Moment Invariants
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Varifold Moment Invariants for Sustainable and Explainable Contour Feature Extraction
arXiv:2606.07333v1 Announce Type: new Abstract: We introduce Varifold Moments Invariants (VMI) as a unifying framework for many previously introduced Moment Invariants. These invariants are deeply related to other contour features that are invariant under translations and rotations, like Extended Gaussian Image, Elliptic Fourier Descriptors or Shape Distributions. The advantage of the varifold approach to moments consists in being able to combine the geometry of the region, its boundary, and...
Explicit numerical approximations for McKean-Vlasov stochastic differential equations in finite and infinite time
arXiv:2401.02878v5 Announce Type: replace-cross Abstract: Inspired by the stochastic particle method, this paper establishes an easily implementable explicit numerical method for McKean-Vlasov stochastic differential equations (MV-SDEs) with superlinear growth coefficients. The paper establishes the theory on the propagation of chaos in the $L^{q}$ sense.
Scale-Invariant Neural Network Optimization: Norm Geometry and Heavy-Tailed Noise
arXiv:2605.18528v2 Announce Type: replace-cross Abstract: A growing lesson from neural network optimization is that optimizer design should respect how the model is parametrized. Scale-invariant methods become important because their normalized layerwise updates can not only support hyperparameter transfer across model sizes but exploit input-output matrix norm geometry. At the same time, stochastic gradient noises in deep learning are often far from sub-Gaussian and may exhibit heavy tails.
More than Butter Chicken: Why India can't stop craving Punjabi food
Before the proliferation of Chinese, Italian, and Continental eateries that now punctuate every street in India, there existed a more elemental culinary language- steaming bowls of dal tadka, flaky parathas slick with ghee, and thick, cooling lassis. These were not merely dishes but rituals, flavours that stitched together households and holidays, that lent a gentle, incandescent warmth to family outings and turned mundane evenings into pockets of solace. Punjabi food, with its unabashed...
When Freshness Is Not Enough: Distribution-Aware Age of Information for Networked LQR Control
arXiv:2606.04361v1 Announce Type: new Abstract: Age of Information (AoI) has become a central metric for the design of wireless update systems, especially in applications where fresh measurements support tracking, estimation, and control. Despite its popularity, the use of mean AoI or peak AoI as a surrogate for closed-loop performance is often motivated by intuition rather than by a control-theoretic derivation. This paper examines whether minimizing the mean AoI is in fact optimal for...
Kim Kardashian ignores Martin Brundle at Monaco GP as Sky F1 star says 'don't push me'
Kim Kardashian ignores Martin Brundle at Monaco GP as Sky F1 star says 'don't push me' Sky Sports' Martin Brundle had an eventful Monaco Grand Prix grid walk as Kim Kardashian, on the grid for the first time as Lewis Hamilton's girlfriend, declined his interview request Martin Brundle told a bodyguard: 'Don't push me, mate' as he attempted but ultimately failed to secure a quick chat with Kim Kardashian during his Monaco Grand Prix grid walk. The global superstar made her first appearance on...
Mina the Hollower review – squeaky fresh fun full of vintage magic
PC, PlayStation 5, Nintendo Switch, Nintendo Switch 2, Xbox; Yacht Club GamesThis brilliant adventure creates a whole world from one character with a unique abilityYou could mistake Mina the Hollower for something found on the liquid-crystal display of a Game Boy Color around the turn of the millennium. Like the pocketable Zelda and Pokémon games of the time, it presents a kind of snow-globe reality that you peer into from above, relying on imagination to decipher each two-colour clump of...
Mina the Hollower review – squeaky fresh fun full of vintage magic
PC, PlayStation 5, Nintendo Switch, Nintendo Switch 2, Xbox; Yacht Club GamesThis brilliant adventure creates a whole world from one character with a unique abilityYou could mistake Mina the Hollower for something found on the liquid-crystal display of a Game Boy Color around the turn of the millennium. Like the pocketable Zelda and Pokémon games of the time, it presents a kind of snow-globe reality that you peer into from above, relying on imagination to decipher each two-colour clump of...
Optimal Control and Dissipativity of Linear Hermitian Matrix-Valued Dynamical Systems
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Pre-Modern Armies for Worldbuilders, Part I: Why They Fight
This week I want to try something a little different. Rather than taking apart a particular fantasy military system, I thought I might try to lay out a more general sense of how military systems tend to map on to societies, both because such general historical frameworks are handy for thinking about the past, but also because they make useful rules of thumb for imagining fantastical societies. So essentially here we are asking: how do societies end up with the sort of armies they have?