Atulya K. Nagar | |
---|---|
Occupation(s) | Mathematical physicist, academic and author |
Spouse | Jyoti Nagar |
Academic background | |
Education | BSc., Mathematics and Physics MSc., Mathematics MPhil., Relativistic Cosmology DPhil., Mathematics |
Alma mater | University of Ajmer University of York |
Academic work | |
Institutions | Liverpool Hope University |
Atulya K. Nagar is a mathematical physicist,academic and author. He holds the Foundation Chair as Professor of Mathematics and is the Pro-Vice-Chancellor for Research at Liverpool Hope University. [1]
Nagar's research spans nonlinear mathematical analysis,theoretical computer science,and systems engineering,and addressing complex problems across scientific,engineering,and industrial domains with mathematical and computational methods. [2] His publications include over 550 research articles and eleven books including A Nature-Inspired Approach to Cryptology,Digital Resilience:Navigating Disruption and Safeguarding Data Privacy,Sine Cosine Algorithm for Optimization and the Handbook of Research on Soft Computing and Nature-Inspired Algorithms. He received the Commonwealth Fellowship Award,along with multiple Best Paper Awards. [3]
Nagar is a Fellow of the Institute of Mathematics and its Applications and the Higher Education Academy. Among his editorial service,he served as the Editor-in-Chief of the International Journal of Artificial Intelligence and Soft Computing (IJAISC),and co-edits two-book series:Algorithms for Intelligent Systems (AIS) [4] and Innovations in Sustainable Technologies and Computing (ISTC). [5]
Nagar holds an Erdős number of 3,indicating close academic proximity to the renowned mathematician Paul Erdős,established through collaborations. [6]
Nagar earned a BSc Honors in Mathematics and Physics in 1988,an MSc in Pure and Applied Mathematics in 1990,and an MPhil in Relativistic Cosmology in 1992,all from the MDS University of Ajmer (Government College Ajmer (GCA)) in India. In 1991,he was appointed Research Fellow at the Indian Institute of Technology. He was awarded the Commonwealth Fellowship in 1993 to pursue his doctoral studies,and he received a DPhil in Mathematics from the University of York in 1996,where he concurrently served as a Research Associate. [7] His DPhil advisor was Arnold M. Arthurs. [8]
Nagar worked at Brunel University,London,within the Departments of Mathematical Sciences and Systems Engineering. In 2001,he joined Liverpool Hope University,initially as a Lecturer,later appointed associate professor,and has served as full Professor since 2008. [1]
Nagar led the establishment of the School of Mathematics,Computer Science and Engineering,and later founded the Faculty of Science,serving as the inaugural Dean and overseeing the development of STEM disciplines. Subsequently,in 2019,he was appointed Pro-Vice-Chancellor for Research. [9]
Through his engagement in strategic research bodies in the UK,Nagar has contributed to various panels and taken on advisory roles,including with the JISC Research Strategy Group,UK Research and Innovation (UKRI)’s Talent Panel College (TPC),and the Commonwealth Scholarship Commission (CSC). [10]
Nagar contributed to the field of mathematical physics and computational sciences by studying modeling and optimization,relativistic cosmology and differential forms,non-linear differential equations,solutions of nonlinear boundary value problems,theoretical computer science,picture grammar,membrane computing or P-systems,neural networks,computational intelligence,electroencephalography,evolutionary computation,natural computing,fuzzy control systems,computer simulation,differential evolution,fuzzy sets,control systems theory,hemodynamics,image analysis,particle swarm optimization,and artificial intelligence. [2]
As a Hindu Priest (Purohit or Brahmin),he knows of Sanskrit and explored mathematical modeling within Vedic literature,and has also authored articles in English,Hindi,and Sanskrit on these themes. [11]
Nagar has published books on computing and algorithms. His first book,the Handbook of Research on Emerging Technologies for Electrical Power Planning,Analysis,and Optimization explored emergent methods and research to optimize electrical systems' function,addressing the increasing demand for efficient energy sources globally. In the subsequent edition,Handbook of Research on Soft Computing and Nature-Inspired Algorithms,he examined the intersection of soft computing and nature-inspired computing,showing applications across swarm intelligence,speech recognition,and electromagnetic problem-solving. He also co-edited three books in the Innovations in Communication and Computing series;Advances in Nature-Inspired Computing and Applications,Advances in Cyber Security Analytics and Decision Systems and Advances in Nature-Inspired Cyber Security and Resilience. [12]
Working alongside Jagdish C. Bansal,Prathu Bajpai and Anjali Rawat,Nagar published Sine Cosine Algorithm for Optimization,looking into the sine cosine algorithm (SCA),its principles,applications,and a MATLAB code for the basic SCA. He further analyzed nature-inspired algorithms and their applications in modern cryptography,with approaches to enhance security in A Nature-Inspired Approach to Cryptology,which he co-authored with Shishir Kumar Shandilya and Agni Datta. In 2024,he co-wrote Digital Resilience:Navigating Disruption and Safeguarding Data Privacy with Shandilya,Datta and Yash Kartik,detailing techniques like quantum computing and zero-trust systems to counter digital threats,and assessing AI's role in cybersecurity and significant cyber incidents. [13]
Nagar,as a co-author,contributed to the development of a new method for solving nonlinear boundary value problems using complementary bivariational principles. This approach focuses on methods for integral equations to derive pointwise bounds for solutions. By reformulating differential equation problems into Hammerstein-type integral equations,his research applied bivariational techniques to provide complementary pointwise bounds for the solution functions. He showed that the method was effective for nonlinear problems in mathematical physics,chemical kinetics,and biological systems. His work also demonstrated enhanced accuracy in solutions compared to previous methods. [14]
