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Turing Video-based Cognitive Tests to Handle Entangled Concepts 基于图灵视频的认知测试,处理纠缠不清的概念
Pub Date : 2024-09-13 DOI: arxiv-2409.08868
Diederik Aerts, Roberto Leporini, Sandro Sozzo
We have proved in both human-based and computer-based tests that naturalconcepts generally `entangle' when they combine to form complex sentences,violating the rules of classical compositional semantics. In this article, wepresent the results of an innovative video-based cognitive test on a specificconceptual combination, which significantly violates theClauser--Horne--Shimony--Holt version of Bell's inequalities (`CHSHinequality'). We also show that collected data can be faithfully modelledwithin a quantum-theoretic framework elaborated by ourselves and a `strong formof entanglement' occurs between the component concepts. While the video-basedtest confirms previous empirical results on entanglement in human cognition,our ground-breaking empirical approach surpasses language barriers andeliminates the need for prior knowledge, enabling universal accessibility.Finally, this transformative methodology allows one to unravel the underlyingconnections that drive our perception of reality. As a matter of fact, weprovide a novel explanation for the appearance of entanglement in both physicsand cognitive realms.
我们已经在基于人类和计算机的测试中证明,自然概念在组合成复杂句子时通常会 "纠缠 "在一起,这违反了经典构成语义学的规则。在这篇文章中,我们展示了一个创新的基于视频的认知测试结果,该测试针对的是一个特定的概念组合,它严重违反了贝尔不等式("CHSHinequality")的克劳泽--霍恩--希莫尼--霍尔特(Clauser--Horne--Shimony--Holt)版本。我们还表明,收集到的数据可以在我们自己制定的量子理论框架内忠实地建模,并且在各组成概念之间存在 "强纠缠形式"。基于视频的测试证实了之前关于人类认知中纠缠的实证结果,而我们开创性的实证方法超越了语言障碍,消除了对先验知识的需求,实现了普遍可及性。事实上,我们为物理和认知领域出现的纠缠提供了新的解释。
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引用次数: 0
Exploring Biological Neuronal Correlations with Quantum Generative Models 用量子生成模型探索生物神经元相关性
Pub Date : 2024-09-13 DOI: arxiv-2409.09125
Vinicius Hernandes, Eliska Greplova
Understanding of how biological neural networks process information is one ofthe biggest open scientific questions of our time. Advances in machine learningand artificial neural networks have enabled the modeling of neuronal behavior,but classical models often require a large number of parameters, complicatinginterpretability. Quantum computing offers an alternative approach throughquantum machine learning, which can achieve efficient training with fewerparameters. In this work, we introduce a quantum generative model framework forgenerating synthetic data that captures the spatial and temporal correlationsof biological neuronal activity. Our model demonstrates the ability to achievereliable outcomes with fewer trainable parameters compared to classicalmethods. These findings highlight the potential of quantum generative models toprovide new tools for modeling and understanding neuronal behavior, offering apromising avenue for future research in neuroscience.
了解生物神经网络如何处理信息是当代最大的科学难题之一。机器学习和人工神经网络的进步使得神经元行为建模成为可能,但经典模型往往需要大量参数,从而使可解释性变得复杂。量子计算通过量子机器学习提供了另一种方法,它可以用更少的参数实现高效训练。在这项工作中,我们引入了一个量子生成模型框架,用于生成合成数据,捕捉生物神经元活动的空间和时间相关性。与经典方法相比,我们的模型能够以较少的可训练参数获得可靠的结果。这些发现凸显了量子生成模型为神经元行为建模和理解提供新工具的潜力,为神经科学的未来研究提供了一条光明大道。
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引用次数: 0
Exploring Action-Centric Representations Through the Lens of Rate-Distortion Theory 从速率失真理论的角度探索以动作为中心的表象
Pub Date : 2024-09-13 DOI: arxiv-2409.08892
Miguel de Llanza Varona, Christopher L. Buckley, Beren Millidge
Organisms have to keep track of the information in the environment that isrelevant for adaptive behaviour. Transmitting information in an economical andefficient way becomes crucial for limited-resourced agents living inhigh-dimensional environments. The efficient coding hypothesis claims thatorganisms seek to maximize the information about the sensory input in anefficient manner. Under Bayesian inference, this means that the role of thebrain is to efficiently allocate resources in order to make predictions aboutthe hidden states that cause sensory data. However, neither of those frameworksaccounts for how that information is exploited downstream, leaving aside theaction-oriented role of the perceptual system. Rate-distortion theory, whichdefines optimal lossy compression under constraints, has gained attention as aformal framework to explore goal-oriented efficient coding. In this work, weexplore action-centric representations in the context of rate-distortiontheory. We also provide a mathematical definition of abstractions and we arguethat, as a summary of the relevant details, they can be used to fix the contentof action-centric representations. We model action-centric representationsusing VAEs and we find that such representations i) are efficient lossycompressions of the data; ii) capture the task-dependent invariances necessaryto achieve successful behaviour; and iii) are not in service of reconstructingthe data. Thus, we conclude that full reconstruction of the data is rarelyneeded to achieve optimal behaviour, consistent with a teleological approach toperception.
