It is demonstrated that codewords of good codes for the additive white Gaussian noise (AWGN) channel become more and more isotropically distributed (in the sense of evaluating quadratic forms) and resemble white Gauss...
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It is demonstrated that codewords of good codes for the additive white Gaussian noise (AWGN) channel become more and more isotropically distributed (in the sense of evaluating quadratic forms) and resemble white Gaussian noise (in the sense of ℓ p norms) as the code approaches closer to the fundamental limits. In particular, it is shown that the optimal Gaussian code must necessarily have peak-to-average power ratio (PAPR) of order log n.
A k-modal probability distribution over the domain {1, …, n} is one whose histogram has at most k "peaks" and "valleys." Such distributions are natural generalizations of monotone (k = 0) and unim...
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ISBN:
(纸本)9781611972108
A k-modal probability distribution over the domain {1, …, n} is one whose histogram has at most k "peaks" and "valleys." Such distributions are natural generalizations of monotone (k = 0) and unimodal (k = 1) probability distributions, which have been intensively studied in probability theory and statistics. In this paper we consider the problem of learning an unknown k-modal distribution. The learning algorithm is given access to independent samples drawn from the k-modal distribution p, and must output a hypothesis distribution p{top}^ such that with high probability the total variation distance between p and p{top}^ is at most ε. We give an efficient algorithm for this problem that runs in time poly(k, log(n), 1/ε). For k ≤~O((log n)~(1/2)), the number of samples used by our algorithm is very close (within an O(log(1/ε)) factor) to being information-theoretically optimal. Prior to this work computationally efficient algorithms were known only for the cases k = 0, 1 [Bir87b, Bir97]. A novel feature of our approach is that our learning algorithm crucially uses a new property testing algorithm as a key subroutine. The learning algorithm uses the property tester to efficiently decompose the k-modal distribution into k (near)-monotone distributions, which are easier to learn.
We study the problem of relay design and placement for On-Off Keying signals. We assume that the relay is memoryless and consider both, coherent and non-coherent devices. We derive the optimal coherent relay and compa...
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We study the problem of relay design and placement for On-Off Keying signals. We assume that the relay is memoryless and consider both, coherent and non-coherent devices. We derive the optimal coherent relay and compare its performance and placement to those of a coherent hard-limiter and a non-coherent one. Overall we note that the use of a coherent hard-limiter is near optimal, especially after placement optimization, and its performance degradation is mainly due to the energy-inefficiency of OOK signals.
Session:空间天气科学前沿-电离层Type of presentation:口头报告Key word:Patches of ionization are common in the polar ionosphere where their motion and associ-ated density gradients give variable disturbances to High Fre...
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Session:空间天气科学前沿-电离层Type of presentation:口头报告Key word:Patches of ionization are common in the polar ionosphere where their motion and associ-ated density gradients give variable disturbances to High Frequency(HF)radio communic-ations,over-the-horizon radar location errors,and disruption and errors to satellite naviga-tion and *** formation and evolution
This paper continues the investigation of the combinatorial formulation of the joint source-channel coding problem. In particular, the connections are drawn to error-reducing codes, isometric embeddings and list-decod...
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This paper continues the investigation of the combinatorial formulation of the joint source-channel coding problem. In particular, the connections are drawn to error-reducing codes, isometric embeddings and list-decodable codes. The optimal performance for the repetition construction is derived and is shown to be achievable by low complexity Markov decoders. The compound variation of the problem is proposed and some initial results are put forward.
This paper introduces the problem of joint source-channel coding in the setup where channel errors are adversarial and the distortion is worst case. Unlike the situation in the case of stochastic source-channel model,...
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ISBN:
(纸本)9781467325790
This paper introduces the problem of joint source-channel coding in the setup where channel errors are adversarial and the distortion is worst case. Unlike the situation in the case of stochastic source-channel model, the separation principle does not hold in adversarial setup. This surprising observation demonstrates that designing good distortion-correcting codes cannot be done by serially concatenating good covering codes with good error-correcting codes. The problem of the joint code design is addressed and some initial results are offered.
