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The defunctionalization translation that eliminates higher-order functions from programs forms a key part of many compilers. However, defunctionalization for dependently-typed languages has not been formally studied. We present the first…

Programming Languages · Computer Science 2023-04-11 Yulong Huang , Jeremy Yallop

Transfer learning can significantly improve the sample efficiency of neural networks, by exploiting the relatedness between a data-scarce target task and a data-abundant source task. Despite years of successful applications, transfer…

Machine Learning · Computer Science 2023-06-06 Federica Gerace , Luca Saglietti , Stefano Sarao Mannelli , Andrew Saxe , Lenka Zdeborová

One desired capability for machines is the ability to transfer their knowledge of one domain to another where data is (usually) scarce. Despite ample adaptation of transfer learning in various deep learning applications, we yet do not…

Machine Learning · Computer Science 2021-01-18 Behnam Neyshabur , Hanie Sedghi , Chiyuan Zhang

Data quality remains a critical bottleneck in developing capable, competitive models. Researchers have explored many ways to generate top quality samples. Some works rely on rejection sampling: generating lots of synthetic samples and…

Computation and Language · Computer Science 2026-05-14 Ishika Agarwal , Sofia Stoica , Emre Can Acikgoz , Pradeep Natarajan , Mahdi Namazifar , Jiaqi Ma , Dilek Hakkani-Tür

The functional interpretation is a systematic, syntactic method for transforming certain non-constructive proofs into constructive proofs with explicit bounds. We illustrate the interpretation by working through a concrete, fairly simple…

Logic · Mathematics 2015-03-20 Henry Towsner

Many tools used to process programs, like compilers, analyzers, or verifiers, perform transformations on their intermediate program representation, like abstract syntax trees. Implementing such program transformations is a non-trivial task,…

Programming Languages · Computer Science 2026-01-21 Michael Hanus , Steven Libby

Charge transfer plays a crucial role in many processes of interest in physics, chemistry, and bio-chemistry. In many applications the size of the systems involved calls for time-dependent density functional theory (TDDFT) to be used in…

Chemical Physics · Physics 2017-10-11 Neepa T. Maitra

We introduce a versatile method for preparing a quantum state whose amplitudes are given by some known function. Unlike existing approaches, our method does not require handcrafted reversible arithmetic circuits, or quantum table reads, to…

Quantum Physics · Physics 2025-07-10 Sam McArdle , András Gilyén , Mario Berta

Many modern learning tasks require models that can take inputs of varying sizes. Consequently, dimension-independent architectures have been proposed for domains where the inputs are graphs, sets, and point clouds. Recent work on graph…

Machine Learning · Computer Science 2026-02-12 Eitan Levin , Yuxin Ma , Mateo Díaz , Soledad Villar

The theory of computational complexity focuses on functions and, hence, studies programs whose interactive behavior is reduced to a simple question/answer pattern. We propose a broader theory whose ultimate goal is expressing and analyzing…

Computational Complexity · Computer Science 2012-09-05 Ugo Dal Lago , Tobias Heindel , Damiano Mazza , Daniele Varacca

Consider the problem of improving the estimation of conditional average treatment effects (CATE) for a target domain of interest by leveraging related information from a source domain with a different feature space. This heterogeneous…

Machine Learning · Computer Science 2022-10-13 Ioana Bica , Mihaela van der Schaar

State transfer across discrete quantum networks is one of the elementary tasks of quantum information processing. Its aim is the faithful placement of information into a specific position in the network. However, all physical systems suffer…

Quantum Physics · Physics 2014-12-30 Holger Frydrych , Antonín Hoskovec , Gernot Alber , Igor Jex

In this paper, we survey the complexity of distinct methods that allow the programmer to synthesize a sup-interpretation, a function providing an upper- bound on the size of the output values computed by a program. It consists in a static…

Computational Complexity · Computer Science 2012-11-29 Romain Péchoux

This paper presents a framework for deep transfer learning, which aims to leverage information from multi-domain upstream data with a large number of samples $n$ to a single-domain downstream task with a considerably smaller number of…

Machine Learning · Computer Science 2025-01-07 Yuling Jiao , Huazhen Lin , Yuchen Luo , Jerry Zhijian Yang

The computational cost of preparing a quantum state can be substantial depending on the structure of data to be encoded. Many quantum algorithms require repeated sampling to find the answer, mandating reconstruction of the same input state…

Connections between nodes of fully connected neural networks are usually represented by weight matrices. In this article, functional transfer matrices are introduced as alternatives to the weight matrices: Instead of using real weights, a…

Machine Learning · Computer Science 2018-09-13 Cheng-Hao Cai , Yanyan Xu , Dengfeng Ke , Kaile Su , Jing Sun

Quantum unitary synthesis addresses the problem of translating abstract quantum algorithms into sequences of hardware-executable quantum gates. Solving this task exactly is infeasible in general due to the exponential growth of the…

Quantum Physics · Physics 2026-02-19 Lukas Theißinger , Thore Gerlach , David Berghaus , Christian Bauckhage

Transfer of pre-trained representations can improve sample efficiency and reduce computational requirements for new tasks. However, representations used for transfer are usually generic, and are not tailored to a particular distribution of…

State transfer is a well-known routine for various systems of spins-$\frac{1}2$. Still, it is not well studied for chains of spins of larger magnitudes. In this contribution we argue that while perfect state transfer may seem unnatural in…

Quantum Physics · Physics 2014-01-09 Marcin Wiesniak , Arijit Dutta , Jeonghee Ryu

An approximate program transformation is a transformation that can change the semantics of a program within a specified empirical error bound. Such transformations have wide applications: they can decrease computation time, power…

Programming Languages · Computer Science 2013-04-23 Edwin Westbrook , Swarat Chaudhuri
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