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- Mathew Joseph, Nirupama Soundararajan, Manisha Gupta, Sanghamitra Sahu
- 2008

i Foreword The retail sector is expanding and modernizing rapidly in line with India's economic growth. It offers significant employment opportunities in all urban areas. This study, the second undertaken by ICRIER on the retail industry, attempts to rigorously analyse the impact of organized retailing on different segments of the economy. No distinction… (More)

Semantic enrichment of textual data is the operation of linking mentions 1 with the entities they refer to, and the subsequent enrichment of such entities with the background knowledge about them available in one or more knowledge bases (or in the entire web). Information about the context in which a mention occurs, (e.g., information about the time, the… (More)

J o u r n a l o f P r o b a b i l i t y Electron. Abstract We consider the nonlinear stochastic heat equation in one dimension. Under some conditions on the nonlinearity, we show that the "peaks" of the solution are rare, almost fractal like. We also provide an upper bound on the length of the "islands", the regions of large values. These results are… (More)

The problem of searching large knowledge bases is becoming an important facet of the current web of steadily proliferating semantic content. By pushing the notion of a context for partitioning large knowledge bases, performance of search is improved by narrowing the search space to a context of interest. On the other hand, by restricting the search only to… (More)

We consider a system of interacting diffusions on the integer lattice. By letting the mesh size go to zero and by using a suitable scaling, we show that the system converges (in a strong sense) to a solution of the stochastic heat equation on the real line. As a consequence, we obtain comparison inequalities for product moments of the stochastic heat… (More)

- Daniel Conus, Mathew Joseph, Davar Khoshnevisan, Shang-Yuan Shiu, Gérard Ben Arous, Ivan Corwin
- 2012

We consider a family of nonlinear stochastic heat equations of the form ∂tu = Lu + σ(u) ˙ W , where ˙ W denotes space-time white noise, L the generator of a symmetric Lévy process on R, and σ is Lipschitz continuous and zero at 0. We show that this stochastic PDE has a random-field solution for every finite initial measure u0. Tight a priori bounds on the… (More)

The standard semantic web languages and reasoning tools do not explicitly take into account the contextual dimension of knowledge, i.e., the fact that a certain statement (RDF triple) is not universally true, but true only in certain circumstances. Such contextual information, which includes for instance, the time interval , the spatial region, or the… (More)

— Visual sensing for robotics has been around for decades, but our understanding of a timing model remains crude. By timing model, we refer to the delays (processing lag and motion lag) between " reality " (when a part is sensed), through data processing (the processing of image data to determine part position and orientation), through control (the… (More)

We consider a random walk on R d in a polynomially mixing random environment that is refreshed at each time step. We use a martingale approach to give a necessary and sufficient condition for the almost-sure functional central limit theorem to hold.

The recent outburst of context-dependent knowledge on the Semantic Web (SW) has led to the realization of the importance of the quads in the SW community. Quads, which extend a standard RDF triple, by adding a new parameter of the 'context' of an RDF triple, thus informs a reasoner to distinguish between the knowledge in various contexts. Although this… (More)