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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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2575147711,028 · Jun 202019922001200920172026
48 results for sparse networks

This paper explores loss landscapes of sparse neural networks, finding unique characteristics compared to dense networks.

problem Understanding the loss landscape of sparse neural networks, especially one-hidden-layer networks.
method Analyzes sparse networks with dense and sparse final layers, focusing on linear and non-linear models.
result Sparse networks can have no spurious valleys under certain conditions, but spurious valleys and minima can exist for wide sparse networks.

This work introduces a method to compare sparse neural network topologies using graph theory.

problem Comparing and understanding sparse neural network topologies, especially during training.
method Introducing Neural Network Sparse Topology Distance (NNSTD) to measure distances between different sparse neural networks.
result Sparse neural networks can outperform over-parameterized models without further structure optimization.

Guarantees sparse recovery for neural networks with iterative hard thresholding.

problem Recovering sparse network weights in neural networks.
method Structural properties of sparse network weights and iterative hard thresholding algorithm.
result Simple iterative hard thresholding algorithm recovers sparse network weights exactly using linear memory.

Sparse deep neural networks(DNNs) are efficient in both memory and compute when compared to dense DNNs. But due to irregularity in computation of sparse DNNs, their efficiencies are much lower than that of dense DNNs on regular parallel hardware such as TPU. This inefficiency leads to poor/no performance benefits for s…

2018-08-10abs ↗pdf ↗

This paper considers the growth in the length of one-dimensional trajectories as they are passed through deep ReLU neural networks, which, among other things, is one measure of the expressivity of deep networks. We generalise existing results, providing an alternative, simpler method for lower bounding expected traject…

2019-11-25abs ↗pdf ↗

SnAp approximates RTRL for online training of sparse recurrent networks.

problem Training large sparse recurrent networks online is computationally expensive.
method Sparse n-step Approximation (SnAp) of the RTRL influence matrix.
result SnAp with n=2 remains tractable for highly sparse networks and outperforms backpropagation through time.

We consider the classical sparse regression problem of recovering a sparse signal x0x_0 given a measurement vector y=Φx0+wy = Φx_0+w. We propose a tree search algorithm driven by the deep neural network for sparse regression (TSN). TSN improves the signal reconstruction performance of the deep neural network designed for sp…

2019-04-01abs ↗pdf ↗

Improvements in the performance of deep neural networks have often come through the design of larger and more complex networks. As a result, fast memory is a significant limiting factor in our ability to improve network performance. One approach to overcoming this limit is the design of sparse neural networks, which ca…

2018-09-30abs ↗pdf ↗

The sizes of deep neural networks (DNNs) are rapidly outgrowing the capacity of hardware to store and train them. Research over the past few decades has explored the prospect of sparsifying DNNs before, during, and after training by pruning edges from the underlying topology. The resulting neural network is known as a …

2019-04-30abs ↗pdf ↗

We present a transductive deep learning-based formulation for the sparse representation-based classification (SRC) method. The proposed network consists of a convolutional autoencoder along with a fully-connected layer. The role of the autoencoder network is to learn robust deep features for classification. On the othe…

2019-04-24abs ↗pdf ↗

Sparse-penalized deep neural networks improve performance in weakly dependent processes.

problem Nonparametric regression and classification under weak dependence.
method Sparse-penalized deep neural networks with oracle inequalities and convergence rates established.
result The proposed estimators outperform non-penalized ones in simulations.

Many applications require sparse neural networks due to space or inference time restrictions. There is a large body of work on training dense networks to yield sparse networks for inference, but this limits the size of the largest trainable sparse model to that of the largest trainable dense model. In this paper we int…

2019-11-25abs ↗pdf ↗

Graph neural networks have become increasingly popular in recent years due to their ability to naturally encode relational input data and their ability to scale to large graphs by operating on a sparse representation of graph adjacency matrices. As we look to scale up these models using custom hardware, a natural assum…

2019-06-27abs ↗pdf ↗

The sizes of deep neural networks (DNNs) are rapidly outgrowing the capacity of hardware to store and train them. Research over the past few decades has explored the prospect of sparsifying DNNs before, during, and after training by pruning edges from the underlying topology. The resulting neural network is known as a …

2018-09-14abs ↗pdf ↗

Graph neural networks improve AMG convergence for sparse systems.

problem Efficiently constructing algebraic multigrid prolongation operators for sparse linear systems.
method Train a graph neural network to learn prolongation operators from matrix classes, using an unsupervised loss function.
result Improved convergence rates compared to classical AMG methods.

Sparse activations in neural networks are hard to exploit but lead to advantages in learning.

problem Sparse activations in neural networks are hard to exploit but lead to advantages in learning.
method Formal study of PAC learnability of MLP layers with activation sparsity.
result Classes of functions with activation sparsity lead to provable computational and statistical advantages over their non-sparse counterparts.

