###### deterministic and probabilistic

- Intake estimates of naturally occurring phytosterols using deterministic and probabilistic methods in a representative Irish population. (exponent.com)

###### Bayesian

- We derive novel solvers, both Gaussian and non-Gaussian, from the Bayesian state estimation problem posed in this paper and compare them with other probabilistic solvers in illustrative experiments. (mpg.de)
- Analytic and numerical examples show that using a classical non-probabilistic solver with inadequate discretisation when performing inference can lead to inappropriate and misleading posterior concentration in a Bayesian setting. (springer.com)
- Bayesian non-parametrics and the probabilistic approach to modelling. (biomedsearch.com)
- The probabilistic approach is synonymous with Bayesian modelling, which simply uses the rules of probability theory in order to make predictions, compare alternative models, and learn model parameters and structure from data. (biomedsearch.com)
- This article provides an overview of probabilistic modelling and an accessible survey of some of the main tools in Bayesian non-parametrics. (biomedsearch.com)
- The article is in part an historical review and in part a tutorial, reviewing the probabilistic Bayesian approach to understanding perception and how it may be shaped by context, and also reviewing ideas about how such probabilistic computations may be carried out in neural networks, focusing on the role of context in interactive neural networks, in which both bottom-up and top-down signals affect the interpretation of sensory inputs. (frontiersin.org)
- It is pointed out that connectionist units that use the logistic or softmax activation functions can exactly compute Bayesian posterior probabilities when the bias terms and connection weights affecting such units are set to the logarithms of appropriate probabilistic quantities. (frontiersin.org)
- The models mentioned above were all either explicitly probabilistic models or could be linked easily with probabilistic, Bayesian computations. (frontiersin.org)
- On the one hand, Pearl (1982) offered a systematic Baysian framework that unified the earlier models into an general algorithm (subject to some limitations) for probabilistic Bayesian inference across multiple mutually interdependent levels of interpretation (feature, letter, word, syntactic/semantic interpretation). (frontiersin.org)
- On the other hand, Rumelhart and I diverged from the path of probabilistic Bayesian models, proposing a model of context effects in letter perception ( McClelland and Rumelhart, 1981 ) that did not refer explicitly to probabilistic Bayesian ideas, drawing inspiration, instead, from models of neural activation ( Grossberg, 1978 ). (frontiersin.org)
- The Bayes model of visual attention, inherited from the Bayesian sensor fusion characteristic, naturally accommodates multi-modal information during attention selection. (uwaterloo.ca)

###### uncertainty

- Probabilistic biomarkers naturally support the interpretation of decisions and evaluation of uncertainty associated with them. (springer.com)
- A recently-introduced class of probabilistic (uncertainty-aware) solvers for ordinary differential equations (ODEs) applies Gaussian (Kalman) filtering to initial value problems. (mpg.de)
- Naturally occurring variances (Aleatory uncertainty) and Event based probabilities (Epistemic uncertainty). (typepad.com)
- The conventional approach to representing uncertainty in physical aspects of climate change is probabilistic, based on ensembles of climate model simulations. (springer.com)
- When statistically analysing models based on differential equations describing physical, or other naturally occurring, phenomena, it can be important to explicitly account for the uncertainty introduced by the numerical method. (springer.com)
- The probabilistic solver may then be sampled repeatedly to interrogate the uncertainty in the solution. (springer.com)
- In contrast, the probabilistic solver reveals the structure of uncertainty in the solution, naturally limiting posterior concentration as appropriate. (springer.com)
- The probabilistic approach to modelling uses probability theory to express all aspects of uncertainty in the model. (biomedsearch.com)
- Because uncertainty and imprecision can be built very naturally into the models (indeed, they are necessary), it becomes easier to make data-driven probabilistic statements about toxicological risk. (nc3rs.org.uk)

###### solvers

- Furthermore, we demonstrate the value of these probabilistic solvers in statistical inference settings. (springer.com)

###### explicitly

- Probabilistic and neural network models are explicitly linked to the concept of a probabilistic generative model that describes the relationship between the underlying target of perception (e.g., the word intended by a speaker or other source of sensory stimuli) and the sensory input that reaches the perceiver for use in inferring the underlying target. (frontiersin.org)

