamma$-Ga$_2$O$_3$ thin films to $\beta$-Ga$_2$O$_3$ under various ambient conditions
J. Tang, K. Jiang, P. Tseng, R. C. Kurchin, L. M. Porter, R. F. Davis
https://arxiv.org/abs/2405.00299

Thermal stability and phase transformation of $α$-, $κ(ε)$-, and $γ$-Ga$_2$O$_3$ thin films to $β$-Ga$_2$O$_3$ under various ambient conditions
Phase transitions in metastable $α$-, $κ(ε)$-, and $γ$-Ga$_2$O$_3$ films to thermodynamically stable $β$-Ga$_2$O$_3$ during annealing in air, N$_2$, and vacuum have been systematically investigated via in-situ high-temperature X-ray diffraction and scanning electron microscopy. These respective polymorphs exhibited thermal stability to around 471-525$^\circ$C, 773-825$^\circ$C, and 490-575$^\circ$C before transforming into $β$-Ga$_2$O$_3$, across all tested ambient conditions. Particular …

Structural Stability Hypothesis of Dual Unitary Quantum Chaos
Jonathon Riddell, Curt von Keyserlingk, Toma\v{z} Prosen, Bruno Bertini
https://arxiv.org/abs/2402.19096

Structural Stability Hypothesis of Dual Unitary Quantum Chaos
Having spectral correlations that, over small enough energy scales, are described by random matrix theory is regarded as the most general defining feature of quantum chaotic systems as it applies in the many-body setting and away from any semiclassical limit. Although this property is extremely difficult to prove analytically for generic many-body systems, a rigorous proof has been achieved for dual-unitary circuits -- a special class of local quantum circuits that remain unitary upon swapping …

Stability studies of sealed Resistive Plate Chambers
A. Blanco, P. Fonte, L. Lopes, M. Pimenta
https://arxiv.org/abs/2402.18663 https://

Stability studies of sealed Resistive Plate Chambers
The phase-out of hydro-fluorocarbons, owing to their high Global Warming Power, affecting the main gas used in Resistive Plate Chambers (RPCs), tetrafluoroethane C$_2$H$_2$F$_4$, has increased operational difficulties on existing systems and imposes strong restrictions on its use in new systems. This has motivated a new line of R\&D on sealed RPCs: RPCs that do not require a continuous gas flow for their operation and dispense the use of very complex and expensive re-circulation and/or recycl…

This https://arxiv.org/abs/2402.14846 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCL_…

Stick to your Role! Context-dependence and Stability of Personal Values Expression in Large Language Models
The standard way to study Large Language Models (LLMs) with benchmarks or psychology questionnaires is to provide many different queries from similar minimal contexts (e.g. multiple choice questions). However, due to LLMs' highly context-dependent nature, conclusions from such minimal-context evaluations may be little informative about the model's behavior in deployment (where it will be exposed to many new contexts). We argue that context-dependence (specifically, value stability) should be st…

Analytic solutions for the linearized first-order magnetohydrodynamics and implications for causality and stability
Zhe Fang, Koichi Hattori, Jin Hu
https://arxiv.org/abs/2402.18601

Analytic solutions for the linearized first-order magnetohydrodynamics and implications for causality and stability
We solve the first-order relativistic magnetohydrodynamics (MHD) within the linear-mode analysis performed near an equilibrium configuration in the fluid rest frame. We find two complete sets of analytic solutions for the four and two coupled modes with seven dissipative transport coefficients. The former set has been missing in the literature for a long time. Our method provides a simple and general algorithm for the solution search on an order-by-order basis in the derivative expansion, and c…

Linear stability of cylindrical, multicomponent vesicles
Anirudh Venkatesh, Aman Bhargava, Vivek Narsimhan
https://arxiv.org/abs/2402.19297 https://…

Linear stability of cylindrical, multicomponent vesicles
Vesicles are important surrogate structures made up of multiple phospholipids and cholesterol distributed in the form of a lipid bilayer. Tubular vesicles can undergo pearling i.e., formation of beads on the liquid thread akin to the Rayleigh-Plateau instability. Previous studies have inspected the effects of surface tension on the pearling instabilities of single-component vesicles. In this study, we perform a linear stability analysis on a multicomponent cylindrical vesicle. We solve the Stok…

This https://arxiv.org/abs/2404.10446 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

Watching Grass Grow: Long-term Visual Navigation and Mission Planning for Autonomous Biodiversity Monitoring
We describe a challenging robotics deployment in a complex ecosystem to monitor a rich plant community. The study site is dominated by dynamic grassland vegetation and is thus visually ambiguous and liable to drastic appearance change over the course of a day and especially through the growing season. This dynamism and complexity in appearance seriously impact the stability of the robotics platform, as localisation is a foundational part of that control loop, and so routes must be carefully tau…

Status Report on Global Pulsar-Timing-Array Efforts to Detect Gravitational Waves
Joris P. W. Verbiest, Sarah J. Vigeland, Nataliya K. Porayko, Siyuan Chen, Daniel J. Reardon
https://arxiv.org/abs/2404.19529

Status Report on Global Pulsar-Timing-Array Efforts to Detect Gravitational Waves
The stability of the spin of pulsars and the precision with which these spins can be determined, allows many unique tests of interest to physics and astrophysics. Perhaps the most challenging and revolutionary of these, is the detection of nanohertz gravitational waves. An increasing number of efforts to detect and study long-period gravitational waves by timing an array of pulsars have been ongoing for several decades and the field is moving ever closer to actual gravitational-wave science. In…

Effective Potential and Vacuum Stability in the Litim-Sannino Model
Tom Steudtner
https://arxiv.org/abs/2402.16950 https://arxiv.org/…

Effective Potential and Vacuum Stability in the Litim-Sannino Model
We revisit the scalar potential in the Litim-Sannino model. We compute for the first time the full quantum corrections to the classical potential and show that they significantly ameliorate the stability analysis at the UV fixed point. The quantum effective potential is computed at two-loop order and the numerical precision is further improved using resummations and parameter optimisations. As a result, we find a consistent widening of the UV conformal window across various approximations.

