Pattern ensembling fills in missing or inaccurate trajectory data.
arXiv research
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Study benchmarks methods for learning non-Cartesian k-space trajectories and reconstruction.
The paper extends a neural model to estimate uncertainty in multi-interaction trajectory reconstruction.
TGD improves conditional sampling by concentrating computation on promising trajectories.
Empirical data on real complex systems are becoming increasingly available. Parallel to this is the need for new methods of reconstructing (inferring) the topology of networks from time-resolved observations of their node-dynamics. The methods based on physical insights often rely on strong assumptions about the proper…
LSS learns molecular trajectories from MD data.
We address the problem of abnormal event detection from trajectory data. In this paper, a new adversarial approach is proposed for building a deep neural network binary classifier, trained in an unsupervised fashion, that can distinguish normal from abnormal trajectory-based events without the need for setting manual d…
Model based predictions of future trajectories of a dynamical system often suffer from inaccuracies, forcing model based control algorithms to re-plan often, thus being computationally expensive, suboptimal and not reliable. In this work, we propose a model agnostic method for estimating the uncertainty of a model?s pr…
We introduce a deep learning method to simulate the motion of particles trapped in a chaotic recirculating flame. The Lagrangian trajectories of particles, captured using a high-speed camera and subsequently reconstructed in 3-dimensional space, were used to train a variational autoencoder (VAE) which comprises multipl…
Improves MRI-based brain surface reconstruction with minimal deformation energy loss.
Framework improves clinical timeline reconstruction from text and tables.
EFiGP uses Fourier and eigen-decomposition for efficient ODE parameter estimation.
We propose a statistical learning-based traffic speed estimation method that uses sparse vehicle trajectory information. Using a convolutional encoder-decoder based architecture, we show that a well trained neural network can learn spatio-temporal traffic speed dynamics from time-space diagrams. We demonstrate this for…
Novel methods improve Bayesian analysis of chaotic dynamical systems.
A new algorithm reconstructs population dynamics from coarse samples.
Develops a method to infer cell trajectories from RNA sequencing data.
We consider compressed sensing formulated as a minimization problem of nonconvex sparse penalties, Smoothly Clipped Absolute deviation (SCAD) and Minimax Concave Penalty (MCP). The nonconvexity of these penalties is controlled by nonconvexity parameters, and L1 penalty is contained as a limit with respect to these para…
StrTransformer recovers sources without labels by optimizing latent matrices and enforcing structural constraints.
New method learns cell trajectories and network interactions from single-cell data.
Compressive sensing is an impressive approach for fast MRI. It aims at reconstructing MR image using only a few under-sampled data in k-space, enhancing the efficiency of the data acquisition. In this study, we propose to learn priors based on undecimated wavelet transform and an iterative image reconstruction algorith…
Enhances diffusion models by preprocessing data to improve reconstruction quality.
Single linear solve combines surface reconstruction and uncertainty quantification.
NeuralMD accelerates protein-ligand binding simulations 1Kx faster.
We study control systems invariant under a Lie group with application to the problem of nonlinear trajectory planning. A theory of symmetry reduction of exterior differential systems is employed to demonstrate how symmetry reduction and reconstruction is effective in the explicit, exact construction of planned system t…
Until recently, transcriptomics was limited to bulk RNA sequencing, obscuring the underlying expression patterns of individual cells in favor of a global average. Thanks to technological advances, we can now profile gene expression across thousands or millions of individual cells in parallel. This new type of data has …
In this paper, we address the problem of reconstructing coverage maps from path-loss measurements in cellular networks. We propose and evaluate two kernel-based adaptive online algorithms as an alternative to typical offline methods. The proposed algorithms are application-tailored extensions of powerful iterative meth…
We present a numerical approach for approximating unknown Hamiltonian systems using observation data. A distinct feature of the proposed method is that it is structure-preserving, in the sense that it enforces conservation of the reconstructed Hamiltonian. This is achieved by directly approximating the underlying unkno…
Gradient descent with small random init mimics spectral methods for low-rank matrix recovery.
Tracking large numbers of densely-arranged, interacting objects is challenging due to occlusions and the resulting complexity of possible trajectory combinations, as well as the sparsity of relevant, labeled datasets. Here we describe a novel technique of collective tracking in the model environment of a 2D honeybee hi…
DRIO improves time series imputation by minimizing reconstruction error and distributional divergence.
Conebeam CT using a circular trajectory is quite often used for various applications due to its relative simple geometry. For conebeam geometry, Feldkamp, Davis and Kress algorithm is regarded as the standard reconstruction method, but this algorithm suffers from so-called conebeam artifacts as the cone angle increases…
DynamicVAE improves disentanglement and reconstruction accuracy without sacrificing one for the other.
Method reconstructs glacier front trajectories from record moraine data.
Diagnostic stroke imaging with C-arm cone-beam computed tomography (CBCT) enables reduction of time-to-therapy for endovascular procedures. However, the prolonged acquisition time compared to helical CT increases the likelihood of rigid patient motion. Rigid motion corrupts the geometry alignment assumed during reconst…
Method learns model for unknown stochastic system from data.
Paper studies asymmetric matrix sensing, proving gradient descent converges to low-rank solutions.
Energy based models (EBMs) are appealing due to their generality and simplicity in likelihood modeling, but have been traditionally difficult to train. We present techniques to scale MCMC based EBM training on continuous neural networks, and we show its success on the high-dimensional data domains of ImageNet32x32, Ima…
This paper presents a mesoscopic traffic flow model that explicitly describes the spatio-temporal evolution of the probability distributions of vehicle trajectories. The dynamics are represented by a sequence of factor graphs, which enable learning of traffic dynamics from limited Lagrangian measurements using an effic…
Proposes a novel method for generating hard negatives near time series data boundaries.
Exact simulation method for market impact estimation under various execution strategies.
Improved tracking of tangled point sources using Riemannian metrics.
This work extends entropic optimal transport to non-product reference couplings, focusing on Gaussian cases.
DAPS++ improves diffusion-based image restoration by decoupling prior and likelihood.
Markov jump processes (MJPs) are used to model a wide range of phenomena from disease progression to RNA path folding. However, maximum likelihood estimation of parametric models leads to degenerate trajectories and inferential performance is poor in nonparametric models. We take a small-variance asymptotics (SVA) appr…
This paper studies cohomogeneity one Ricci solitons. If the isotropy representation of the principal orbit consists of two inequivalent -invariant irreducible summands, the existence of parameter families of non-homothetic complete steady and expanding Ricci solitons on non-trivial bundles is shown. These e…
DAPS++ improves diffusion-based image restoration by decoupling prior and likelihood.
Time-resolved angiography with interleaved stochastic trajectories (TWIST) has been widely used for dynamic contrast enhanced MRI (DCE-MRI). To achieve highly accelerated acquisitions, TWIST combines the periphery of the k-space data from several adjacent frames to reconstruct one temporal frame. However, this view-sha…
New PCA method detects faults using occupation kernels.