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Document retrieval is one of the most fundamental problem in information retrieval. The objective is to retrieve all documents from a document collection that are relevant to an input pattern. Several variations of this problem such as ranked document retrieval, document listing with two patterns and forbidden patterns have been studied. We introduce the… (More)

The fields of succinct data structures and compressed text indexing have seen quite a bit of progress over the last 15 years. An important achievement, primarily using techniques based on the Burrows-Wheeler Transform (BWT), was obtaining the full functionality of suffix tree in the optimal number of bits. A crucial property that allows the use of BWT for… (More)

Given a string X[1, n] and a position k ∈ [1, n], the Shortest Unique Substring of X covering k, denoted by S k , is a substring X[i, j] of X which satisfies the following conditions: (i) i ≤ k ≤ j, (ii) i is the only position where there is an occurrence of X[i, j], and (iii) j − i is minimized. The best-known algorithm [Hon et al., ISAAC 2015] can find S… (More)

Two equal-length strings S and S are a parameterized-match (p-match) iff there exists a one-to-one function that renames the characters in S to those in S. Let P be a collection of d patterns of total length n characters that are chosen from an alphabet Σ of cardinality σ. The task is to index P such that we can support the following operations: search(T):… (More)

Let S and S be two strings, having the same length, over a totally-ordered alphabet. We consider the following two variants of string matching. Parameterized Matching: The characters of S and S are partitioned into static characters and parameterized characters. The strings are a parameterized match iff the static characters match exactly, and there exists… (More)

- Arnab Ganguly
- 2013

J o u r n a l o f P r o b a b i l i t y Electron. Abstract The paper deals with convergence of solutions of a class of stochastic differential equations driven by infinite-dimensional semimartingales. The infinite-dimensional semimartingales considered in the paper are Hilbert-space valued. The theorems presented generalize the convergence result obtained… (More)