Sublinear Computation Paradigm

Naoki Katoh is a professor in Graduate School of Information Science at University of Hyogo, Japan, and the research director of the research project “Foundation of Innovative Algorithms for Big Data” funded by JST CREST. He had been a professor of Department of Architecture and Architectural Engineering at Kyoto University from 1997 to 2015. Yuya Higashikawa is an associate professor in Graduate School of Information Science at University of Hyogo. He had been an assistant professor in Faculty of Science and Engineering at Chuo University from 2015 to 2018, and also a JSPS Research Fellowship for Young Scientists (PD) at Kyoto University from 2014 to 2015. He received the B. Eng, M. Eng. and Dr. Eng. degrees from Kyoto University in 2008, 2010 and 2014, respectively. His interest is on design and analysis of algorithms, combinatorial optimization, discrete mathematics, computational geometry, and operations research. He is a member of IPSJ and OR Soc. Japan.Hiro Ito received B.E., M.E., and Ph.D. degrees from the Department of Applied Mathematics and Physics, the Faculty of Engineering, Kyoto University in 1985, 1987, and 1995, respectively.  In 1987-1996, 1996-2001, and 2001-2012, he was a member of NTT Laboratories, Toyohashi University of Technology, and Kyoto University, respectively.  Since 2012, he has been a full professor in the School of Informatics and Engineering at The University of Electro-Communications (UEC). He has been engaged in research on discrete algorithms mainly on graphs and networks, discrete mathematics, recreational mathematics, and algorithms for big data.Atsuki Nagao received B.Eng., M.Info., and Ph.D degrees in Informatics in 2010, 2012, and 2015, respectively.  He was an assistant professor in Faculty of Science and Technology Seikei University in 2017, and he is now an assistant professor in Faculty of Core Research Natural Science Division Ochanomizu University. He has majored in computational complexity, log-spaced algorithms and combinatorial games and puzzles.Tetsuo Shibuya is a professor at Human Genome Center, the Institute of Medical Science, The University of Tokyo. He had been a researcher at IBM Tokyo Research Laboratory from 1997 to 2004. He had been a senior assistant professor and an associate professor at Human Genome Center, the Institute of Medical Science, the University of Tokyo from 2004 to 2009 and 2009 to 2020 respectively. He won Funai Sciences Award and Microsoft Research Japan New Faculty Award in 2011, and won Science and Technology Award from MEXT, Japan in 2021. His research interest is on bioinformatics algorithms.Adnan Sljoka received Ph.D. in Applied Mathematics at York University in 2012. He is a leader in mathematical rigidity theory and its applications in structural and computational biology, focusing on the development of experimentally parameterized, low-computational complexity methods and algorithms for characterizing the function and dynamics of proteins. He was an Assistant Professor at Kwansei Gakuin University from 2016 to 2019 and is a visiting Professor at the University of Toronto. Currently, he is a Research Scientist at RIKEN. He is a member of Protein Society and Biophysical Society.Kazuyuki Tanaka was born in Sendai, in 1961, and attended Tohoku University, receiving B.E. and Ph.D. degrees in Electrical Engineering from Tohoku University in 1984 and 1989, respectively. In 1989, he joined as research associate at Faculty of Engineering in Tohoku University. In 1995, he joined as associate professor in Muroran Institute of Technology, and he is now a full professor of the Graduate School of Information Sciences, Tohoku University. His interests are in probabilistic information processing and statistical machine learning as well as statistical-mechanical informatics. He is a member of Physical Society of Japan.Yushi Uno is a professor at Graduate School of Engineering of Osaka Prefecture University, Japan. He received Ph.D. degree from Kyoto University in 1995. His research interests include algorithmic graph theory, combinatorial optimization, discrete mathematics, design and analysis of algorithms, network analysis, and so on.

• Chapter 1: What is the Sublinear Computation Paradigm?.- Chapter 2: Property Testing on Graphs and Games.- Chapter 3: Constant-Time Algorithms for Continuous Optimization Problems.- Chapter 4: Oracle-based Primal-Dual Algorithms for Packing and Covering Semidefinite Programs.- Chapter 5: Almost Linear Time Algorithms for Some Problems on Dynamic Flow Networks.- Chapter 6: Sublinear Data Structure.- Chapter 7: Compression and Pattern Matching.- Chapter 8: Orthogonal Range Search Data Structures.- Chapter 9: Enhanced RAM Simulation in Succinct Space.- Chapter 10: Review of Sublinear Modeling in Markov Random Fields by Statistical-Mechanical Informatics and Statistical Machine Learning Theory.- Chapter 11: Empirical Bayes Method for Boltzmann Machines.- Chapter 12: Dynamical analysis of quantum annealing.- Chapter 13: Mean-field analysis of Sourlas codes with adiabatic reverse annealing.- Chapter 14: Rigidity theory for protein function analysis and structural accuracy validations.- Chapter 15: Optimization of Evacuating and Walking Home Routes from Osaka City with Big Road Network Data on Nankai Megathrust Earthquake.- Chapter 16: Stream-based Lossless Data Compression.