Unsloth Website

+ Microsoft, UW, UC Berkeley, Greece, NVIDIA

• Microsoft: Yu et al. Making Classical Machine Learning Pipelines Differentiable http://learningsys.org/nips18/assets/papers/45CameraReadySubmissionfinetune.pdf
• University of Washington: Ariel Rokem, Kendrick Kay. Fractional ridge regression: a fast, interpretable reparameterization of ridge regression https://arxiv.org/abs/2005.03220
• National Center for Scientific Research 'Demokritos', Greece: Christos Platias, Georgios Petasis. A Comparison of Machine Learning Methods for Data Imputation https://dl.acm.org/doi/10.1145/3411408.3411465
• UC Berkeley David Chan. GPU Accelerated T-Distributed Stochastic Neighbor Embedding https://digitalassets.lib.berkeley.edu/techreports/ucb/incoming/EECS-2020-89.pdf (Incorporated Hyperlearn methods into NVIDIA RAPIDS TSNE)
• NVIDIA: Raschka et al. RAPIDS: Machine Learning in Python: Main developments and technology trends in data science, machine learning, and artificial intelligence https://arxiv.org/abs/2002.04803 (Incorporated Hyperlearn methods into NVIDIA RAPIDS TSNE)

+ NASA + Facebook's Pytorch, Scipy, Cupy, NVIDIA, UNSW

• Facebook's Pytorch: SVD very very slow and GELS gives nans, -inf #11174 pytorch/pytorch#11174
• Scipy: EIGH very very slow --> suggesting an easy fix #9212 scipy/scipy#9212
• Cupy: Make SVD overwrite temporary array x cupy/cupy#2277
• NVIDIA: Accelerating TSNE with GPUs: From hours to seconds https://medium.com/rapids-ai/tsne-with-gpus-hours-to-seconds-9d9c17c941db
• UNSW Abdussalam et al. Large-scale Sku-level Product Detection In Social Media Images And Sales Performance https://www.abstractsonline.com/pp8/#!/9305/presentation/465

• GCC 10 ignoring function attribute optimize for all x86 since r11-1019 https://gcc.gnu.org/bugzilla/show_bug.cgi?id=96535
• Vector Extensions aligned(1) not generating unaligned loads/stores https://gcc.gnu.org/bugzilla/show_bug.cgi?id=98317
• GCC >= 6 cannot inline _mm_cmp_ps on SSE targets https://gcc.gnu.org/bugzilla/show_bug.cgi?id=98387
• GCC 10.2 AVX512 Mask regression from GCC 9 https://gcc.gnu.org/bugzilla/show_bug.cgi?id=98348

HyperLearn is written completely in PyTorch, NoGil Numba, Numpy, Pandas, Scipy & LAPACK, C++, C, Python, Cython and Assembly, and mirrors (mostly) Scikit Learn. HyperLearn also has statistical inference measures embedded, and can be called just like Scikit Learn's syntax.

Some key current achievements of HyperLearn:

• 70% less time to fit Least Squares / Linear Regression than sklearn + 50% less memory usage
• 50% less time to fit Non Negative Matrix Factorization than sklearn due to new parallelized algo
• 40% faster full Euclidean / Cosine distance algorithms
• 50% less time LSMR iterative least squares
• New Reconstruction SVD - use SVD to impute missing data! Has .fit AND .transform. Approx 30% better than mean imputation
• 50% faster Sparse Matrix operations - parallelized
• RandomizedSVD is now 20 - 30% faster

Time(s) is Fit + Predict. RAM(mb) = max( RAM(Fit), RAM(Predict) )

I've also added some preliminary results for N = 5000, P = 6000

• Including Memory Sharing, Memory Management
• CUDA Parallelism through PyTorch & Numba

• Matrix Multiplication Ordering: https://en.wikipedia.org/wiki/Matrix_chain_multiplication
• Element Wise Matrix Multiplication reducing complexity to O(n^2) from O(n^3): https://en.wikipedia.org/wiki/Hadamard_product_(matrices)
• Reducing Matrix Operations to Einstein Notation: https://en.wikipedia.org/wiki/Einstein_notation
• Evaluating one-time Matrix Operations in succession to reduce RAM overhead.
• If p>>n, maybe decomposing X.T is better than X.
• Applying QR Decomposition then SVD might be faster in some cases.
• Utilise the structure of the matrix to compute faster inverse (eg triangular matrices, Hermitian matrices).
• Computing SVD(X) then getting pinv(X) is sometimes faster than pure pinv(X)

• Confidence, Prediction Intervals, Hypothesis Tests & Goodness of Fit tests for linear models are optimized.
• Using Einstein Notation & Hadamard Products where possible.
• Computing only what is neccessary to compute (Diagonal of matrix and not entire matrix).
• Fixing the flaws of Statsmodels on notation, speed, memory issues and storage of variables.

• Using PyTorch to create Scikit-Learn like drop in replacements.

• Using Decorators & Functions where possible.
• Intuitive Middle Level Function names like (isTensor, isIterable).
• Handles Parallelism easily through hyperlearn.multiprocessing

• Matrix Completion algorithms - Non Negative Least Squares, NNMF
• Batch Similarity Latent Dirichelt Allocation (BS-LDA)
• Correlation Regression
• Feasible Generalized Least Squares FGLS
• Outlier Tolerant Regression
• Multidimensional Spline Regression
• Generalized MICE (any model drop in replacement)
• Using Uber's Pyro for Bayesian Deep Learning

1. The Apache 2.0 license is adopted.