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In this paper, we introduce a type of tensor neural network. For the first time, we propose its numerical integration scheme and prove the computational complexity to be the polynomial scale of the dimension. Based on the tensor product…

Numerical Analysis · Mathematics 2023-07-24 Yifan Wang , Pengzhan Jin , Hehu Xie

The design of neural architectures for structured objects is typically guided by experimental insights rather than a formal process. In this work, we appeal to kernels over combinatorial structures, such as sequences and graphs, to derive…

Neural and Evolutionary Computing · Computer Science 2017-10-31 Tao Lei , Wengong Jin , Regina Barzilay , Tommi Jaakkola

Artificial Intelligence has historically relied on planning, heuristics, and handcrafted approaches designed by experts. All the while claiming to pursue the creation of Intelligence. This approach fails to acknowledge that intelligence…

Neural and Evolutionary Computing · Computer Science 2020-03-27 Jordan Ott

We introduce a theoretical approach to study the quantum-dissipative dynamics of electronic excitations in macromolecules, which enables to perform calculations in large systems and cover long time intervals. All the parameters of the…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 S. A Beccara , F. Mascherpa , E. Schneider , P. Faccioli

We show that the common local Monte Carlo rules used to simulate the motion of driven flux lines in disordered media cannot capture the interplay between elasticity and disorder which lies at the heart of these systems. We therefore discuss…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alberto Rosso , Werner Krauth

This work examines the presence of modularity in pre-trained Transformers, a feature commonly found in human brains and thought to be vital for general intelligence. In analogy to human brains, we consider two main characteristics of…

Computation and Language · Computer Science 2023-10-31 Zhengyan Zhang , Zhiyuan Zeng , Yankai Lin , Chaojun Xiao , Xiaozhi Wang , Xu Han , Zhiyuan Liu , Ruobing Xie , Maosong Sun , Jie Zhou

In order to create a novel model of memory and brain function, we focus our approach on the sub-molecular (electron), molecular (tubulin) and macromolecular (microtubule) components of the neural cytoskeleton. Due to their size and…

Quantum Physics · Physics 2007-05-23 A. Mershin , D. V. Nanopoulos , E. M. C. Skoulakis

Molecular Communications (MC) is an emerging research paradigm that utilizes molecules to transmit information, with promising applications in biomedicine such as targeted drug delivery or tumor detection. It is also envisioned as a key…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Martín Schottlender , Maximilian Schäfer , Ricardo A. Veiga

The electromigration (EM) of metallic lines is studied in terms of competition between two percolative processes taking place in a random resistor network. The effects associated with the transport of mass and with the consequent growth of…

Condensed Matter · Physics 2007-05-23 C. Pennetta , L. Reggiani , E. Alfinito

Nuclei will play a prominent role in searches for physics beyond the Standard Model as the active material in experiments. In order to reliably interpret new physics signals, one needs an accurate model of the underlying nuclear dynamics.…

Nuclear Theory · Physics 2024-12-06 Garrett B. King , Saori Pastore

A Monte Carlo simulation on the basis of quantum trajectory approach is carried out for the measurement dynamics of a single electron spin resonance. The measured electron, which is confined in either a quantum dot or a defect trap, is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jinshuang Jin , Jianhong Guo , Junyan Luo , Xin-Qi Li , YiJing Yan

We propose a novel wave function partitioning method that integrates deep-learning variational Monte Carlo with ans\"atze based on generalized product functions. This approach effectively separates electronic wave functions (WFs) into…

Chemical Physics · Physics 2025-06-24 Matěj Mezera , Paolo A. Erdman , Zeno Schätzle , P. Bernát Szabó , Frank Noé

Molecular processes of neuronal learning have been well-described. However, learning mechanisms of non-neuronal cells have not been fully understood at the molecular level. Here, we discuss molecular mechanisms of cellular learning,…

Molecular Networks · Quantitative Biology 2020-03-18 Péter Csermely , Nina Kunsic , Péter Mendik , Márk Kerestély , Teodóra Faragó , Dániel V. Veres , Péter Tompa

Voltage-gated ion channels are key molecules for the generation and propagation of electrical signals in excitable cell membranes. The voltage-dependent switching of these channels between conducting and nonconducting states is a major…

Biological Physics · Physics 2009-09-10 Riza Erdem , Ekrem Aydiner

We revisit the planning problem in the blocks world, and we implement a known heuristic for this task. Importantly, our implementation is biologically plausible, in the sense that it is carried out exclusively through the spiking of…

Artificial Intelligence · Computer Science 2022-11-22 Francesco d'Amore , Daniel Mitropolsky , Pierluigi Crescenzi , Emanuele Natale , Christos H. Papadimitriou

Neuronal ensemble inference is one of the significant problems in the study of biological neural networks. Various methods have been proposed for ensemble inference from their activity data taken experimentally. Here we focus on Bayesian…

Disordered Systems and Neural Networks · Physics 2020-03-30 Shun Kimura , Koujin Takeda

In this study, we address the challenge of analyzing electrophysiological measurements in neuronal networks. Our computational model, based on the Reservoir Computing Network (RCN) architecture, deciphers spatio-temporal data obtained from…

Quantitative Methods · Quantitative Biology 2025-02-14 Ilya Auslender , Giorgio Letti , Yasaman Heydari , Clara Zaccaria , Lorenzo Pavesi

With the advancement of synthetic biology, several new tools have been conceptualized over the years as alternative treatments for current medical procedures. Most of those applications are applied to various chronic diseases. This work…

Decoding visual stimuli from neural activity is essential for understanding the human brain. While fMRI methods have successfully reconstructed static images, fMRI-to-video reconstruction faces challenges due to the need for capturing…

Computer Vision and Pattern Recognition · Computer Science 2025-07-17 Haonan Wang , Qixiang Zhang , Lehan Wang , Xuanqi Huang , Xiaomeng Li

Spiking artificial neurons emulate the voltage spikes of biological neurons, and constitute the building blocks of a new class of energy efficient, neuromorphic computing systems. Antiferromagnetic materials can, in theory, be used to…

Mesoscale and Nanoscale Physics · Physics 2022-08-19 Hannah Bradley , Steven Louis , Cody Trevillian , Lily Quach , Elena Bankowski , Andrei Slavin , Vasyl Tyberkevych