Marine robots are an increasingly attractive means for observing and monitoring the ocean, but underwater acoustic communications remain a major challenge. The channel exhibits long delay spreads with frequency-depend...
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ISBN:
(纸本)9781467349420
Marine robots are an increasingly attractive means for observing and monitoring the ocean, but underwater acoustic communications remain a major challenge. The channel exhibits long delay spreads with frequency-dependent attenuation;moreover, it is time-varying. We consider the minimum energy wireless transmission problem [MET], augmented by the practical condition that constraints on link power must be satisfied in probability. For this, we formulate the robust counterpart of the multicommodity mixed-integer linear programming (MDLP) model from Haugland and Yuan [1], and derive scaled power levels that account for uncertainty. Our main result is that the deterministic formulation with these scaled power levels recovers exactly the optimal robust solution in the absence of correlations, and therefore allows for efficient solution via MILP. This approach achieves significant power improvements over heuristics, and naturally lends itself to vehicle networks.
In this paper, we examine in an abstract framework, how a tradeoff between efficiency and risk arises in different dynamic oligopolistic market architectures. We consider a market in which there is a monopolistic reso...
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ISBN:
(纸本)9781467320658
In this paper, we examine in an abstract framework, how a tradeoff between efficiency and risk arises in different dynamic oligopolistic market architectures. We consider a market in which there is a monopolistic resource provider and agents that enter and exit the market following a random process. Self-interested and fully rational agents dynamically update their resource consumption decisions over a finite time horizon, under the constraint that the total resource consumption requirements are met before each individual's deadline. We then compare the statistics of the stationary aggregate demand processes induced by the non-cooperative and cooperative load scheduling schemes. We show that although the non-cooperative load scheduling scheme leads to an efficiency loss - widely known as the "price of anarchy" - the stationary distribution of the corresponding aggregate demand process has a smaller tail. This tail, which corresponds to rare and undesirable demand spikes, is important in many applications of interest. On the other hand, when the agents can cooperate with each other in optimizing their total cost, a higher market efficiency is achieved at the cost of a higher probability of demand spikes. We thus posit that the origins of endogenous risk in such systems may lie in the market architecture, which is an inherent characteristic of the system.
Patches of ionization are common in the polar ionosphere where their motion and associated density gradients give variable disturbances to High Frequency(HF)radio communications,over-the-horizon radar location errors,...
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Patches of ionization are common in the polar ionosphere where their motion and associated density gradients give variable disturbances to High Frequency(HF)radio communications,over-the-horizon radar location errors,and disruption and errors to satellite navigation and *** formation and evolution are poorly understood,particularly under disturbed space weather *** report direct observations of the full evolution of patches during a geomagnetic storm,including formation,polar cap entry,transpolar evolution,polar cap exit,and sunward return *** observations show that modulation of nightside reconnection in the substorm cycle of the magnetosphere helps form the gaps between patches where steady convection would give a"tongue"of ionization(TOI).
This work proposes a way to align statistical modeling with decision making. We provide a method that propagates the uncertainty in predictive modeling to the uncertainty in operational cost, where operational cost is...
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This work proposes a way to align statistical modeling with decision making. We provide a method that propagates the uncertainty in predictive modeling to the uncertainty in operational cost, where operational cost is the amount spent by the practitioner in solving the problem. The method allows us to explore the range of operational costs associated with the set of reasonable statistical models, so as to provide a useful way for practitioners to understand uncertainty. To do this, the operational cost is cast as a regularization term in a learning algorithm's objective function, allowing either an optimistic or pessimistic view of possible costs, depending on the regularization parameter. From another perspective, if we have prior knowledge about the operational cost, for instance that it should be low, this knowledge can help to restrict the hypothesis space, and can help with generalization. We provide a theoretical generalization bound for this scenario. We also show that learning with operational costs is related to robust optimization.
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