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Probabilistic Regression of Rotations using Quaternion Averaging and a Deep Multi-Headed Network [article]

Valentin Peretroukhin, Brandon Wagstaff, Matthew Giamou, Jonathan Kelly
2020 arXiv   pre-print
Second, we extend HydraNet to targets that belong to the rotation group, SO(3), by regressing unit quaternions and using the tools of rotation averaging and uncertainty injection onto the manifold to produce  ...  In this work, we present a method to extract probabilistic estimates of rotation from deep regression models.  ...  We used the quaternionic metric on SO(3) to define a rotation average, and extracted anisotropic covariances by modelling uncertainty through noise injection on the manifold.  ... 
arXiv:1904.03182v2 fatcat:ceqsasy4wjexxc7buppy6d7ddq

Sleep Posture One-Shot Learning Framework Using Kinematic Data Augmentation: In-Silico and In-Vivo Case Studies [article]

Omar Elnaggar, Frans Coenen, Andrew Hopkinson, Lyndon Mason, Paolo Paoletti
2022 arXiv   pre-print
The proposed framework is validated on a rich set of twelve postures in two experimental pipelines: computer animation to obtain synthetic postural data, and human participant pilot study using custom-made  ...  The proposed framework attained promising overall accuracy as high as 100% on synthetic data and 92.7% on real data, on par with state of the art data-hungry algorithms available in the literature.  ...  Acknowledgements The authors would like to thank Daniel Potts for his assistance with the development of the wearable sensors.  ... 
arXiv:2205.10778v1 fatcat:lyyujklpwvh2bllt3licpc4eza

3D Human Motion Prediction: A Survey [article]

Kedi Lyu, Haipeng Chen, Zhenguang Liu, Beiqi Zhang, Ruili Wang
2022 arXiv   pre-print
Due to the increasing development and understanding of Deep Neural Networks (DNNs) and the availability of large-scale human motion datasets, the human motion prediction has been remarkably advanced with  ...  a surge of interest among academia and industrial community.  ...  In [106] , Average Pairwise Distance (APD) is used to measure sample diversity.  ... 
arXiv:2203.01593v2 fatcat:4zb4xcy5ybedlfennm3baf2ssy

Towards a fourth spatial dimension of brain activity

Arturo Tozzi, James F. Peters
2016 Cognitive Neurodynamics  
Physical and biological counterparts of BUT and its variants allow an inquiry of the brain activity.  ...  CONTENT The fourth dimension of brain activity and novel correlated neurotechniques 1  ...  A direct proof of this theorem is symmetric with the proof of the Borsuk-Ulam Theorem is given by , since we assume that S d is an inner sphere of S n symmetric about the center of S n and, from the Schleicher  ... 
doi:10.1007/s11571-016-9379-z pmid:27275375 pmcid:PMC4870410 fatcat:kgfvl25o6fcpfdiitcmvaumska

Cognitive Constructivism and the Epistemic Significance of Sharp Statistical Hypotheses in Natural Sciences [article]

J.M. Stern
2020 arXiv   pre-print
This book presents our case in defense of a constructivist epistemological framework and the use of compatible statistical theory and inference tools.  ...  This metaphor has proven to be very useful, leading the development of Bayesian statistics since its XX-th century revival, rooted on the work of de Finetti, Savage and others.  ...  For example, section 5.7.2 arrives at statements giving the (probabilistic) uncertainty of (probabilistic) transition rates.  ... 
arXiv:1006.5471v8 fatcat:v375ybolz5bkbe6ordmjnnulhi

CARS 2020—Computer Assisted Radiology and Surgery Proceedings of the 34th International Congress and Exhibition, Munich, Germany, June 23–27, 2020

2020 International Journal of Computer Assisted Radiology and Surgery  
Preface Analogue and Digital CARS 2020 Congress The overarching purpose of the scholarly publication and communication process of IJCARS in the context of the CARS congress could be defined as: "To enable  ...  of the outstanding features of CARS is the personal (analogue) interaction of participants from different disciplines and cultures.  ...  Besides, use of gloves is low, so doses of hands are still high. Therefore, a master-slave robotic system for VI is necessary for minimization of the radiation exposure.  ... 
doi:10.1007/s11548-020-02171-6 pmid:32514840 fatcat:lyhdb2zfpjcqbf4mmbunddwroq

Contributions to the Quantum Optics of Multi-mode Optical Parametric Oscillators [article]

Carlos Navarrete-Benlloch
2015 arXiv   pre-print
oscillators, the quantization of the electromagnetic field in an open optical cavity and the detection of its output light, as well as the derivation of the basic model and known properties of OPOs.  ...  of three basic phenomena: bifurcation squeezing, spontaneous symmetry breaking, and pump clamping, which are introduced through simple, yet realistic examples.  ...  , say Σ, which are used to evaluate stochastic averages.  ... 
arXiv:1504.05917v1 fatcat:fjozgnesx5ctfp6cm7k3oo36cq

