torchnet - framework for torch which provides a set of abstractions aiming at encouraging code re-use as well as encouraging modular programming.

Torch | Scientific computing for LuaJIT.

Torch is a scientific computing framework for lua jit

cephes - Cephes mathematical functions library, wrapped for Torch. Provides and wraps the 180+ special mathematical functions from the Cephes mathematical library, developed by Stephen L. Moshier. It is used, among many other places, at the heart of SciPy.

autograd - Autograd automatically differentiates native Torch code. Inspired by the original Python version.

graph - Graph package for Torch.

randomkit - Numpy's randomkit, wrapped for Torch.

signal - A signal processing toolbox for Torch-7. FFT, DCT, Hilbert, cepstrums, stft.

nn - Neural Network package for Torch.

nngraph - This package provides graphical computation for nn library in Torch7.

nnx - A completely unstable and experimental package that extends Torch's builtin nn library.

rnn - A Recurrent Neural Network library that extends Torch's nn. RNNs, LSTMs, GRUs, BRNNs, BLSTMs, etc.

dpnn - Many useful features that aren't part of the main nn package.

dp - A deep learning library designed for streamlining research and development using the Torch7 distribution. It emphasizes flexibility through the elegant use of object-oriented design patterns.

optim - An optimization library for Torch. SGD, Adagrad, Conjugate-Gradient, LBFGS, RProp and more.

unsup - A package for unsupervised learning in Torch. Provides modules that are compatible with nn (LinearPsd, ConvPsd, AutoEncoder, …), and self-contained algorithms (k-means, PCA).

manifold - A package to manipulate manifolds.

svm - Torch-SVM library.

lbfgs - FFI Wrapper for liblbfgs.

vowpalwabbit - An old vowpalwabbit interface to torch.

OpenGM - OpenGM is a C++ library for graphical modeling, and inference. The Lua bindings provide a simple way of describing graphs, from Lua, and then optimizing them with OpenGM.

spaghetti - Spaghetti (sparse linear) module for torch7 by @MichaelMathieu

LuaSHKit - A lua wrapper around the Locality sensitive hashing library SHKit

kernel smoothing - KNN, kernel-weighted average, local linear regression smoothers.

cutorch - Torch CUDA Implementation.

cunn - Torch CUDA Neural Network Implementation.

imgraph - An image/graph library for Torch. This package provides routines to construct graphs on images, segment them, build trees out of them, and convert them back to images.

videograph - A video/graph library for Torch. This package provides routines to construct graphs on videos, segment them, build trees out of them, and convert them back to videos.

saliency - code and tools around integral images. A library for finding interest points based on fast integral histograms.

stitch - allows us to use hugin to stitch images and apply same stitching to a video sequence.

sfm - A bundle adjustment/structure from motion package.

fex - A package for feature extraction in Torch. Provides SIFT and dSIFT modules.

OverFeat - A state-of-the-art generic dense feature extractor.

wav2letter - a simple and efficient end-to-end Automatic Speech Recognition (ASR) system from Facebook AI Research.

Numeric Lua

Lunatic Python - Labix

SciLua

Sci lua scientific computing with lua jit

Lua - Numerical Algorithms