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We introduce a new method of performing high dimensional discriminant analysis, which we call multiDA. We achieve this by constructing a hybrid model that seamlessly integrates a multiclass diagonal discriminant analysis model and feature…

Machine Learning · Statistics 2018-07-05 Sarah Elizabeth Romanes , John Thomas Ormerod , Jean YH Yang

Datatype-generic programming increases program abstraction and reuse by making functions operate uniformly across different types. Many approaches to generic programming have been proposed over the years, most of them for Haskell, but…

Programming Languages · Computer Science 2012-02-15 José Pedro Magalhães , Andres Löh

Convolutional sparse coding improves on the standard sparse approximation by incorporating a global shift-invariant model. The most efficient convolutional sparse coding methods are based on the alternating direction method of multipliers…

Machine Learning · Computer Science 2022-02-09 Farshad G. Veshki , Sergiy A. Vorobyov

For scientific machine learning tasks with a lot of custom code, picking the right Automatic Differentiation (AD) system matters. Our Julia package DifferentiationInterface$.$jl provides a common frontend to a dozen AD backends, unlocking…

Mathematical Software · Computer Science 2025-05-19 Guillaume Dalle , Adrian Hill

Graph Edit Distance (GED) is a popular similarity measurement for pairwise graphs and it also refers to the recovery of the edit path from the source graph to the target graph. Traditional A* algorithm suffers scalability issues due to its…

Machine Learning · Computer Science 2020-12-03 Runzhong Wang , Tianqi Zhang , Tianshu Yu , Junchi Yan , Xiaokang Yang

Conventional unsupervised anomaly detection (UAD) methods build separate models for each object category. Recent studies have proposed to train a unified model for multiple classes, namely model-unified UAD. However, such methods still…

Computer Vision and Pattern Recognition · Computer Science 2024-04-17 Jia Guo , Haonan Han , Shuai Lu , Weihang Zhang , Huiqi Li

Reverse-mode automatic differentiation (AD) suffers from the issue of having too much space overhead to trace back intermediate computational states for back-propagation. The traditional method to trace back states is called checkpointing…

Programming Languages · Computer Science 2021-02-02 Jin-Guo Liu , Taine Zhao

Temporal action detection (TAD) aims to detect the semantic labels and boundaries of action instances in untrimmed videos. Current mainstream approaches are multi-step solutions, which fall short in efficiency and flexibility. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-04-07 Shimin Chen , Chen Chen , Wei Li , Xunqiang Tao , Yandong Guo

In this paper, as opposed to the random phase masks, the structured illuminations with a pixel-dependent deterministic phase shift are considered to derandomize the model setup. The RAAR algorithm is modified to adapt to two or more…

Numerical Analysis · Mathematics 2017-02-01 Ji Li , Tie Zhou

A run of the deferred acceptance (DA) algorithm may contain proposals that are sure to be rejected. We introduce the accelerated deferred acceptance algorithm that proceeds in a similar manner to DA but with sure-to-be rejected proposals…

Theoretical Economics · Economics 2024-09-13 Gregory Z. Gutin , Daniel Karapetyan , Philip R. Neary , Alexander Vickery , Anders Yeo

This paper presents our work toward correct and efficient automatic differentiation of OpenMP parallel worksharing loops in forward and reverse mode. Automatic differentiation is a method to obtain gradients of numerical programs, which are…

Mathematical Software · Computer Science 2021-11-04 Jan Hückelheim , Laurent Hascoët

While pretrained language models achieve excellent performance on natural language understanding benchmarks, they tend to rely on spurious correlations and generalize poorly to out-of-distribution (OOD) data. Recent work has explored using…

Computation and Language · Computer Science 2022-03-17 Nitish Joshi , He He

The generation speed of LLMs are bottlenecked by autoregressive decoding, where tokens are predicted sequentially one by one. Alternatively, diffusion large language models (dLLMs) theoretically allow for parallel token generation, but in…

Computation and Language · Computer Science 2025-11-03 Daniel Israel , Guy Van den Broeck , Aditya Grover

We focus on Partial Differential Equation (PDE) based Data Assimilatio problems (DA) solved by means of variational approaches and Kalman filter algorithm. Recently, we presented a Domain Decomposition framework (we call it DD-DA, for…

Machine Learning · Computer Science 2022-04-01 Rosalba Cacciapuoti , Luisa D'Amore

We study two practically important cases of model based clustering using Gaussian Mixture Models: (1) when there is misspecification and (2) on high dimensional data, in the light of recent advances in Gradient Descent (GD) based…

Machine Learning · Statistics 2020-07-28 Siva Rajesh Kasa , Vaibhav Rajan

Modelers use automatic differentiation (AD) of computation graphs to implement complex Deep Learning models without defining gradient computations. Stochastic AD extends AD to stochastic computation graphs with sampling steps, which arise…

Machine Learning · Statistics 2021-10-27 Emile van Krieken , Jakub M. Tomczak , Annette ten Teije

Factor analysis and principal component analysis (PCA) are used in many application areas. The first step, choosing the number of components, remains a serious challenge. Our work proposes improved methods for this important problem. One of…

Methodology · Statistics 2019-09-17 Edgar Dobriban , Art B. Owen

In 2021, Casares, Colcombet and Fijalkow introduced the Alternating Cycle Decomposition (ACD), a structure used to define optimal transformations of Muller into parity automata and to obtain theoretical results about the possibility of…

Formal Languages and Automata Theory · Computer Science 2024-07-01 Antonio Casares , Corto Mascle

Dictionary learning algorithms have been successfully used for both reconstructive and discriminative tasks, where an input signal is represented with a sparse linear combination of dictionary atoms. While these methods are mostly developed…

Machine Learning · Statistics 2016-01-20 Soheil Bahrampour , Nasser M. Nasrabadi , Asok Ray , W. Kenneth Jenkins

DiffSharp is an algorithmic differentiation or automatic differentiation (AD) library for the .NET ecosystem, which is targeted by the C# and F# languages, among others. The library has been designed with machine learning applications in…

Mathematical Software · Computer Science 2016-11-11 Atılım Güneş Baydin , Barak A. Pearlmutter , Jeffrey Mark Siskind