1
|
Köksal Ersöz E, Chossat P, Krupa M, Lavigne F. Dynamic branching in a neural network model for probabilistic prediction of sequences. J Comput Neurosci 2022; 50:537-557. [PMID: 35948839 DOI: 10.1007/s10827-022-00830-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/16/2022] [Revised: 07/11/2022] [Accepted: 07/13/2022] [Indexed: 10/15/2022]
Abstract
An important function of the brain is to predict which stimulus is likely to occur based on the perceived cues. The present research studied the branching behavior of a computational network model of populations of excitatory and inhibitory neurons, both analytically and through simulations. Results show how synaptic efficacy, retroactive inhibition and short-term synaptic depression determine the dynamics of selection between different branches predicting sequences of stimuli of different probabilities. Further results show that changes in the probability of the different predictions depend on variations of neuronal gain. Such variations allow the network to optimize the probability of its predictions to changing probabilities of the sequences without changing synaptic efficacy.
Collapse
Affiliation(s)
- Elif Köksal Ersöz
- Univ Rennes, INSERM, LTSI - UMR 1099, Campus Beaulieu, Rennes, F-35000, France. .,Project Team MathNeuro, INRIA-CNRS-UNS, 2004 route des Lucioles-BP 93, Sophia Antipolis, 06902, France.
| | - Pascal Chossat
- Project Team MathNeuro, INRIA-CNRS-UNS, 2004 route des Lucioles-BP 93, Sophia Antipolis, 06902, France.,Université Côte d'Azur, Laboratoire Jean-Alexandre Dieudonné, Campus Valrose, Nice, 06300, France
| | - Martin Krupa
- Project Team MathNeuro, INRIA-CNRS-UNS, 2004 route des Lucioles-BP 93, Sophia Antipolis, 06902, France.,Université Côte d'Azur, Laboratoire Jean-Alexandre Dieudonné, Campus Valrose, Nice, 06300, France
| | - Frédéric Lavigne
- Université Côte d'Azur, CNRS-BCL, Campus Saint Jean d'Angely, Nice, 06300, France
| |
Collapse
|
2
|
Lazartigues L, Mathy F, Lavigne F. Statistical learning of unbalanced exclusive-or temporal sequences in humans. PLoS One 2021; 16:e0246826. [PMID: 33592012 PMCID: PMC7886115 DOI: 10.1371/journal.pone.0246826] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/03/2020] [Accepted: 01/27/2021] [Indexed: 11/26/2022] Open
Abstract
A pervasive issue in statistical learning has been to determine the parameters of regularity extraction. Our hypothesis was that the extraction of transitional probabilities can prevail over frequency if the task involves prediction. Participants were exposed to four repeated sequences of three stimuli (XYZ) with each stimulus corresponding to the position of a red dot on a touch screen that participants were required to touch sequentially. The temporal and spatial structure of the positions corresponded to a serial version of the exclusive-or (XOR) that allowed testing of the respective effect of frequency and first- and second-order transitional probabilities. The XOR allowed the first-order transitional probability to vary while being not completely related to frequency and to vary while the second-order transitional probability was fixed (p(Z|X, Y) = 1). The findings show that first-order transitional probability prevails over frequency to predict the second stimulus from the first and that it also influences the prediction of the third item despite the presence of second-order transitional probability that could have offered a certain prediction of the third item. These results are particularly informative in light of statistical learning models.
Collapse
Affiliation(s)
- Laura Lazartigues
- Department of Psychology, Université Côte d’Azur, CNRS, BCL, Nice, France
- * E-mail:
| | - Fabien Mathy
- Department of Psychology, Université Côte d’Azur, CNRS, BCL, Nice, France
| | - Frédéric Lavigne
- Department of Psychology, Université Côte d’Azur, CNRS, BCL, Nice, France
| |
Collapse
|
3
|
Meaning before grammar: A review of ERP experiments on the neurodevelopmental origins of semantic processing. Psychon Bull Rev 2020; 27:441-464. [PMID: 31950458 DOI: 10.3758/s13423-019-01677-8] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Abstract
According to traditional linguistic theories, the construction of complex meanings relies firmly on syntactic structure-building operations. Recently, however, new models have been proposed in which semantics is viewed as being partly autonomous from syntax. In this paper, we discuss some of the developmental implications of syntax-based and autonomous models of semantics. We review event-related brain potential (ERP) studies on semantic processing in infants and toddlers, focusing on experiments reporting modulations of N400 amplitudes using visual or auditory stimuli and different temporal structures of trials. Our review suggests that infants can relate or integrate semantic information from temporally overlapping stimuli across modalities by 6 months of age. The ability to relate or integrate semantic information over time, within and across modalities, emerges by 9 months. The capacity to relate or integrate information from spoken words in sequences and sentences appears by 18 months. We also review behavioral and ERP studies showing that grammatical and syntactic processing skills develop only later, between 18 and 32 months. These results provide preliminary evidence for the availability of some semantic processes prior to the full developmental emergence of syntax: non-syntactic meaning-building operations are available to infants, albeit in restricted ways, months before the abstract machinery of grammar is in place. We discuss this hypothesis in light of research on early language acquisition and human brain development.
