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1,682
Gaussian interference channel capacity to within one bit
 5534–5562, 2008. EURASIP Journal on Advances in Signal Processing
"... Abstract—The capacity of the twouser Gaussian interference channel has been open for 30 years. The understanding on this problem has been limited. The best known achievable region is due to Han and Kobayashi but its characterization is very complicated. It is also not known how tight the existing o ..."
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Cited by 452 (28 self)
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/s/Hz) of the capacity for all values of the channel parameters. We also show that the scheme is asymptotically optimal at certain high signaltonoise ratio (SNR) regimes. Using our results, we provide a natural generalization of the pointtopoint classical notion of degrees of freedom to interference
What Do Packet Dispersion Techniques Measure?
 IN PROCEEDINGS OF IEEE INFOCOM
, 2001
"... The packet pair technique estimates the capacity of a path (bottleneck bandwidth) from the dispersion (spacing) experienced by two backtoback packets [1][2][3]. We demonstrate that the dispersion of packet pairs in loaded paths follows a multimodal distribution, and discuss the queueing effects th ..."
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Cited by 313 (8 self)
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is not optimal. We then study the dispersion of long packet trains. Increasing the length of the packet train reduces the measurement variance, but the estimates converge to a value, referred to as Asymptotic Dispersion Rate (ADR), that is lower than the capacity. We derive the effect of the cross traffic
Asymptotic Behaviors of Support Vector Machines with Gaussian Kernel
"... Support vector machines (SVMs) with the Gaussian (RBF) kernel have been popular for practical use. Model selection in this class of SVMs involves two hyperparameters: the penalty parameter C and the kernel width σ. This paper analyzes the behavior of the SVM classifier when these hyperparameters tak ..."
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Cited by 163 (8 self)
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take very small or very large values. Our results help in a good understanding of the hyperparameter space that leads to an efficient heuristic method of searching for hyperparameter values with small generalization errors. The analysis also indicates that if complete model selection using the Gaussian
Iterative Retrieval of Sparsely Coded Associative Memory Patterns
 Neural Networks
, 1995
"... We investigate the pattern completion performance of neural autoassociative memories composed of binary threshold neurons for sparsely coded binary memory patterns. Focussing on iterative retrieval, effective threshold control strategies are introduced. These are investigated by means of computer s ..."
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Cited by 32 (15 self)
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simulation experiments and analytical treatment. To evaluate the systems performance we consider the completion capacity C and the mean retrieval errors. The asymptotic completion capacity values for the recall of sparsely coded binary patterns in onestep retrieval is known to be ln 2=4 ß 17:32% for binary
Conformal properties of fourgluon Planar Amplitudes and Wilson Loops
, 2008
"... We present further evidence for a dual conformal symmetry in the fourgluon planar scattering amplitude in N = 4 SYM. We show that all the momentum integrals appearing in the perturbative onshell calculations up to four loops are dual to true conformal integrals, well defined off shell. Assuming th ..."
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Cited by 197 (19 self)
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that the complete offshell amplitude has this dual conformal symmetry and using the basic properties of factorization of infrared divergences, we derive the special form of the finite remainder previously found at weak coupling and recently reproduced at strong coupling by AdS/CFT. We show that the same finite
Samplingbased algorithms for optimal motion planning
 International Journal of Robotics Research (IJRR
"... During the last decade, samplingbased path planning algorithms, such as Probabilistic RoadMaps (PRM) and Rapidlyexploring Random Trees (RRT), have been shown to work well in practice and possess theoretical guarantees such as probabilistic completeness. However, little effort has been devoted to t ..."
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Cited by 187 (14 self)
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a constant factor of that of their probabilistically complete (but not asymptotically optimal) counterparts. The analysis in this paper hinges on novel connections between stochastic samplingbased path planning algorithms and the theory of random geometric graphs.
Asymptotic capacity gain of transmit antenna selection
 in Proc. WNCG Symposium
, 2003
"... Antenna selection provides a lowcost low complexity solution for MIMO systems, in particular transmit antenna selection exploits partial knowledge of the channel that can be made available without excessive feedback bandwidth. In this work we explore information theoretic limits of transmit antenna ..."
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Cited by 5 (4 self)
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antenna selection for high SNR and large number of transmit antennas. We define the capacity gain as the constant term in the asymptotic expansion of the ergodic capacity with respect to the SNR. We show that this value is directly related to the channel state information (CSI) at the transmitter. We
Behavioral theories and the neurophysiology of reward,
 Annu. Rev. Psychol.
, 2006
"... ■ Abstract The functions of rewards are based primarily on their effects on behavior and are less directly governed by the physics and chemistry of input events as in sensory systems. Therefore, the investigation of neural mechanisms underlying reward functions requires behavioral theories that can ..."
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Cited by 187 (0 self)
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for me is higher or lower or similar compared with one dollar. To be able to put a quantifiable, numerical value onto every reward, even when the value is shortlived, has enormous advantages for getting rewardrelated behavior under experimental control. To obtain a more complete picture, we need
Currents carried by sodium and potassium ions through the membrane of the giant axon of Loligo
 J. Phys8l
, 1952
"... description of the time course of the current which flows through the membrane of the squid giant axon when the potential difference across the membrane is suddenly changed from its resting value, and held at the new level by a feedback circuit ('voltage clamp ' procedure). This article ..."
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Cited by 168 (4 self)
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and 100 mV. the initial current (after completion of the quick pulse through the membrane capacity) was in the inward direction, that is to say, the reverse ofthe direction of the current which the same voltage change would have caused to flow in an ohmic resistance. The inward current was of the right
Entanglementassisted capacity of a quantum channel and the reverse shannon theorem
 IEEE Trans. Inf. Theory
, 2002
"... Abstract—The entanglementassisted classical capacity of a noisy quantum channel ( ) is the amount of information per channel use that can be sent over the channel in the limit of many uses of the channel, assuming that the sender and receiver have access to the resource of shared quantum entangleme ..."
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Cited by 113 (6 self)
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/attenuation and Gaussian noise. We discuss how many independent parameters are required to completely characterize the asymptotic behavior of a general quantum channel, alone or in the presence of ancillary resources such as prior entanglement. In the classical analog of entanglementassisted communication
Results 1  10
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1,682