Algorithms



Systems and Methods for Communication Using Sparsity Based Pre-Compensation



Publication Source: Patent US10097280B2

A signal pre-compensation system analyzes one or more properties of a communication medium and, taking advantage of the locality of propagation, generates using sparse fast Fourier transform (sFFT) a sparse kernel based on the medium properties. The system models propagation of data signals through the medium as a fixed-point iteration based on the sparse kernel, and determines initial amplitudes for the data symbol(s) to be transmitted using different communication medium modes. Fixed-point iterations are performed using the sparse kernel to iteratively update the initial amplitudes. If the iterations converge, a subset of the finally updated amplitudes is used as launch amplitudes for the data symbol(s). The data symbol(s) can be modulated using these launch amplitudes such that upon propagation of the pre-compensated data symbol(s) through the communication medium, they would resemble the original data symbols at a receiver, despite any distortion and/or cross-mode interference in the communication medium.
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Computationally Efficient CP Tensor Decomposition Update Framework for Emerging Component Discovery in Streaming Data



Publication Source: 2018 IEEE High Performance Extreme Computing Conference (HPEC '18), Waltham, MA, USA [Best Paper Award]

We present streaming CP update, an algorithmic framework for updating CP tensor decompositions that possesses the capability of identifying emerging components and can produce decompositions of large, sparse tensors streaming along multiple modes at a low computational cost. We discuss a large-scale implementation of the proposed scheme integrated within the ENSIGN tensor analysis package, and we evaluate and demonstrate the performance of the framework, in terms of computational efficiency and capability to discover emerging components, on a real cyber dataset.

Accelerating Dijkstra's Algorithm Using Multiresolution Priority Queues



Publication Source: 2018 IEEE High Performance Extreme Computing Conference (HPEC '18), Waltham, MA, USA

Multiresolution priority queues are data structures recently discovered by Reservoir Labs that reduce the entropy of some critical graph algorithms—such as Dijkstra’s or Prim’s algorithms—and deliver new lower computational complexity bounds. These new data structures are capable of exploiting the multiresolution properties of discrete algorithms, a characteristic that has been otherwise overlooked in the field of graph algorithms. Similar to the concept of resolution found in signal processing—by which a signal can be undersampled while information loss is zero or very small—graphs’ entropy tends to be concentrated in regions that can be efficiently exploited by multiresolution data structures. In this approach, a small controllable bounded discrete error is introduced in a way that entropy is substantially reduced, resulting in new lower computational complexity algorithms.

While the fastest currently known graph algorithms provide exact solutions at the expense of incurring high computational costs, a multiresolution graph algorithm is capable of softening graph problems and breaking their current information theoretic barriers, introducing a small amount of controlled error in a way that the problem’s entropy is reduced. As a result, a new class of higher performance graph algorithms is enabled, enabling the solution of previously deemed intractable problems by identifying solutions that are close to optimal and within a known bounded error.


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High Speed Elephant Flow Detection Under Partial Information



Publication Source: 2018 IEEE International Symposium on Networks, Computers and Communications

In this paper we introduce a new framework to detect elephant flows at very high speed rates and under uncertainty. The framework provides exact mathematical formulas to compute the detection likelihood and introduces a new flow reconstruction lemma under partial information. These  theoretical results lead to the design of BubbleCache, a new elephant flow detection algorithm  designed to operate near the optimal tradeoff between computational scalability and accuracy by dynamically tracking the traffic’s natural cutoff sampling rate. We demonstrate on a real world 100 Gbps network that the BubbleCache algorithm helps reduce the computational cost by a factor of 1000 and the memory requirements by a factor of 100 while detecting the top flows on the network with very high probability.


A Pragmatic Approach of Determining Heavy-Hitter Traffic Thresholds



Publication Source: 2018 IEEE European Conference on Networks and Communications (EuCNC), Ljubljana, Slovania

Heavy-hitter flows or Cheetah Flows (CF), which are high-rate flows can result in increased packet losses and delay in general Internet traffic. A Cheetah Flow Traffic Engineering System (CFTES) is presented, which can dynamically compute a heavy-hitter or CF threshold using information from the general background traffic. The system works in conjunction with a Cheetah Flow Identification Network Function (CFINF) to detect CFs at high-link rates using an SDN controller for actions involving redirection of CFs to a lower priority scavenger queue.
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