Prescribed-Time Stability Properties of Interconnected Systems
Prashanth Krishnamurthy, Farshad Khorrami, Anthony Tzes
https://arxiv.org/abs/2405.00224 htt…

Prescribed-Time Stability Properties of Interconnected Systems
Achieving control objectives (e.g., stabilization or convergence of tracking error to zero, input-to-state stabilization) in "prescribed time" has attracted significant research interest in recent years. The key property of prescribed-time results unlike traditional "asymptotic" results is that the convergence or other control objectives are achieved within an arbitrary designer-specified time interval instead of asymptotically as time goes to infinity. In this paper, we consider cascade and fe…

Sources: Stability AI was in a "death spiral" prior to Mostaque's resignation, due to talent departures, mismanagement, legal troubles, and dwindling resources (Bloomberg)
https://www.bloomberg.com/news/articles/20

Stability AI CEO Emad Mostaque Resignation: What Happened?
Inside the startup’s journey from AI darling to cautionary tale.

Stability and instability of the quasilinear Gross--Pitaevskii dark solitons
Erwan Le Quiniou
https://arxiv.org/abs/2402.18316 https://

Stability and instability of the quasilinear Gross--Pitaevskii dark solitons
We study a quasilinear Schrödinger equation with nonzero conditions at infinity. In previous works, we obtained a continuous branch of traveling waves, given by dark solitons indexed by their speed. Neglecting the quasilinear term, one recovers the Gross--Pitaevskii equation, for which the branch of dark solitons is stable. Moreover, Z.~Lin showed that the Vakhitov--Kolokolov~(VK) stability criterion (in terms of the momentum of solitons) holds for general semilinear equations with nonvanishin…

Tayler Instability Revisited
Valentin A. Skoutnev, Andrei M. Beloborodov
https://arxiv.org/abs/2404.19103 https://arxiv.org/pdf/2404.…

Tayler Instability Revisited
Tayler instability of toroidal magnetic fields $B_ϕ$ is broadly invoked as a trigger for turbulence and angular momentum transport in stars. This paper presents a systematic revision of the linear stability analysis for a rotating, magnetized, and stably stratified star. For plausible configurations of $B_ϕ$, instability requires diffusive processes: viscosity, magnetic diffusivity, or thermal/compositional diffusion. Our results reveal a new physical picture, demonstrating how different diff…

Passivation of Clustered DC Microgrids with Non-Monotone Loads
Albertus Johannes Malan, Joel Ferguson, Michele Cucuzzella, Jacquelien M. A. Scherpen, S\"oren Hohmann
https://arxiv.org/abs/2404.19520

Passivation of Clustered DC Microgrids with Non-Monotone Loads
In this paper, we consider the problem of voltage stability in DC networks containing uncertain loads with non-monotone incremental impedances and where the steady-state power availability is restricted to a subset of the buses in the network. We propose controllers for powered buses that guarantee voltage regulation and output strictly equilibrium independent passivity (OS-EIP) of the controlled buses, while buses without power are equipped with controllers that dampen their transient behaviou…

This https://arxiv.org/abs/2201.11612 has been replaced.
link: https://scholar.google.com/scholar?q=a

On the stability of the invariant probability measures of McKean-Vlasov equations
We study the long-time behavior of some McKean-Vlasov stochastic differential equations used to model the evolution of large populations of interacting agents. We give conditions ensuring the local stability of an invariant probability measure. Lions derivatives are used in a novel way to obtain our stability criteria. We obtain results for non-local McKean-Vlasov equations on $\mathbb{R}^d$ and for McKean-Vlasov equations on the torus where the interaction kernel is given by a convolution. On …

This https://arxiv.org/abs/2404.17774 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCV_…

High-quality Surface Reconstruction using Gaussian Surfels
We propose a novel point-based representation, Gaussian surfels, to combine the advantages of the flexible optimization procedure in 3D Gaussian points and the surface alignment property of surfels. This is achieved by directly setting the z-scale of 3D Gaussian points to 0, effectively flattening the original 3D ellipsoid into a 2D ellipse. Such a design provides clear guidance to the optimizer. By treating the local z-axis as the normal direction, it greatly improves optimization stability an…

Stability of the regular $n$-gon rotating equilibria with logarithm interaction
Anna-Monika Muscas, Daniel Pasca, Cristina Stoica
https://arxiv.org/abs/2404.17899

Stability of the regular $n$-gon rotating equilibria with logarithm interaction
We study the linear stability of regular $n$-gon rotating equilibria in the $n$-body problem with logarithm interaction. In the presence of a central mass $M$, linear stability is insured if $M$ is bounded below and above by constants depending on the number and mass of the (equal) outer $n$ bodies. Moreover, we provide explicit equations of these bounds. In the absence of a central mass we find that the regular $n$-gon is linearly stable for $n =2,3,\ldots 6$ only.

Reevaluating coexistence and stability in ecosystem networks to address ecological transients: methods and implications
Sarah A. Vollert, Christopher Drovandi, Matthew P. Adams
https://arxiv.org/abs/2405.00333

Reevaluating coexistence and stability in ecosystem networks to address ecological transients: methods and implications
Representing ecosystems at equilibrium has been foundational for building ecological theories, forecasting species populations and planning conservation actions. The equilibrium "balance of nature" ideal suggests that populations will eventually stabilise to a coexisting balance of species. However, a growing body of literature argues that the equilibrium ideal is inappropriate for ecosystems. Here, we develop and demonstrate a new framework for representing ecosystems without considering equil…

Earlier this week, Stability AI announced Stable Cascade (https://stability.ai/news/introducing-stable-cascade). I got it running locally on my Mac and asked it for "A bear riding a unicycle in the snow".
That prompt continues to stump generative AIs ...…

Introducing Stable Cascade — Stability AI
Today marks the launch of Stable Cascade in its research preview. This innovative text to image model introduces an interesting three-stage approach, setting new benchmarks for quality, flexibility, fine-tuning, and efficiency with a focus on further eliminating hardware barriers.

This https://arxiv.org/abs/2401.14803 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Distortion in graphs of groups and Rapid Decay classification of 3-manifold groups
The fundamental group of a closed irreducible 3-dimensional manifold has the Rapid Decay property if and only if it is not virtually Sol. This is proved by studying distortion of length functions in graphs of groups, and the stability of the Rapid Decay property in polynomially distorted graphs of groups.

This is a…surprisingly sober #Bitcoin evaluation by ECB?
https://www.ecb.europa.eu/press/blog/date/2024/html/ecb.blog20240222~0929f86e23.en.html<…

ETF approval for bitcoin – the naked emperor’s new clothes
The European Central Bank (ECB) is the central bank of the European Union countries which have adopted the euro. Our main task is to maintain price stability in the euro area and so preserve the purchasing power of the single currency.

