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Multimodal Large Language Models (MLLMs) are undergoing rapid progress and represent the frontier of AI development. However, their training and inference efficiency have emerged as a core bottleneck in making MLLMs more accessible and…

We present a unifying framework for generating extended formulations for the polyhedral outer approximations used in algorithms for mixed-integer convex programming (MICP). Extended formulations lead to fewer iterations of outer…

Optimization and Control · Mathematics 2016-06-02 Miles Lubin , Emre Yamangil , Russell Bent , Juan Pablo Vielma

Capture calculus has recently been proposed as a solution to effect checking, achieved by tracking the captured references of terms in the types. Boxes, along with the box and unbox operations, are a crucial construct in capture calculus,…

Programming Languages · Computer Science 2023-06-13 Yichen Xu , Martin Odersky

A C++ library ZKCM and its extension library ZKCM_QC have been developed since 2011 for multiple-precision matrix computation and accurate matrix-product-state (MPS) quantum circuit simulation, respectively. In this report, a recent…

Computational Physics · Physics 2024-02-20 Akira SaiToh

The Functional Machine Calculus (Heijltjes 2022) is an extension of the lambda-calculus that preserves confluent reduction and typed termination, while enabling both call-by-name and call-by-value reduction behaviour and encoding the…

Logic in Computer Science · Computer Science 2024-11-08 Willem Heijltjes

Algebraic effects and handlers are a mechanism to structure programs with computational effects in a modular way. They are recently gaining popularity and being adopted in practical languages, such as OCaml. Meanwhile, there has been…

Programming Languages · Computer Science 2023-11-20 Fuga Kawamata , Hiroshi Unno , Taro Sekiyama , Tachio Terauchi

Tropical algebra, including max-plus, min-plus, and related idempotent semirings, provides a unifying framework in which many optimization problems that are nonlinear in classical algebra become linear. This property makes tropical methods…

Mathematical Software · Computer Science 2026-01-27 Gnankan Landry Regis N'guessan

The OpenMP language continues to evolve with every new specification release, as does the need to validate and verify the new features that have been introduced. With the release of OpenMP 5.0 and OpenMP 5.1, plenty of new target offload…

This paper introduces ESBMC v7.3, the latest Efficient SMT-Based Context-Bounded Model Checker version, which now incorporates a new clang-based C++ front-end. While the previous CPROVER-based front-end served well for handling C++03…

Logic in Computer Science · Computer Science 2023-08-11 Kunjian Song , Mikhail R. Gadelha , Franz Brauße , Rafael S. Menezes , Lucas C. Cordeiro

We present OPITeR, a FORM program for the reduction of multi-loop tensor Feynman integrals. The program can handle tensors, including spinor indices, with rank of up to 20 and can deal with up to 8 independent external momenta. The…

High Energy Physics - Phenomenology · Physics 2025-04-29 Jae Goode , Franz Herzog , Sam Teale

This paper presents the Functional Machine Calculus (FMC) as a simple model of higher-order computation with "reader/writer" effects: higher-order mutable store, input/output, and probabilistic and non-deterministic computation. The FMC…

Programming Languages · Computer Science 2023-06-22 Willem Heijltjes

While modern software development heavily uses versioned packages, programming languages rarely support the concept of versions in their semantics, which makes software updates more bulky and unsafe. This paper proposes a programming…

Programming Languages · Computer Science 2021-07-16 Yudai Tanabe , Luthfan Anshar Lubis , Tomoyuki Aotani , Hidehiko Masuhara

This paper presents alpaqa, an open-source C++ implementation of an augmented Lagrangian method for nonconvex constrained numerical optimization, using the first-order PANOC algorithm as inner solver. The implementation is packaged as an…

Optimization and Control · Mathematics 2021-12-07 Pieter Pas , Mathijs Schuurmans , Panagiotis Patrinos

For spin rotational symmetric models with a positive-definite high-temperature expansion of the partition function, a stochastic sampling of the series expansion upon partial resummation becomes logically equivalent to sampling an…

Strongly Correlated Electrons · Physics 2022-09-01 Nisheeta Desai , Sumiran Pujari

$\mathcal{H}\Phi$ [$aitch$-$phi$] is an open-source software package of numerically exact and stochastic calculations for a wide range of quantum many-body systems. In this paper, we present the newly added functions and the implemented…

Strongly Correlated Electrons · Physics 2024-02-06 Kota Ido , Mitsuaki Kawamura , Yuichi Motoyama , Kazuyoshi Yoshimi , Youhei Yamaji , Synge Todo , Naoki Kawashima , Takahiro Misawa

Quantum Monte Carlo (QMC) methods deliver highly accurate electronic structure calculations but are computationally intensive. The quantum Monte Carlo kernel library (QMCkl) provides a modular, portable collection of high-performance…

We present a program that implements the OPP reduction method to extract the coefficients of the one-loop scalar integrals from a user defined (sub)-amplitude or Feynman Diagram, as well as the rational terms coming from the 4-dimensional…

High Energy Physics - Phenomenology · Physics 2011-05-05 Giovanni Ossola , Costas G. Papadopoulos , Roberto Pittau

We present a general-purpose solver for convex quadratic programs based on the alternating direction method of multipliers, employing a novel operator splitting technique that requires the solution of a quasi-definite linear system with the…

Optimization and Control · Mathematics 2020-02-13 Bartolomeo Stellato , Goran Banjac , Paul Goulart , Alberto Bemporad , Stephen Boyd

We overview the ensmallen numerical optimization library, which provides a flexible C++ framework for mathematical optimization of user-supplied objective functions. Many types of objective functions are supported, including general,…

Mathematical Software · Computer Science 2024-02-12 Ryan R. Curtin , Marcus Edel , Rahul Ganesh Prabhu , Suryoday Basak , Zhihao Lou , Conrad Sanderson

A form compiler takes a high-level description of the weak form of partial differential equations and produces low-level code that carries out the finite element assembly. In this paper we present the Two-Stage Form Compiler (TSFC), a new…

Mathematical Software · Computer Science 2018-07-03 Miklós Homolya , Lawrence Mitchell , Fabio Luporini , David A. Ham