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Approximations in Probabilistic Programs [article]

Ekansh Sharma, Daniel M. Roy
2019 arXiv   pre-print
If these terms are such that R t 1 γ , ( stat(t 0 , λx .t 1 ) γ ), C, ρ holds, then for all Iterate N (m 1 , λx .t 1 ) γ − Iterate N (m 2 , λx .t 1 ) γ tv ≤ Cρ N m 1 γ − m 2 γ . Proof.  ...  Thus the semantics is given as: sample(t) γ , A = t γ , A , where t γ ∈ M( A ).  ... 
arXiv:1912.06791v1 fatcat:c4wyee3lsjhbjag3cvubzntdry

Integrating Biological Control into Conservation Practice Roy G. van Driesche, Daniel Simberloff, Bernd Blossey, Charlotte Causton, Mark S. Hoddle, David L. Wagner, Christian O. Marks, Kevin M. Heinz and Keith D. Warner (eds.)

Donald C. Weber
2017 American Entomologist  
The lead editor, Roy van Driesche, has worked for years to bring together two important groups of applied ecologists: conservation biologists concerned with protecting and restoring threatened, minimally  ... 
doi:10.1093/ae/tmx029 fatcat:urqfdgn3zfbvrnueueg3id2hgq

The Mondrian Kernel [article]

Matej Balog, Balaji Lakshminarayanan, Zoubin Ghahramani, Daniel M. Roy, Yee Whye Teh
2016 arXiv   pre-print
The features are constructed by sampling trees via a Mondrian process [Roy and Teh, 2009], and we highlight the connection to Mondrian forests [Lakshminarayanan et al., 2014], where trees are also sampled  ...  MONDRIAN PROCESS For completeness, we review the Mondrian process [Roy and Teh, 2009, Roy, 2011, Chapter 5] .  ...  This confirms equivalence of our generative process to the one proposed by Roy and Teh [2009] .  ... 
arXiv:1606.05241v1 fatcat:ongsiwdkhrgitjpyjo76wlc72e

Sampling and Estimation for (Sparse) Exchangeable Graphs [article]

Victor Veitch, Daniel M. Roy
2016 arXiv   pre-print
Then there is a coupling such that P(H r = M r | G) ≤ r s a.s. (4.34) Proof.  ...  On this basis, Veitch and Roy argue that sparse exchangeable graphs can serve as a general statistical model for network data.  ...  Conditional on G k and s k , let X k r be an r/s k -sampling of G k and let M k r be a random subgraph of G k given by sampling Poi(v(G k )r/s k ) vertices with replacement and returning the edge set of  ... 
arXiv:1611.00843v1 fatcat:6qnwaioetnaznlytscbctaph6a

On the computability of graphons [article]

Nathanael L. Ackerman, Jeremy Avigad, Cameron E. Freer, Daniel M. Roy, Jason M. Rute
2018 arXiv   pre-print
Suppose h : N → M is a computable map. We say that a computable map g : M → N is a computable equivalence witnessed by h if d x, h(g(x)) = 0 for all x ∈ M and f y, g(h(y)) = 0 for all y ∈ N .  ...  Also, for each n ∈ N, let n := 1 − 2 −(2n+1) , let r n := 1 − 2 −(2n+2) , and let m n := n+rn 2 , so that 0 < 0 < m 0 < r 0 < 1 < m 1 < r 1 < . . . < 1. Define the constant graphon H * ≡ 1 2 .  ... 
arXiv:1801.10387v1 fatcat:5vg7wxb52rc7jjq476jqa2zt3a

Neural Network Matrix Factorization [article]

Gintare Karolina Dziugaite, Daniel M. Roy
2015 arXiv   pre-print
., 2009 ), we may have N users and M movies, and for some collection J ⊆ [N ] × [M ] of user-movie pairs (n, m), we have recorded the rating X n,m that user n gave movie m.  ...  Similarly, to each column, mM , we associate a latent feature vector V m ∈ R D and latent feature matrix V m ∈ R D ×K .  ... 
arXiv:1511.06443v2 fatcat:jboltjd7yvdypno3zz2ptl46c4

Existence of matching priors on compact spaces [article]

Haosui Duanmu, Daniel M. Roy, Aaron Smith
2020 arXiv   pre-print
The function ψ αβγδη (·, x ; π) is β-Lipschitz for all x ∈ X and π ∈ M(Θ). H. DUANMU, D. M. ROY, AND A.  ...  These tools have been used recently to establish general complete class theorems connecting Bayesian and frequentist statistics (Duanmu & Roy, 2020) .  ...  If π ∈ M(S) ∩ A b,a | S , then Inequality (2) implies Q S (π) ∈ A 1 2 b,a | S . If π ∈ M(S) \ A b,a | S , then Inequality (9) and the fact that a, b < 0.001 imply Q S (π) ∈ A b,a | S .  ... 
arXiv:2011.03655v1 fatcat:5ujwlown7zgo5pjxfy4kwox7ye

