## Abhishek Halder
## News[April 10, 2021] Excited to participate in the Professor Panel at UCSC Engineering Baskin Day 2021 [April 05, 2021] Our paper Anytime Ellipsoidal Over-approximation of Forward Reach Sets of Uncertain Linear Systems has been accepted in the Workshop on "Computation-Aware Algorithmic Design for Cyber-Physical Systems" at the 2021 CPS-IoT week [March 24, 2021] New manuscripts: On the Convexity of Discrete Time Covariance Steering in Stochastic Linear Systems with Wasserstein Terminal Cost and The Boundary and Taxonomy of Integrator Reach Sets [March 07, 2021] New manuscript: Anytime Ellipsoidal Over-approximation of Forward Reach Sets of Uncertain Linear Systems [Feb 21, 2021] New manuscript: The Curious Case of Integrator Reach Sets, Part I: Basic Theory [Feb 06, 2021] Our paper Wasserstein Proximal Algorithms for the Schrödinger Bridge Problem: Density Control with Nonlinear Drift is accepted in IEEE TAC [Jan 30, 2021] Excited to co-organize the workshop "Control of Distributions: Theory and Applications" at the ACC 2021 with Efstathios Bakolas, Yongxin Chen, and Panagiotis Tsiotras. [Jan 24, 2021] Our papers "Reflected Schrödinger Bridge: Density Control with Path Constraints" and "Prediction and Optimal Feedback Steering of Probability Density Functions for Safe Automated Driving" (also in IEEE Control Systems Letters) are accepted in ACC 2021. [Jan 22, 2021] The 3rd NorCal Control Conference (virtual) has talk slides and videos online. Thanks to all the students for sharing your exciting works. Shadi presented her work on the convex geometry of integrator reach sets. [Dec 06, 2020] Excited to co-organize the workshop "Computation-Aware Algorithmic Design for Cyber-Physical Systems" at the 2021 CPS-IoT week with Murat Arcak, Heiner Litz, Lin Pham, Ricardo Sanfelice, and Majid Zamani. [Dec 05, 2020] Our paper Prediction and Optimal Feedback Steering of Probability Density Functions for Safe Automated Driving is accepted in IEEE Control Systems Letters [Nov. 19, 2020] Invited talk in the 2020 NSF AMPS PI Workshop [Nov. 18, 2020] Invited talk in the Controls, Autonomy and Robotics Seminar at University of Texas, Austin, TX. [Oct. 14, 2020] Excited to announce new COSMOS cluster Feedback Control with Applications to Robotics for talented high school students [Sep. 14, 2020] New manuscript: Prediction and Optimal Feedback Steering of Probability Density Functions for Safe Automated Driving
[Aug. 01, 2020] Our project "Computation-Aware Algorithmic Design for Cyber-Physical Systems for Intelligent Transportation" was awarded the UCSC center-scale seed funding [July 09, 2020] Our paper Smallest Ellipsoid Containing \(p\)-sum of Ellipsoids with Application to Reachability Analysis is accepted in IEEE Transactions on Automatic Control [July 03, 2020] Shadi presented our work on convex geometry of integrator reach sets in ACC 2020 [July 02, 2020] Kenneth presented our work on finite horizon density steering for multi-input state feedback linearizable systems in ACC 2020 [July 01, 2020] Chair/co-chairing sessions "Stochastic Systems" and "Uncertain Systems II" in ACC 2020 [June 23, 2020] New manuscript: Density-based Stochastic Reachability Computation for Occupancy Prediction in Automated Driving [June 05, 2020] New manuscript: Global Convergence of Second-order Dynamics in Two-layer Neural Networks [May 27, 2020] Invited talk in the Probabilistics Seminar Series, GE Research, NY [March 30, 2020] New manuscript: Reflected Schrödinger Bridge: Density Control with Path Constraints [Feb. 25, 2020] Invited talk in the Naval Postgraduate School, Monterey, CA [Feb. 11, 2020] Congrats to Kenneth for advancement to candidacy. Great job! [Jan. 16, 2020] Our papers The Convex Geometry of Integrator Reach Sets, and Finite Horizon Density Steering for Multi-input State