This paper extends R-CNN, a state-of-the-art object detection method, to larger scales. To apply R-CNN to a large database storing thousands to millions of images, the SVM classification of millions to billions of DCNN features extracted from object proposals is indispensable, which imposes unrealistic computational and memory costs. Our method dramatically narrows down the number of object pro...

We show that K1(E) of an exact category E agrees with K1(DE) of the associated triangulated derivator DE. More generally we show that K1(W) of a Waldhausen category W with cylinders and a saturated class of weak equivalences agrees with K1(DW) of the associated right pointed derivator DW. Introduction For a long time there was an interest in defining a nice K-theory for triangulated categories ...

Extended cubical sets (with connections and interchanges) are presheaves on a ground category, the extended cubical site K, corresponding to the (augmented) simplicial site, the category of finite ordinals. We prove here that K has characterisations similar to the classical ones for the simplicial analogue, by generators and relations, or by the existence of a universal symmetric cubical monoid...

A criterion for the existence of an initial completion of a concrete category K universal w.r.t. finite products and subobjects is presented. For K = metric spaces and uniformly continuous maps this completion is the category of uniform spaces.

Let $R$ be a finite dimensional algebra of global dimension over field $k$. In this paper, we will characterize $k$-linear abelian category $\mathscr C$ such that C\cong \operatorname {tails} A$ for some graded right coherent AS-regular $A$ $R$. As an application, prove if is smooth quadric surface in quantum $\mathbb P^3$ the sense Smith and Van den Bergh, then there exists noetherian $kK_2$ 3...

The stratified vector bundles on a smooth variety defined over an algebraically closed field k form a neutral Tannakian category over k. We investigate the affine group–scheme corresponding to this neutral Tannakian category.

Positive systems play an important role in and control theory have found many applications multiagent systems, neural networks, biology, more. map the nonnegative orthant to itself (and also nonpositive itself). In other words, they set of vectors with zero sign variations itself. this article, discrete-time linear that up k - 1 are introduced. For special case = these reduce positive systems. ...

In the paper [Som90] p.105, Somekawa conjectures that his Milnor Kgroup K(k, G1, . . . , Gr) attached to semi-abelian varieties G1,. . . ,Gr over a field k is isomorphic to ExtrMk (Z, G1[−1] ⊗ . . . ⊗ Gr[−1]) where Mk is a certain category of motives over k. The purpose of this note is to give remarks on this conjecture, when we take Mk as Voevodsky’s category of motives DM (k) .