This https://arxiv.org/abs/2402.13407 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Einstein metrics on homogeneous spaces $H\times H/ΔK$
Given any compact homogeneous space $H/K$ with $H$ simple, we consider the new space $M=H\times H/ΔK$, where $ΔK$ denotes diagonal embedding, and study the existence, classification and stability of $H\times H$-invariant Einstein metrics on $M$, as a first step into the largely unexplored case of homogeneous spaces of compact non-simple Lie groups. We find unstable Einstein metrics on $M$ for most spaces $H/K$ such that their standard metric is Einstein (e.g., isotropy irreducible) and the Ki…

On a combinatorial classification of fine compactified universal Jacobians
Marco Fava
https://arxiv.org/abs/2403.17871 https://arxiv.…

On a combinatorial classification of fine compactified universal Jacobians
Extending the definition of $V$-stability conditions, given by Viviani in a recent preprint, we introduce the notion of \emph{universal stability conditions}. Building on results by Pagani and Tommasi, we show that fine compactified universal Jacobians, that is, fine compactified Jacobians over the moduli spaces of stable pointed curves $\overline{\mathcal{M}}_{g,n}$, are combinatorially classified by universal stability conditions. We use these stability conditions to show the following. The…

This https://arxiv.org/abs/2403.19871 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLG_…

Towards Stable Machine Learning Model Retraining via Slowly Varying Sequences
Retraining machine learning models (ML) when new batches of data become available is an important task in real-world pipelines. Existing methods focus largely on greedy approaches to find the best-performing model for each batch, without considering the stability of the model's structure across retraining iterations. In this study, we propose a methodology for finding sequences of ML models that are stable across retraining iterations. We develop a mixed-integer optimization algorithm that is g…

This https://arxiv.org/abs/2404.16337 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Stability of the Standard Model vacuum with respect to vacuum tunneling to the Komatsu vacuum in the cMSSM
We investigate the stability of the Standard Model vacuum with respect to vacuum tunneling to the Komatsu vacuum, which exists when $m_L^2 + m_{H_u}^2<0$, in the cMSSM. Employing the numerical tools \verb|SARAH|, \verb|SPheno| and \verb|CosmoTransitions|, we scan and constrain the parameter space of the cMSSM up to 10 TeV. Regions excluded due to having a vacuum tunneling half-life less than the age of the observable universe are concentrated near the regions where…

This https://arxiv.org/abs/2206.01040 has been replaced.
link: https://scholar.google.com/scholar?q=a

Continuous space core-periphery model with transport costs in differentiated agriculture
The core-periphery model with transport costs in differentiated agriculture is extended to a continuous space. The stability of a homogeneous stationary solution exhibits redispersion under positive agricultural transport costs; it transitions from stable to unstable and finally stable again as manufacturing transport costs decrease. It is numerically observed that a solution starting from around the unstable homogeneous solution eventually forms a spike-like agglomeration. Moreover, the redisp…

Here's my latest Human Meme podcast episode: A Comprehensive Exploration of Universal Basic Income: Unveiling the Future of Economic Stability - http://sites.libsyn.com/84966/a-comprehensive-exploration-o…

A geometric approach for stability analysis of delay systems: Applications to network dynamics
Shijie Zhou, Wei Lin
https://arxiv.org/abs/2404.18704 https:…

A geometric approach for stability analysis of delay systems: Applications to network dynamics
Investigating the network stability or synchronization dynamics of multi-agent systems with time delays is of significant importance in numerous real-world applications. Such investigations often rely on solving the transcendental characteristic equations (TCEs) obtained from linearization of the considered systems around specific solutions. While stability results based on the TCEs with real-valued coefficients induced by symmetric networks in time-delayed models have been extensively explored…

CIQ Launches Support for Upstream [#Linux] kernels in #RockyLinux

CIQ Launches Support for Upstream Kernels in Rocky Linux, Uniting Stability, Compatibility, Security and Performance
/PRNewswire-PRWeb/ -- CIQ, the company building the next generation of software infrastructure for enterprises, today launched fully supported, upstream stable...

String Dimension: VC Dimension for Infinite Shattering
Calliope Ryan-Smith
https://arxiv.org/abs/2402.18250 https://arxiv.org/pdf/240…

String Dimension: VC Dimension for Infinite Shattering
In computer science, combinatorics, and model theory, the VC dimension is a central notion underlying far-reaching topics such as error rate for decision rules, combinatorial measurements of classes of finite structures, and neo-stability theory. In all cases, it measures the capacity for a collection of sets $\mathcal{F}\subseteq\mathscr{P}(X)$ to shatter subsets of $X$. The VC dimension of this class then takes values in $\mathbb{N}\cup\{\infty\}$. We extend this notion to an infinitary frame…

Remi on modularity:
"'"I'm disappointed with the bad Fedora community feedback on solutions proposed to solve Enterprise-only needs.
And what a waste of developer energy on these features (SCL and Modularity)"'"
I sometimes feel something (or many somethings?) somewhere went wrong with modularity in general and within in Fedora.
I hope some solution sooner or later emerges to make the things easy that modularity promised to deliver…

Exploring the Dynamics of Mass Inflation: Implications for Cauchy Horizon Stability and Black Hole Physics in General Relativity and $f(R)$ Gravity
Wen-Xiang Chen
https://arxiv.org/abs/2402.18097

Exploring the Dynamics of Mass Inflation: Implications for Cauchy Horizon Stability and Black Hole Physics in General Relativity and $f(R)$ Gravity
This article investigates the phenomenon of mass inflation and its consequential impact on the stability of Cauchy horizons within the framework of general relativity. Mass inflation, defined by an exponential surge in energy, is pivotal in preserving causality across solutions like the Kerr black hole, ensuring the singular nature of causality-violating regions. Through a nuanced examination, the study expands the traditional understanding of mass inflation beyond stationary geometries to incl…

This https://arxiv.org/abs/2304.06100 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Tridiagonal and single-pair matrices and the inverse sum of two single-pair matrices
A novel factorization for the sum of two single-pair matrices is established as product of lower-triangular, tridiagonal, and upper-triangular matrices, leading to semi-closed-form formulas for tridiagonal matrix inversion. Subsequent factorizations are established, leading to semi-closed-form formulas for the inverse sum of two single-pair matrices. An application to derive the symbolic inverse of a particular Gram matrix is presented, and the numerical stability of the formulas is studied.