Feedback Linearizable Systems are accepted in ACC 2020 [Dec. 12, 2019] Collaborator and co-author Fernando Fontes presented our results on controlling thermal inertial loads in the 2019 CDC Session "Optimal Control V". Here is the paper in IEEE Control Systems Letters [Dec. 11, 2019] Collaborator and co-author Tryphon Georgiou presented our proximal recursion framework for the Wonham filter in the 2019 CDC Invited Session "Advances in Nonlinear Filtering and Stochastic Control with Partial Information I". Here is the invited paper [Dec. 10, 2019] Invited talk in the 2019 CDC workshop: Uncertainty Synthesis [Dec. 5, 2019] Our paper Hopfield Neural Network Flow: A Geometric Viewpoint is accepted in IEEE Trans. on Neural Networks and Learning Systems [Dec. 3, 2019] New manuscript: Wasserstein Proximal Algorithms for the Schrödinger Bridge Problem: Density Control with Nonlinear Drift [Nov. 15, 2019] Shadi gave spotlight talk and poster presentation showing our results on reach sets in the 2019 Bay Area Robotics Symposium [Nov. 15, 2019] Invited talk in the 2019 Bay Area Robotics Symposium [Oct. 31, 2019] Invited talk in Google Research [Oct. 23, 2019] Invited talk in the 2019 NSF AMPS PIs Workshop [Oct. 7, 2019] Talk in the Applied Math Seminar at UC Santa Cruz [Oct. 4, 2019] Invited talk in the Center for Control, Dynamical Systems, and Computation at UC Santa Barbara [Sept. 27, 2019] Two new manuscripts: The Convex Geometry of Integrator Reach Sets, and Finite Horizon Density Steering for Multi-input State Feedback Linearizable Systems
[Sept. 10, 2019] Will be giving an invited talk "Wasserstein gradient flow for filtering and control: theory and algorithms" in the SIAM UQ 2020 mini-symposium 'Optimal Control Methods for Nonlinear Filtering and Data Assimilation' at Munich, Germany [August 30, 2019] Will be giving an invited talk "Toward Feedback Control of Densities in Nonlinear Systems" in the CDC 2019 workshop 'Uncertainty Synthesis' at Nice, France [August 5, 2019] New manuscript: Hopfield Neural Network Flow: A Geometric Viewpoint [July 30, 2019] Our project "Optimal Transport Algorithms for Stochastic Uncertainty Management in Modern Power Systems" has been funded by the NSF. [July 28, 2019] Appointed as Associate Editor in the IEEE Control Systems Society (CSS) Conference Editorial Board (CEB) [July 19, 2019] Our works on proximal recursion for the Wonham filter and optimal control of thermostatic loads have been accepted in 2019 CDC [July 12, 2019] Kenneth presented our work on gradient flow algorithms for propagating PDFs, and Zahra presented our work on opinion dynamics in 2019 ACC [June 18, 2019] Our paper Gradient Flow Algorithms for Density Propagation in Stochastic Systems is conditionally accepted in TAC [May 20, 2019] Talk on Gradient Flows for Prediction and Control of Densities in ECE seminar at UCSC [May 16, 2019] Our paper Optimal Control of Thermostatic Loads for Planning Aggregate Consumption: Characterization of Solution and Explicit Strategies is accepted in L-CSS [April 26, 2019] Kenneth presented our gradient flow algorithms for density propagation in stochastic systems at the 2019 CITRIS/CPAR Symposium on Control Theory and Automation, and the 2nd Norcal Control Workshop at UC Berkeley. [April 3, 2019] New manuscript: Finite Horizon Density Control for Static State Feedback Linearizable Systems [March 19, 2019] Our paper Stability Theory of Stochastic Models in Opinion Dynamics is accepted in TAC [March 17, 2019] New manuscript: Proximal Recursion for the Wonham Filter [March 1, 2019] New manuscript: Optimal Control of Thermostatic Loads for Planning Aggregate Consumption: Characterization of Solution and Explicit Strategies [Feb. 17, 2019] We are excited to announce the 2019 CITRIS/CPAR Symposium on Control Theory and Automation, and the 2nd