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Stochastic geometry to generalize the Mondrian Process
[article]
2021
arXiv
pre-print
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The case of random axis-aligned cuts is known as the Mondrian process. ...
This allows for precise comparisons between the Mondrian forest, the Mondrian kernel and the Laplace kernel in density estimation. ...
What does one gain by working with the more general STIT processes instead of the Mondrian? ...
arXiv:2002.00797v3
fatcat:ssyvywbjlzadhpssh6purrrvam
The Mondrian Process for Machine Learning
[article]
2015
arXiv
pre-print
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This report is concerned with the Mondrian process and its applications in machine learning. ...
The Mondrian process is a guillotine-partition-valued stochastic process that possesses an elegant self-consistency property. ...
The Mondrian process was conceived precisely so that the distribution of this stochastic process is again a Mondrian process [4] . ...
arXiv:1507.05181v1
fatcat:wqpgy67p7reylcoioquupg773e
The Mondrian Kernel
[article]
2016
arXiv
pre-print
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via a Mondrian process, but fit independently. ...
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 ...
Part of this research was carried out while MB was at the University of Oxford. BL gratefully acknowledges generous funding from the Gatsby Charitable Foundation. ...
arXiv:1606.05241v1
fatcat:ongsiwdkhrgitjpyjo76wlc72e
Efficient indexing structure for scalable processing of spatial alarms
2010
Proceedings of the 18th SIGSPATIAL International Conference on Advances in Geographic Information Systems - GIS '10
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We evaluate the efficiency of the Mondrian tree indexing approach and show that the Mondrian tree offers significant performance enhancements on spatial alarm processing at both the server side and the ...
We present the design and implementation of a new indexing technique, Mondrian tree. ...
CONCLUSIONS We have described the design and development of the Mondrian tree index for efficient processing of spatial alarms. ...
doi:10.1145/1869790.1869853
dblp:conf/gis/DooLNV10
fatcat:ndo5lt5etzbzzaw3dxl4amkc2i
Universal consistency and minimax rates for online Mondrian Forests
[article]
2017
arXiv
pre-print
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First, we amend the original Mondrian Forest algorithm, that considers a fixed lifetime parameter. ...
We establish the consistency of an algorithm of Mondrian Forests, a randomized classification algorithm that can be implemented online. ...
a Mondrian process to a larger cell using conditional Mondrian processes. ...
arXiv:1711.02887v1
fatcat:cbuql566wrftvi47rauhbdqqie
Mondrian hidden Markov model for music signal processing
2014
2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
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We specifically present a nonparametric Bayesian approach to the proposed state-space model whose network structure is represented by a Mondrian Process-based relational model. ...
In our model, the state-transition matrices are viewed as representations of relational data reflecting a network structure between the hidden states. ...
For the Mondrian HMM, we evaluate two variants: one is the original version; the other is the IRM for the Mondrian process (called IRM-HMM). ...
doi:10.1109/icassp.2014.6854031
dblp:conf/icassp/NakanoOKMK14
fatcat:lgdvihctnrgwrpvpgphjn3bcoq
Mondrian tree
2013
ACM Transactions on Intelligent Systems and Technology
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Then we describe a suite of Mondrian Tree optimizations to further enhance the performance of spatial alarm processing. ...
the alarm evaluation process for the computed AFP, to save battery power, until approaching the nearest alarm of interest. ...
This process iterates recursively until all alarm objects in the ordered list are inserted in the Mondrian* tree. ...
doi:10.1145/2542182.2542186
fatcat:ax24zzov6rc6tb4wt6rpargrxq
Continuous flash suppression: Known and unknowns
2020
Psychonomic Bulletin & Review
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There are, however, crucial unanswered questions regarding the mechanisms of suppression and the level of visual processing in the absence of consciousness with CFS. ...
The aim of this review is to evaluate the impact of different experimental configurations and the assessment of consciousness on the results of the previous CFS studies. ...
Fabian Soto, Bethany Reeb-Sutherland, Jorge Riera Diaz, and Sang Wook Hong for their comments on the earlier version of this manuscript. ...
doi:10.3758/s13423-020-01771-2
pmid:32671572
fatcat:wjyyubp44befjb3e44hs2vuhia
Reducing numerical precision preserves classification accuracy in Mondrian Forests
[article]
2021
arXiv
pre-print
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We conclude that numerical precision is a relevant hyperparameter in the Mondrian Forest, and that commonly-used double precision values may not be necessary for optimal performance. ...
