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We introduce Riemannian Lyapunov Optimizers (RLOs), a family of optimization algorithms that unifies classic optimizers within one geometric framework. Unlike heuristic improvements to existing optimizers, RLOs are systematically derived…

Machine Learning · Computer Science 2026-02-02 Yixuan Wang , Omkar Sudhir Patil , Warren E. Dixon

Manifolds occur naturally as configuration spaces of robotic systems. They provide global descriptions of local coordinate systems that are common tools in expressing positions of robots. The purpose of this survey is threefold. Firstly, we…

Geometric Topology · Mathematics 2024-02-13 Stephan Mescher

Combinatorial optimization problems are prevalent across a wide variety of domains. These problems are often nuanced, their optimal solutions might not be efficiently obtainable, and they may require lots of time and compute resources to…

Machine Learning · Computer Science 2025-07-03 Akshay Sathiya , Rohit Pandey

Adaptive stochastic gradient algorithms in the Euclidean space have attracted much attention lately. Such explorations on Riemannian manifolds, on the other hand, are relatively new, limited, and challenging. This is because of the…

Machine Learning · Computer Science 2019-07-01 Hiroyuki Kasai , Pratik Jawanpuria , Bamdev Mishra

Recent work has shown that Field-Programmable Gate Arrays (FPGAs) play an important role in the acceleration of Machine Learning applications. Initial specification of machine learning applications are often done using a high-level…

Machine Learning · Computer Science 2018-07-17 Daniel H. Noronha , Bahar Salehpour , Steven J. E. Wilton

We present ktrain, a low-code Python library that makes machine learning more accessible and easier to apply. As a wrapper to TensorFlow and many other libraries (e.g., transformers, scikit-learn, stellargraph), it is designed to make…

Machine Learning · Computer Science 2022-04-07 Arun S. Maiya

Learning-to-Rank deals with maximizing the utility of a list of examples presented to the user, with items of higher relevance being prioritized. It has several practical applications such as large-scale search, recommender systems,…

TF.Learn is a high-level Python module for distributed machine learning inside TensorFlow. It provides an easy-to-use Scikit-learn style interface to simplify the process of creating, configuring, training, evaluating, and experimenting a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-14 Yuan Tang

Small and wide angle x-ray scattering tensor tomography are powerful methods for studying anisotropic nanostructures in a volume-resolved manner, and are becoming increasingly available to users of synchrotron facilities. The analysis of…

Materials Science · Physics 2025-04-24 Leonard C. Nielsen , Mads Carlsen , Sici Wang , Arthur Baroni , Torne Tänzer , Marianne Liebi , Paul Erhart

A major factor contributing to the success of modern representation learning is the ease of performing various vector operations. Recently, objects with geometric structures (eg. distributions, complex or hyperbolic vectors, or regions such…

Computation and Language · Computer Science 2021-09-13 Tejas Chheda , Purujit Goyal , Trang Tran , Dhruvesh Patel , Michael Boratko , Shib Sankar Dasgupta , Andrew McCallum

We propose a new architecture for optimization modeling frameworks in which solvers are expressed as computation graphs in a framework like TensorFlow rather than as standalone programs built on a low-level linear algebra interface. Our new…

Optimization and Control · Mathematics 2016-10-12 Matt Wytock , Steven Diamond , Felix Heide , Stephen Boyd

Many recent machine learning models rely on fine-grained dynamic control flow for training and inference. In particular, models based on recurrent neural networks and on reinforcement learning depend on recurrence relations, data-dependent…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-09 Yuan Yu , Martín Abadi , Paul Barham , Eugene Brevdo , Mike Burrows , Andy Davis , Jeff Dean , Sanjay Ghemawat , Tim Harley , Peter Hawkins , Michael Isard , Manjunath Kudlur , Rajat Monga , Derek Murray , Xiaoqiang Zheng

We introduce giotto-tda, a Python library that integrates high-performance topological data analysis with machine learning via a scikit-learn-compatible API and state-of-the-art C++ implementations. The library's ability to handle various…

This paper considers a stochastic optimization problem over the fixed point sets of quasinonexpansive mappings on Riemannian manifolds. The problem enables us to consider Riemannian hierarchical optimization problems over complicated sets,…

Optimization and Control · Mathematics 2020-12-18 Hideaki Iiduka , Hiroyuki Sakai

Limbo is an open-source C++11 library for Bayesian optimization which is designed to be both highly flexible and very fast. It can be used to optimize functions for which the gradient is unknown, evaluations are expensive, and runtime cost…

Machine Learning · Computer Science 2016-11-23 Antoine Cully , Konstantinos Chatzilygeroudis , Federico Allocati , Jean-Baptiste Mouret

Manifold learning has been proven to be an effective method for capturing the implicitly intrinsic structure of non-Euclidean data, in which one of the primary challenges is how to maintain the distortion-free (isometry) of the data…

Machine Learning · Computer Science 2024-09-24 Zihao Chen , Wenyong Wang , Yu Xiang

We present \texttt{MathOptAI.jl}, an open-source Julia library for embedding trained machine learning predictors into a JuMP model. \texttt{MathOptAI.jl} can embed a wide variety of neural networks, decision trees, and Gaussian Processes…

Machine Learning · Computer Science 2026-05-26 Oscar Dowson , Robert B Parker , Russel Bent

We introduce Merlion, an open-source machine learning library for time series. It features a unified interface for many commonly used models and datasets for anomaly detection and forecasting on both univariate and multivariate time series,…

Learning in Riemannian orbifolds is motivated by existing machine learning algorithms that directly operate on finite combinatorial structures such as point patterns, trees, and graphs. These methods, however, lack statistical…

Machine Learning · Computer Science 2012-04-20 Brijnesh J. Jain , Klaus Obermayer

Graphs are ubiquitous, and learning on graphs has become a cornerstone in artificial intelligence and data mining communities. Unlike pixel grids in images or sequential structures in language, graphs exhibit a typical non-Euclidean…

Machine Learning · Computer Science 2026-02-12 Li Sun , Qiqi Wan , Suyang Zhou , Zhenhao Huang , Philip S. Yu
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