Collapse
|
4
|
Aguilar C, Chossat P, Krupa M, Lavigne F. Latching dynamics in neural networks with synaptic depression. PLoS One 2017; 12:e0183710. [PMID: 28846727 PMCID: PMC5573234 DOI: 10.1371/journal.pone.0183710] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/28/2017] [Accepted: 08/09/2017] [Indexed: 12/02/2022] Open
Abstract
Prediction is the ability of the brain to quickly activate a target concept in response to a related stimulus (prime). Experiments point to the existence of an overlap between the populations of the neurons coding for different stimuli, and other experiments show that prime-target relations arise in the process of long term memory formation. The classical modelling paradigm is that long term memories correspond to stable steady states of a Hopfield network with Hebbian connectivity. Experiments show that short term synaptic depression plays an important role in the processing of memories. This leads naturally to a computational model of priming, called latching dynamics; a stable state (prime) can become unstable and the system may converge to another transiently stable steady state (target). Hopfield network models of latching dynamics have been studied by means of numerical simulation, however the conditions for the existence of this dynamics have not been elucidated. In this work we use a combination of analytic and numerical approaches to confirm that latching dynamics can exist in the context of a symmetric Hebbian learning rule, however lacks robustness and imposes a number of biologically unrealistic restrictions on the model. In particular our work shows that the symmetry of the Hebbian rule is not an obstruction to the existence of latching dynamics, however fine tuning of the parameters of the model is needed.
Collapse
Affiliation(s)
- Carlos Aguilar
- Bases, Corpus, Langage, UMR 7320 CNRS, Université de Nice - Sophia Antipolis, 06357 Nice, France
| | - Pascal Chossat
- Laboratoire J.A.Dieudonné UMR CNRS-UNS 7351, Université de Nice - Sophia Antipolis, 06108 Nice, France
- MathNeuro team, Inria Sophia Antipolis, 06902 Valbonne-Sophia Antipolis, France
| | - Martin Krupa
- Laboratoire J.A.Dieudonné UMR CNRS-UNS 7351, Université de Nice - Sophia Antipolis, 06108 Nice, France
- MathNeuro team, Inria Sophia Antipolis, 06902 Valbonne-Sophia Antipolis, France
- Department of Applied Mathematics, University College Cork, Cork, Ireland
| | - Frédéric Lavigne
- Bases, Corpus, Langage, UMR 7320 CNRS, Université de Nice - Sophia Antipolis, 06357 Nice, France
| |
Collapse
|
5
|
Lavigne F, Longrée D, Mayaffre D, Mellet S. Semantic integration by pattern priming: experiment and cortical network model. Cogn Neurodyn 2016; 10:513-533. [PMID: 27891200 PMCID: PMC5106460 DOI: 10.1007/s11571-016-9410-4] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/13/2016] [Revised: 07/18/2016] [Accepted: 09/06/2016] [Indexed: 01/09/2023] Open
Abstract
Neural network models describe semantic priming effects by way of mechanisms of activation of neurons coding for words that rely strongly on synaptic efficacies between pairs of neurons. Biologically inspired Hebbian learning defines efficacy values as a function of the activity of pre- and post-synaptic neurons only. It generates only pair associations between words in the semantic network. However, the statistical analysis of large text databases points to the frequent occurrence not only of pairs of words (e.g., "the way") but also of patterns of more than two words (e.g., "by the way"). The learning of these frequent patterns of words is not reducible to associations between pairs of words but must take into account the higher level of coding of three-word patterns. The processing and learning of pattern of words challenges classical Hebbian learning algorithms used in biologically inspired models of priming. The aim of the present study was to test the effects of patterns on the semantic processing of words and to investigate how an inter-synaptic learning algorithm succeeds at reproducing the experimental data. The experiment manipulates the frequency of occurrence of patterns of three words in a multiple-paradigm protocol. Results show for the first time that target words benefit more priming when embedded in a pattern with the two primes than when only associated with each prime in pairs. A biologically inspired inter-synaptic learning algorithm is tested that potentiates synapses as a function of the activation of more than two pre- and post-synaptic neurons. Simulations show that the network can learn patterns of three words to reproduce the experimental results.