生物必须跟踪环境中与适应性行为相关的信息。对于生活在高维环境中的资源有限的生物来说,以经济高效的方式传递信息变得至关重要。高效编码假说认为,生物寻求以高效的方式最大限度地获取感官输入信息。在贝叶斯推论下,这意味着大脑的作用是有效地分配资源,以便对导致感官数据的隐藏状态做出预测。然而,抛开知觉系统以行动为导向的作用不谈,这两个框架都没有说明这些信息是如何被下游利用的。速率失真理论定义了约束条件下的最优有损压缩,作为探索以目标为导向的高效编码的一种形式框架,它已经引起了人们的关注。在这项研究中,我们以速率失真理论为背景,探讨了以动作为中心的表征。我们还提供了抽象的数学定义,并认为作为相关细节的总结,抽象可用于固定以动作为中心的表示的内容。我们使用 VAE 对以动作为中心的表征进行建模,发现这种表征 i) 是对数据的高效有损压缩;ii) 捕获了实现成功行为所必需的与任务相关的不变性;iii) 并不有助于重建数据。因此,我们得出结论,要实现最佳行为,很少需要完全重建数据,这与目的论感知方法是一致的。
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引用次数: 0
Yes, Prime Minister, question order does matter -- and it's certainly not classical! But is it quantum? 是的,首相,提问顺序确实很重要,而且它肯定不是经典的!但它是量子的吗?
Pub Date : 2024-09-13 DOI: arxiv-2409.08930
Dorje C. Brody
Response to a poll can be manipulated by means of a series of leadingquestions. We show that such phenomena cannot be explained by use of classicalprobability theory, whereas quantum probability theory admits a possibility ofoffering an explanation. Admissible transformation rules in quantumprobability, however, do impose some constraints on the modelling of cognitivebehaviour, which are highlighted here. Focusing on a recent poll conducted byIpsos on a set of questions posed by Sir Humphrey Appleby in an episode of theBritish political satire textit{Yes, Prime Minister}, we show that theresulting data cannot be explained quite so simply using quantum rules,although it seems not impossible.
通过一系列引导性问题,可以操纵对民意调查的回应。我们证明,使用经典概率论无法解释这种现象,而量子概率论则有可能提供解释。不过,量子概率论中的可容许变换规则确实对认知行为的建模造成了一些限制,在此重点加以说明。最近,益普索(Ipsos)就英国政治讽刺剧《是的,首相》(textit{Yes, Prime Minister})中汉弗莱-阿普比爵士(Sir Humphrey Appleby)提出的一组问题进行了民意调查,我们以此为重点,说明虽然用量子规则似乎并非不可能,但却无法如此简单地解释得出的数据。
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引用次数: 0
The Neuroscientific Basis of Flow: Learning Progress Guides Task Engagement and Cognitive Control 流动的神经科学基础:学习进度引导任务参与和认知控制
Pub Date : 2024-09-10 DOI: arxiv-2409.06592
Hairong Lu, Dimitri van der Linden, Arnold B. Bakker
People often strive for deep engagement in activities which is usuallyassociated with feelings of flow: a state of full task absorption accompaniedby a sense of control and fulfillment. The intrinsic factors driving suchengagement and facilitating subjective feelings of flow remain unclear.Building on computational theories of intrinsic motivation, this study examineshow learning progress predicts engagement and directs cognitive control.Results showed that task engagement, indicated by feelings of flow anddistractibility, is a function of learning progress. Electroencephalographydata further revealed that learning progress is associated with enhancedproactive preparation (e.g., reduced pre-stimulus contingent negativityvariance and parietal alpha desynchronization) and improved feedback processing(e.g., increased P3b amplitude and parietal alpha desynchronization). Theimpact of learning progress on cognitive control is observed at the task-blockand goal-episode levels, but not at the trial level. This suggests thatlearning progress shapes cognitive control over extended periods as progressaccumulates. These findings highlight the critical role of learning progress insustaining engagement and cognitive control in goal-directed behavior.
