Tootfinder

A Survey of Link Prediction in N-ary Knowledge Graphs
Jiyao Wei, Saiping Guan, Da Li, Xiaolong Jin, Jiafeng Guo, Xueqi Cheng
https://arxiv.org/abs/2506.08970

A Survey of Link Prediction in N-ary Knowledge Graphs
N-ary Knowledge Graphs (NKGs) are a specialized type of knowledge graph designed to efficiently represent complex real-world facts. Unlike traditional knowledge graphs, where a fact typically involves two entities, NKGs can capture n-ary facts containing more than two entities. Link prediction in NKGs aims to predict missing elements within these n-ary facts, which is essential for completing NKGs and improving the performance of downstream applications. This task has recently gained significan…

This https://arxiv.org/abs/2412.02003 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Polynomial algorithm for alternating link equivalence
Link equivalence up to isotopy in a 3-space is the problem that lies at the root of knot theory, and is important in 3-dimensional topology and geometry. We consider its restriction to alternating links, given by two alternating diagrams with $n_1$ and $n_2$ crossings, and show that this problem has polynomial algorithm in terms of $max\{n_1, n_2\}$. For the proof, we use Tait flyping conjectures, observations stemming from the work of Lackenby, Menasco, Sundberg and Thistlethwaite on alternati…

from my link log —
Faster remainder by multiplication, with applications to compilers and software libraries.
https://arxiv.org/abs/1902.01961
saved 2021-05-23

Faster Remainder by Direct Computation: Applications to Compilers and Software Libraries
On common processors, integer multiplication is many times faster than integer division. Dividing a numerator n by a divisor d is mathematically equivalent to multiplication by the inverse of the divisor (n / d = n x 1/d). If the divisor is known in advance---or if repeated integer divisions will be performed with the same divisor---it can be beneficial to substitute a less costly multiplication for an expensive division. Currently, the remainder of the division by a constant is computed from…

Helt klart skönt sväng me go text
https://song.link/se/i/1812386334 Lastkaj 14 & ska n ska : Sverigedemokrat

This https://arxiv.org/abs/2208.00676 has been replaced.
link: https://scholar.google.com/scholar?q=a

A Pansiot-type subword complexity theorem for automorphisms of free groups
Inspired by Pansiot's work on substitutions, we prove a similar theorem for automorphisms of a free group F of finite rank: if a right-infinite word X represents an attracting fixed point of an automorphism of F, the subword complexity of X is equivalent to n, n log log n, n log n, or n^2. The proof uses combinatorial arguments analogue to Pansiot's as well as train tracks. We also define the recurrence complexity of X, and we apply it to laminations. In particular, we show that attracting lami…

This https://arxiv.org/abs/2007.07190 has been replaced.
link: https://scholar.google.com/scholar?q=a

Anomalous dimensions for $ϕ^n$ in scale invariant $d=3$ theory
Recently it was shown that the scaling dimension of the operator $ϕ^n$ in scale-invariant $d=3$ theory may be computed semiclassically, and this was verified to leading order (two loops) in perturbation theory at leading and subleading $n$. Here we extend this verification to six loops, once again at leading and subleading $n$. We then perform a similar exercise for a theory with a multiplet of real scalars and an $O(N)$ invariant hexic interaction. We also investigate the strong-coupling regi…

This https://arxiv.org/abs/2205.10143 has been replaced.
link: https://scholar.google.com/scholar?q=a

On the classification of non-big Ulrich vector bundles on fourfolds
We give an almost complete classification of non-big Ulrich vector bundles on fourfolds. This allows to classify them in the case of Picard rank one fourfolds, of Mukai fourfolds and in the case of Del Pezzo $n$-folds for $n \le 4$. We also classify Ulrich bundles with non-big determinant on Del Pezzo and Mukai $n$-folds, $n \ge 2$.

