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13 Feb 2023: To efficiently learn thenode parameters, we used Hamiltonian (hybrid) Monte Carlo (HMC) [24], taking 25 leapfrog HMCsteps, with a randomized step size. ... 24] Radford M. Neal. MCMC using Hamiltonian dynamics. In Handbook of Markov chain Monte

13 Feb 2023: 0897 1.0720 0.0855Sugar process 7 268 571 4 0.3323 0.0010 0.3303 0.0009 0.2242 0.0009Dorrit 27 551 24 5 0.5556 0.0075 ... In this experimentwith about 2.24 million training points, it took about0.5 hour to complete 100 iterations of the EM algo-rithm on

13 Feb 2023: While [23, 24] represent the formalism of first-orderlogic by factor graph models, [27] and [29] deal with Bayesian networks appliedto first-order logic. ... 1094–1099. AAAI Press(2008). 24. Domingos, P., Richardson, M.: Markov Logic Networks.

27 Jan 2023: 50.27 (86) 0.24 (92) 0.15 0.18 0.40 (85) 0.02 0.12 0.09. ... 0.27 (26) 0.13 (25) 0.03 0.11 0.31 (24) -0.89 -0.80 -0.65100 64.6 2.1 59.0 3.6 58.5 2.9

13 Feb 2023: Using the definition of S in (24), the productof the two Gaussians in (36) results in a new (unnormalized) Gaussianc14 N(xt1 |ψi, Ψ) with. ... 24] J. Kocijan, R. Murray-Smith, C. E. Rasmussen, and B. Likar, “PredictiveControl with Gaussian Process

27 Jan 2023: Behavioral and Brain. Sciences, 24:629–641.[6] Tong, S. (2005). Personal communication.

13 Feb 2023: Publications, Machine Learning Group, Department of Engineering, Cambridge. current group:. [former members:. [by year:. [2022. James Urquhart Allingham, Florian Wenzel, Zelda E Mariet, Basil Mustafa, Joan Puigcerver, Neil Houlsby, Ghassen Jerfel,

13 Feb 2023: We estimate the Dirichlet parameter β by using the fixed-point iteration method described in [24]. ... γW. EnX. n′=1. αun exp(γtn)! , (24). where W () is the Lambert W function, which solves theequation x = W (x) exp(W (x)), and.

13 Feb 2023: Ex[σ2(x)] varx(µ(x. )) (24). where Ex indicates the expectation under x.

27 Jan 2023: A factor analyzer with 24 hidden units discoversglobal features with both excitatory and inhibitory components (gure 9a). ... a) Weights from the top layer hidden unit to the 24 middle-layer hidden units.