"It turns out that generative AI companies don’t like it when you steal, sorry, scrape, images from them. Cue the world’s smallest violin."
In Moment of Unbelievable Irony, Midjourney Accuses Stability AI of Image Theft
https://www.themarysue.com/midjourney-accu

In Moment of Unbelievable Irony, Midjourney Accuses Stability AI of Image Theft
The leopards are eating each others faces

This https://arxiv.org/abs/2306.15725 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csHC_…

Supportive Fintech for Individuals with Bipolar Disorder: Financial Data Sharing Preferences to Support Longitudinal Care Management
Financial stability is a key challenge for individuals living with bipolar disorder (BD). Symptomatic periods in BD are associated with poor financial decision-making, contributing to a negative cycle of worsening symptoms and an increased risk of bankruptcy. There has been an increased focus on designing supportive financial technologies (fintech) to address varying and intermittent needs across different stages of BD. However, little is known about this population's expectations and privacy p…

This https://arxiv.org/abs/2311.15560 has been replaced.
initial toot: https://mastoxiv.page/@a…

The influence of pinholes and weak-points in aluminium-oxide Josephson junctions
Josephson junctions are the key components used in superconducting qubits for quantum computing. The advancement of quantum computing is limited by a lack of stability and reproducibility of qubits which ultimately originates in the amorphous tunnel barrier of the Josephson junctions and other material imperfections. Pinholes in the junction have been suggested as one of the possible contributors to these instabilities, but evidence of their existence and the effect they might have on transport…

Factors influencing the stability of the motor-clutch model on compliant substrates under external load
Beibei Shen, Yunxin Zhang
https://arxiv.org/abs/2402.18363

Factors influencing the stability of the motor-clutch model on compliant substrates under external load
Cellular migration is crucial for biological processes including embryonic development, immune response, and wound healing. The myosin-clutch model is a framework that describes how cells control migration through the interactions between myosin, the clutch mechanism, and the substrate. This model is related to how cells regulate adhesion, generate traction forces, and move on compliant substrates. In this study, we present a five-dimensional nonlinear autonomous system to investigate the influ…

This https://arxiv.org/abs/2404.05469 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Concerning the stability of exponential systems and Fourier matrices
Fourier matrices naturally appear in many applications and their stability is closely tied to performance guarantees of algorithms. The starting point of this article is a result that characterizes properties of an exponential system on a union of cubes in $\mathbb{R}^d$ in terms of a general class of Fourier matrices and their extreme singular values. This relationship is flexible in the sense that it holds for any dimension $d$, for many types of exponential systems (Riesz bases, Riesz sequen…

This https://arxiv.org/abs/2311.06857 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Fusion-equivariant stability conditions and Morita duality
Given a triangulated category $D$ with an action of a fusion category $C$, we study the moduli space $Stab_{C}(D)$ of fusion-equivariant Bridgeland stability conditions on $D$. The main theorem is that the fusion-equivariant stability conditions form a closed, complex submanifold of the moduli space of stability conditions on $D$. As an application of this framework, we generalise a result of Macrì--Mehrotra--Stellari by establishing a homeomorphism between the space of $G$-invariant stability…

Thermodynamics and Dynamic Stability: Extended Theories of Heat Conduction
R. Somogyfoki, A. Fam\`a, L. Restuccia, P. V\'an
https://arxiv.org/abs/2404.17257

Thermodynamics and Dynamic Stability: Extended Theories of Heat Conduction
The fundamental dynamic stability of heat conduction theories beyond Fourier is analyzed in the framework of nonequilibrium thermodynamics. It is shown, that the thermodynamic framework, concave entropy and nonnegative entropy production, can ensure the stability of homogeneous thermodynamic equilibrium. Various special heat conduction theories of Extended Thermodynamics are compared and analysed in the general framework.

Stability and instability of the quasilinear Gross--Pitaevskii dark solitons
Erwan Le Quiniou
https://arxiv.org/abs/2402.18316 https://

Stability and instability of the quasilinear Gross--Pitaevskii dark solitons
We study a quasilinear Schrödinger equation with nonzero conditions at infinity. In previous works, we obtained a continuous branch of traveling waves, given by dark solitons indexed by their speed. Neglecting the quasilinear term, one recovers the Gross--Pitaevskii equation, for which the branch of dark solitons is stable. Moreover, Z.~Lin showed that the Vakhitov--Kolokolov~(VK) stability criterion (in terms of the momentum of solitons) holds for general semilinear equations with nonvanishin…

Neural Interaction Energy for Multi-Agent Trajectory Prediction
Kaixin Shen, Ruijie Quan, Linchao Zhu, Jun Xiao, Yi Yang
https://arxiv.org/abs/2404.16579 h…

Neural Interaction Energy for Multi-Agent Trajectory Prediction
Maintaining temporal stability is crucial in multi-agent trajectory prediction. Insufficient regularization to uphold this stability often results in fluctuations in kinematic states, leading to inconsistent predictions and the amplification of errors. In this study, we introduce a framework called Multi-Agent Trajectory prediction via neural interaction Energy (MATE). This framework assesses the interactive motion of agents by employing neural interaction energy, which captures the dynamics of…

Stability AI debuts Stable Video 3D, a generative AI tool built on its Stable Video Diffusion model, letting users create 3D video from a text or image prompt (Sean Michael Kerner/VentureBeat)
https://venturebeat.com/ai/stability-ai-br…

Stability AI brings a new dimension to video with Stable Video 3D
In a paper, Stability AI researchers detail some of the techniques used to enable 3D from a single image using latent video diffusion.

Fact Check: It's NOT Authentic, That Viral Image of A Candidate Putin 'Stability' Billboard Surrounded By Flames: https://benborges.xyz/2024/03/20/fact-check-its.html

This https://arxiv.org/abs/2309.11703 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Causality and classical dispersion relations
We explore the consequences of relativistic causality and covariant stability for short-wavelength dispersion relations in classical systems. For excitations described by a finite number of partial differential equations, as is the case in relativistic hydrodynamics, we give causality and covariant stability constraints on the excitation's frequency at large momenta.