We applied the Mondrian Forest implementation provided by OrpailleCC, a C++ collection of data stream algorithms, to two canonical datasets in human activity recognition: Recofit and Banos et al. ...
ACKNOWLEDGMENTS We thank Compute Canada and Calcul Québec for providing the computing infrastructure for our experiments. This work ...
arXiv:2106.14340v1
fatcat:nlmmcrx5qfbwte3awayn7eggmi
Mondrian Forests: Efficient Online Random Forests
[article]
2015
arXiv
pre-print
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In this work, we use Mondrian processes (Roy and Teh, 2009) to construct ensembles of random decision trees we call Mondrian forests. ...
Mondrian forests can be grown in an incremental/online fashion and remarkably, the distribution of online Mondrian forests is the same as that of batch Mondrian forests. ...
Mondrian processes are natural candidates for the partition structure of random decision trees, but Mondrian processes on R D are, in general, infinite structures that we cannot represent all at once. ...
arXiv:1406.2673v2
fatcat:dpie5k6dqzbdddz4nuk45azjc4
Interpretable Anomaly Detection with Mondrian Pólya Forests on Data Streams
[article]
2020
arXiv
pre-print
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To solve these issues, we contextualise these methods in a probabilistic framework which we call the Mondrian Forest for estimating the underlying probability density function generating the data and enabling ...
However, these methods rely on ad-hoc score functions that are not easy to interpret, making it difficult to asses the severity of the detected anomalies or select a reasonable threshold in the absence ...
The Mondrian Tree builds on the Mondrian Process by building the trees in a more data-aware fashion. ...
arXiv:2008.01505v1
fatcat:ph34jmsogrd2rdqxab6uu452jq
Waves of visibility: probing the depth of inter-ocular suppression with transient and sustained targets
2014
Frontiers in Psychology
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This poses a limit to the inferences that researchers make about the extent of non-conscious processes. ...
In order to study non-conscious visual processing, researchers render otherwise consciously perceived images into invisible stimuli. ...
ACKNOWLEDGMENT David Melcher was supported by the European Research Council (ERC grant agreement no. 313658). ...
doi:10.3389/fpsyg.2014.00804
pmid:25126081
pmcid:PMC4115669
fatcat:i4ddl2eizja5bpz2rivfp6afsu
Minimax optimal rates for Mondrian trees and forests
[article]
2019
arXiv
pre-print
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One particular instance of such forests is the Mondrian Forest, whose trees are built using the so-called Mondrian process, therefore allowing to easily update their construction in a streaming fashion ...
Furthermore, we prove that an adaptive procedure (to the unknown s ∈ (0, 2]) can be constructed by combining Mondrian Forests with a standard model aggregation algorithm. ...
Mondrian Process. ...
arXiv:1803.05784v2
fatcat:3qti7vezrre7tfbtpleefbmpwy
Interocular suppression differentially affects achromatic and chromatic mechanisms
2009
Attention, Perception & Psychophysics
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Regardless of the specifics of the underlying neural mechanisms, the present results suggest that different CFS configurations may have a different impact on visual processing of different aspects of the ...
of the chromatic and spatial frequency properties of the CFS stimulus and the stimulus presented to the other eye. of mechanisms selective for processing those two visual qualities (Gegenfurtner & Hawken ...
doi:10.3758/app.71.2.403
pmid:19304629
pmcid:PMC2734383
fatcat:ym7ieomi5rfhxk3n5gg4wzut3a
Mondrian Processes for Flow Cytometry Analysis
[article]
2017
arXiv
pre-print
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In this paper, we propose using Mondrian processes to perform automated gating by incorporating prior information of the kind used by gating technicians. ...
Current clinical workflows rely on a manual process called gating to classify cells into their canonical types. ...
The content is solely the responsibility of the authors and does not necessarily represent the official views of the National Institutes of Health or the National Science Foundation. ...
arXiv:1711.07673v2
fatcat:jf2mwzgu5fabfcgrz5w7tw54fe
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