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The term quantum neural computing indicates a unity in the functioning of the brain. It assumes that the neural structures perform classical processing and that the virtual particles associated with the dynamical states of the structures…

Neural and Evolutionary Computing · Computer Science 2013-03-15 Subhash Kak

Neuroscientists today can measure activity from more neurons than ever before, and are facing the challenge of connecting these brain-wide neural recordings to computation and behavior. Here, we first describe emerging tools and…

Neurons and Cognition · Quantitative Biology 2022-01-10 Anne E. Urai , Brent Doiron , Andrew M. Leifer , Anne K. Churchland

Deep learning models are often considered black boxes due to their complex hierarchical transformations. Identifying suitable architectures is crucial for maximizing predictive performance with limited data. Understanding the geometric…

Machine Learning · Computer Science 2025-03-11 Michael Wienczkowski , Addisu Desta , Paschal Ugochukwu

The majority of current understanding of the quantum correlations is in the field of non-relativistic quantum mechanics. To develop quantum information and computation tasks fully, one must inevitably take into account the relativistic…

Quantum Physics · Physics 2024-04-26 Shrobona Bagchi

The quantum mechanical formalism doesn't support our intuition, nor does it elucidate the key concepts that govern the behaviour of the entities that are subject to the laws of quantum physics. The arrays of complex numbers are kin to the…

Quantum Physics · Physics 2015-05-13 Bob Coecke

Advances in experimental neuroscience have transformed our ability to explore the structure and function of neural circuits. At the same time, advances in machine learning have unleashed the remarkable computational power of artificial…

Neurons and Cognition · Quantitative Biology 2021-11-23 SueYeon Chung , L. F. Abbott

Brain decoding is a key neuroscience field that reconstructs the visual stimuli from brain activity with fMRI, which helps illuminate how the brain represents the world. fMRI-to-image reconstruction has achieved impressive progress by…

Neurons and Cognition · Quantitative Biology 2025-10-27 Guoying Sun , Weiyu Guo , Tong Shao , Yang Yang , Haijin Zeng , Jie Liu , Jingyong Su

Quantifying similarity between neural representations -- e.g. hidden layer activation vectors -- is a perennial problem in deep learning and neuroscience research. Existing methods compare deterministic responses (e.g. artificial networks…

Machine Learning · Computer Science 2023-02-07 Lyndon R. Duong , Jingyang Zhou , Josue Nassar , Jules Berman , Jeroen Olieslagers , Alex H. Williams

Reconstructing seeing images from fMRI recordings is an absorbing research area in neuroscience and provides a potential brain-reading technology. The challenge lies in that visual encoding in brain is highly complex and not fully revealed.…

Neural and Evolutionary Computing · Computer Science 2021-01-29 Tao Fang , Yu Qi , Gang Pan

Quantum computing and the workings of the brain have many aspects in common and have been attracting increasing attention in academia and industry. The computation in both is parallel and non-discrete. Though the underlying physical…

Neurons and Cognition · Quantitative Biology 2019-11-14 Yasunao Katayama

The recent controversy of applicability of quantum formalism to brain dynamics has been critically analysed. The prerequisites for any type of quantum formalism or quantum field theory is to investigate whether the anatomical structure of…

Quantum Physics · Physics 2007-05-23 Sisir Roy , Menas Kafatos

The mathematical apparatus of quantum--mechanical angular momentum (re)coupling, developed originally to describe spectroscopic phenomena in atomic, molecular, optical and nuclear physics, is embedded in modern algebraic settings which…

Quantum Physics · Physics 2010-04-14 V. Aquilanti , A. C. P. Bitencourt , C. da S. Ferreira , A. Marzuoli , M. Ragni

It has been suggested that relational logic, a form of logic developed by C. S. Peirce, is the common inner syntax of quantum mechanics and string theory. A relation may be represented by a spinor and the Cartan-Penrose connection of spinor…

General Physics · Physics 2012-11-05 A. Nicolaidis , V. Kiosses

We develop a theoretical framework that explains how discrete symbolic structures can emerge naturally from continuous neural network training dynamics. By lifting neural parameters to a measure space and modeling training as Wasserstein…

Machine Learning · Computer Science 2025-07-03 Peihao Wang , Zhangyang Wang

Deep learning methods have recently made notable advances in the tasks of classification and representation learning. These tasks are important for brain imaging and neuroscience discovery, making the methods attractive for porting to a…

Neural and Evolutionary Computing · Computer Science 2014-02-20 Sergey M. Plis , Devon R. Hjelm , Ruslan Salakhutdinov , Vince D. Calhoun

In quantum physics, even simple data with a well-defined structure at the wave function level can be characterized by extremely complex correlations between its constituent elements. The inherent non-locality of the quantum correlations…

Uniquely among primates, humans possess a remarkable capacity to recognize and manipulate abstract structure in the service of task goals across a broad range of behaviors. One illustration of this is in the visual perception of geometric…

Neurons and Cognition · Quantitative Biology 2023-10-02 Declan Campbell , Sreejan Kumar , Tyler Giallanza , Jonathan D. Cohen , Thomas L. Griffiths

Humans readily generalize abstract relations, such as recognizing "constant" in shape or color, whereas neural networks struggle, limiting their flexible reasoning. To investigate mechanisms underlying such generalization, we introduce…

Neurons and Cognition · Quantitative Biology 2025-07-28 Jiaqi Shang , Gabriel Kreiman , Haim Sompolinsky

Decoding approaches are widely used in neuroscience and machine learning to compare stimulus representations across neural systems, such as different brain regions, organisms, and deep learning models. Popular methods include decoding…

Neurons and Cognition · Quantitative Biology 2026-05-08 Johannes Bertram , Luciano Dyballa , T. Anderson Keller , Savik Kinger , Steven W. Zucker

In recent years, huge progress has been made on learning neural implicit representations from multi-view images for 3D reconstruction. As an additional input complementing coordinates, using sinusoidal functions as positional encodings…

Computer Vision and Pattern Recognition · Computer Science 2023-08-23 Sijia Jiang , Jing Hua , Zhizhong Han