Latest advances in Intelligence Science (IS) [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26] underpinned by breakthroughs in Intelligent Mathematics (IM) [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50] have enabled the convergence of contemporary information, computation, and electronic sciences and technologies. This trend has led to novel theories and disruptive technologies across the fields of Cognitive informatics (CI) [6], [13] and Cognitive computing (CC) [1] as fundamental theories of intelligence science and Autonomous AI (AAI) [12].This keynote lecture presents the latest advances in electronics, information, and computing theories underpinned by cognitive informatics [5], [10], [13], cognitive computing [1], [25] and their IM foundations. It will focus on three themes: a) The fundamental mechanisms of cognitive information representations and manipulations in the brain for cognitive computing; b) The contemporary IM theories for building the theoretical framework of IS towards autonomous and real-time intelligence generation by Cognitive Computers (κC) [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50]; and c) The architecture of κC towards full AAI for unleashing machine intelligence enabled by Brain-Inspired Systems (BIS) [14], [51], [73] driven by IM. Applications of KC and IM will be demonstrated by pilot projects and experiments in novel intelligent computing systems [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89].
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