Norcal Control Workshop to be held at UC Berkeley. Early registration ends April 1. [Feb. 15, 2019] Our paper DeGroot-Friedkin Map in Opinion Dynamics is Mirror Descent is accepted in L-CSS [Jan. 31, 2019] I will Chair the session 'Optimization Algorithms III' and co-chair 'Markov Processes II' in 2019 American Control Conference [Jan. 28, 2019] Appointed as Associate Editor for IEEE Transactions on Aerospace and Electronic Systems [Jan. 27, 2019] Our papers "Proximal Recursion for Solving the Fokker-Planck Equation" and "Stability Analysis of Opinion Dynamics over Influence Networks" are accepted in ACC 2019. [Jan. 24, 2019] The 1st NorCal Control Workshop conference report has been published in the Feb. 2019 issue of IEEE Control Systems Magazine. [Jan. 03, 2019] Robotics and Control Research Video at UCSC Baskin Engineering. [Dec. 28, 2018] New manuscript: DeGroot-Friedkin Map in Opinion Dynamics is Mirror Descent. [Dec. 19, 2018] Our project "Fast Computation of Stochastic Reachability for Provably Safe Planning and Control in Automated Driving" has been funded by the Ford Motor Company. [Dec. 18, 2018] Co-chaired session "Computational Methods II" and presented our work on fast computation of MVOE for reach sets at the 57th CDC 2018. [Nov. 25, 2018] New manuscript: Gradient Flow Algorithms for Density Propagation in Stochastic Systems. [Oct. 18, 2018] CITRIS special event on Drones: Technology, Policy, and Society at UC Berkeley [Oct. 10, 2018] Talk on gradient flows in uncertainty propagation and filtering at San José State University (SJSU) Math/Stats Colloquium
[Sep. 26, 2018] New manuscript on solving the Fokker-Planck-Kolmogorov PDE as gradient flow: Proximal Recursion for Solving the Fokker-Planck Equation. Obviates spatial discretization or function approximation. [Aug 20, 2018] Our paper Optimal Power Consumption for Demand Response of Thermostatically Controlled Loads is accepted in *Optimal Control Applications and Methods*[July 13, 2018] The paper On the Parameterized Computation of Minimum Volume Outer Ellipsoid of Minkowski Sum of Ellipsoids is accepted in CDC 2018 [June 28, 2018] Talk on Proximal Filtering in Fisher-Rao Metric at 2018 ACC. [June 20, 2018] Brunn-Minkowski-Firey theory meets reachability analysis: Smallest Ellipsoid Containing \(p\)-sum of Ellipsoids with Application to Reachability Analysis. [May 05, 2018] New manuscript On the Parameterized Computation of Minimum Volume Outer Ellipsoid of Minkowski Sum of Ellipsoids develops fast algorithm for tight over-approximation of the Minkowski sum. [April 27, 2018] Lia and Kenneth presented research posters on UTM and uncertainty propagation at the CITRIS/CPAR Symposium on Control Theory and Automation, and the 1st Norcal Control Workshop at UC Santa Cruz. [April 01, 2018] I am co-organizer (with R. Sanfelice, K. Goldberg and R. Berenstein) for the CITRIS/CPAR Symposium on Control Theory and Automation, and the 1st Norcal Control Workshop at UC Santa Cruz on April 27, 2018. Please plan to attend if you are in the area. [March 8, 2018] I will Chair the 'Filtering' session in 2018 American Control Conference [March 7, 2018] Received seed grant from CITRIS and the Banatao Institute, People and Robots Initiative (CPAR) [Feb. 12, 2018] Talk on Reachable Tube Computation for Unmanned Air Traffic Management in CPAR DREAMS seminar, UC Berkeley [Jan. 29, 2018] Received New Faculty Research grant from UCSC Committee on Research [Jan. 20, 2018] Our paper Gradient Flows in Filtering and Fisher-Rao Geometry is accepted in ACC 2018 as an Invited Paper [Jan. 5, 2018] Joined IEEE CSS Technical Committee on Systems with Uncertainty [Dec. 4, 2017] Talk on filtering at Applied Math special seminar, Jack Baskin School of Engineering, UC Santa Cruz [Oct. 4, 2017] Talk on Unmanned Air Traffic Management at Second Annual Center for Research in Open Source Software (CROSS) Research Symposium, UC Santa Cruz [Oct. 1, 2017] Joined as Assistant Professor in the Dept. of Applied Mathematics and Statistics, UC Santa Cruz
