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A fast learning algorithm for deep belief nets
 Neural Computation
, 2006
"... We show how to use “complementary priors ” to eliminate the explaining away effects that make inference difficult in denselyconnected belief nets that have many hidden layers. Using complementary priors, we derive a fast, greedy algorithm that can learn deep, directed belief networks one layer at a ..."
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Cited by 970 (49 self)
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very good generative model of the joint distribution of handwritten digit images and their labels. This generative model gives better digit classification than the best discriminative learning algorithms. The lowdimensional manifolds on which the digits lie are modelled by long ravines in the freeenergy
The Impact of Data Aggregation in Wireless Sensor Networks
"... Sensor networks are distributed eventbased systems that differ from traditional communication networks in several ways: sensor networks have severe energy constraints, redundant lowrate data, and manytoone flows. Datacentric mechanisms that perform innetwork aggregation of data are needed in th ..."
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Cited by 400 (12 self)
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in this setting for energyefficient information flow. In this paper we model datacentric routing and compare its performance with traditional endtoend routing schemes. We examine the impact of sourcedestination placement and communication network density on the energy costs and delay associated with data
Tachyon condensation on the braneantibrane system
 JHEP
, 1998
"... A coincident Dbrane antiDbrane pair has a tachyonic mode. We present an argument showing that at the classical minimum of the tachyonic potential the negative energy density associated with the potential exactly cancels the sum of the tension of the brane and the antibrane, thereby giving a con ..."
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Cited by 307 (10 self)
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A coincident Dbrane antiDbrane pair has a tachyonic mode. We present an argument showing that at the classical minimum of the tachyonic potential the negative energy density associated with the potential exactly cancels the sum of the tension of the brane and the antibrane, thereby giving a
The Variational Formulation of the FokkerPlanck Equation
 SIAM J. Math. Anal
, 1999
"... The FokkerPlanck equation, or forward Kolmogorov equation, describes the evolution of the probability density for a stochastic process associated with an Ito stochastic differential equation. It pertains to a wide variety of timedependent systems in which randomness plays a role. In this paper, ..."
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Cited by 282 (22 self)
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of this iterative scheme is that the time step is governed by the Wasserstein metric on probability measures. This formulation enables us to reveal an appealing, and previously unexplored, relationship between the FokkerPlanck equation and the associated free energy functional. Namely, we demonstrate
Optimizing Sensor Networks in the EnergyLatencyDensity Design Space
 IEEE TRANSACTIONS ON MOBILE COMPUTING
, 2002
"... In wireless sensor networks, energy efficiency is crucial to achieving satisfactory network lifetime. To reduce the energy consumption significantly, a node should turn off its radio most of the time, except when it has to participate in data forwarding. We propose a new technique, called Sparse T ..."
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Cited by 194 (1 self)
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Topology and Energy Management (STEM), which efficiently wakes up nodes from a deep sleep state without the need for an ultra lowpower radio. The designer can trade the energy efficiency of this sleep state for the latency associated with waking up the node. In addition, we integrate STEM
Complete suboptimal folding of RNA and the stability of secondary structures
 BIOPOLYMERS 49:145–165
, 1999
"... An algorithm is presented for generating rigorously all suboptimal secondary structures between the minimum free energy and an arbitrary upper limit. The algorithm is particularly fast in the vicinity of the minimum free energy. This enables the efficient approximation of statistical quantities, s ..."
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Cited by 215 (23 self)
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, such as the partition function or measures for structural diversity. The density of states at low energies and its associated structures are crucial in assessing from a thermodynamic point of view how welldefined the ground state is. We demonstrate this by exploring the role of base modification in tRNA secondary
Global and regional climate changes due to black carbon,
 Nat. Geosci.,
, 2008
"... Figure 1: Global distribution of BC sources and radiative forcing. a, BC emission strength in tons per year from a study by Bond et al. Full size image (42 KB) Review Nature Geoscience 1, 221 227 (2008 Black carbon in soot is the dominant absorber of visible solar radiation in the atmosphere. Ant ..."
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Cited by 228 (5 self)
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of aerosol optical depth, simulated with a regional aerosolchemistry transport model 96 (see areas with BC optical depth > 0.01 in What are the opportunities to reduce the positive forcing by BC? Providing alternative energyefficient and smokefree cookers and introducing transferring technology
Variational characterisation of Gibbs measures with Delaunay triangle interaction
, 2009
"... This paper deals with stationary Gibbsian point processes on the plane with an interaction that depends on the tiles of the Delaunay triangulation of points via a bounded triangle potential. It is shown that the class of these Gibbs processes includes all minimisers of the associated free energy den ..."
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Cited by 3 (1 self)
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This paper deals with stationary Gibbsian point processes on the plane with an interaction that depends on the tiles of the Delaunay triangulation of points via a bounded triangle potential. It is shown that the class of these Gibbs processes includes all minimisers of the associated free energy
The energy density in . . .
, 2010
"... We study the critical Ising model on the square lattice in bounded simply connected domains with + and free boundary conditions. We relate the energy density of the model to a discrete fermionic spinor and compute its scaling limit by discrete complex analysis methods. As a consequence, we obtain ..."
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We study the critical Ising model on the square lattice in bounded simply connected domains with + and free boundary conditions. We relate the energy density of the model to a discrete fermionic spinor and compute its scaling limit by discrete complex analysis methods. As a consequence, we obtain
FreeEnergy Density of the ShapeMemory Alloy AuZn
"... The shapememory alloy AuZn transforms martensitically (T M ¼ 65 K) from a cubic B2 (Pm " 3 3m) to a rhombohedral Rphase (P3) through softening of the TA 2 [110] phonon branch. We report elastic constants, specific heat, and thermal expansivity measurements through the transition. A large ela ..."
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. On the basis of these measurements, combined with established grouptheoretical symmetry criteria, the freeenergy density is presented with atomic shuffle displacements as the primary order parameter, Q. We use this freeenergy model to explain the atomic displacements in the Rphase.
Results 1  10
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