This https://arxiv.org/abs/2303.03489 has been replaced.
link: https://scholar.google.com/scholar?q=a

Large time behavior for the 3D Navier-Stokes with Navier boundary conditions
We study the three-dimensional incompressible Navier-Stokes equations in a smooth bounded domain $Ω$ with initial velocity $u_0$ square-integrable, divergence-free and tangent to $\partial Ω$. We supplement the equations with the Navier friction boundary conditions $u \cdot n = 0$ and $[(2Su)n + αu]_{tang} = 0$, where $n$ is the unit exterior normal to $\partial Ω$, $Su = (Du + (Du)^t)/2$, $α\in C^0(\partialΩ)$ is the boundary friction coefficient and $[\cdot]_{tang}$ is the projection of…

This https://arxiv.org/abs/2409.19908 has been replaced.
link: https://scholar.google.com/scholar?q=a

Independent Sets in Hypergraphs
A theorem of Shearer states that every $n$-vertex triangle-free graph of maximum degree $d \geq 2$ contains an independent set of size at least $(d\log d - d + 1)/(d - 1)^2 \cdot n$. Ajtai, Komlós, Pintz, Spencer and Szemerédi proved that every $(r + 1)$-uniform $n$-vertex ``uncrowded'' hypergraph of maximum degree $d \geq 1$ has an independent set of size at least $c_r(\log d)^{1/r}/d^{1/r} \cdot n$ for some $c_r > 0$ depending only on $r$. Shearer asked whether his method for triangle-free …

Symmetrization for high dimensional dependent random variables
Jonathan B. Hill
https://arxiv.org/abs/2506.00547 https://arxiv.org/pd…

Symmetrization for high dimensional dependent random variables
We establish a generic symmetrization property for dependent random variables $\{x_{t}\}_{t=1}^{n}$ on $\mathbb{R}^{p}$, where $p$ $>>$ $n$ is allowed. We link $\mathbb{E}ψ(\max_{1\leq i\leq p}|1/n\sum_{t=1}^{n}(x_{i,t}$ $-$ $\mathbb{E}x_{i,t})|)$ to $\mathbb{E}ψ(\max_{1\leq i\leq p}|1/n$ $\sum_{t=1}^{n}η_{t}(x_{i,t}$ $-$ $\mathbb{E}% x_{i,t})|)$ for non-decreasing convex $ψ$ $:$ $[0,\infty )$ $\rightarrow $ $\mathbb{R}$, where $\{η_{t}\}_{t=1}^{n}$ are block-wise indep…

This https://arxiv.org/abs/2203.15681 has been replaced.
link: https://scholar.google.com/scholar?q=a

Arbitrarily small spectral gaps for random hyperbolic surfaces with many cusps
Let $\mathcal{M}_{g,n(g)}$ be the moduli space of hyperbolic surfaces of genus $g$ with $n(g)$ punctures endowed with the Weil-Petersson metric. In this paper we study the asymptotic behavior of the Cheeger constants and spectral gaps of random hyperbolic surfaces in $\mathcal{M}_{g,n(g)}$, when $n(g)$ grows slower than $g$ as $g\to \infty$.

This https://arxiv.org/abs/2306.07237 has been replaced.
link: https://scholar.google.com/scholar?q=a

Three Edge-disjoint Plane Spanning Paths in a Point Set
We consider the following problem: Given a set $S$ of $n$ distinct points in the plane, how many edge-disjoint plane straight-line spanning paths can be drawn on $S$? Each spanning path must be crossing-free, but edges from different paths are allowed to intersect at arbitrary points. It is known that if the points of $S$ are in convex position, then $\lfloor n/2 \rfloor$ such paths always exist. However, for general point sets, the best known construction yields only two edge-disjoint plane sp…

This https://arxiv.org/abs/2312.10290 has been replaced.
link: https://scholar.google.com/scholar?q=a

Runtime Analysis of the SMS-EMOA for Many-Objective Optimization
This paper conducts the first rigorous runtime analysis of the SMS-EMOA for many-objective optimization. To this aim, we first propose a many-objective counterpart of the bi-objective OJZJ benchmark. We prove that SMS-EMOA computes the full Pareto front of this benchmark in an expected number of $O(μM n^k)$ iterations, where $n$ denotes the problem size (length of the bit-string representation), $k$ the gap size (a difficulty parameter of the problem), $M=(2n/m-2k+3)^{m/2}$ the size of the Par…

This https://arxiv.org/abs/1908.09164 has been replaced.
link: https://scholar.google.com/scholar?q=a