###### approaches

- As the scientific and policy discussion shifts from whether anthropogenic climate change is real to the evaluation of potential regional impacts and response options, the limitations of these probabilistic approaches to the physical aspects of climate change are becoming increasingly apparent (Kennel et al. (springer.com)
- With increasing high-throughput of standardized immunogenetics data, similar probabilistic approaches will improve understanding of processes so far only characterized by the "output" of standardized tools. (biomedcentral.com)
- The clusters of vehicles that naturally form in VANET are typically "ephemeral" and tend to be a source of network congestion that penalizes the performance of "pure" probabilistic approaches. (springer.com)

###### outputs

- By using trimming of rearranged TR genes as a benchmark, we show that a probabilistic approach, applied to IMGT ® standardized tool "outputs" opens the way to plausible hypotheses on the events involved in the "true trimming process" and eventually to an exact quantification of trimming itself. (biomedcentral.com)
- For differential diagnosis, we applied a novel multi-class predictor, introducing probabilistic outputs. (biomedcentral.com)
- The probabilistic outputs of the predictor offer more detailed information for each sample, which enables visualization of each sample in low-dimensional classification spaces. (biomedcentral.com)

###### inference

- We show that by applying the SLI transformation as a pre-pass, we can improve the efficiency of probabilistic inference, not only in our own inference tool R2, but also in other systems for performing inference such as Church and Infer.NET. (microsoft.com)
- Adopting a probabilistic approach leads naturally to the expectation of suppression effects in conditional inference, which we modelled, using a simple contingency table approach to the meaning of conditional statements. (retzepti.ru)

###### novel

- The purpose of this paper is to address these issues by the construction and rigorous analysis of novel probabilistic integration methods for both ordinary and partial differential equations. (springer.com)
- Here, PET with the radioligand [ 11 C]-(+)-PHNO was used to quantify individual differences in putative D 3 receptor availability in rodents trained on a novel three-choice spatial acquisition and reversal-learning task with probabilistic reinforcement. (jneurosci.org)
- By combining PET imaging with the D 3 -preferring radioligand [ 11 C]-(+)-PHNO, pharmacology, a novel three-choice probabilistic discrimination and reversal task and computational modeling of behavior in rats, we report that naturally occurring variation in [ 11 C]-(+)-PHNO receptor availability relates to specific aspects of flexible decision making. (jneurosci.org)
- In this chapter, we present cluster-based irresponsible forwarding (CIF), a novel broadcast multihop forwarding protocol, that integrates the recently proposed IF probabilistic forwarding approach with a loosely structured clustered architecture. (springer.com)

###### interpretation

- 2016 ). Climate models have structural errors, many of which are shared, which challenges a probabilistic interpretation of multi-model ensembles (Knutti et al. (springer.com)

###### numerical

- We formulate probabilistic numerical approximations to solutions of ordinary differential equations (ODEs) as problems in Gaussian process (GP) regression with non-linear measurement functions. (mpg.de)

###### neural

- Humplik J, Tkacik G. Probabilistic models for neural populations that naturally capture global coupling and criticality. (ist.ac.at)

###### populations

- Biological populations are naturally organized into lineages of reproducing particles. (rice.edu)

###### processes

- We obtain probabilistic biomarkers via Gaussian Processes, which also offer flexible means to accomplish Multiple Kernel Learning. (springer.com)
- There is naturally occurring variability from uncontrolled processes. (typepad.com)
- The naturally occurring variability comes from uncontrolled and uncontrollable processes. (typepad.com)
- Multitype branching processes are a probabilistic description of such systems. (rice.edu)

###### models

- Probabilistic programs use familiar notation of programming languages to specify probabilistic models. (microsoft.com)
- This simple and elegant framework is most powerful when coupled with flexible probabilistic models. (biomedsearch.com)
- Bod'Ová K, Mitchell G, Harpaz R, Schneidman E, Tkacik G. Probabilistic models of individual and collective animal behavior. (ist.ac.at)

