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09/14/2023
Stable iterative refinement algorithms for solving linear systems
Iterative refinement (IR) is a popular scheme for solving a linear syste...
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08/18/2023
AI Hilbert: From Data and Background Knowledge to Automated Scientific Discovery
The discovery of scientific formulae that parsimoniously explain natural...
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07/14/2023
Value-based Fast and Slow AI Nudging
Nudging is a behavioral strategy aimed at influencing people's thoughts ...
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05/25/2023
Understanding the Capabilities of Large Language Models for Automated Planning
Automated planning is concerned with developing efficient algorithms to ...
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03/07/2023
Fast and Slow Planning
The concept of Artificial Intelligence has gained a lot of attention ove...
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12/16/2022
Plansformer: Generating Symbolic Plans using Transformers
Large Language Models (LLMs) have been the subject of active research, s...
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11/29/2022
Bayesian Experimental Design for Symbolic Discovery
This study concerns the formulation and application of Bayesian optimal ...
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09/23/2022
From String Detection to Orthogonal Vector Problem
Considering Grover's Search Algorithm (GSA) with the standard diffuser s...
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09/21/2022
Creating quantum-resistant classical-classical OWFs from quantum-classical OWFs
One-way functions (OWF) are one of the most essential cryptographic prim...
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09/19/2022
Towards Quantum Advantage on Noisy Quantum Computers
Topological data analysis (TDA) is a powerful technique for extracting c...
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06/13/2022
Distributed Adversarial Training to Robustify Deep Neural Networks at Scale
Current deep neural networks (DNNs) are vulnerable to adversarial attack...
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02/10/2022
PCENet: High Dimensional Surrogate Modeling for Learning Uncertainty
Learning data representations under uncertainty is an important task tha...
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01/27/2022
Efficient Quantum Computation of the Fermionic Boundary Operator
The boundary operator is a linear operator that acts on a collection of ...
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01/18/2022
Combining Fast and Slow Thinking for Human-like and Efficient Navigation in Constrained Environments
Current AI systems lack several important human capabilities, such as ad...
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10/05/2021
Thinking Fast and Slow in AI: the Role of Metacognition
AI systems have seen dramatic advancement in recent years, bringing many...
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09/03/2021
Integration of Data and Theory for Accelerated Derivable Symbolic Discovery
Scientists have long aimed to discover meaningful equations which accura...
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08/05/2021
Quantum Topological Data Analysis with Linear Depth and Exponential Speedup
Quantum computing offers the potential of exponential speedups for certa...
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07/19/2021
E-PDDL: A Standardized Way of Defining Epistemic Planning Problems
Epistemic Planning (EP) refers to an automated planning setting where th...
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03/08/2021
Fast randomized non-Hermitian eigensolver based on rational filtering and matrix partitioning
This paper describes a set of rational filtering algorithms to compute a...
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02/10/2021
Sparse graph based sketching for fast numerical linear algebra
In recent years, a variety of randomized constructions of sketching matr...
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12/29/2020
Denoising quantum states with Quantum Autoencoders – Theory and Applications
We implement a Quantum Autoencoder (QAE) as a quantum circuit capable of...
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11/09/2020
Quantum-Inspired Algorithms from Randomized Numerical Linear Algebra
We create classical (non-quantum) dynamic data structures supporting que...
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10/13/2020
Projection techniques to update the truncated SVD of evolving matrices
This paper considers the problem of updating the rank-k truncated Singul...
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10/12/2020
Thinking Fast and Slow in AI
This paper proposes a research direction to advance AI which draws inspi...
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09/10/2020
Dynamic graph based epidemiological model for COVID-19 contact tracing data analysis and optimal testing prescription
In this study, we address three important challenges related to the COVI...
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06/11/2020
Symbolic Regression using Mixed-Integer Nonlinear Optimization
The Symbolic Regression (SR) problem, where the goal is to find a regres...
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12/31/2019
Tensor-Tensor Products for Optimal Representation and Compression
In this era of big data, data analytics and machine learning, it is impe...
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10/17/2019
Communication over Continuous Quantum Secure Dialogue using Einstein-Podolsky-Rosen States
With the emergence of quantum computing and quantum networks, many commu...
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10/16/2019
Tensor Graph Convolutional Networks for Prediction on Dynamic Graphs
Many irregular domains such as social networks, financial transactions, ...
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04/29/2019
Recurrent Neural Networks in the Eye of Differential Equations
To understand the fundamental trade-offs between training stability, tem...
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11/15/2018
Stable Tensor Neural Networks for Rapid Deep Learning
We propose a tensor neural network (t-NN) framework that offers an excit...
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11/12/2017
Should You Derive, Or Let the Data Drive? An Optimization Framework for Hybrid First-Principles Data-Driven Modeling
Mathematical models are used extensively for diverse tasks including ana...
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10/29/2017
Globally Optimal Symbolic Regression
In this study we introduce a new technique for symbolic regression that ...
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06/29/2017
Image classification using local tensor singular value decompositions
From linear classifiers to neural networks, image classification has bee...
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05/02/2017
Experimental Design for Non-Parametric Correction of Misspecified Dynamical Models
We consider a class of misspecified dynamical models where the governing...
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09/05/2013