In this article, we survey some controversial problems concerning the idea of erasing Which Way information proposed in recent years. A statistical examination of these proposals suggests that whenever the Bayesian rule is taken into account for tw...
Manage your health with the NHS App The NHS App gives you quick and secure patient access to your GP services, all in one place — wherever and whenever you need them. Message your practice …
Let R be a commutative ring with identity. A prime submodule P of an R-module M is called coprimely structured if, whenever P is coprime to each element of an arbitrary family of submodules of M, the intersection of the family is not contained in P....
Whenever people talk about the “golden couples” Amber and Barnett are never included and I never understood why??? Amber and Barnett I think had a very honest and transparent journey through the e...
Hello! We adopted our sweet golden this week and she seems incredibly food-driven. We have always kept our dog food bowls full so our pups can eat whenever and we’ve never had a pup that overate o...
Let $R$ be a commutative Noetherian ring, $\fa$ an ideal of $R$, $M$ an arbitrary $R$-module and $X$ a finite $R$-module. We prove that the category of $\fa$-cominimax modules is a Melkersson subcategory of $R$-modules whenever $\dim R\leq 1$ and i...
This study addresses a critical gap in safety tuning practices for Large Language Models (LLMs) by identifying and tackling a refusal position bias within safety tuning data, which compromises the models' ability to appropriately refuse generating un...
I love the YJS and YYS chemistry, they are really funny together. I enjoy the show also. But I genuinely get nervous while watching the show. The games are difficult and the stakes are kinda high for ...
This work initiates a general study of learning and generalization without the i.i.d. assumption, starting from first principles. While the traditional approach to statistical learning theory typically relies on standard assumptions from probability...
We study the dynamics of a quantum system $Γ$ with an environment $Ξ$ made of $N$ elementary quantum components. We aim at answering the following questions: can the evolution of $Γ$ be characterized by some general features when $N$ becomes very...
This open problem asks whether there exists an online learning algorithm for binary classification that guarantees, for all target concepts, to make a sublinear number of mistakes, under only the assumption that the (possibly random) sequence of poin...
Realistic crowd simulations are essential for immersive virtual environments, relying on both individual behaviors (microscopic dynamics) and overall crowd patterns (macroscopic characteristics). While recent data-driven methods like deep reinforceme...
Extremum seeking control (ESC) are optimization algorithms in continuous time, with model-based ESCs using true derivative information of the cost function and model-free ESCs utilizing perturbation-based estimates instead. Stability analysis of mode...
Consider the following asynchronous, opportunistic communication model over a graph $G$: in each round, one edge is activated uniformly and independently at random and (only) its two endpoints can exchange messages and perform local computations. Und...
I discovered an app called Mixy where you can mix different songs together, and it’s so much fun to hear Megan’s vocals over different beats. (Nothing against the original beat let’s be clear I ...