A homological approach to chromatic complexity of algebraic K-theory
The family of Thom spectra $y(n)$ interpolates between the sphere spectrum and the mod two Eilenberg--MacLane spectrum. Computations of Mahowald, Ravenel, Shick, and the authors show that the associative ring spectrum $y(n)$ has type $n$. Using trace methods, we give evidence that algebraic K-theory preserves this chromatic complexity. Our approach sheds light on the chromatic complexity of topological negative cyclic homology and topological periodic cyclic homology, which approximate algebrai…

This https://arxiv.org/abs/2212.00636 has been replaced.
link: https://scholar.google.com/scholar?q=a

Newman's conjecture for the partition function modulo integers with at least two distinct prime divisors
Let $M$ be a positive integer and $p(n)$ be the number of partitions of a positive integer $n$. Newman's Conjecture asserts that for each integer $r$, there are infinitely many positive integers $n$ such that \[ p(n)\equiv r \pmod{M}. \] For a positive integer $d$, let $B_{d}$ be the set of positive integers $M$ such that the number of prime divisors of $M$ is $d$. In this paper, we prove that for each positive integer $d$, the density of the set of positive integers $M$ for which Newman's Conj…

This https://arxiv.org/abs/2409.10438 has been replaced.
link: https://scholar.google.com/scholar?q=a

A functorial approach to $n$-abelian categories
We develop a functorial approach to the study of $n$-abelian categories by reformulating their axioms in terms of their categories of finitely presented functors. Such an approach allows the use of classical homological algebra and representation theory techniques to understand higher homological algebra. As an application, we present two possible generalizations of the axioms "every monomorphism is a kernel" and "every epimorphism is a cokernel" of an abelian category to $n$-abelian categories…

Jeg er nŸdt til at få overbevist venner, familie og kolleger om at komme med over på Signal el. lign.! I min Messenger-app kom der lige info om at Meta har ændret deres betingelser for behandling af personoplysninger, men at man kan gŸre indsigelse mod det.
Men uanset hvor jeg klikker mig hen, kommer der intet link frem til den indsigelsesformular de henviser til! De gŸr alt hvad de kan for at gŸre det umuligt. Grrrr!!! 🤬
(Se alt-tekst for mere info om hvor skidt det virker, d…

This https://arxiv.org/abs/2404.15996 has been replaced.
link: https://scholar.google.com/scholar?q=a

Asymptotically Fair and Truthful Allocation of Public Goods
We study the fair and truthful allocation of m divisible public items among n agents, each with distinct preferences for the items. To aggregate agents' preferences fairly, we focus on finding a core solution. For divisible items, a core solution always exists and can be calculated by maximizing the Nash welfare objective. However, such a solution is easily manipulated; agents might have incentives to misreport their preferences. To mitigate this, the current state-of-the-art finds an approxima…

This https://arxiv.org/abs/2210.03905 has been replaced.
link: https://scholar.google.com/scholar?q=a

Empirical Bayes Selection for Value Maximization
We study the problem of selecting the best $m$ units from a set of $n$ as $m / n \to α\in (0, 1)$, where noisy, heteroskedastic measurements of the units' true values are available and the decision-maker wishes to maximize the aggregate true value of the units selected. Given a parametric prior distribution, the empirical Bayes decision rule incurs $O_p(n^{-1})$ regret relative to the Bayesian oracle that knows the true prior. More generally, if the error in the estimated prior is of order $O_…

Augmented links, shadow links, and the TV volume conjecture: a geometric perspective
Dionne Ibarra, Emma N. McQuire, Jessica S. Purcell
https://arxiv.org/abs/2506.09296

Augmented links, shadow links, and the TV volume conjecture: a geometric perspective
For hyperbolic 3-manifolds, the growth rate of their Turaev-Viro invariants, evaluated at a certain root of unity, is conjectured to give the hyperbolic volume of the manifold. This has been verified for a handful of examples and several infinite families of link complements, including fundamental shadow links. Fundamental shadow links lie in connected sums of copies of $S^1\times S^2$, and their complements are built of regular ideal octahedra. Another well-known family of links with complemen…

This https://arxiv.org/abs/2206.05492 has been replaced.
link: https://scholar.google.com/scholar?q=a

