Speaker: Ottmar EtteVenue: Zijingang Campus, East 1B-315Time: 10:00-12:00, NOV 1st, 2024

Speaker: ZHENG ZeminVenue: Administration building Room 1417, Zijingang CampusTime: Nov 5th, 2024 15:30Abstract: Multi-task learning is a widely used technique for harnessing information from various tasks. Recently, the sparse orthogonal factor regression (SOFAR) framework, based on the sparse singular value decomposition (SVD) within the coefficient matrix, was introduced for interpretable multi-task learning, enabling the discovery of meaningful latent feature-response association networks across different layers. However, conducting precise inference on the latent factor matrices has remained challenging due to the orthogonality constraints inherited from the sparse SVD constraints. In this paper, we suggest a novel approach called the high-dimensional manifold-based SOFAR inference (SOFARI), drawing on the Neyman near-orthogonality inference while incorporating the Stiefel manifold structure imposed by the SVD constraints. By leveraging the underlying Stiefel manifold structure that is crucial to enabling inference, SOFARI provides easy-to-use bias-corrected estimators for both latent left factor vectors and singular values, for which we show to enjoy the asymptotic mean-zero normal distributions with estimable variances. We illustrate the effectiveness of SOFARI and justify our theoretical results through simulation examples and a real data application in economic forecasting.

Speaker: Prof. Leon Chai, UIUCModerator: Prof. Hao Tianhu, Zhejiang UniversityTime: 19:00-21:00 pm, Oct. 28, 2024 (Monday)Venue: 腾讯会议 690 262 214Bilibili Live：https://live.bilibili.com/24519212I propose a new way of arriving at a Renaissance-Medieval distinction. Medieval theology had favored the independent status of ideas, defined by Aquinas and others as existing in the mind of God. By contrast Pico sees only a divine emanationism, by which God creates or produces only a first hypostasis from which ideas arise subsequently. Thus we can associate the Renaissance with a new primacy of creative activity or process over a previously-stable medieval world order based on ideationism. 

Speaker: Dr. Xichen GuoVenue: LTN A-201, International CampusAbstract: This presentation explores the groundbreaking advancements in 4D PMCW radar technology, focusing on its applications in autonomous driving and smart cities. We will discuss how PMCW(Phase Modulated Continuous Wave) radar offers superior performance compared to traditional radar systems, addressing key challenges like RF system design, radar system integration, static target detection, signal processing, and cost efficiency. By leveraging innovative design and signal processing techniques, this technology has the potential to revolutionize sensing in the automotive industry and beyond, setting new standards for safety and precision. The speaker will also share her exciting career experiences in electromagnetics

Speaker: Professor Mohammed AbouzaidVenue: Hainayuan Building 2, room 210Abstract: Morse formulated his main results, relating topology to the calculus of variants almost exactly a century ago. This lecture will begin by re-casting Morse's results in modern terms, using the formalism that Witten developed in the 1980's, in terms of the existence of a chain complex, built from the critical points of a function and the gradient flow lines connecting them, and whose homology computes ordinary homology. l will then describe modern developments, initiated by Floer, for describing more delicate information about a manifold, using gradient flow trajectories, than are encoded in ordinary homology. Finally, l will address some of the motivations for the recent progress, arising in the areas of symplectic topology and Hamiltonian dynamics.

Speaker： Professor Jiang-Hua Lu（The University of Hong Kong）Venue： 数学科学学院2楼报告厅(海纳苑2幢210室)Abstract： After briefly introducing some basic facts in Poisson geometry, we explain how Poisson geometric considerations naturally lead to cluster mutations as in the theory of cluster algebras. As a special class of examples, we show how the so-called standard Poisson structure on generalized Schubert cells can be used, via the theory of symmetric Poisson CGL extensions developed by K. Goodearl and M. Yakimov, to obtain cluster structures on related varieties from Lie theory.

Speaker: Prof. Guan Yong Liangof.YongLiangGUAProf.YongLiangGUAVenue: Room 215, College of Information Science & Electronic Engineering, Yuquan CampusAbstract: High-mobility broadband communication channels tend to suffer from fast time-varying multipath fading with large Doppler spread, also known as doubly selective fading. Doubly selective fading becomes more severe when future communications move to higher frequency bands in the mm-wave or sub-THz range. Multipath fading introduces inter-symbol interference (ISI) in single-carrier communication systems, Doppler spread introduces inter-carrier interference (ICI) to multi-carrier communication. Tracking the fast- varying fading channel states also requires more pilot overhead, which cuts communication efficiency. On the other hand, multipath presents frequency diversity, while Doppler effects present time diversity, which are good against signal deep fades. In this talk, I will share recent results in constructing doppler-resilient multipath receivers with low pilot overhead, by exploiting BEM channel modelling, pseudo-pilot, iterative channel estimation and equalization, and other techniques, turning the foes in doubly selective fading channel to diversity benefits. 

Speaker: Jerome BusemeyerVenue: 537, No.3 Haina BuildingAbstract: Quantum cognition is a growing new field in cognitive science concerned with the application of the mathematical principles of quantum theory to human judgment and decision-making. Essentially, it applies the mathematics of quantum theory without the physics to human behavior. Quantum consciousness concerns both the possible role that quantum mechanics has for understanding consciousness, as well as the other way around, the role that consciousness has for understanding quantum physics. Quantum brain theories hypothesize that quantum physical processes occur within and between the neurons of the brain and have important effects on cognition as well as consciousness. What do all these theories have to do with each other? Past work on quantum cognition has avoided addressing fundamental issues about consciousness and remained agnostic with respect to the quantum brain hypothesis. Quantum theories of consciousness have more to say about quantum physics than cognitive psychology more to say about quantum physics than cognitive psychology and conscious experiences.Quantum brain theories have not been sufficiently "scaled up"to provide clear implications for how quantum physical processes actually generate more complex cognition. During this talk I will address the problem of connecting these ideas together by connecting quantum cognition to the other two topics. First, for the purpose of this talk, let us set aside the arguments, and adopt the premise that the quantum brain hypothesis is correct. What would this imply for quantum cognition? How would this hypothesis change the way quantum cognition researchers do their business (i.e., build their mathematical models of behavior). Second, what if anything,can quantum cognition bring to the discussion of consciousness using only the mathematical principles of quantum theory?