###### expectation

- Suppose we are interested in estimating the distribution or expectation of a return expression r of a probabilistic program P. We are interested in slicing the probabilistic program P and obtain a simpler program SLI(P) which retains only those parts of P that are relevant to estimating r, and elides those parts P that are not relevant to estimating r. (microsoft.com)

###### probability

- A probabilistic approach based on an analysis of the standardized tool "output" is proposed to infer the probability distribution of the "true trimmming process" and to provide plausible biological hypotheses explaining this process. (biomedcentral.com)
- Legal Probabilism (LP) is the view that the legal notion of probability is to be governed by the mathematical principles of standard probability theory, and that the decision process in juridical fact-finding is to be modeled by means of probabilistic tools. (springer.com)

###### model

- This strategy is based on the encoding of the chemical shift information in a probabilistic model in Markov chain Monte Carlo simulations. (jove.com)
- It is shown how a new version of the IA model called the multinomial interactive activation (MIA) model can sample correctly from the joint posterior of a proposed generative model for perception of letters in words, indicating that interactive processing is fully consistent with principled probabilistic computation. (frontiersin.org)
- Probabilistic logic programming can be used to model domains with complex and uncertain relationships among entities. (springer.com)
- We investigate a data-driven approach to the analysis and transcription of polyphonic music, using a probabilistic model which is able to find sparse linear decompositions of a sequence of short-term Fourier spectra. (mendeley.com)
- In this study, we developed a new multi-class predictor based on a probabilistic model. (biomedcentral.com)

###### estimate

- You have to estimate the probabilistic occurrence of the epistemic uncertainties that will impact that date and provide a Plan B an intervention, or some corrective action to protect that date. (typepad.com)

###### algorithm

- It sees the problem of learning the structure of a probabilistic logic program as a multi-armed bandit problem, relying on the Monte-Carlo tree search UCT algorithm that combines the precision of tree search with the generality of random sampling. (springer.com)

###### methods

- The debate about LP started in the sixties 2 and continued for quite a few years, 3 leading to a careful level of acceptance of some probabilistic methods in court of law. (springer.com)

###### analysis

- As a consequence, naturally occurring duplicate ditags are also removed from the analysis leading to an error of measurement. (biomedcentral.com)
- Through an accurate simulation analysis carried out in IEEE 802.11 networks, we assess the validity of this broadcast technique, showing a significant reliability improvement with respect to a more traditional pure probabilistic forwarding. (springer.com)

###### results

- We show that usual notions of program slicing, which traverse control and data dependencies backward from the return expression r, are unsatisfactory for probabilistic programs, since it produces incorrect results on some programs and inefficient results on others. (microsoft.com)

###### statements

- Our key insight is that in addition to the usual notions of control dependence and data dependence that are used to slice non-probabilistic programs, a new kind of dependence called observe dependence arises naturally due to observe statements in probabilistic programs. (microsoft.com)

###### data

- We propose a new definition of SLI(P) which is both correct and efficient for probabilistic programs, by including observe dependence in addition to control and data dependences for computing slices. (microsoft.com)

###### systems

- Quantum annealing degrades gracefully to Need new programming style that is errors intrinsically probabilistic and tolerant to errors Power Expect 25-100MW systems. (slideshare.net)

###### programs

- 2007 ). Various algorithms for learning the parameters of probabilistic logic programs under the distribution semantics have been proposed, such as PRISM (Sato and Kameya 2001 ), LFI-ProbLog (Gutmann et al. (springer.com)

###### terms

- It is one thing to say that the standards of juridical proof are to be explicated in probabilistic terms, it is another to provide such an explication. (springer.com)

###### subject

- Although the forcing scenarios are understood to be non-probabilistic, being subject to human actions, it is standard practice to represent the physical aspects of climate change probabilistically (Swart et al. (springer.com)

###### Architecture

- In other words, CIF does not impose a clustered architecture but, rather, exploits the naturally ephemeral clustered architecture of VANETs. (springer.com)

###### forward

- So, NPAS completely abandons the use of probabilistic tools in the explication it puts forward. (springer.com)

###### original

- On the contrary, while the error introduced in original SAGE by removal of naturally occurring duplicate ditags is insignificant, it leads to an error of up to 3 fold in LongSAGE. (biomedcentral.com)