2021 Index IEEE Transactions on Instrumentation and Measurement Vol. 70

2021 IEEE Transactions on Instrumentation and Measurement  
The primary entry includes the coauthors' names, the title of the paper or other item, and its location, specified by the publication abbreviation, year, and article number.  ...  Article numbers are based on specified topic areas and corresponding codes associated with the publication.  ...  ., +, TIM 2021 2004807 Characterization of Cryogenic Material Properties of 3-D-Printed Supercon-ducting Niobium Using a 3-D Lumped Element Microwave Cavity.  ... 
doi:10.1109/tim.2022.3156705 fatcat:dmqderzenrcopoyipv3v4vh4ry

Latent variable regression and applications to planetary seismic instrumentation

Alexander Edward Stott, William Pike, Danilo Mandic, Engineering And Physical Sciences Research Council
The standard PLS algorithm is further generalised for complex-, quaternion- and tensor-valued data.  ...  The implementation of algorithms for the alignment, calibration and post-processing of the data then enabled a definitive self-noise estimate, validated from data acquired in ultra-quiet, deep-space environment  ...  This calculates an autoregressive average of the sorted self-noise rPSDs obtained from the windows in the STFT and so provides a Welch type averaging without injecting noise from transient features.  ... 
doi:10.25560/79746 fatcat:vhz66sbgy5h6fazki2smo7qjre

Probabilistic Character Motion Synthesis using a Hierarchical Deep Latent Variable Model [article]

Saeed Ghorbani, Calden Wloka, Ali Etemad, Marcus A. Brubaker, Nikolaus F. Troje
2020 pre-print
We use two novel quantitative protocols and human qualitative assessment to demonstrate the ability of our model to generate convincing and diverse periodic and non-periodic motion sequences without the  ...  We present a probabilistic framework to generate character animations based on weak control signals, such that the synthesized motions are realistic while retaining the stochastic nature of human movement  ...  Probabilistic Approaches: Another way of avoiding converging to the mean pose is to model the intrinsic uncertainty of motion using probabilistic schemes.  ... 
doi:10.1111/cgf.14116 arXiv:2010.09950v1 fatcat:fl5iwd5mujhptl3vocutsw3owy

Machine learning for medical image reconstruction and synthesis

Benjamin Hou, Bernhard Kainz
This thesis explores both applications of reconstruction and synthesis in medical imaging using deep learning.  ...  Deep learning models are provided with a large cohort of carefully curated image and target pairs, known as a dataset.  ...  It is also undesirable to use two separates L2-norms on SO(3) and R 3 since SE(3) is not a direct product, and SO(3) itself is non-linear: this can be observed visually with quaternions, e.g., the Euclidean  ... 
doi:10.25560/85545 fatcat:cxqsr2g6mzfknczjzf3l66kxua


2001 Series on Knots and Everything  
I think we need consistency here and so deny randomness in favor of parsimony."  ...  So far as I can see, this would not affect the running of the main program, this change might require a little care, and perhaps some change in the coding when we turn below to the extraction of the hierarchy  ...  Tke system of theorem 2 has an injection into V,jZi, where V, is the vector space of r dimenswns, and 7t? is the field of two elements.  ... 
doi:10.1142/9789812810090_0004 fatcat:nuq33c4ptfd3la7a2lbm3bhpcm

Sensors and Sensor Fusion Methodologies for Indoor Odometry: A Review

Mengshen Yang, Xu Sun, Fuhua Jia, Adam Rushworth, Xin Dong, Sheng Zhang, Zaojun Fang, Guilin Yang, Bingjian Liu
2022 Polymers  
Furthermore, analysis and discussion of the algorithms and the fusion frameworks for pose estimation and odometry with these sensors are performed.  ...  and cameras, as well as applications of polymers in these sensors, for indoor odometry.  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/polym14102019 pmid:35631899 fatcat:nx4abgwuizbubgc376fxtpcqla

New Foundation in the Sciences: Physics without Sweeping Infinities under the Rug [article]

Victor Christianto, Florentin Smarandache, Robert Neil Boyd
2020 Figshare  
For instance, a quote from Richard Feynman goes as follows: "What the three Nobel Prize winners did, in the words of Feynman, was "to get rid of the infinities in the calculations.  ...  I must say that I am very dissatisfied with the situation, because this so-called "good theory" does involve neglecting infinities which appear in its equations, neglecting them in an arbitrary way.  ...  and cosmology phenomena.  ... 
doi:10.6084/m9.figshare.12387260 fatcat:6qqvy3zxrfgebm6ctt5jkakqz4

Computational Creativity

Rania A. Hodhod, Brian S. Magerko
2014 International Journal of Cognitive Informatics and Natural Intelligence  
Each of the show and tell submissions were vetted by the senior programme committee.  ...  During this period, the symposia and workshops have acted as a focus for an active research community, and have included: The IJWCC series resulted from two previous streams of symposia and workshops associated  ...  Acknowledgements This research supported by grants form the US National Science Foundation, grant numbers CNS-0745390 and SBE-0915482.  ... 
doi:10.4018/ijcini.2014040101 fatcat:t75r5mrudzckfm3cjskssgadma
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