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This paper deals with the problem of identifying direct causal effects in recursive linear structural equation models. The paper establishes a sufficient criterion for identifying individual causal effects and provides a procedure computing…

Methodology · Statistics 2012-06-26 Jin Tian

This paper investigates adaptive model predictive control (MPC) for a class of constrained linear systems with unknown model parameters. This is also posed as the dual control problem consisting of system identification and regulation. We…

Optimization and Control · Mathematics 2020-11-24 Kunwu Zhang , Yang Shi

The purposes of this paper are to classify lower triangular forms and to determine under what conditions a nonlinear system is equivalent to a specific type of lower triangular forms. According to the least multi-indices and the greatest…

Systems and Control · Electrical Eng. & Systems 2022-08-16 Duan Zhang , Ying Sun

An important open problem in the synthesis of passive controllers is to obtain a passive network that realizes an arbitrary given impedance function and contains the least possible number of elements. This problem has its origins in…

Systems and Control · Computer Science 2019-11-11 Timothy H. Hughes

In 2002 Thakare et al.\ counted non-isomorphic lattices on $n$ elements, having nullity up to two. In 2020 Bhavale and Waphare introduced the concept of RC-lattices as the class of all lattices in which all the reducible elements are…

Combinatorics · Mathematics 2025-02-12 A. N. Bhavale

This paper introduces a method to identify traps in molecular charge transport networks as obtained by multiscale modeling of organic semiconductors. Depending on the materials, traps can be defect-like single molecules or clusters of…

Computational Physics · Physics 2025-04-01 Zhongquan Chen , Pim van der Hoorn , Björn Baumeier

This work studies the limitations of uniquely identifying the structure (i.e., topology) of a networked linear system from partial measurements of its nodal dynamics. In general, many networks can be consistent with these measurements; this…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Jaidev Gill , Jing Shuang Li

The bifactor model and its extensions are multidimensional latent variable models, under which each item measures up to one subdimension on top of the primary dimension(s). Despite their wide applications to educational and psychological…

Statistics Theory · Mathematics 2020-12-23 Guanhua Fang , Xin Xu , Jinxin Guo , Zhiliang Ying , Susu Zhang

Finding the equivalent resistance of an infinite ladder circuit is a classical problem in physics. We expand this well-known challenge to new classes of network topologies, in which the unit cells are much more entangled together. The exact…

Classical Physics · Physics 2021-05-12 Tung X. Tran , Linh K. Nguyen , Quan M. Nguyen , Chinh D. Tran , Truong H. Cai , Trung Phan

Compartmental models based on tracer mass balance are extensively used in clinical and pre-clinical nuclear medicine in order to obtain quantitative information on tracer metabolism in the biological tissue. This paper is the first of a…

Quantitative Methods · Quantitative Biology 2018-08-21 Fabrice Delbary , Sara Garbarino , Valentina Vivaldi

Memristive systems and devices are potentially available for implementing reservoir computing (RC) systems applied to pattern recognition. However, the computational ability of memristive RC systems depends on intertwined factors such as…

Emerging Technologies · Computer Science 2022-06-22 Gouhei Tanaka , Ryosho Nakane

Radar-based road user classification is an important yet still challenging task towards autonomous driving applications. The resolution of conventional automotive radar sensors results in a sparse data representation which is tough to…

Machine Learning · Computer Science 2019-09-12 Nicolas Scheiner , Nils Appenrodt , Jürgen Dickmann , Bernhard Sick

The processor failures in a multiprocessor system have a negative impact on its distributed computing efficiency. Because of the rapid expansion of multiprocessor systems, the importance of fault diagnosis is becoming increasingly…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-16 Hongbin Zhuang , Wenzhong Guo , Xiaoyan Li , Ximeng Liu , Cheng-Kuan Lin

We express the equivalent resistance between the origin and any other lattice site in an infinite Body Centered Cubic (BCC) network consisting of identical resistors each of resistance R rationally in terms of known values and . The…

General Physics · Physics 2023-07-19 J. H. Asad

Molecular computation in chemical reaction networks (CRNs) now constitutes a foundational framework for designing programmable biological systems. However, prevailing design methodologies primarily treat parallelism of chemical reactions as…

Molecular Networks · Quantitative Biology 2025-12-09 Renlei Jiang , Chuanhou Gao , Denis Dochain

Detectability describes the property of an system whose current and the subsequent states can be uniquely determined after a finite number of observations. In this paper, we relax detectability to C-detectability that only requires a given…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Hao Lan , Yin Tong , Jin Guo , Carla Seatzu

Transformer-based LLMs demonstrate strong performance on graph reasoning tasks, yet their internal mechanisms remain underexplored. To uncover these reasoning process mechanisms in a fundamental and unified view, we set the basic…

Machine Learning · Computer Science 2025-09-25 Xinnan Dai , Chung-Hsiang Lo , Kai Guo , Shenglai Zeng , Dongsheng Luo , Jiliang Tang

As large language models (LLMs) advance toward expert-level performance in engineering domains, reliable reasoning under user-specified constraints becomes critical. In circuit analysis, for example, a numerically correct solution is…

Software Engineering · Computer Science 2026-04-23 Mayank Ravishankara

Reservoir Computing (RC) models, a subclass of recurrent neural networks, are distinguished by their fixed, non-trainable input layer and dynamically coupled reservoir, with only the static readout layer being trained. This design…

Machine Learning · Computer Science 2024-08-16 Robert Simon Fong , Boyu Li , Peter Tiňo

Lateral predictive coding (LPC) is a simple theoretical framework to appreciate feature detection in biological neural circuits. Recent theoretical work [Huang et al., Phys.Rev.E 112, 034304 (2025)] has successfully constructed optimal LPC…

Neurons and Cognition · Quantitative Biology 2026-04-23 Guanghui Cai , Zhen-Ye Huang , Weikang Wang , Hai-Jun Zhou