This https://arxiv.org/abs/2402.11043 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Non-Linear Stability of Spherical Systems in MOND
We prove the non-linear stability of a large class of spherically symmetric equilibrium solutions of both the collisonless Boltzmann equation and of the Euler equations in MOND. This is the first such stability result that is proven with mathematical rigour in MOND. While we strive to prove our stability theorems, we develop new, genuinely Mondian ideas how arising mathematical difficulties can be solved. At some points it was necessary to restrict our analysis to spherical symmetry. We discuss…

Asymptotic behaviour and stability index of v-numbers of graded ideals
Prativa Biswas, Mousumi Mandal, Kamalesh Saha
https://arxiv.org/abs/2402.16583 https…

Asymptotic behaviour and stability index of v-numbers of graded ideals
Recently, Ficarra and Sgroi initiated the study of v-numbers of powers of graded ideals. They proved that for a graded ideal $I$ in a polynomial ring $S$, $\mathrm{v}(I^k)$ is a linear function in $k$ for $k>>0$. Later, Ficarra conjectured that if $I$ is a monomial ideal with linear powers, then $\mathrm{v}(I^k)=α(I)k-1$ for all $k\geq 1$, where $α(I)$ denotes the initial degree of $I$. In this paper, we generalize this conjecture for graded ideals. We prove this conjecture for several classe…

This https://arxiv.org/abs/2306.16674 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

Online learning for robust voltage control under uncertain grid topology
Voltage control generally requires accurate information about the grid's topology in order to guarantee network stability. However, accurate topology identification is challenging for existing methods, especially as the grid is subject to increasingly frequent reconfiguration due to the adoption of renewable energy. In this work, we combine a nested convex body chasing algorithm with a robust predictive controller to achieve provably finite-time convergence to safe voltage limits in the online …

This https://arxiv.org/abs/2401.01336 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Metastability of stratified magnetohydrostatic equilibria and their relaxation
Motivated by explosive releases of energy in fusion, space and astrophysical plasmas, we consider the nonlinear stability of stratified magnetohydrodynamic (MHD) equilibria against interchanges of straight magnetic-flux tubes. We demonstrate that in MHD (unlike in hydrodynamics) linear stability does not guarantee nonlinear stability, even in this simple case. We show that the minimum-energy configurations attainable by metastable equilibria under non-diffusive 2D dynamics can be determined by …

Earlier this week, Stability AI announced Stable Cascade (https://stability.ai/news/introducing-stable-cascade). I got it running locally on my Mac and asked it for "A bear riding a unicycle in the snow".
That prompt continues to stump generative AIs ...…

Introducing Stable Cascade — Stability AI
Today marks the launch of Stable Cascade in its research preview. This innovative text to image model introduces an interesting three-stage approach, setting new benchmarks for quality, flexibility, fine-tuning, and efficiency with a focus on further eliminating hardware barriers.

This https://arxiv.org/abs/2403.00650 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Finite Time Stability Analysis for Fractional Stochastic Neutral Delay Differential Equations
In this manuscript, we delve into the study of a stochastic differential equation with a fractional order and a time delay, encompassing deterministic and stochastic components. Our primary aim is to rigorously establish the existence of a unique solution that follows specified initial conditions, achieved through mathematical analysis. Moreover, we extend our research to investigate the finite-time stability of the system, analyzing trajectory behavior within a specific time frame. Employing a…

Stability AI announces the resignation of Emad Mostaque as CEO and from the board, and names COO Shan Shan Wong and CTO Christian Laforte as interim co-CEOs (Forbes)
https://www.forbes.com/sites/kenrickcai/20

Stability AI Founder Emad Mostaque Plans To Resign As CEO, Sources Say
Mostaque has told a number of people close to him that he plans to step down as chief executive of the once buzzy generative AI startup known for Stable Diffusion.

On a combinatorial classification of fine compactified universal Jacobians
Marco Fava
https://arxiv.org/abs/2403.17871 https://arxiv.…

On a combinatorial classification of fine compactified universal Jacobians
Extending the definition of $V$-stability conditions, given by Viviani in a recent preprint, we introduce the notion of \emph{universal stability conditions}. Building on results by Pagani and Tommasi, we show that fine compactified universal Jacobians, that is, fine compactified Jacobians over the moduli spaces of stable pointed curves $\overline{\mathcal{M}}_{g,n}$, are combinatorially classified by universal stability conditions. We use these stability conditions to show the following. The…

Magnetic filaments: formation, stability, and feedback
Evgeny A. Kuznetsov, Evgeny A. Mikhailov
https://arxiv.org/abs/2402.16989 https://

Magnetic filaments: formation, stability, and feedback
As well known, magnetic fields in space are distributed very inhomogeneously. Some-times field distributions have forms of filaments with high magnetic field values. As many ob-servations show, such a filamentation takes place in convective cells in the Sun and other astro-physical objects. This effect is associated with the frozenness of the magnetic field into a medium with high conductivity that leads to compression of magnetic field lines and forming magnetic filaments. We show analytically…

This https://arxiv.org/abs/2303.15588 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Square Root LASSO: Well-posedness, Lipschitz stability and the tuning trade off
This paper studies well-posedness and parameter sensitivity of the Square Root LASSO (SR-LASSO), an optimization model for recovering sparse solutions to linear inverse problems in finite dimension. An advantage of the SR-LASSO (e.g., over the standard LASSO) is that the optimal tuning of the regularization parameter is robust with respect to measurement noise. This paper provides three point-based regularity conditions at a solution of the SR-LASSO: the weak, intermediate, and strong assumptio…

On the Stability of the $s$-Nonlocal $p$-Obstacle Problem and their Coincidence Sets and Free Boundaries
Catharine W. K. Lo, Jos\'e Francisco Rodrigues
https://arxiv.org/abs/2402.18106

On the Stability of the $s$-Nonlocal $p$-Obstacle Problem and their Coincidence Sets and Free Boundaries
We show that the solutions to the nonlocal obstacle problems for the nonlocal $-Δ_p^s$ operator, when the fractional parameter $s\toσ$ for $0<σ\leq1$, converge to the solution of the corresponding obstacle problem for $-Δ_p^σ$, being $σ=1$ the classical obstacle problem for the local $p$-Laplacian. We discuss the weak stability of the quasi-characteristic functions of coincidence sets of the solution with the obstacle, which is a strong convergence of their characteristic functions when $…

This https://arxiv.org/abs/2307.12808 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A Quillen Stability Criterion for Bounded Cohomology
We provide a version of Quillen's homological stability criterion for continuous bounded cohomology. This criterion is exploited in the companion paper (arXiv:2201.03879) in order to derive new bounded cohomological stability results for various families of classical groups.

