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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.

169,051 papers · 148 categories

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4284125167 · Jun 202019922001200920182026
48 results for LDPC Coding

Paper uses RNNs to design LDPC codes for binary erasure channels.

problem Designing capacity-approaching LDPC codes for binary erasure channels.
method Model Density Evolution using RNNs to determine LDPC code coefficients and structure.
result NDE improves LDPC design performance and complexity compared to differential evolution.

Paper proposes neural network for LDPC coded DCO-OFDM with clipping distortion.

problem Mitigating nonlinear clipping distortion in LDPC coded DCO-OFDM systems.
method Designs a neural network-aided bit-interleaved coded modulation (NN-BICM) receiver to improve log-likelihood ratio (LLR) through backpropagation training.
result Neural network-aided receiver achieves noticeable performance gains over other methods.

New fault-tolerant quantum gates for homological LDPC codes with constant or almost-constant rate.

problem Fault-tolerant quantum computing for homological LDPC codes with constant or almost-constant encoding rate.
method Derive generic formula for transversal and logical gates acting on 3-manifolds, using higher symmetries and cup product cohomology.
result Parallelizable logical gates for homological LDPC codes with constant or almost-constant rate.

This paper considers the problem of implementing large-scale gradient descent algorithms in a distributed computing setting in the presence of {\em straggling} processors. To mitigate the effect of the stragglers, it has been previously proposed to encode the data with an erasure-correcting code and decode at the maste…

2018-05-22abs ↗pdf ↗

We use Khovanov homology to define families of LDPC quantum error-correcting codes: unknot codes with asymptotical parameters [[3^(2l+1)/sqrt(8πl);1;2^l]]; unlink codes with asymptotical parameters [[sqrt(2/2πl)6^l;2^l;2^l]] and (2,l)-torus link codes with asymptotical parameters [[n;1;d_n]] where d_n>\sqrt(n)/1.62.

2013-07-17abs ↗pdf ↗

New quantum code breaks distance barrier with transversal non-Clifford gates.

problem Breaking the sqrt(N) distance barrier for quantum LDPC codes.
method Combining three qLDPC codes, Freedman-Hastings mapping, and triple cup product.
result Achieves Ω(N^(2/3)) distance and Θ(N^(2/3)) dimension, enabling fault-tolerant magic state preparation.

New method uses VAEs for blind channel equalization and decoding.

problem Blind channel equalization and decoding without pilot symbols.
method Variational autoencoders (VAEs) for blind channel equalization and decoding.
result Significant improvement in error rate compared to existing methods.

Deep learning compresses L-values for QAM symbols, reducing memory and improving performance.

problem Efficiently storing log-likelihood ratios (L-values) for QAM modulation.
method A deep autoencoder that jointly compresses and reconstructs L-values with a weighted loss function.
result Reduces memory footprint by up to two times with less than 0.1 dB performance loss.

Topological theory for qLDPC codes enables non-Clifford gates and magic state injection.

problem Fault-tolerant quantum computation in qLDPC codes with non-Clifford gates and magic state resources.
method Developed a topological theory using simplicial or CW complex structures and deformation retraction.
result Achieved non-Clifford gates and magic state injection in qLDPC codes with constant rate and polynomial distance.

Low-density parity-check codes, a class of capacity-approaching linear codes, are particularly recognized for their efficient decoding scheme. The decoding scheme, known as the sum-product, is an iterative algorithm consisting of passing messages between variable and check nodes of the factor graph. The sum-product alg…

2014-05-25abs ↗pdf ↗

Deep learning compresses and quantizes log-likelihood ratios for fading channels.

problem Efficiently compress and quantize log-likelihood ratios for fading channels.
method Trains a deep autoencoder network to map log-likelihood ratios to a latent space and reconstruct them.
result Achieves a compression factor of nearly three times with minimal performance loss.

Paper proposes a new detector for SSDs with ICI, reducing bit error rates significantly.

problem Reducing bit error rate in SSDs with inter-cell interference.
method Proposes a novel channel model and uses sum-product algorithm for accurate posterior distributions, then passes them to a soft LDPC decoder. Introduces an iterative scheme to improve performance in quantized cases.
result Significant reduction in bit error rate, reaching 99.99% in simulations with strong diagonal coupling.

