Loading [MathJax]/extensions/MathMenu.js
R. Ravi - IEEE Xplore Author Profile

Showing 1-16 of 16 results

Filter Results

Show

Results

We analyze a general problem in a crowd-sourced setting where one user asks a question (also called item) and other users return answers (also called labels) for this question. Different from existing crowd sourcing work which focuses on finding the most appropriate label for the question (the “truth”), our problem is to determine a ranking of the users based on their ability to answer questions. ...Show More
We interleave sampling based motion planning methods with pruning ideas from minimum spanning tree algorithms to develop a new approach for solving a Multi-Goal Path Finding (MGPF) problem in high dimensional spaces. The approach alternates between sampling points from selected regions in the search space and de-emphasizing regions that may not lead to good solutions for MGPF. Our approach provide...Show More
Detecting and quantifying the timing and the genetic contributions of parental populations to a hybrid population is an important but challenging problem in reconstructing evolutionary histories from genetic variation data. With the advent of high throughput genotyping technologies, new methods suitable for large-scale data are especially needed. Furthermore, existing methods typically assume the ...Show More
We consider the problem of finding a minimum edge cost subgraph of an undirected or a directed graph satisfying given connectivity requirements and degree bounds b(·) on nodes. We present an iterative rounding algorithm for this problem. When the graph is undirected and the connectivity requirements are on the element-connectivity with maximum value k, our algorithm computes a solution that is an ...Show More
In the stochastic knapsack problem, we are given a knapsack of size B, and a set of items whose sizes and rewards are drawn from a known probability distribution. To know the actual size and reward we have to schedule the item-when it completes, we get to know these values. The goal is to schedule the items (possibly making adaptive decisions based on the sizes seen so far) to maximize the expecte...Show More
The random accumulation of variations in the human genome over time implicitly encodes a history of how human populations have arisen, dispersed, and intermixed since we emerged as a species. Reconstructing that history is a challenging computational and statistical problem but has important applications both to basic research and to the discovery of genotype-phenotype correlations. We present a n...Show More
We consider a combinatorial problem derived from haplotyping a population with respect to a , either recessive or dominant. Given a set of individuals, partitioned into healthy and diseased, and the corresponding sets of genotypes, we want to infer "bad" and "good" haplotypes to account for these genotypes and for the disease. Assume, for example, that the disease is recessive. Then, the resolving...Show More
Reconstruction of phylogenetic trees is a fundamental problem in computational biology. While excellent heuristic methods are available for many variants of this problem, new advances in phylogeny inference will be required if we are to be able to continue to make effective use of the rapidly growing stores of variation data now being gathered. In this paper, we present two integer linear programm...Show More
We consider the problem of reconstructing near-perfect phylogenetic trees using binary character states (referred to as BNPP). A perfect phylogeny assumes that every character mutates at most once in the evolutionary tree, yielding an algorithm for binary character states that is computationally efficient but not robust to imperfections in real data. A near-perfect phylogeny relaxes the perfect ph...Show More
Robust optimization has traditionally focused on uncertainty in data and costs in optimization problems to formulate models whose solutions will be optimal in the worst-case among the various uncertain scenarios in the model. While these approaches may be thought of defining data- or cost-robust problems, we formulate a new "demand-robust" model motivated by recent work on two-stage stochastic opt...Show More
Real-world networks often need to be designed under uncertainty, with only partial information and predictions of demand available at the outset of the design process. The field of stochastic optimization deals with such problems where the forecasts are specified in terms of probability distributions of future data. In this paper, we broaden the set of models as well as the techniques being consid...Show More
We present new design and analysis techniques for the synthesis of parallel multiplier circuits that have smaller predicted delay than the best current multipliers. V.G. Oklobdzija et al. (1996) suggested a new approach, the Three-Dimensional Method (TDM), for Partial Product Reduction Tree (PPRT) design that produces multipliers that outperform the current best designs. The goal of TDM is to prod...Show More
Given an undirected graph G, finding a spanning tree of G with maximum number of leaves is not only NP-complete but also MAX SNP-complete. The approximation ratio of the previously best known approximation algorithm for maximum leaf spanning tree is three. However, the high-order running time required by the previous algorithm makes it impractical. In this paper we give a new factor-three approxim...Show More
This paper presents an algorithm for finding parallel elimination orders for Gaussian elimination. Viewing a system of equations as a graph, the algorithm can be applied directly to interval graphs and chordal graphs. For general graphs, the algorithm can be used to parallelize the order produced by some other heuristic such as minimum degree. In this case, the algorithm is applied to the chordal ...Show More
We present new design and analysis techniques for the synthesis of fast parallel multiplier circuits. V.G. Oklobdzija, D. Villeger, and S.S. Lui (1995) suggested a new approach, the three dimensional method (TDM), for partial product reduction tree (PPRT) design that produces multipliers which outperform the current best designs. The goal of TDM is to produce a minimum delay PPRT using full adders...Show More
Given an undirected graph representing a network of processors, and a source node containing a message that must be broadcast to all the nodes, find a scheme that accomplishes the broadcast in the minimum number of time steps. At each time step, any processor that has received the message is allowed to communicate the message to at most one of its neighbors in the network, i.e. can communicate via...Show More