Dynamical stability of bootstrapped Newtonian stars
Octavian Micu
https://arxiv.org/abs/2402.15323 https://arxiv.org/pdf/2402.15323…

Dynamical stability of bootstrapped Newtonian stars
We investigate the dynamical stability of bootstrapped Newtonian stars following homologous adiabatic perturbations, focusing on objects of low or intermediate compactness. The results show that for stars with homogeneous densities these perturbations induce some oscillatory behaviour regardless of their compactness, density and adiabatic index, which makes them dynamically stable. In the case or polytropes with density profiles approximated by Gaussian distributions, both stable and unstable b…

An Energy Stable Well-balanced Scheme for the Barotropic Euler System with Gravity under the Anelastic Scaling
K. R. Arun, Mainak Kar
https://arxiv.org/abs/2405.00559

An Energy Stable Well-balanced Scheme for the Barotropic Euler System with Gravity under the Anelastic Scaling
We design and analyse an energy stable, structure preserving, well-balanced and asymptotic preserving (AP) scheme for the barotropic Euler system with gravity in the anelastic limit. The key to energy stability is the introduction of appropriate velocity shifts in the convective fluxes of mass and momenta. The semi-implicit in time and finite volume in space fully-discrete scheme supports the positivity of density and yields the consistency with the weak solutions of the Euler system upon mesh …

Consensus Innovations Approach for Online Distributed Multi-Area Inertia Estimation
Nicolai Lorenz-Meyer, Hans W\"urfel, Johannes Schiffer
https://arxiv.org/abs/2404.19569 …

Consensus + Innovations Approach for Online Distributed Multi-Area Inertia Estimation
The reduction of overall system inertia in modern power systems due to the increasing deployment of distributed energy resources is generally recognized as a major issue for system stability. Consequently, real-time monitoring of system inertia is critical to ensure a reliable and cost-effective system operation. Large-scale power systems are typically managed by multiple transmission system operators, making it difficult to have a central entity with access to global measurement data, which is…

Role of stress/strain in tailoring the magnetic and transport properties of magnetic thin films and multilayers
Arun Singh Dev, Dileep Kumar
https://arxiv.org/abs/2405.00049

Role of stress/strain in tailoring the magnetic and transport properties of magnetic thin films and multilayers
Magnetic anisotropy is a fundamental property of magnetic materials that determines the alignment of the spins along the preferential direction, called the easy axis of magnetization. Magnetic polycrystalline thin films offer several advantages over magnetic epitaxial thin films because of fabrication flexibility, higher coercivity and improved magnetic stability, higher magnetoresistance (useful in magneto-resistive devices such as magnetic field sensors and MRAM cells), cost-effectiveness and…

Sources: Stability AI founder Emad Mostaque plans to step down as CEO, following the departure of a group of researchers who helped develop Stable Diffusion (Forbes)
https://www.forbes.com/sites/kenrickcai/20

Stability AI Founder Emad Mostaque Plans To Resign As CEO, Sources Say
Mostaque has told a number of people close to him that he plans to step down as chief executive of the once buzzy generative AI startup known for Stable Diffusion.

Stability and Elasticity of Ultrathin Sphere-Patterned Block Copolymer Films
Le Qiao, Daniel A. Vega, Friederike Schmid
https://arxiv.org/abs/2404.18129 ht…

Stability and Elasticity of Ultrathin Sphere-Patterned Block Copolymer Films
Sphere-patterned ultrathin block copolymers films are potentially interesting for a variety of applications in nanotechnology. We use self-consistent field theory to investigate the elastic response of sphere monolayer films with respect to in-plane shear, in-plane extension and compression deformations, and with respect to bending. The relations between the in-plane elastic moduli is roughly compatible with the expectations for two-dimensional elastic systems with hexagonal symmetry, with one …

In This Leap Year, Will We Finally Make the Leap Down to Price Stability?
#RealEstate #MoodysCRE #MA_CRESolutions

On the Stability of the $s$-Nonlocal $p$-Obstacle Problem and their Coincidence Sets and Free Boundaries
Catharine W. K. Lo, Jos\'e Francisco Rodrigues
https://arxiv.org/abs/2402.18106

On the Stability of the $s$-Nonlocal $p$-Obstacle Problem and their Coincidence Sets and Free Boundaries
We show that the solutions to the nonlocal obstacle problems for the nonlocal $-Δ_p^s$ operator, when the fractional parameter $s\toσ$ for $0<σ\leq1$, converge to the solution of the corresponding obstacle problem for $-Δ_p^σ$, being $σ=1$ the classical obstacle problem for the local $p$-Laplacian. We discuss the weak stability of the quasi-characteristic functions of coincidence sets of the solution with the obstacle, which is a strong convergence of their characteristic functions when $…

Stability of the Standard Model vacuum with respect to vacuum tunneling to the Komatsu vacuum in the cMSSM
Hyukjung Kim, Ewan D. Stewart, Heeseung Zoe
https://arxiv.org/abs/2404.16337

Stability of the Standard Model vacuum with respect to vacuum tunneling to the Komatsu vacuum in the cMSSM
We investigate the stability of the Standard Model vacuum with respect to vacuum tunneling to the Komatsu vacuum, which exists when $m_L^2 + m_{H_u}^2<0$, in the cMSSM. Employing the numerical tools \verb|SARAH|, \verb|SPheno| and \verb|CosmoTransitions|, we scan and constrain the parameter space of the cMSSM up to 10 TeV. Regions excluded due to having a vacuum tunneling half-life less than the age of the observable universe are concentrated near the regions where…

This https://arxiv.org/abs/2311.09408 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Decentralized Feedback Optimization via Sensitivity Decoupling: Stability and Sub-optimality
Online feedback optimization is a controller design paradigm for optimizing the steady-state behavior of a dynamical system. It employs an optimization algorithm as a dynamic feedback controller and utilizes real-time measurements to bypass knowing exact plant dynamics and disturbances. Different from existing centralized settings, we present a fully decentralized feedback optimization controller for networked systems to lift the communication burden and improve scalability. We approximate the …

Non-Linear Stability of Spherical Systems in MOND
Joachim Frenkler
https://arxiv.org/abs/2402.11043 https://arxiv.org/pdf/2402.11043<…

Non-Linear Stability of Spherical Systems in MOND
We prove the non-linear stability of a large class of spherically symmetric equilibrium solutions of both the collisonless Boltzmann equation and of the Euler equations in MOND. This is the first such stability result that is proven with mathematical rigour in MOND. While we strive to prove our stability theorems, we develop new, genuinely Mondian ideas how arising mathematical difficulties can be solved. At some points it was necessary to restrict our analysis to spherical symmetry. We discuss…

This https://arxiv.org/abs/2401.00600 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Stability conditions and semiorthogonal decompositions I: quasi-convergence
We develop a framework relating semiorthogonal decompositions of a triangulated category $\mathcal{C}$ to paths in its space of stability conditions. We prove that when $\mathcal{C}$ is the homotopy category of a smooth and proper idempotent complete pre-triangulated dg-category, every semiorthogonal decomposition whose factors admit a Bridgeland stability condition can be obtained from our framework.

