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We introduce Robust Filter Attention (RFA), a formulation of self-attention as a robust state estimator. Each token is treated as a noisy observation of a latent trajectory governed by a linear stochastic differential equation (SDE), and…

Machine Learning · Computer Science 2026-05-26 Peter Racioppo

A dynamic sampled stochastic approximated (DS-SA) extragradient method for stochastic variational inequalities (SVI) is proposed that is \emph{robust} with respect to an unknown Lipschitz constant $L$. To the best of our knowledge, it is…

Optimization and Control · Mathematics 2017-08-28 Alfredo Iusem , Alejandro Jofré , Roberto I. Oliveira , Philip Thompson

In recent years, speech emotion recognition (SER) has been used in wide ranging applications, from healthcare to the commercial sector. In addition to signal processing approaches, methods for SER now also use deep learning techniques which…

Audio and Speech Processing · Electrical Eng. & Systems 2022-03-29 Sneha Das , Nicole Nadine Lønfeldt , Anne Katrine Pagsberg , Line H. Clemmensen

Differential-algebraic equations (DAEs) with state-dependent events arise in systems whose continuous dynamics are constrained by algebraic equations and interrupted by mode changes, switching logic, impacts, or state reinitializations.…

Machine Learning · Computer Science 2026-05-08 Ion Matei , Maksym Zhenirovskyy , Anthony Wong

Optimal sensor placement is essential for minimizing costs and ensuring accurate state estimation in power systems. This paper introduces a novel method for optimal sensor placement for dynamic state estimation of power systems modeled by…

Systems and Control · Electrical Eng. & Systems 2025-02-06 Milos Katanic , Yi Guo , John Lygeros , Gabriela Hug

In this paper, we investigate a distributed estimation problem for multi-agent systems with state equality constraints (SEC). First, under a time-based consensus communication protocol, applying a modified projection operator and the…

Systems and Control · Computer Science 2019-03-12 Xingkang He , Chen Hu , Yiguang Hong , Ling Shi , Haitao Fang

Conventional state estimation routines of electrical grids are mainly reliant on dynamic models of fossil fuel-based resources. These models commonly contain differential equations describing synchronous generator models and algebraic…

Systems and Control · Electrical Eng. & Systems 2022-09-22 Muhammad Nadeem , Ahmad F. Taha

Tensegrity robots are a class of compliant robots that have many desirable traits when designing mass efficient systems that must interact with uncertain environments. Various promising control approaches have been proposed for tensegrity…

Robotics · Computer Science 2016-11-17 Ken Caluwaerts , Jonathan Bruce , Jeffrey M. Friesen , Vytas SunSpiral

The problem of state estimation for unobservable distribution systems is considered. A deep learning approach to Bayesian state estimation is proposed for real-time applications. The proposed technique consists of distribution learning of…

Machine Learning · Statistics 2019-02-26 Kursat Rasim Mestav , Jaime Luengo-Rozas , Lang Tong

Ambient Forcing is a novel method to sample random states from manifolds of differential-algebraic equations (DAE). These states can represent local perturbations of nodes in power systems with loads, which introduces constraints into the…

Adaptation and Self-Organizing Systems · Physics 2023-08-30 Anna Büttner , Jürgen Kurths , Frank Hellmann

We introduce Dagma-DCE, an interpretable and model-agnostic scheme for differentiable causal discovery. Current non- or over-parametric methods in differentiable causal discovery use opaque proxies of ``independence'' to justify the…

Machine Learning · Computer Science 2024-02-05 Daniel Waxman , Kurt Butler , Petar M. Djuric

In this paper, we introduce the concept of observability of targeted state variables for systems that may not be fully observable. For their estimation, we introduce and exemplify a deep filter, which is a neural network specifically…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Wei Kang , Liang Xu , Hong Zhou

We propose a methodology to address two analysis problems concerning complex systems, namely bounding state functionals of stochastic differential equations (SDEs) and verifying set avoidance of systems described by partial differential…

Optimization and Control · Mathematics 2016-03-30 Mohamadreza Ahmadi , Giorgio Valmorbida , Antonis Papachristodoulou

This paper is the second of a two-part series that discusses the implementation issues and test results of a robust Unscented Kalman Filter (UKF) for power system dynamic state estimation with non-Gaussian synchrophasor measurement noise.…

Systems and Control · Computer Science 2020-06-02 Junbo Zhao , Lamine Mili

This letter introduces two multi-sensor state estimation frameworks for quadruped robots, built on the Invariant Extended Kalman Filter (InEKF) and Invariant Smoother (IS). The proposed methods, named E-InEKF and E-IS, fuse kinematics, IMU,…

This paper deals with the non-convex power system state estimation (PSSE) problem, which plays a central role in the monitoring and operation of electric power networks. Given a set of noisy measurements, PSSE aims at estimating the vector…

Optimization and Control · Mathematics 2017-04-04 Yu Zhang , Ramtin Madani , Javad Lavaei

We introduce Variational State-Space Filters (VSSF), a new method for unsupervised learning, identification, and filtering of latent Markov state space models from raw pixels. We present a theoretically sound framework for latent state…

Machine Learning · Computer Science 2022-03-22 Daniel Pfrommer , Nikolai Matni

Characterizing the long term behavior of dynamical systems given limited measurements is a common challenge throughout the physical and biological sciences. This is a challenging task due to the sparsity and noise inherent to empirical…

Machine Learning · Computer Science 2026-03-10 Roy Friedman , Noa Moriel , Matthew Ricci , Guy Pelc , Yair Weiss , Mor Nitzan

Data assimilation (DA) methods combine model predictions with observational data to improve state estimation in dynamical systems, inspiring their increasingly prominent role in geophysical and climate applications. Classical DA methods…

Numerical Analysis · Mathematics 2025-10-23 Lizuo Liu , Tongtong Li , Anne Gelb

This paper proposes a novel low-rank approximation to the multivariate State-Space Model. The Stochastic Partial Differential Equation (SPDE) approach is applied component-wise to the independent-in-time Mat\'ern Gaussian innovation term in…

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