A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
The paper classifies algebraic curves in 4-balls and their boundaries.
New method classifies -boundaries up to 6 crossings.
An oriented link L in a 3-sphere S in complex 2-space is a C-boundary if it bounds a piece of algebraic curve in the 4-ball bounded by S. Using Kronheimer and Mrowka's proof of the Thom Conjecture, we construct many oriented knots which are not concordant to a C-boundary. We use the two-variable HOMFLY polynomial to gi…
The notion of a causal boundary for a spacetime has been a controversial topic during the last three decades. Moreover, recently the role of the boundary in the AdS/CFT correspondence for plane waves, have stimulated its redefinition with some possible alternatives. Our aim is threefold. First, to review the different …
We construct an example which shows that two isocausal spacetimes, in the sense introduced by García-Parrado and Senovilla, may have c-boundaries which are not equal (more precisely, not equivalent, as no bijection between the completions can preserve all the binary relations induced by causality). This example also su…
Recently, a new viewpoint on the classical c-boundary in Mathematical Relativity has been developed, the relations of this boundary with the conformal one and other classical boundaries have been analyzed, and its computation in some classes of spacetimes, as the standard stationary ones, has been carried out. In the p…
We show that for every compact domain in a Euclidean space with d.c. (delta-convex) boundary there exists a unique Legendrian cycle such that the associated curvature measures fulfil a local version of the Gauss-Bonnet formula. This was known in dimensions two and three and was open in higher dimensions. In fact, we sh…
We give new definitions of null infinity and black hole in terms of causal boundaries, applicable to any strongly causal spacetime . These are meant to extend the standard ones given in terms of conformal boundaries, and use the new definitions to prove a classic result in black hole theory for this more general…
On a compact complex manifold we study the behaviour of strong Kähler with torsion (strong KT) structures under small deformations of the complex structure and the problem of extension of a strong KT metric. In this context we obtain the analogous result of Miyaoka extension theorem. Studying the blow-up of a strong KT…
The paper characterizes strong Hamel functions using symmetries and proves their preservation properties.
Strong corks derived from previous work are proven.
Study on compact strong HKT manifolds and their properties.
We study a class of 3-manifolds called strong L-spaces, which by definition admit a certain type of Heegaard diagram that is particularly simple from the perspective of Heegaard Floer homology. We provide evidence for the possibility that every strong L-space is the branched double cover of an alternating link in the t…
RAVEN improves weak-to-strong generalization under distribution shifts.
The study connects hypergraphs to strong homotopy Lie algebras.
Optimal algorithm converts weak to strong learner with less data.
The study explores the strengths and weaknesses of models that generalize from weak to strong supervision.
New model shows weak teachers can help strong students learn even with imperfect labels.
We introduce the notion of a strong L-space, a closed, oriented rational homology 3-sphere whose Heegaard Floer homology can be determined at the chain level. We prove that the fundamental group of a strong L-space is not left-orderable. Examples of strong L-spaces include the double branched covers of alternating link…
The strong symmetric genus of a finite group is the minimum genus of a compact Riemann surface on which the group acts as a group of automorphisms preserving orientation. A characterization of the infinite number of groups with strong symmetric genus zero and one is well-known and the problem is finite for each strong …
Study strong Nielsen equivalence on punctured disc homeomorphisms.
Survey on strong closing lemmas in Hamiltonian dynamics.
The study proves strong cosmic censorship violation for spherically symmetric dust clouds.
Strong geodesic convex function and strong monotone vector field of order on Riemannian manifolds have been established. A characterization of strong geodesic convex function of order for the continuously differentiable functions has been discussed. The relation between the solution of a new variational inequal…
The study shows strong formality in certain complex manifolds.
Formalizes weak and strong verification for LLMs, controlling errors without assumptions.
Study strong inversions on knots using Khovanov homology.
The paper proves strong holomorphic Morse inequalities on complex manifolds with optimal estimates.
Strong Frankel theorem for shrinkers in all dimensions.
Random feature models can outperform a weak teacher with early stopping.
We show that, under some technical conditions, the Strong Slope Conjecture proposed by Kalfagianni and Tran is closed under connect sums and cabling. As an application, we establish the Strong Slope Conjecture for graph knots.
Existence of strong randomized equilibria in mean-field games with common noise.
We introduce and develop fine shape, which has a very simple definition and aims to supersede all previously known shape theories for metrizable spaces. The problem with known shape theories of metrizable spaces is illustrated by the following bizarre situation. Čech cohomology is an invariant of shape, and a fortiori …
Study shows strong min-max principle for phase transitions.
We provide new conditions for the Strong Atiyah conjecture to lift to finite group extensions. In particular, we show cocompact special groups satisfy these conditions, so the Strong Atiyah conjecture holds for virtually cocompact special groups.
Study on interest rate model with jumps, proving strong convergence in simulations.
Short proof of Strong Haken Theorem for 3-manifolds.
Paper analyzes weak-to-strong generalization in CNNs, identifying data-scarce and data-abundant regimes.
New examples show strong Kato limits can be branching and not satisfy known conditions.
In this paper we construct six-dimensional compact non-Kähler Hamiltonian circle manifolds which satisfy the strong Lefschetz property themselves but nevertheless have a non-Lefschetz symplectic quotient. This provides the first known counter examples to the question whether the strong Lefschetz property descends to th…
In this paper, we investigate special curves on a strong r-helix submanifold in Euclidean n-space E n. Also, we give the important relations between strong r-helix submanifolds and the special curves such as line of curvature, geodesic and slant helix.
FastAdaBelief improves convergence rate of AdaBelief by exploiting strong convexity.
Regularization plays an important role in generalization of deep neural networks, which are often prone to overfitting with their numerous parameters. L1 and L2 regularizers are common regularization tools in machine learning with their simplicity and effectiveness. However, we observe that imposing strong L1 or L2 reg…
Study shows how a strong model can learn a task's feature while retaining other capabilities.
New framework transfers latent knowledge from weak to strong models.
The study examines different types of equilibria for stopping problems in one-dimensional diffusion processes.
New Poisson manifolds created over 2-tori.
The strong symmetric genus of a finite group G is the smallest genus of a closed orientable topological surface on which G acts faithfully as a group of orientation preserving automorphisms. In this paper we complete the calculation of the strong symmetric genus for each finite Coxeter group excluding the group E8.