Sketching reduces data size for accurate spectral estimation.
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Compression techniques for deep neural network models are becoming very important for the efficient execution of high-performance deep learning systems on edge-computing devices. The concept of model compression is also important for analyzing the generalization error of deep learning, known as the compression-based er…
Spectral clustering is one of the most widely used techniques for extracting the underlying global structure of a data set. Compressed sensing and matrix completion have emerged as prevailing methods for efficiently recovering sparse and partially observed signals respectively. We combine the distance preserving measur…
This paper speeds up SVC clustering by compressing data while preserving key properties.
This work analyzes how different forms of compressibility affect adversarial robustness in neural networks.
Efficiently compress pretrained models using RSI for improved predictive accuracy.
New methods improve tree ensemble models by compressing them while maintaining accuracy.
We introduce a new parameterization method for deep learning layers using spectral tensor train decomposition.
Spectral mixture (SM) kernels comprise a powerful class of generalized kernels for Gaussian processes (GPs) to describe complex patterns. This paper introduces model compression and time- and phase (TP) modulated dependency structures to the original (SM) kernel for improved generalization of GPs. Specifically, by adop…
New compression methods handle biased input sequences for more accurate posterior summaries.
This paper studies the problem of estimating the covariance of a collection of vectors using only highly compressed measurements of each vector. An estimator based on back-projections of these compressive samples is proposed and analyzed. A distribution-free analysis shows that by observing just a single linear measure…
Model reduction of Markov processes is a basic problem in modeling state-transition systems. Motivated by the state aggregation approach rooted in control theory, we study the statistical state compression of a discrete-state Markov chain from empirical trajectories. Through the lens of spectral decomposition, we study…
Near-optimal sample complexity for phase retrieval with generative priors.
New method compresses non-Gaussian distributions exponentially.
Improved performance of factorized neural layers through spectral initialization and Frobenius decay.
Proposes autoencoding with random forests using spectral graph theory.
Deep Neural Networks (DNNs) have recently been achieving state-of-the-art performance on a variety of computer vision related tasks. However, their computational cost limits their ability to be implemented in embedded systems with restricted resources or strict latency constraints. Model compression has therefore been …
Numerous methods for computing conformal mesh paramterizations has been developed due to the vast applications in the field of geometry processing. Spectral conformal parameterization (SCP) is one of these methods to computing a quality conformal parameterization based on the spectral technique. SCP focus on a generali…
Spectral clustering is one of the most popular methods for community detection in graphs. A key step in spectral clustering algorithms is the eigen decomposition of the graph Laplacian matrix to extract its leading eigenvectors, where is the desired number of clusters among objects. This is pro…
The paper explores the problem of \emph{spectral compressed sensing}, which aims to recover a spectrally sparse signal from a small random subset of its time domain samples. The signal of interest is assumed to be a superposition of multi-dimensional complex sinusoids, while the underlying frequencies can assum…
Study uncovers scaling laws and spectral properties of shallow neural networks.
Lossless compression of deep neural networks using NTK and RMT.
New method identifies latent treatment effects from proxy models.
Bayesian model reconstructs time and frequency data robustly.
We propose a method for inferring the conditional indepen- dence graph (CIG) of a high-dimensional discrete-time Gaus- sian vector random process from finite-length observations. Our approach does not rely on a parametric model (such as, e.g., an autoregressive model) for the vector random process; rather, it only assu…
The current trend of pushing CNNs deeper with convolutions has created a pressing demand to achieve higher compression gains on CNNs where convolutions dominate the computation and parameter amount (e.g., GoogLeNet, ResNet and Wide ResNet). Further, the high energy consumption of convolutions limits its deployment on m…
WildCat efficiently compresses neural network attention mechanisms.
DeepCMC compresses CSI for massive MIMO systems, reducing overhead and improving performance.
ReduNet optimizes data compression by maximizing rate reduction in deep networks.
The paper studies the problem of recovering a spectrally sparse object from a small number of time domain samples. Specifically, the object of interest with ambient dimension is assumed to be a mixture of complex multi-dimensional sinusoids, while the underlying frequencies can assume any value in the unit disk…
Spectral embedding based on the Singular Value Decomposition (SVD) is a widely used "preprocessing" step in many learning tasks, typically leading to dimensionality reduction by projecting onto a number of dominant singular vectors and rescaling the coordinate axes (by a predefined function of the singular value). Howe…
Spectral clustering has become a popular technique due to its high performance in many contexts. It comprises three main steps: create a similarity graph between N objects to cluster, compute the first k eigenvectors of its Laplacian matrix to define a feature vector for each object, and run k-means on these features t…
Diffusion maps are a commonly used kernel-based method for manifold learning, which can reveal intrinsic structures in data and embed them in low dimensions. However, as with most kernel methods, its implementation requires a heavy computational load, reaching up to cubic complexity in the number of data points. This l…
Massive multiple-input multiple-output (MIMO) systems require downlink channel state information (CSI) at the base station (BS) to better utilize the available spatial diversity and multiplexing gains. However, in a frequency division duplex (FDD) massive MIMO system, CSI feedback overhead degrades the overall spectral…
This paper studies a theoretical pruning method for RNNs to reduce computational costs.
Recent research in off-the-grid compressed sensing (CS) has demonstrated that, under certain conditions, one can successfully recover a spectrally sparse signal from a few time-domain samples even though the dictionary is continuous. In particular, atomic norm minimization was proposed in \cite{tang2012csotg} to recove…
Power spectral density (PSD) maps providing the distribution of RF power across space and frequency are constructed using power measurements collected by a network of low-cost sensors. By introducing linear compression and quantization to a small number of bits, sensor measurements can be communicated to the fusion cen…
Spectral clustering refers to a family of unsupervised learning algorithms that compute a spectral embedding of the original data based on the eigenvectors of a similarity graph. This non-linear transformation of the data is both the key of these algorithms' success and their Achilles heel: forming a graph and computin…
Scientific discovery is limited by hypothesis redundancy, and hybrid methods can exploit non-local exploration.
Neural networks learn spectral representations for group composition.
We propose a graph spectral representation of time series data that 1) is parsimoniously encoded to user-demanded resolution; 2) is unsupervised and performant in data-constrained scenarios; 3) captures event and event-transition structure within the time series; and 4) has near-linear computational complexity in both …
Optimal spectral initializers impact phase retrieval phase transitions.
Unified approach for interpretable regression with flexible modeling.
Flexible framework compresses models using LC algorithm.
Reduces multiclass and regression compression schemes to binary ones.
Proposes a link between randomness and compression in deep learning.
Paper introduces a new adaptive gradient method with gradient compression for distributed training.
Galen algorithm compresses neural networks for specific hardware with reduced latency.