[Sep. 28, 2017] New manuscript: Gradient Flows in Filtering and Fisher-Rao Geometry shows Kalman-Bucy filter is gradient descent w.r.t. the Riemannian metric [July 12, 2017] Our paper Gradient Flows in Uncertainty Propagation and Filtering of Linear Gaussian Systems is accepted in CDC 2017 [June 10, 2017] New manuscript: $\href{https://arxiv.org/pdf/1706.03158.pdf}{\text{Stability Theory in }\ell_{1}\;\text{for Nonlinear Markov Chains and Stochastic Models for Opinion Dynamics over}}$ $\href{https://arxiv.org/pdf/1706.03158.pdf}{\text{Influence Networks}}$ [April 21, 2017] Talk on filtering at the 32nd Southern California Control Workshop, Caltech [April 13, 2017] Talk at the Dept. of Aerospace Engineering, Mississippi State University [March 31, 2017] Talk at the Dept. of Mechanical and Aerospace Engineering, Syracuse University [March 20, 2017] Talk at the Dept. of Mechanical Engineering, UT Dallas [January 27, 2017] Talk at the Dept. of Applied Mathematics and Statistics, UC Santa Cruz [Dec. 12, 2016] Control of Large Scale Cyberphysical Systems poster at CDC 2016, Las Vegas, NV [Dec. 5, 2016] Talk on demand response at Comverge Inc., Denver, CO [Nov. 26, 2016] Paper selected by the IEEE Power and Energy Society (PES) Technical Committee for presentation in 2017 PES General Meeting [Nov. 4, 2016] Paper accepted in IEEE Transactions on Power Systems [Nov. 3, 2016] Talk on demand response at Texas A&M Workshop on Architecture and Economics of the Future Grid [Nov. 1, 2016] Check out new website gridx.tamu.edu for our research on future power grid [Oct. 31, 2016] Presented poster on demand response at the 2016 NSF CPS PI meeting [Sep. 23, 2016] Two updated manuscripts: -- Architecture and Algorithms for Privacy Preserving Thermal Inertial Load Management by A Load Serving Entity -- Optimal Power Consumption for Demand Response of Thermostatically Controlled Loads[Aug. 26, 2016] Our son Rishav is born [June 24, 2016] Manuscript submitted to Transactions on Power Systems [June 17, 2016] Slides for the talk at ERCOT Demand Side Working Group meeting [April 9-13, 2016] Workshop on Control at Large Scales: Energy Markets and Responsive Grids, IMA Thematic Year on Control Theory and its Applications, Minneapolis, 2016. (Group Photo) [Jan. 28, 2016] Density control paper accepted in ACC 2016 [Nov. 16-17, 2015] Presented poster on smart grid research at the 2015 NSF CPS PI meeting [Nov. 3, 2015] Talk on demand response at SmartgridComm 2015 [Oct. 26, 2015] Talk on demand response at Texas A&M Electrical Power & Power Electronics Institute seminar (see flyer) [Oct. 9, 2015] Presented poster on demand response at the 2015 Winedale workshop
## Brief BioAbhishek Halder is an Assistant Professor in the Department of Applied Mathematics, and an affiliated faculty in the Department of Electrical and Computer Engineering at University of California, Santa Cruz. Before that he held postdoctoral positions in the Department of Mechanical and Aerospace Engineering at University of California, Irvine, and in the Department of Electrical and Computer Engineering at Texas A&M University. He obtained his Bachelors and Masters from Indian Institute of Technology Kharagpur in 2008, and Ph.D. from Texas A&M University in 2014, all in Aerospace Engineering. His research interests are in stochastic systems, control and optimization with application focus on large scale cyber-physical systems. He is a co-founder of the annual NorCal Control Workshop that brings together systems-control researchers from academia and industry in the Northern California region fostering collaboration and professional networking. |