Varieties of Nodal surfaces, coding theory and Discriminants of cubic hypersurfaces. Part 1: Generalities and nodal K3 surfaces. Part 2: Cubic Hypersurfaces, associated discriminants. Part 3: Nodal quintics. Part 4: Nodal sextics
We attach two binary codes to a projective nodal surface (the strict code K and, for even degree d, the extended code K' ) to investigate the `Nodal Severi varieties F(d, n) of nodal surfaces in P^3 of degree d and with n nodes, and their incidence hierarchy, relating partial smoothings to code shortenings. Our first main result solves a question which dates back over 100 years: the irreducible components of F(4, n) are in bijection with the isomorphism classes of their extended codes K', and t…

This https://arxiv.org/abs/2104.03898 has been replaced.
link: https://scholar.google.com/scholar?q=a

A New Form of Soft Supersymmetry Breaking?
Starting with a supersymmetric U(N)xU(N) gauge theory built in N=1 superspace, a nonsupersymmetric theory is obtained by ``twisting'' the gauginos into a different representation of the group than the gauge bosons. Despite the fact that this twisting breaks supersymmetry, it is still possible to construct an action that is holomorphic and invariant to local ``twisted'' gauge transformations in superspace. It is conjectured that these two properties may allow the theory to be free of quadratic d…

Announcing my plans to try and find a way to link FreePBX to Adtran n-Command MSP to control TotalAccess devices.

This https://arxiv.org/abs/2009.11945 has been replaced.
link: https://scholar.google.com/scholar?q=a

Some application of Grunsky coefficients in the theory of univalent functions
Let function $f$ be normalized, analytic and univalent in the unit disk ${\mathbb D}=\{z:|z|<1\}$ and $f(z)=z+\sum_{n=2}^{\infty} a_n z^n$. Using a method based on Grusky coefficients we study several problems over that class of univalent functions: upper bounds of the special case of the generalised Zalcman conjecture $|a_2a_3-a_4|$, of the third logarithmic coefficient, and of the second Hankel determinant for the logarithmic coefficients.

Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation
Hironobu Kimura
https://arxiv.org/abs/2506.04638 https://

Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation
We construct solutions of the 2-dimensional Toda-Hirota equation (2dTHE) expressed by the solutions of the system of so-called Euler-Poisson-Darboux equations (EPD) in N complex variables. The system of EPD arises naturally from the differential equations which form a main body of the system characterizing the Gelfand hypergeometric function (Gelfand HGF) on the Grassmannian GM$(2,N)$. Using this link and the contiguity relations for the Gelfand HGF, which are constructed from root vectors for …

This https://arxiv.org/abs/2201.09176 has been replaced.
link: https://scholar.google.com/scholar?q=a

Quivers for coloured planar $ϕ^n$ theories at all loop orders for scattering processes from Feynman diagrams
We introduce Feynman-like rules to compute quivers for two loops and higher for the coloured planar $ϕ^3$ theory for winding number zero. We demonstrate this for a few cases. Then we extend this further to the case of $ϕ^n$ theories, for any n. We also construct the quivers for mixed theories. We do this at all loop order.

This https://arxiv.org/abs/1804.08452 has been replaced.
link: https://scholar.google.com/scholar?q=a

Two closed geodesics on compact bumpy Finsler manifolds
In this paper, we prove there are at least two closed geodesics on any compact bumpy Finsler $n$-manifold with finite fundamental group and $n\ge 2$. Thus generically there are at least two closed geodesics on compact Finsler manifolds with finite fundamental group. Furthermore, there are at least two closed geodesics on any compact Finsler $2$-manifold, and this lower bound is achieved by the Katok 2-sphere $(S^2, F)$ and 2-real projective space $(S^2/\Z_2, F)$, cf. \cite{Kat}.

