English
Related papers

Related papers: On Correctness of Automatic Differentiation for No…

200 papers

Finding accurate solutions to partial differential equations (PDEs) is a crucial task in all scientific and engineering disciplines. It has recently been shown that machine learning methods can improve the solution accuracy by correcting…

Computational Physics · Physics 2021-01-06 Kiwon Um , Robert Brand , Yun , Fei , Philipp Holl , Nils Thuerey

In this work we study loss functions for learning and evaluating probability distributions over large discrete domains. Unlike classification or regression where a wide variety of loss functions are used, in the distribution learning and…

Machine Learning · Computer Science 2019-08-05 Nika Haghtalab , Cameron Musco , Bo Waggoner

The purpose of this paper is to present an algorithm for inferring nondeterministic functional transducers. It has a lot in common with other well known algorithms such has RPNI and OSTIA. Indeed we will argue that this algorithm is a…

Formal Languages and Automata Theory · Computer Science 2020-12-11 Aleksander Mendoza-Drosik

All machine learning algorithms use a loss, cost, utility or reward function to encode the learning objective and oversee the learning process. This function that supervises learning is a frequently unrecognized hyperparameter that…

Neural and Evolutionary Computing · Computer Science 2024-11-06 Mathew Mithra Noel , Arindam Banerjee , Yug Oswal , Geraldine Bessie Amali D , Venkataraman Muthiah-Nakarajan

While normalizing flows for continuous data have been extensively researched, flows for discrete data have only recently been explored. These prior models, however, suffer from limitations that are distinct from those of continuous flows.…

Machine Learning · Computer Science 2022-07-06 Mai Elkady , Jim Lim , David I. Inouye

We propose a categorical semantics for machine learning algorithms in terms of lenses, parametric maps, and reverse derivative categories. This foundation provides a powerful explanatory and unifying framework: it encompasses a variety of…

Machine Learning · Computer Science 2024-04-02 Geoffrey S. H. Cruttwell , Bruno Gavranovic , Neil Ghani , Paul Wilson , Fabio Zanasi

We explore a new class of end-to-end learnable models wherein data processing nodes (or network layers) are defined in terms of desired behavior rather than an explicit forward function. Specifically, the forward function is implicitly…

Machine Learning · Computer Science 2021-08-20 Stephen Gould , Richard Hartley , Dylan Campbell

Neural networks are known to be effective function approximators. Recently, deep neural networks have proven to be very effective in pattern recognition, classification tasks and human-level control to model highly nonlinear realworld…

Neural and Evolutionary Computing · Computer Science 2016-10-06 Olalekan Ogunmolu , Xuejun Gu , Steve Jiang , Nicholas Gans

We study the problem of learning differentiable functions expressed as programs in a domain-specific language. Such programmatic models can offer benefits such as composability and interpretability; however, learning them requires…

Machine Learning · Computer Science 2021-03-30 Ameesh Shah , Eric Zhan , Jennifer J. Sun , Abhinav Verma , Yisong Yue , Swarat Chaudhuri

In this paper we propose Discretely Indexed flows (DIF) as a new tool for solving variational estimation problems. Roughly speaking, DIF are built as an extension of Normalizing Flows (NF), in which the deterministic transport becomes…

Machine Learning · Statistics 2022-04-05 Elouan Argouarc'h , François Desbouvries , Eric Barat , Eiji Kawasaki , Thomas Dautremer

The purported "black box" nature of neural networks is a barrier to adoption in applications where interpretability is essential. Here we present DeepLIFT (Deep Learning Important FeaTures), a method for decomposing the output prediction of…

Computer Vision and Pattern Recognition · Computer Science 2019-10-15 Avanti Shrikumar , Peyton Greenside , Anshul Kundaje

We consider learning under the constraint of local differential privacy (LDP). For many learning problems known efficient algorithms in this model require many rounds of communication between the server and the clients holding the data…

Machine Learning · Computer Science 2019-10-29 Amit Daniely , Vitaly Feldman

Time-dependent Partial Differential Equations with given initial conditions are considered in this paper. New differentiation techniques of the unknown solution with respect to time variable are proposed. It is shown that the proposed…

Numerical Analysis · Mathematics 2022-10-24 Marat S. Mukhametzhanov

In recent years significant progress has been made in dealing with challenging problems using reinforcement learning.Despite its great success, reinforcement learning still faces challenge in continuous control tasks. Conventional methods…

Machine Learning · Computer Science 2020-02-04 Longxiang Shi , Shijian Li , Longbing Cao , Long Yang , Gang Zheng , Gang Pan

This paper shows that further evaluation metrics during model training are needed to decide about its applicability in inference. As an example, a LayoutLM-based model is trained for token classification in documents. The documents are…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Anket Mehra , Malte Prieß , Marian Himstedt

Data-driven techniques for machine vision heavily depend on the training data to sufficiently resemble the data occurring during test and application. However, in practice unknown distortion can lead to a domain gap between training and…

Image and Video Processing · Electrical Eng. & Systems 2022-10-25 Maximiliane Gruber , Fabian Brand , Alina Mosebach , Jürgen Seiler , André Kaup

Probabilistic modeling is iterative. A scientist posits a simple model, fits it to her data, refines it according to her analysis, and repeats. However, fitting complex models to large data is a bottleneck in this process. Deriving…

Machine Learning · Statistics 2016-03-03 Alp Kucukelbir , Dustin Tran , Rajesh Ranganath , Andrew Gelman , David M. Blei

Equipping a deep model the abaility of few-shot learning, i.e., learning quickly from only few examples, is a core challenge for artificial intelligence. Gradient-based meta-learning approaches effectively address the challenge by learning…

Machine Learning · Computer Science 2024-01-09 Baoquan Zhang , Chuyao Luo , Demin Yu , Huiwei Lin , Xutao Li , Yunming Ye , Bowen Zhang

Deep neural networks are frequently used by autonomous systems for their ability to learn complex, non-linear data patterns and make accurate predictions in dynamic environments. However, their use as black boxes introduces risks as the…

Machine Learning · Computer Science 2021-10-08 Dimitrios Boursinos , Xenofon Koutsoukos

While the identification of nonlinear dynamical systems is a fundamental building block of model-based reinforcement learning and feedback control, its sample complexity is only understood for systems that either have discrete states and…

Machine Learning · Statistics 2020-06-19 Horia Mania , Michael I. Jordan , Benjamin Recht