Collapse
Affiliation(s)
- Frédéric Lavigne
- BCL, UMR 7320 CNRS et Université de Nice-Sophia Antipolis, Campus Saint Jean d’Angely - SJA3/MSHS Sud-Est/BCL, 24 Avenue des diables bleus, 06357 Nice Cedex 4, France
| | | | | | | |
Collapse
|
6
|
Lavigne F, Avnaïm F, Dumercy L. Inter-synaptic learning of combination rules in a cortical network model. Front Psychol 2014; 5:842. [PMID: 25221529 PMCID: PMC4148068 DOI: 10.3389/fpsyg.2014.00842] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/08/2014] [Accepted: 07/15/2014] [Indexed: 11/28/2022] Open
Abstract
Selecting responses in working memory while processing combinations of stimuli depends strongly on their relations stored in long-term memory. However, the learning of XOR-like combinations of stimuli and responses according to complex rules raises the issue of the non-linear separability of the responses within the space of stimuli. One proposed solution is to add neurons that perform a stage of non-linear processing between the stimuli and responses, at the cost of increasing the network size. Based on the non-linear integration of synaptic inputs within dendritic compartments, we propose here an inter-synaptic (IS) learning algorithm that determines the probability of potentiating/depressing each synapse as a function of the co-activity of the other synapses within the same dendrite. The IS learning is effective with random connectivity and without either a priori wiring or additional neurons. Our results show that IS learning generates efficacy values that are sufficient for the processing of XOR-like combinations, on the basis of the sole correlational structure of the stimuli and responses. We analyze the types of dendrites involved in terms of the number of synapses from pre-synaptic neurons coding for the stimuli and responses. The synaptic efficacy values obtained show that different dendrites specialize in the detection of different combinations of stimuli. The resulting behavior of the cortical network model is analyzed as a function of inter-synaptic vs. Hebbian learning. Combinatorial priming effects show that the retrospective activity of neurons coding for the stimuli trigger XOR-like combination-selective prospective activity of neurons coding for the expected response. The synergistic effects of inter-synaptic learning and of mixed-coding neurons are simulated. The results show that, although each mechanism is sufficient by itself, their combined effects improve the performance of the network.
Collapse
Affiliation(s)
- Frédéric Lavigne
- UMR 7320 CNRS, BCL, Université Nice Sophia AntipolisNice, France
| | | | - Laurent Dumercy
- UMR 7320 CNRS, BCL, Université Nice Sophia AntipolisNice, France
| |
Collapse
|
7
|
Signal integration on the dendrites of a pyramidal neuron model. Cogn Neurodyn 2014; 8:81-5. [PMID: 24465288 DOI: 10.1007/s11571-013-9252-2] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/07/2012] [Revised: 03/18/2013] [Accepted: 03/28/2013] [Indexed: 10/27/2022] Open
Abstract
This paper studied the synaptic and dendritic integration with different spatial distributions of synapses on the dendrites of a biophysically-detailed layer 5 pyramidal neuron model. It has been observed that temporally synchronous and spatially clustered synaptic inputs make dendrites perform a highly nonlinear integration. The effect of clustering degree of synaptic distribution on neuronal responsiveness is investigated by changing the number of top apical dendrites where active synapses are allocated. The neuron shows maximum responsiveness to synaptic inputs which have an intermediate clustering degree of spatial distribution, indicating complex interactions among dendrites with the existence of nonlinear synaptic and dendritic integrations.
Collapse
|
8
|
Early dynamics of the semantic priming shift. Adv Cogn Psychol 2013; 9:1-14. [PMID: 23717346 PMCID: PMC3664541 DOI: 10.2478/v10053-008-0126-9] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/24/2012] [Accepted: 11/12/2012] [Indexed: 11/21/2022] Open
Abstract
Semantic processing of sequences of words requires the cognitive system to keep
several word meanings simultaneously activated in working memory with limited
capacity. The real- time updating of the sequence of word meanings relies on
dynamic changes in the associates to the words that are activated. Protocols
involving two sequential primes report a semantic priming shift from larger
priming of associates to the first prime to larger priming of associates to the
second prime, in a range of long SOAs (stimulus-onset asynchronies) between the
second prime and the target. However, the possibility for an early semantic
priming shift is still to be tested, and its dynamics as a function of
association strength remain unknown. Three multiple priming experiments are
proposed that cross-manipulate association strength between each of two
successive primes and a target, for different values of short SOAs and prime
durations. Results show an early priming shift ranging from priming of
associates to the first prime only to priming of strong associates to the first
prime and all of the associates to the second prime. We investigated the neural
basis of the early priming shift by using a network model of spike frequency
adaptive cortical neurons (e.g., Deco &
Rolls, 2005), able to code different association strengths between
the primes and the target. The cortical network model provides a description of
the early dynamics of the priming shift in terms of pro-active and retro-active
interferences within populations of excitatory neurons regulated by fast and
unselective inhibitory feedback.
Collapse
|