Nagar developed an approach using linear fractional transformations (LFT) and semi-definite programming (SDP) to analyze uncertainty in state estimation for water distribution systems. His method transformed the LFT problem into an SDP problem to obtain ellipsoid-of-confidence bounds. He applied it to a twelve-node water distribution network,showing that the technique improved accuracy in managing uncertainties in system state estimations,demonstrating its effectiveness through simulations using MATLAB. [15]
Nagar,in collaboration with K.G. Subramanian and colleagues,made contributions to theoretical computer science and membrane computing. Their work includes developing Pure 2D Eilenberg P systems [16] and exploring array P systems based on 2D context-free grammars. [17] They also investigated Parikh matrices and their applications in generating picture arrays using flat splicing operations. [18]
Nagar's work on computational optimization has involved the development of enhanced algorithms. In a highly cited study,he introduced the Rat Swarm Optimizer (RSO),a bio-inspired algorithm modeled on rat behaviors,demonstrating its effectiveness through benchmarking,comparisons with eight algorithms,and testing on real-life engineering problems. [19] He also proposed MOSOA,an extension of SOA for multi-objective problems,validated against existing algorithms. [20] Additionally,he compared differential evolution (DE),particle swarm optimization (PSO),and a hybrid algorithm (HPSDE) for optimizing hydrocarbon reservoir well placement,showing the hybrid approach's superior performance in maximizing recovery and addressing geological uncertainty. [21]
In a paper published in IEEE Transactions on Systems,Man,and Cybernetics:Systems,Nagar demonstrated an adaptive memetic algorithm (AMA) combining differential evolution (DE) and Q-learning for optimization,outperforming traditional algorithms in simulations and real-world path-planning tasks. [22]
Nagar studied artificial intelligence and machine learning by devising techniques to improve reinforcement learning. He presented a deterministic Q-learning algorithm that uses distance knowledge for efficient Q-table updates,reducing time complexity and storage needs,and shows superior performance in mobile robot path planning compared to classical and extended Q-learning. [23] In addition,he showcased a robotic system that learns and mimics an experienced player's actions in a simple indoor game using reinforcement learning,achieving high success rates in training younger children. [24]
Nagar utilized fuzzy sets and control systems to enhance various cognitive processes,including load detection,emotion recognition,and dopamine prediction. In a paper that received the Best Paper Award at the IEEE International Conference on Fuzzy Systems,he presented a method for detecting cognitive load levels during symbol-meaning associative learning tasks using fNIRs data and a type-2 fuzzy classifier,achieving over 89% accuracy. [25] He also addressed uncertainty in emotion recognition using type-2 fuzzy sets,constructing a fuzzy face space from facial features and achieving 98.333% classification accuracy. [26]
Collaborating with Madhuleena Dasgupta and Amit Konar,Nagar proposed a novel online prediction method for adult dopamine concentration levels using Type-2 fuzzy rules and EEG data,with potential applications in enhancing concentration and aiding brain disease treatment. [27] Furthermore,he utilized EEG signals to detect cognitive failures in driving,employing specialized fuzzy neural classifiers and support vector machines for enhanced driver safety. [28]
Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept of partial truth, where the truth value may range between completely true and completely false. By contrast, in Boolean logic, the truth values of variables may only be the integer values 0 or 1.
In computer science, evolutionary computation is a family of algorithms for global optimization inspired by biological evolution, and the subfield of artificial intelligence and soft computing studying these algorithms. In technical terms, they are a family of population-based trial and error problem solvers with a metaheuristic or stochastic optimization character.
In computational science, particle swarm optimization (PSO) is a computational method that optimizes a problem by iteratively trying to improve a candidate solution with regard to a given measure of quality. It solves a problem by having a population of candidate solutions, here dubbed particles, and moving these particles around in the search-space according to simple mathematical formulae over the particle's position and velocity. Each particle's movement is influenced by its local best known position, but is also guided toward the best known positions in the search-space, which are updated as better positions are found by other particles. This is expected to move the swarm toward the best solutions.
Bio-inspired computing, short for biologically inspired computing, is a field of study which seeks to solve computer science problems using models of biology. It relates to connectionism, social behavior, and emergence. Within computer science, bio-inspired computing relates to artificial intelligence and machine learning. Bio-inspired computing is a major subset of natural computation.
In computer science and operations research, the ant colony optimization algorithm (ACO) is a probabilistic technique for solving computational problems that can be reduced to finding good paths through graphs. Artificial ants represent multi-agent methods inspired by the behavior of real ants. The pheromone-based communication of biological ants is often the predominant paradigm used. Combinations of artificial ants and local search algorithms have become a preferred method for numerous optimization tasks involving some sort of graph, e.g., vehicle routing and internet routing.
