This paper proposes a probabilistic model of object category learning in conjunction with attention-guided organized perception. This model consists of a model of attention-guided organized perception of object segments on Markov random fields and a model of learning object categories based on a probabilistic latent component analysis. In attentionguided organized perception, concurrent figure-...

Categorization models based on laboratory research focus on a narrower range of explanatory constructs than appears necessary for explaining the structure of natural categories. This mismatch is caused by the reliance on classification as the basis of laboratory studies. Category representations are formed in the process of interacting with category members. Thus, laboratory studies must explor...

On a shopping trip to a supermarket a customer may purchase a product in a given category and, if so, buys a particular brand. A previous paper by the authors models the brand choice part of this process. A multinomial logit model describes the selection of brand and size given that the customer makes a category purchase. Explanatory variables include store actions, such as price and promotion,...

The obstructions for an arbitrary fusion algebra to be a fusion algebra of some semisimple monoidal category are constructed. Those obstructions lie in groups which are closely related to the Hochschild cohomology of fusion algebras with coefficients in the K-theory of the ground (algebraically closed) field. The special attention is devoted to the case of fusion algebra of invariants of finite...

We define an analogue of BGG category O for generalized Weyl algebras. We prove several properties that show that even when the dimension of the ground ring is greater than one, the (graded) representation theory still has the flavor of the infinite dimensional representation theory of semisimple lie algebras. We then apply these results to the strong graded Morita problem for GWAs and give a c...

We give a monadic semantics in the category of FM-cpos to a higher-order CBV language with recursion and dynamically allocated mutable references that may store both ground data and the addresses of other references, but not functions. This model is adequate, though far from fully abstract. We then develop a relational reasoning principle over the denotational model, and show how it may be used...

In the demo, we demonstrate a mobile food recognition system with Fisher Vector and liner one-vs-rest SVMs which enable us to record our food habits easily. In the experiments with 100 kinds of food categories, we have achieved the 79.2% classification rate for the top 5 category candidates when the ground-truth bounding boxes are given. The prototype system is open to the public as an Android-...