This https://arxiv.org/abs/2506.00971 has been replaced.
link: https://scholar.google.com/scholar?q=a

Resonant Tunneling in Tri-layer 2H-MoTe2 grown by Molecular Beam Epitaxy Coupled with layered WSe2 carrier Reservoir
Here, we report a prominent quantum oscillation in the conductance of 2H-MoTe2 based resonant tunneling structure. In this work, a n-WSe2/HfO2/i-MoTe2/HfO2/Au resonant tunneling device (RTD) with a symmetric and asymmetric double barrier has been fabricated using Molecular Beam Epitaxy (MBE) grown 2H-MoTe2 and Chemical Vapor Deposition (CVD) grown 2H-WSe2 along with theoretical modeling by adopting non-equilibrium Green function (NEGF) formalism. The impact of MoTe2-quantum well widths equal, a…

This https://arxiv.org/abs/2109.06078 has been replaced.
link: https://scholar.google.com/scholar?q=a

BV Functions and Sets of Finite Perimeter on Configuration Spaces
This paper contributes to foundations of the geometric measure theory in the infinite dimensional setting of the configuration space over the Euclidean space $\mathbb R^n$ equipped with the Poisson measure $π$. We first provide a rigorous meaning and construction of the $m$-codimensional Poisson measure -- formally written as "$(\infty-m)$-dimensional Poisson measure" -- on the configuration space. We then show that our construction is consistent with potential analysis by establishing the abs…

This https://arxiv.org/abs/2103.01285 has been replaced.
link: https://scholar.google.com/scholar?q=a

On the intersection cohomology of the moduli of $\mathrm{SL}_n$-Higgs bundles on a curve
We explore the cohomological structure for the (possibly singular) moduli of $\mathrm{SL}_n$-Higgs bundles for arbitrary degree on a genus g curve with respect to an effective divisor of degree >2g-2. We prove a support theorem for the $\mathrm{SL}_n$-Hitchin fibration extending de Cataldo's support theorem in the nonsingular case, and a version of the Hausel-Thaddeus topological mirror symmetry conjecture for intersection cohomology. This implies a generalization of the Harder-Narasimhan theor…

This https://arxiv.org/abs/2111.14796 has been replaced.
link: https://scholar.google.com/scholar?q=a

Familial Monads as Higher Category Theories
Categories, n-categories, double categories, and multicategories (among others) all have similar definitions as collections of cells with composition operations. We give an explicit description of the information required to define any higher category structure which arises as algebras for a familially representable monad on a presheaf category, then use this to describe several examples relating to higher category theory and cubical sets. The proof of this characterization avoids tedious natur…

This https://arxiv.org/abs/2308.14124 has been replaced.
link: https://scholar.google.com/scholar?q=a

The APX-hardness of the Traveling Tournament Problem
The Traveling Tournament Problem (TTP-$k$) is a well-known benchmark problem in sports scheduling, which asks us to design a double round-robin schedule such that each pair of teams plays one game in each other's home venue, no pair of teams plays each other on two consecutive days, each team plays at most $k$ consecutive home games or away games, and the total traveling distance of all the $n$ teams is minimized. TTP-$k$ allows a polynomial-time approximation scheme when $k=2$ and becomes APX-…

This https://arxiv.org/abs/2401.08063 has been replaced.
link: https://scholar.google.com/scholar?q=a

An Infinite Double Bubble Theorem
The classical double bubble theorem characterizes the minimizing partitions of $\mathbb{R}^n$ into three chambers, two of which have prescribed finite volume. In this paper we prove a variant of the double bubble theorem in which two of the chambers have infinite volume. Such a configuration is an example of a (1,2)-cluster, or a partition of $\mathbb{R}^n$ into three chambers, two of which have infinite volume and only one of which has finite volume. A $(1,2)$-cluster is locally minimizing wit…

This https://arxiv.org/abs/2008.08520 has been replaced.
link: https://scholar.google.com/scholar?q=a

Endoscopic decompositions and the Hausel-Thaddeus conjecture
We construct natural operators connecting the cohomology of the moduli spaces of stable Higgs bundles with different ranks and genera which, after numerical specialization, recover the topological mirror symmetry conjecture of Hausel-Thaddeus concerning $\mathrm{SL}_n$- and $\mathrm{PGL}_n$-Higgs bundles. This provides a complete description of the cohomology of the moduli space of stable $\mathrm{SL}_n$-Higgs bundles in terms of the tautological classes, and gives a new proof of the Hausel-Tha…

This https://arxiv.org/abs/2205.14296 has been replaced.
link: https://scholar.google.com/scholar?q=a