This https://arxiv.org/abs/2309.11708 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Stability and causality criteria in linear mode analysis: stability means causality
Causality and stability are fundamental requirements for the differential equations describing predictable relativistic many-body systems. In this work, we investigate the stability and causality criteria in linear mode analysis. We discuss the updated stability criterion in 3+1 dimensional systems and introduce the improved sufficient criterion for causality. Our findings clearly demonstrate that stability implies causality in linear mode analysis. Furthermore, based on the theorems present in…

Asymptotically Compatible Fractional Gr\"onwall Inequality and its Applications
Daopeng Yin, Liquan Mei
https://arxiv.org/abs/2404.19170 https://

Asymptotically Compatible Fractional Grönwall Inequality and its Applications
In this work, we will give proper estimates for the discrete convolution complementary (DCC) kernels, which leads to the asymptotically compatible fractional Grönwall inequality. The consequence can be applied in the analysis of the stability and pointwise-in-time error of difference-type schemes on a non-uniform mesh. The pointwise error is explicitly bound when a non-uniform time grid is given by a specific scale function e.g. graded mesh, can be given directly. Numerical experiments towards…

Stability AI makes Stable Diffusion 3 available to developers via an API and a new Stable Assistant Beta content creation platform; the model remains in preview (The Verge)
https://www.theverge.com/2024/4/17/24132927/stable-diffusion-3-…

Stability AI is giving more developers access to its next-gen text-to-image generator
Stability AI has released the API for Stable Diffusion 3, the latest version of its text-to-image model. It’s now available to developers on its Developer Platform.

This https://arxiv.org/abs/2402.08709 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Stability analysis of a dark energy model in Rastall gravity
We study a cosmological model in Rastall's theory of gravity in the framework of the flat FLRW metric. We formulate the value of the Hubble parameter, which contains two model parameters, $ α$ and $ j $. Employing the Markov Chain Monte Carlo (MCMC) sampling technique, we determine the values of these model parameters along with their uncertainties. Moreover, we derive the equation of state (EoS) parameter, which converges around the quintessence region. We perform a dynamical system analysis …

Na Vacancy Driven Phase Transformation and Fast Ion Conduction in W-doped Na$_3$SbS$_4$ from Machine Learning Force Fields
Johan Klarbring, Aron Walsh
https://arxiv.org/abs/2403.20138

Na Vacancy Driven Phase Transformation and Fast Ion Conduction in W-doped Na$_3$SbS$_4$ from Machine Learning Force Fields
Solid-state sodium batteries require effective electrolytes that conduct at room temperature. The Na$_3$SbS$_4$ (Pn = P, Sb; Ch = S, Se) family have been studied for their high Na ion conductivity. The population of Na vacancies, which mediate ion diffusion in these materials, can be enhanced through aliovalent doping on the pnictogen site. To probe the microscopic role of extrinsic doping, and its impact on diffusion and phase stability, we trained a machine learning force field for Na$_{3-x}$…

This https://arxiv.org/abs/2212.01554 has been replaced.
link: https://scholar.google.com/scholar?q=a

Distributionally Robust Lyapunov Function Search Under Uncertainty
This paper develops methods for proving Lyapunov stability of dynamical systems subject to disturbances with an unknown distribution. We assume only a finite set of disturbance samples is available and that the true online disturbance realization may be drawn from a different distribution than the given samples. We formulate an optimization problem to search for a sum-of-squares (SOS) Lyapunov function and introduce a distributionally robust version of the Lyapunov function derivative constrain…

Fractional Order Sunflower Equation: Stability, Bifurcation and Chaos
Deepa Gupta, Sachin Bhalekar
https://arxiv.org/abs/2404.17321 https://

Fractional Order Sunflower Equation: Stability, Bifurcation and Chaos
The sunflower equation describes the motion of the tip of a plant due to the auxin transportation under the influence of gravity. This work proposes the fractional-order generalization to this delay differential equation. The equation contains two fractional orders and infinitely many equilibrium points. The coefficients in the linearized equation near the equilibrium points are delay-dependent. We provide a detailed stability analysis of each equilibrium point. We observed the following bifurc…

Sources: Stability AI CEO Emad Mostaque told staff last week that Robin Rombach and other researchers, the key creators of Stable Diffusion, have resigned (Forbes)
https://www.forbes.com/sites/iainmartin/20

Key Stable Diffusion Researchers Leave Stability AI As Company Flounders
Robin Rombach and a group of key researchers that helped develop the Stable Diffusion text-to-image generation model have left the troubled generative AI startup.

Stability of partially congested travelling wave solutions for the extended Aw-Rascle system
\'Emile Del\'eage, Muhammed Ali Mehmood
https://arxiv.org/abs/2404.17406

Stability of partially congested travelling wave solutions for the extended Aw-Rascle system
We prove the non-linear stability of a class of travelling-wave solutions to the extended Aw-Rascle system with a singular offset function, which is formally equivalent to the compressible pressureless Navier-Stokes system with a singular viscosity. These solutions encode the effect of congestion by connecting a congested left state to an uncongested right state, and may also be viewed as approximations of solutions to the 'hard-congestion model'. By using carefully weighted energy estimates we…

This https://arxiv.org/abs/2105.08419 has been replaced.
link: https://scholar.google.com/scholar?q=a

A sparse ADMM-based solver for linear MPC subject to terminal quadratic constraint
Model Predictive Control (MPC) typically includes a terminal constraint to guarantee stability of the closed-loop system under nominal conditions. In linear MPC this constraint is generally taken on a polyhedral set, leading to a quadratic optimization problem. However, the use of an ellipsoidal terminal constraint may be desirable, leading to an optimization problem with a quadratic constraint. In this case, the optimization problem can be solved using Second Order Cone (SOC) programming solve…