人们常常努力深度参与活动,这通常与 "流动感 "有关:一种完全投入任务的状态,伴随着一种控制感和成就感。本研究以内在动机的计算理论为基础,探讨了学习进度如何预测参与度并引导认知控制。结果表明,任务参与度(由流动感和分心感显示)是学习进度的函数。脑电图数据进一步显示,学习进步与主动准备的增强(如刺激前或然负性方差和顶叶α非同步化的降低)和反馈处理的改善(如P3b振幅和顶叶α非同步化的增加)有关。学习进展对认知控制的影响是在任务块和目标情节水平上观察到的,而不是在试验水平上观察到的。这表明,随着学习进度的累积,学习进度会长期影响认知控制。这些发现强调了学习进度在目标定向行为中维持参与和认知控制的关键作用。
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引用次数: 0
Explainable Metrics for the Assessment of Neurodegenerative Diseases through Handwriting Analysis 通过笔迹分析评估神经退行性疾病的可解释指标
Pub Date : 2024-09-10 DOI: arxiv-2409.08303
Thomas Thebaud, Anna Favaro, Casey Chen, Gabrielle Chavez, Laureano Moro-Velazquez, Ankur Butala, Najim Dehak
Motor changes are early signs of neurodegenerative diseases (NDs) such asParkinson's disease (PD) and Alzheimer's disease (AD), but are often difficultto detect, especially in the early stages. In this work, we examine thebehavior of a wide array of explainable metrics extracted from the handwritingsignals of 113 subjects performing multiple tasks on a digital tablet. The aimis to measure their effectiveness in characterizing and assessing multiple NDs,including AD and PD. To this end, task-agnostic and task-specific metrics areextracted from 14 distinct tasks. Subsequently, through statistical analysisand a series of classification experiments, we investigate which metricsprovide greater discriminative power between NDs and healthy controls and amongdifferent NDs. Preliminary results indicate that the various tasks at hand canall be effectively leveraged to distinguish between the considered set of NDs,specifically by measuring the stability, the speed of writing, the time spentnot writing, and the pressure variations between groups from our handcraftedexplainable metrics, which shows p-values lower than 0.0001 for multiple tasks.Using various classification algorithms on the computed metrics, we obtain upto 87% accuracy to discriminate AD and healthy controls (CTL), and up to 69%for PD vs CTL.
运动变化是帕金森病(PD)和阿尔茨海默病(AD)等神经退行性疾病(ND)的早期征兆,但往往难以检测,尤其是在早期阶段。在这项工作中,我们研究了从 113 名受试者在数字平板电脑上执行多项任务时的手写信号中提取的一系列可解释指标的行为。目的是测量这些指标在表征和评估包括注意力缺失症和帕金森病在内的多种非痴呆症方面的有效性。为此,研究人员从 14 项不同的任务中提取了任务诊断指标和任务特定指标。随后,通过统计分析和一系列分类实验,我们研究了哪些指标在NDs和健康对照组之间以及不同NDs之间具有更强的分辨力。初步结果表明,我们可以有效地利用手头的各种任务来区分所考虑的 NDs,特别是通过测量稳定性、书写速度、不书写所花费的时间以及我们手工制作的可解释度量指标中各组之间的压力变化,多个任务的 p 值均低于 0.0001。
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引用次数: 0
Non-exchangeable networks of integrate-and-fire neurons: spatially-extended mean-field limit of the empirical measure 整合-发射神经元的非交换网络:经验测量的空间扩展平均场极限
Pub Date : 2024-09-10 DOI: arxiv-2409.06325
Pierre-Emmanuel Jabin, Valentin Schmutz, Datong Zhou
The dynamics of exchangeable or spatially-structured networks of $N$interacting stochastic neurons can be described by deterministic populationequations in the mean-field limit $Ntoinfty$, when synaptic weights scale as$O(1/N)$. This asymptotic behavior has been proven in several works but ageneral question has remained unanswered: does the $O(1/N)$ scaling of synapticweights, by itself, suffice to guarantee the convergence of network dynamics toa deterministic population equation, even when networks are not assumed to beexchangeable or spatially structured? In this work, we consider networks ofstochastic integrate-and-fire neurons with arbitrary synaptic weightssatisfying only a $O(1/N)$ scaling condition. Borrowing results from the theoryof dense graph limits (graphons), we prove that, as $Ntoinfty$, and up to theextraction of a subsequence, the empirical measure of the neurons' membranepotentials converges to the solution of a spatially-extended mean-field partialdifferential equation (PDE). Our proof requires analytical techniques that gobeyond standard propagation of chaos methods. In particular, we introduce aweak metric that depends on the dense graph limit kernel and we show how theweak convergence of the initial data can be obtained by propagating theregularity of the limit kernel along the dual-backward equation associated withthe spatially-extended mean-field PDE. Overall, this result invites us tore-interpret spatially-extended population equations as universal mean-fieldlimits of networks of neurons with $O(1/N)$ synaptic weight scaling.