Approximability Landscape of Welfare Maximization within Fair Allocations
Fair allocation of indivisible goods studies allocating $m$ goods among $n$ agents in a fair manner. While fairness is a fundamental requirement in many real-world applications, it often conflicts with (economic) efficiency. This raises a natural and important question: How can we identify the most welfare-efficient allocation among all fair allocations? This paper answers from the perspective of computational complexity. Specifically, we study the problem of maximizing utilitarian social welfa…

This https://arxiv.org/abs/2407.02358 has been replaced.
link: https://scholar.google.com/scholar?q=a

N-body linear force law allowing analytic solutions
We present a pair-wise force law in a system of N particles that produces analytic solutions for arbitrary number of particles, masses, and initial conditions. Each pair of particles interacts via a force that is proportional to the product of their masses and their separation distance, with the force directed radially. We show that, despite the N-body interaction, each particle behaves as if it interacts only with the center of mass of the system. This effective two-body interaction behaves as…

Rules, agents and order
Amalia Puente, Diego Radillo-Ochoa, C. A. Terrero-Escalante
https://arxiv.org/abs/2505.23985 https://arxiv.or…

Rules, agents and order
Complex systems often exhibit highly structured network topologies that reflect functional constraints. In this work, we investigate how, under varying combinations of system-wide selection rules and special agents, different classes of random processes give rise to global order, with a focus restricted to finite-size networks. Using the large-$N$ Erdos-Renyi model as a null baseline, we contrast purely random link-adding processes with goal-directed dynamics, including variants of the chip-fir…

This https://arxiv.org/abs/2209.05806 has been replaced.
link: https://scholar.google.com/scholar?q=a

The Weyl tube theorem for Kähler manifolds
As sharpened in terms of Alesker's theory of valuations on manifolds, a classic theorem of Weyl asserts that the coefficients of the tube polynomial of an isometrically embedded riemannian manifold $M \hookrightarrow \mathbb R^n$ constitute a canonical finite dimensional subalgebra $\mathcal {L K}(M)$ of the algebra $\mathcal{V} (M)$ of all smooth valuations on $M$, isomorphic to the algebra of valuations on Euclidean space that are invariant under rigid motions. We construct an analogous, larg…

This https://arxiv.org/abs/2207.01061 has been replaced.
link: https://scholar.google.com/scholar?q=a

Computing Vanishing Ideals for Toric Codes
Motivated by applications to the theory of error-correcting codes, we give methods for computing a generating set for the ideal generated by $β$-graded polynomials vanishing on certain subsets of a simplicial complete toric variety $X$ over a finite field $\mathbb{F}_q$, where $β$ is a $d\times r$ matrix whose columns generate a subsemigroup $\mathbb{N}β$ of $\mathbb{N}^d$. We also give a method for computing the vanishing ideal of the set of $\mathbb{F}_q$-rational points of $X$. When $β=[…

This https://arxiv.org/abs/2004.09217 has been replaced.
link: https://scholar.google.com/scholar?q=a

Vanishing Chern classes for numerically flat Higgs bundles
I consider Higgs bundles satisfying a notion of ampleness that was introduce Bruzzo, Graña Otero and Hernández Ruipérez, and prove that the Chern classes of rank $r$ H-ample Higgs bundles over dimension $n$, polarized, smooth, complex, projective varieties are positive under opportune hypothesis. I extend this to non-negativeness of Chern classes of all numerically effective Higgs bundles; and use this condition to prove the vanishing of Chern classes of numerically flat Higgs bundles.

This https://arxiv.org/abs/1604.06440 has been replaced.
link: https://scholar.google.com/scholar?q=a

An end-to-end construction of doubly periodic minimal surfaces
Using Traizet's regeneration method, we prove that for each positive integer n there is a family of embedded, doubly periodic minimal surfaces with parallel ends in Euclidean space of genus 2n-1 and 4 ends in the quotient by the maximal group of translations. The genus 2n-1 family converges smoothly to 2n copies of Scherk's doubly periodic minimal surface. The only previously known doubly periodic minimal surfaces with parallel ends and genus greater than 3 limit in a foliation of Euclidean spa…