Moduli of stable sheaves on quadric threefold
Song Yang
https://arxiv.org/abs/2402.18098 https://arxiv.org/pdf/2402.18098

Moduli of stable sheaves on quadric threefold
For each $0<α<\frac{1}{2}$, there exists a Bayer--Lahoz--Macr{\`ı}--Stellari's inducing Bridgeland stability condition $σ(α)$ on a Kuznetsov component $\mathrm{Ku}(Q)$ of the smooth quadric threefold $Q$. We obtain the non-empty of the moduli space $M_{σ(α)}([\mathcal{P}_{x}])$ of $σ(α)$-semistable objects in $\mathrm{Ku}(Q)$ with the numerical class $[\mathcal{P}_{x}]$, where $\mathcal{P}_{x}\in \mathrm{Ku}(Q)$ is the projection sheaf of the skyscraper sheaf at a closed point $x\in Q$.…

This https://arxiv.org/abs/2403.06984 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Intraspecific and monotone enzyme catalysis with oscillatory substrate and inhibitor supplies
Enzyme catalysis in reactors for industrial applications usually require an external intervention of the species involved in the chemical reactions. We analyze the most elementary open enzyme catalysis with competitive inhibition where a time-dependent inflow of substrate and inhibitor supplies is modeled by almost periodic functions. We prove global stability of an almost periodic solution for the non-autonomous dynamical system arising from the mass-law action. This predicts a well behaved si…

Stability-Oriented Prediction Horizons Design of Generalized Predictive Control for DC/DC Boost Converter
Yuan Li, Subham Sahoo, Sergio Vazquez, Yichao Zhang, Tomislav Dragicevic, Frede Blaabjerg
https://arxiv.org/abs/2404.16391

Stability-Oriented Prediction Horizons Design of Generalized Predictive Control for DC/DC Boost Converter
This paper introduces a novel approach in designing prediction horizons on a generalized predictive control for a DC/DC boost converter. This method involves constructing a closed-loop system model and assessing the impact of different prediction horizons on system stability. In contrast to conventional design approaches that often rely on empirical prediction horizon selection or incorporate non-linear observers, the proposed method establishes a rigorous boundary for the prediction horizon to…

Stability AI details Stable Cascade, a new image generation model built on a different architecture to SDXL to improve performance and accuracy, now in preview (Sean Michael Kerner/VentureBeat)
https://venturebeat.com/a…

What comes after Stable Diffusion? Stable Cascade could be Stability AI’s future text-to-image generative AI model
Stable Cascade uses somewhat of a different architecture than SDXL to generate images that Stability AI researchers hope will be more efficient.

This https://arxiv.org/abs/2206.00899 has been replaced.
link: https://scholar.google.com/scholar?q=a

Stability of Chandrasekhar's nonlinear force-free fields
Chandrasekhar's nonlinear force-free field, discovered in 1956, is a rare example of a nonlinear force-free field describing a large coherent structure of axisymmetric magnetic field lines with swirls in the presence of Alfvén waves. We demonstrate that his traveling wave solution is orbitally stable with the energy norm in ideal MHD regarding weak ideal limits of axisymmetric Leray-Hopf solutions.

This https://arxiv.org/abs/2308.07917 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Degenerate Stability of the Caffarelli-Kohn-Nirenberg Inequality along the Felli-Schneider Curve
We show that the Caffarelli-Kohn-Nirenberg (CKN) inequality holds with a remainder term that is quartic in the distance to the set of optimizers for the full parameter range of the Felli-Schneider (FS) curve. The fourth power is best possible. This is due to the presence of non-trivial zero modes of the Hessian of the deficit functional along the FS-curve. Following an iterated Bianchi-Egnell strategy, the heart of our proof is verifying a `secondary non-degeneracy condition'. Our result comple…

A closure theorem for $\Gamma$-convergence and H-convergence with applications to non-periodic homogenization
Andrea Braides, Gianni Dal Maso, Claude Le Bris
https://arxiv.org/abs/2402.19031

A closure theorem for $Γ$-convergence and H-convergence with applications to non-periodic homogenization
In this work we examine the stability of some classes of integrals, and in particular with respect to homogenization. The prototypical case is the homogenization of quadratic energies with periodic coefficients perturbed by a term vanishing at infinity, which has been recently examined in the framework of elliptic PDE. We use localization techniques and higher-integrability Meyers-type results to provide a closure theorem by $Γ$-convergence within a large class of integral functionals. From su…

On the Incompressible Limit of Current-Vortex Sheets with or without Surface Tension
Junyan Zhang
https://arxiv.org/abs/2405.00421 https://

On the Incompressible Limit of Current-Vortex Sheets with or without Surface Tension
This is the second part of the two-paper sequence, which aims to present a comprehensive study for compressible current-vortex sheets with or without surface tension in ideal compressible magnetohydrodynamics (MHD). The results of this paper are two-fold: First, we establish the zero-surface-tension limit of compressible current-vortex sheets under certain stability conditions on the free interface; Second, when the two-phase flows are isentropic and the density functions converge to the same c…

Stability AI releases Stable Audio 2.0, letting users create three minute sound clips from copyright-free audio samples, available for free via its website (Emilia David/The Verge)
https://www.theverge.com/2024/4/3/24119438/stability-ai-audio-…

AI-generated songs are getting longer, not necessarily better
Stability AI’s Stable Audio 2.0 updates the platform's first version by letting users upload clips, generate longer songs, and have more control over crafting the songs.

An interview with Slack CEO Denise Dresser about bringing her own personality to the job, plans to use generative AI, competing with Microsoft Teams, and more (Ron Miller/TechCrunch)
https://techcrunch.com/2024/03/09/slack-ceo-looks-t…

Slack’s new CEO looks to bring stability after a turbulent period | TechCrunch
Slack's newest CEO is the third in less than a year, and she's looking to bring stability to a division that has dealt with a lot of changes.

This https://arxiv.org/abs/2402.14082 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Landau damping, collisionless limit, and stability threshold for the Vlasov-Poisson equation with nonlinear Fokker-Planck collisions
In this paper, we study the Vlasov-Poisson-Fokker-Planck (VPFP) equation with a small collision frequency $0 < ν\ll 1$, exploring the interplay between the regularity and size of perturbations in the context of the asymptotic stability of the global Maxwellian. Our main result establishes the Landau damping and enhanced dissipation phenomena under the condition that the perturbation of the global Maxwellian falls within the Gevrey-$\frac{1}{s}$ class and obtain that the stability threshold for…