Recent work on deep neural network pruning has shown there exist sparse subnetworks that achieve equal or improved accuracy, training time, and loss using fewer network parameters when compared to their dense counterparts. Orthogonal to pruning literature, deep neural networks are known to be susceptible to adversarial…

2019-12-05abs ↗pdf ↗

Sparse spectral decomposition identifies overlapping communities in networks.

problem Estimating overlapping community memberships in networks where nodes can belong to multiple communities.
method Sparse principal subspace estimation with iterative thresholding.
result The fixed point of the algorithm corresponds to correct node memberships under the stochastic block model.

New method uses sparse deep neural networks for high-dimensional regression with improved parameter estimation.

problem Improving parameter estimation in high-dimensional sparse regression models.
method Proposes nonparametric estimation of partial derivatives in sparse deep neural networks.
result Established convergence rate of nonparametric estimation of partial derivatives as O(n1/4)\mathcal{O}(n^{-1/4}).

New CRM models for sparse networks with linear edge growth.

problem Modeling extremely sparse networks with tractable properties.
method Introduced a new class of CRMs with index of variation α∈(0,1] based on mixtures of stable or generalized gamma processes.
result Models produce networks with near-linear edge growth, aligning with empirical evidence.

This paper explores efficient neural networks by identifying sparse structures.

problem Reducing computational complexity in neural networks without sacrificing accuracy.
method Identifying and utilizing sparse structures in neural network weights and activations.
result Large and sparse models are more beneficial for practical problems.

Proposes a method to learn sparse deep neural networks with theoretical guarantees.

problem Over-parameterized deep neural networks cause training, prediction, and interpretation difficulties.
method Frequentist-like method for sparse DNNs under Bayesian framework.
result Consistent sparse DNNs with at most O(n/log(n))O(n/\log(n)) connections.

Paper improves DOA estimation in sparse arrays using Siamese neural networks.

problem Challenges in DOA estimation with limited snapshots in sparse linear arrays.
method Introduces a Siamese neural network with a sparse augmentation layer for enhanced signal feature embedding.
result Demonstrates improved DOA estimation accuracy in sparse arrays.

We propose Sparse Neural Network architectures that are based on random or structured bipartite graph topologies. Sparse architectures provide compression of the models learned and speed-ups of computations, they can also surpass their unstructured or fully connected counterparts. As we show, even more compact topologi…

2017-06-18abs ↗pdf ↗

Sparse hypergraph neural networks improve reasoning in large knowledge graphs.

problem Reasoning about relationships in large, real-world domains using sparse and local inferences.
method Sparse and local hypergraph neural networks (SpaLoc) exploiting relational inferences that are usually local and sparse.
result State-of-the-art performance on real-world knowledge graph reasoning benchmarks.

Paper develops efficient variational inference for sparse deep learning with theoretical guarantees.

problem Sparse deep learning's challenge of huge storage consumption and sparse structure recovery.
method Bayesian treatment with spike-and-slab priors and continuous relaxation of Bernoulli distribution for computationally efficient variational inferences.
result Provides variational posterior contraction rate, justifying consistency of the proposed method.

FedDST trains sparse sub-networks to improve efficiency in federated learning.

problem Efficiently train large models on resource-limited edge devices with limited network bandwidth.
method Dynamic sparse training to reduce model size and communication.
result FedDST outperforms existing methods in federated learning, especially in non-i.i.d. settings.

Sparse codes improve optimal control tasks with correlated inputs.

problem Optimal control tasks with correlated feature inputs.
method Used a sparse code to represent natural images in an optimal control task solved with neuro-dynamic programming.
result An over-complete sparse code increases memory capacity and learning speed beyond a complete code.

Neuromorphic hardware tends to pose limits on the connectivity of deep networks that one can run on them. But also generic hardware and software implementations of deep learning run more efficiently for sparse networks. Several methods exist for pruning connections of a neural network after it was trained without conne…

2017-11-14abs ↗pdf ↗

Paper proposes an efficient algorithm for learning sparse Bayesian networks from discrete high-dimensional data.

problem Learning sparse structure Bayesian networks from high-dimensional discrete data.
method Score function for sparse DAG, block-wise stochastic coordinate descent with variance reduction.
result The proposed algorithm outperforms existing methods in synthetic data benchmarks.

Paper solves k-sparse parity problem with sign SGD, matching SQ lower bound.

problem Solving k-sparse parity problems efficiently.
method Sign stochastic gradient descent on neural networks.
result Matches Statistical Query lower bound for solving k-sparse parity problems.