github.com/ryankiros/skip-thoughts
ryankiros/skip-thoughts
Sent2Vec encoder and training code from the paper "Skip-Thought Vectors" (⭐ 2051)
arxiv.org/abs/2411.14919v3
Optimal Beamforming for Multi-User Continuous Aperture Array (CAPA) Systems
The optimal beamforming design for multi-user continuous aperture array (CAPA) systems is proposed. In contrast to conventional spatially discrete array (SPDA), the beamformer for CAPA is a continuous function rather than a discrete vector or matrix,...
arxiv.org/abs/2508.09720v1
Parking functions and chip-firing on hypergraphs
For a connected graph $G$ with sink vertex $q$, a $G$-parking function is a vector of nonnegative integers whose entries are determined by cut-sets in $G$. Such objects also arise as the superstable configurations in the context of chip-firing. The s...
arxiv.org/abs/1702.06595v1
FIRED: Frequent Inertial Resets with Diversification for Emerging Commodity Cybe…
A Cyber-Physical System (CPS) is defined by its unique characteristics involving both the cyber and physical domains. Their hybrid nature introduces new attack vectors, but also provides an opportunity to design new security defenses. In this paper,...
arxiv.org/abs/2509.20771v1
Fat Shellable Spheres
The fatness of a 4-polytope or 3-sphere is defined as $(f_1+f_2-20)/(f_0+f_3-10)$. We construct arbitrarily fat, strongly regular CW 3-spheres that are both shellable and dual shellable. These spheres have $f$-vectors $(Θ(n),Θ(nα(n)),Θ(nα(n)),Θ...
en.wikipedia.org/wiki/Adobe_Flash
Adobe Flash - Wikipedia
FutureWave realized the potential for a vector-based web animation tool that might challenge Macromedia Shockwave technology. In 1995, FutureWave modified
www.bing.com/ck/a?!&&p=f90ce5d775679e0d1a4f4087a61fbf0581176f4e8f1066d03493ef0057cc908dJmltdHM9MTc3MjU4MjQwMA&ptn=3&ver=2&hsh=4&fclid=0445d086-73c2-6ca2-0542-c79472f56dee&u=a1aHR0cHM6Ly9tYXRoLnN0YWNrZXhjaGFuZ2UuY29tL3F1ZXN0aW9ucy8zMzk3NjI0L3Byb29mLW9mLW5hYmxhLXRpbWVzLW5hYmxhLXRpbWVzLW1hdGhiZi1mLW5hYmxhLW5hYmxhLWNkb3QtbWF0aGJmLWYtbg&ntb=1
vectors - Proof of $\nabla\times (\nabla\times \mathbf f)=\nabla ...
Oct 17, 2019 · To give an example, in the derivation of the wave equation from maxwell's equations, the following identity is used: $$ \nabla\times (\nabla\times \mathbf f)=\nabla (\nabla\cdot \mathbf f) …
en.wikipedia.org/wiki/Nabla
Nabla - Wikipedia
Look up nabla in Wiktionary, the free dictionary. Nabla may refer to any of the following: the nabla symbol ∇ the vector differential operator, also called
arxiv.org/abs/1802.01671v1
Beating Effects of Vector Solitons in Bose-Einstein Condensate
We study the beating effects of solitons in multi-component coupled Bose-Einstein condensate systems. Our analysis indicate that the period of beating behavior is determined by the energy eigenvalue difference in the effective quantum well induced by...
arxiv.org/abs/2208.00389v1
The finest locally convex topology of an extended locally convex space
Salas and Garcia introduced the concept of an extended locally convex space in [D. Salas and S. Tapia-Garcia. Extended seminorms and extended topological vector spaces. Topology and its Applications, 2016] which extends the idea of an extended normed...
arxiv.org/abs/2412.15225v1
Finest decomposition coarsening of reaction networks of biochemical systems
Biochemical reaction networks are typically modeled by $\dfrac{dx}{dt}=N\cdot K(x)=Y\cdot I_a\cdot K(x)$, with $x$ and $K(x)$ as the concentration and rate vectors, respectively, and $N$, $Y$, and $I_a$ as the stoichiometric, molecularity, and incide...
arxiv.org/abs/2110.05932v3
Why and whence the Hilbert space in quantum theory?
We explain why and how the Hilbert space comes about in quantum theory. The axiomatic structures of vector space, of scalar product, of orthogonality, and of the linear functional are derivable from the statistical description of quantum micro-events...
arxiv.org/abs/1910.00062v1
Tutorial on Implied Posterior Probability for SVMs
Implied posterior probability of a given model (say, Support Vector Machines (SVM)) at a point $\bf{x}$ is an estimate of the class posterior probability pertaining to the class of functions of the model applied to a given dataset. It can be regarded...
en.wikipedia.org/wiki/CorelDRAW
CorelDRAW - Wikipedia
CorelDRAW is a vector graphics editor developed and marketed by Corel Corporation. It is also the name of the Corel graphics suite, which includes the
arxiv.org/abs/1008.5216v1
Linked Hom spaces
In this note, we describe a theory of linked Hom spaces which complements that of linked Grassmannians. Given two chains of vector bundles linked by maps in both directions, we give conditions for the space of homomorphisms from one chain to the othe...
arxiv.org/abs/1101.0825v1
Linked alternating forms and linked symplectic Grassmannians
Motivated by applications to higher-rank Brill-Noether theory and the Bertram-Feinberg-Mukai conjecture, we introduce the concepts of linked alternating and linked symplectic forms on a chain of vector bundles, and show that the linked symplectic Gra...
arxiv.org/abs/1911.00093v1
Effect of Mixed Precision Computing on H-Matrix Vector Multiplication in BEM Ana…
Hierarchical Matrix (H-matrix) is an approximation technique which splits a target dense matrix into multiple submatrices, and where a selected portion of submatrices are low-rank approximated. The technique substantially reduces both time and space...
arxiv.org/abs/1902.08049v1
On Harmonic Ritz vectors and the stagnation of GMRES
This paper derives a necessary and sufficient condition for the coincidence of Harmonic residual vectors and the residual vector in GMRES. The properties of the harmonic Ritz values at the stagnation of GMRES were described in the Proposition-4.2 of...
arxiv.org/abs/1503.07051v1
Jerk and Hyperjerk in a Rotating Frame of Reference
Jerk is the derivative of acceleration with respect to time and then it is the third order derivative of the position vector. Hyperjerks are the n-th order derivatives with n>3. This paper describes the relations, for jerks and hyperjerks, between th...
arxiv.org/abs/2304.07983v1
Snacks: a fast large-scale kernel SVM solver
Kernel methods provide a powerful framework for non parametric learning. They are based on kernel functions and allow learning in a rich functional space while applying linear statistical learning tools, such as Ridge Regression or Support Vector Mac...