Particle Gibbs for Bayesian Additive Regression Trees [article]

Balaji Lakshminarayanan, Daniel M. Roy, Yee Whye Teh
2015 arXiv   pre-print
M. Roy, and Y. W.  ...  j=1 , σ 2 |Y, X) ∝ (Y |{T j , µ j } m j=1 , σ 2 , X) p({T j , µ j } m j=1 , σ 2 |X). (7) {T j , µ j } m j=1 .  ... 
arXiv:1502.04622v1 fatcat:w2ab2c5n3ndpbbbajcgvstduna

Gibbs-type Indian Buffet Processes

Creighton Heaukulani, Daniel M. Roy
2019 Bayesian Analysis  
) T (Y − M ) , (7.5) where M = (W • Z)A.  ...  This representation results from an application of Roy (2014, Theorem 1.4).  ... 
doi:10.1214/19-ba1166 fatcat:xg4zww5pc5dztndxupp7ckmdma

Gibbs-type Indian buffet processes [article]

Creighton Heaukulani, Daniel M. Roy
2015 arXiv   pre-print
Roy [44, Lem. 4.4] shows that M is the index of the first customer in the IBP to sample the k-th dish.  ...  −1 µ 1 (dp) [0,1] (1 − p) M −1 µ 1 (dp) (5.2) for some random element M in N.  ...  Constructions by Roy [44, Def. 6 .1] provide alternative simulation procedures, however, posterior inference algorithms have yet to be developed.  ... 
arXiv:1512.02543v1 fatcat:pgiatld7xngwtbs3a2u757pro4

Black-box constructions for exchangeable sequences of random multisets [article]

Creighton Heaukulani, Daniel M. Roy
2019 arXiv   pre-print
, 2014; Heaukulani and Roy, 2019) and hierarchies thereof (Thibaux and Jordan, 2007; Roy, 2014) , in which case it is convenient to have a black-box method.  ...  In particular, we call a random base measure H in M 0 (Ω, A) a hierarchy of beta processes if there exists a beta process B ∼ BP(c, B 0 ) such that H | B ∼ BP(c, B). (3.11) Roy (2014) provides the following  ... 
arXiv:1908.06349v1 fatcat:szjf5km6ofdkbltwcazjm2eajm

Instabilities in two-photon lasers

Daniel J. Gauthier, Hope M. Concannon, Rajarshi Roy
1993 Chaos in Optics  
The two-photon laser represents an entirely new class of quantum optical oscillator that promises to display a wealth of new and exciting nonlinear behavior. For example, the prediction that the turnon behavior of the laser is indicative of a first-order phase transition was verified in recent studies of the first continuous-wave two-photon laser. In addition, it was found experimentally that the field generated by the laser displayed dynamical instabilities under some conditions. We briefly
more » ... iew the properties of two-photon lasers that are pertinent to its dynamical characteristics and show that many of the interesting properties can be understood from a simple rate-equation model. Also, we describe our efforts at Duke to address the origin of instabilities in two-photon lasers.
doi:10.1117/12.164764 fatcat:br7ajwpmi5h3pmunt7fpp6jvoe

The Class of Random Graphs Arising from Exchangeable Random Measures [article]

Victor Veitch, Daniel M. Roy
2015 arXiv   pre-print
× n arrays to their leading m × m subarrays.  ...  . | M iid ∼ M. (2.4) We can express the distribution µ in terms of P: For a distribution m on R, let m ∞ be the distribution of an infinite i.i.d.-m sequence.  ... 
arXiv:1512.03099v1 fatcat:detwdgbhzbemrgr2anlhdln2wq

Not Only English: Affirming America's Multilingual Heritage

Alice M. Roy, Harvey A. Daniels, Karen L. Adams, Daniel T. Brink
1991 College composition and communication  
Daniels). (KEH)  ...  Victor Villanueva, Jr.); ( 9 ) "Anglo-Conformity: Folk Remedy for Lost Hegemony" (James Sledd); (10) "Disillusionment with Official English and the Search for Alternatives" (Mary Carol Combs and Lynn M.  ...  Daniels enunciated pluralistic position of their profession and their own worries.  ... 
doi:10.2307/358016 fatcat:2naqikns4zdtzpuqswekt3crvi

Probabilistically Accurate Program Transformations [chapter]

Sasa Misailovic, Daniel M. Roy, Martin C. Rinard
2011 Lecture Notes in Computer Science  
Define Y n 1 = A Y = n i=1 Y i and Y m 1 = P Y = m i=1 Y i and define X n 1 and X m 1 analogously.  ...  Therefore, the sum Y m 1 also has a gamma distribution with parameters α = mα, θ = θ, 1 Y m 1 has an inverse gamma distribution with mean (θ(mα − 1)) −1 , and so var(D) = σ 2 Z θ 1 mα − 1 − 1 nα − 1 .  ... 
doi:10.1007/978-3-642-23702-7_24 fatcat:dy7orqhh6zfcnise6o44jqzhwi
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