TreeCaps improves code comprehension for software developers.

problem Processing code efficiently for software developers.
method Tree-based capsule networks for capturing code syntactical structures and dependencies.
result TreeCaps outperforms other approaches in classifying program functionalities.

Paper proposes graph-based separable transforms for video coding.

problem Improving video coding efficiency by better capturing residual block statistics.
method Derives graph-based separable transforms (GBSTs) from line graphs with weights determined by parameters.
result GBSTs achieve about 0.4% average coding gain over existing transforms in VVC.

Contrastive Code Representation Learning improves code summarization and type inference.

problem Code representations are sensitive to edits, hindering downstream semantic understanding tasks.
method ContraCode: a contrastive pre-training task that learns code functionality.
result Contrastive pre-training improves code summarization and type inference accuracy.

Deep neural network predicts semantic labels for source code.

problem Difficulty in labeling and understanding new programming languages and functionalities.
method Language-agnostic deep convolutional neural network trained on Stack Overflow code snippets.
result Mean area under ROC of 0.957 and top-1 accuracy of 86.6% on Github code documents.

This work tackles runtime complexity prediction for code, using machine learning and a new dataset.

problem Predicting runtime complexity of code is hard and mathematically impossible.
method Modelled as a machine learning task, using feature engineering and code embeddings, with a new dataset.
result Achieved state-of-the-art results in runtime complexity prediction.

SLM models code syntax as trees to generate any programming language code.

problem Generating any piece of code in a given language without restrictions.
method Structural language modeling (SLM) decomposes code into ASTs and estimates probabilities over nodes.
result SLM model generates arbitrary code in any language, outperforming previous methods.

Investigates neural codes and their embeddings, proving conjectures and introducing new code types.

problem Analyzing neural codes and their embedding dimensions.
method Combinatorial, topological, and algebraic analysis; proving conjectures; introducing new neural code types.
result Proves conjectures about neural codes and their embeddings, introduces new code types.

Sparse coding approximates the data sample as a sparse linear combination of some basic codewords and uses the sparse codes as new presentations. In this paper, we investigate learning discriminative sparse codes by sparse coding in a semi-supervised manner, where only a few training samples are labeled. By using the m…

2013-11-26abs ↗pdf ↗

Inspired by recent work on convex formulations of clustering (Lashkari & Golland, 2008; Nowozin & Bakir, 2008) we investigate a new formulation of the Sparse Coding Problem (Olshausen & Field, 1997). In sparse coding we attempt to simultaneously represent a sequence of data-vectors sparsely (i.e. sparse approximation (…

2012-05-09abs ↗pdf ↗

Gradient codes use block designs to resist adversarial stragglers in distributed computing.

problem Mitigating slow machines (stragglers) in distributed gradient-based methods.
method Gradient coding based on balanced incomplete block designs (BIBDs) to resist adversarial selection of stragglers.
result Adversarial stragglers have no advantage over random selection, and codes based on symmetric BIBDs maximize the adversarial threshold.

We introduce new definitions of universal and superuniversal computable codes, which are based on a code's ability to approximate Kolmogorov complexity within the prescribed margin for all individual sequences from a given set. Such sets of sequences may be singled out almost surely with respect to certain probability …

2009-01-15abs ↗pdf ↗

Gradient coding is a technique for straggler mitigation in distributed learning. In this paper we design novel gradient codes using tools from classical coding theory, namely, cyclic MDS codes, which compare favorably with existing solutions, both in the applicable range of parameters and in the complexity of the invol…

2017-07-12abs ↗pdf ↗

The design of codes for communicating reliably over a statistically well defined channel is an important endeavor involving deep mathematical research and wide-ranging practical applications. In this work, we present the first family of codes obtained via deep learning, which significantly beats state-of-the-art codes …

2018-07-02abs ↗pdf ↗

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.

We discuss Gauss codes of virtual diagrams and virtual doodles. The notion of a left canonical Gauss code is introduced and it is shown that oriented virtual doodles are uniquely presented by left canonical Gauss codes.

2018-06-15abs ↗pdf ↗

Paper presents a code authorship attribution attack using adversarial learning.

problem Misleading attribution of source code using machine learning methods.
method Exploits adversarial examples and semantics-preserving code transformations guided by Monte-Carlo tree search.
result Demonstrates substantial effect on attribution methods, reducing accuracy from over 88% to 1%.