当突触权重缩放为 $O(1/N)$时,由 $N$ 相互作用的随机神经元组成的可交换或空间结构网络的动力学可以用均值场极限 $Ntoinfty$ 中的确定性种群方程来描述。这一渐近行为已在一些著作中得到证明,但一个普遍的问题仍未得到解答:即使不假设网络是可交换的或空间结构的,突触权重的 $O(1/N)$ 缩放本身是否足以保证网络动力学收敛于确定性种群方程?在这项工作中,我们考虑了具有任意突触权重的随机积分-发射神经元网络,它们只满足 $O(1/N)$ 的缩放条件。借用密集图极限(graphons)理论的结果,我们证明当 $Ntoinfty$ 时,直到子序列的抽取,神经元膜电位的经验度量会收敛到空间扩展均场偏微分方程(PDE)的解。我们的证明需要超越标准混沌传播方法的分析技术。特别是,我们引入了依赖于密集图极限核的弱度量,并展示了如何通过沿着与空间扩展均值场偏微分方程相关的对偶后向方程传播极限核的奇异性来获得初始数据的弱收敛性。总之,这一结果使我们能够将空间扩展的群体方程重新解释为具有 $O(1/N)$ 突触权重缩放的神经元网络的普遍均场极限。
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引用次数: 0
Predictive Coding with Spiking Neural Networks: a Survey 利用尖峰神经网络进行预测编码:一项调查
Pub Date : 2024-09-09 DOI: arxiv-2409.05386
Antony W. N'dri, William Gebhardt, Céline Teulière, Fleur Zeldenrust, Rajesh P. N. Rao, Jochen Triesch, Alexander Ororbia
In this article, we review a class of neuro-mimetic computational models thatwe place under the label of spiking predictive coding. Specifically, we reviewthe general framework of predictive processing in the context of neurons thatemit discrete action potentials, i.e., spikes. Theoretically, we structure oursurvey around how prediction errors are represented, which results in anorganization of historical neuromorphic generalizations that is centered aroundthree broad classes of approaches: prediction errors in explicit groups oferror neurons, in membrane potentials, and implicit prediction error encoding.Furthermore, we examine some applications of spiking predictive coding thatutilize more energy-efficient, edge-computing hardware platforms. Finally, wehighlight important future directions and challenges in this emerging line ofinquiry in brain-inspired computing. Building on the prior results of work incomputational cognitive neuroscience, machine intelligence, and neuromorphicengineering, we hope that this review of neuromorphic formulations andimplementations of predictive coding will encourage and guide future researchand development in this emerging research area.
在本文中,我们回顾了一类神经模拟计算模型,并将其归类为尖峰预测编码。具体来说,我们回顾了在神经元发出离散动作电位(即尖峰)的背景下预测处理的一般框架。从理论上讲,我们围绕如何表示预测误差展开调查,结果是围绕三大类方法对历史上的神经形态概括进行了整理:显性错误神经元群中的预测误差、膜电位中的预测误差以及隐式预测误差编码。此外,我们还考察了尖峰预测编码的一些应用,这些应用利用了能效更高的边缘计算硬件平台。最后,我们强调了大脑启发计算这一新兴研究领域未来的重要方向和挑战。我们希望这篇关于预测编码的神经形态表述和实现的综述能鼓励和指导这一新兴研究领域的未来研究和发展。
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引用次数: 0
Sparse learning enabled by constraints on connectivity and function 通过对连接性和功能的限制实现稀疏学习
Pub Date : 2024-09-08 DOI: arxiv-2409.04946
Mirza M. Junaid Baig, Armen Stepanyants
Sparse connectivity is a hallmark of the brain and a desired property ofartificial neural networks. It promotes energy efficiency, simplifies training,and enhances the robustness of network function. Thus, a detailed understandingof how to achieve sparsity without jeopardizing network performance isbeneficial for neuroscience, deep learning, and neuromorphic computingapplications. We used an exactly solvable model of associative learning toevaluate the effects of various sparsity-inducing constraints on connectivityand function. We determine the optimal level of sparsity achieved by the $l_0$norm constraint and find that nearly the same efficiency can be obtained byeliminating weak connections. We show that this method of achieving sparsitycan be implemented online, making it compatible with neuroscience and machinelearning applications.