Swarm intelligence (SI) is the collective behavior of decentralized, self-organized systems, natural or artificial. The concept is employed in work on artificial intelligence. The expression was introduced by Gerardo Beni and Jing Wang in 1989, in the context of cellular robotic systems.
In computer science and mathematical optimization, a metaheuristic is a higher-level procedure or heuristic designed to find, generate, tune, or select a heuristic that may provide a sufficiently good solution to an optimization problem or a machine learning problem, especially with incomplete or imperfect information or limited computation capacity. Metaheuristics sample a subset of solutions which is otherwise too large to be completely enumerated or otherwise explored. Metaheuristics may make relatively few assumptions about the optimization problem being solved and so may be usable for a variety of problems. Their use is always of interest when exact or other (approximate) methods are not available or are not expedient, either because the calculation time is too long or because, for example, the solution provided is too imprecise.
Marco Dorigo is a research director for the Belgian Funds for Scientific Research and a co-director of IRIDIA, the artificial intelligence lab of the Université Libre de Bruxelles. He received a PhD in System and Information Engineering in 1992 from the Polytechnic University of Milan with a thesis titled Optimization, learning, and natural algorithms. He is the leading proponent of the ant colony optimization metaheuristic, and one of the founders of the swarm intelligence research field. Recently he got involved with research in swarm robotics: he is the coordinator of Swarm-bots: Swarms of self-assembling artifacts and of Swarmanoid: Towards humanoid robotic swarms, two swarm robotics projects funded by the Future and Emerging Technologies Program of the European Commission. He is also the founding editor and editor in chief of Swarm Intelligence, the principal peer-reviewed publication dedicated to reporting research and new developments in this multidisciplinary field.
The expression computational intelligence (CI) usually refers to the ability of a computer to learn a specific task from data or experimental observation. Even though it is commonly considered a synonym of soft computing, there is still no commonly accepted definition of computational intelligence.
In artificial intelligence, artificial immune systems (AIS) are a class of computationally intelligent, rule-based machine learning systems inspired by the principles and processes of the vertebrate immune system. The algorithms are typically modeled after the immune system's characteristics of learning and memory for use in problem-solving.
A memetic algorithm (MA) in computer science and operations research, is an extension of the traditional genetic algorithm (GA) or more general evolutionary algorithm (EA). It may provide a sufficiently good solution to an optimization problem. It uses a suitable heuristic or local search technique to improve the quality of solutions generated by the EA and to reduce the likelihood of premature convergence.
A fuzzy cognitive map (FCM) is a cognitive map within which the relations between the elements of a "mental landscape" can be used to compute the "strength of impact" of these elements. Fuzzy cognitive maps were introduced by Bart Kosko. Robert Axelrod introduced cognitive maps as a formal way of representing social scientific knowledge and modeling decision making in social and political systems, then brought in the computation.
In numerical optimization, meta-optimization is the use of one optimization method to tune another optimization method. Meta-optimization is reported to have been used as early as in the late 1970s by Mercer and Sampson for finding optimal parameter settings of a genetic algorithm.
In computer science, an evolving intelligent system is a fuzzy logic system which improves the own performance by evolving rules. The technique is known from machine learning, in which external patterns are learned by an algorithm. Fuzzy logic based machine learning works with neuro-fuzzy systems.
This glossary of artificial intelligence is a list of definitions of terms and concepts relevant to the study of artificial intelligence (AI), its subdisciplines, and related fields. Related glossaries include Glossary of computer science, Glossary of robotics, and Glossary of machine vision.
This is a chronological table of metaheuristic algorithms that only contains fundamental computational intelligence algorithms. Hybrid algorithms and multi-objective algorithms are not listed in the table below.
Soft computing is an umbrella term used to describe types of algorithms that produce approximate solutions to unsolvable high-level problems in computer science. Typically, traditional hard-computing algorithms heavily rely on concrete data and mathematical models to produce solutions to problems. Soft computing was coined in the late 20th century. During this period, revolutionary research in three fields greatly impacted soft computing. Fuzzy logic is a computational paradigm that entertains the uncertainties in data by using levels of truth rather than rigid 0s and 1s in binary. Next, neural networks which are computational models influenced by human brain functions. Finally, evolutionary computation is a term to describe groups of algorithm that mimic natural processes such as evolution and natural selection.
Maurice Clerc is a French mathematician.
Nikola Kirilov Kasabov also known as Nikola Kirilov Kassabov is a Bulgarian and New Zealand computer scientist, academic and author. He is a professor emeritus of Knowledge Engineering at Auckland University of Technology, Founding Director of the Knowledge Engineering and Discovery Research Institute (KEDRI), George Moore Chair of Data Analytics at Ulster University, as well as visiting professor at both the Institute for Information and Communication Technologies (IICT) at the Bulgarian Academy of Sciences and Dalian University in China. He is also the Founder and Director of Knowledge Engineering Consulting.
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