稀疏连接是大脑的标志,也是人工神经网络的理想特性。它能提高能效、简化训练并增强网络功能的鲁棒性。因此,详细了解如何在不影响网络性能的情况下实现稀疏性,对神经科学、深度学习和神经形态计算应用都是有益的。我们利用关联学习的精确可解模型来评估各种稀疏性约束对连接性和功能的影响。我们确定了通过 l_0$norm 约束实现的最佳稀疏程度,并发现通过消除弱连接可以获得几乎相同的效率。我们证明,这种实现稀疏性的方法可以在线实现,使其与神经科学和机器学习应用兼容。
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引用次数: 0
Hybrid Spiking Neural Networks for Low-Power Intra-Cortical Brain-Machine Interfaces 用于低功耗皮层内脑机接口的混合尖峰神经网络
Pub Date : 2024-09-06 DOI: arxiv-2409.04428
Alexandru Vasilache, Jann Krausse, Klaus Knobloch, Juergen Becker
Intra-cortical brain-machine interfaces (iBMIs) have the potential todramatically improve the lives of people with paraplegia by restoring theirability to perform daily activities. However, current iBMIs suffer fromscalability and mobility limitations due to bulky hardware and wiring. WirelessiBMIs offer a solution but are constrained by a limited data rate. To overcomethis challenge, we are investigating hybrid spiking neural networks forembedded neural decoding in wireless iBMIs. The networks consist of a temporalconvolution-based compression followed by recurrent processing and a finalinterpolation back to the original sequence length. As recurrent units, weexplore gated recurrent units (GRUs), leaky integrate-and-fire (LIF) neurons,and a combination of both - spiking GRUs (sGRUs) and analyze their differencesin terms of accuracy, footprint, and activation sparsity. To that end, we traindecoders on the "Nonhuman Primate Reaching with Multichannel SensorimotorCortex Electrophysiology" dataset and evaluate it using the NeuroBenchframework, targeting both tracks of the IEEE BioCAS Grand Challenge on NeuralDecoding. Our approach achieves high accuracy in predicting velocities ofprimate reaching movements from multichannel primary motor cortex recordingswhile maintaining a low number of synaptic operations, surpassing the currentbaseline models in the NeuroBench framework. This work highlights the potentialof hybrid neural networks to facilitate wireless iBMIs with high decodingprecision and a substantial increase in the number of monitored neurons, pavingthe way toward more advanced neuroprosthetic technologies.
皮层内脑机接口(iBMIs)具有极大改善截瘫患者生活的潜力,可以恢复他们进行日常活动的能力。然而,目前的 iBMI 由于硬件和布线庞大,在可扩展性和移动性方面受到限制。无线 iBMI 提供了一种解决方案,但受限于有限的数据传输速率。为了克服这一挑战,我们正在研究在无线 iBMI 中嵌入神经解码的混合尖峰神经网络。这种网络包括基于时间卷积的压缩,然后是递归处理,最后插值回原始序列长度。作为递归单元,我们探索了门控递归单元(GRUs)、泄漏整合-发射(LIF)神经元以及两者的组合--尖峰递归单元(sGRUs),并分析了它们在准确性、足迹和激活稀疏性方面的差异。为此,我们在 "非人灵长类多通道感觉运动皮层电生理学伸手 "数据集上追踪解码器,并使用 NeuroBench 框架对其进行评估,目标是 IEEE BioCAS 神经解码大挑战赛的两个赛道。我们的方法能从多通道初级运动皮层记录中预测灵长类动物伸手动作的速度,同时保持较低的突触操作次数,达到了很高的准确度,超过了 NeuroBench 框架中的现有基准模型。这项工作凸显了混合神经网络的潜力,可促进具有高解码精度的无线 iBMI,并大幅增加受监控神经元的数量,为实现更先进的神经假体技术铺平道路。
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引用次数: 0
期刊
arXiv - QuanBio - Neurons and Cognition
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