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Science China Mathematics 2012年第1期55卷 1-72页

作者： fried Michael D. Department of Mathematics University of California at Irvine

Davenport's Problem asks:What can we expect of two polynomials,over Z,with the same ranges on almost all residue class fields? This stood out among many separated variable problems posed by Davenport,Lewis and *** bounding the degrees,but expanding the maps and variables in Davenport's Problem,Galois stratification enhanced the separated variable theme,solving an Ax and Kochen problem from their Artin Conjecture *** and Loeser applied this to add Chow motive coefficients to previously introduced zeta functions on a diophantine *** restricting the variables,but leaving the degrees unbounded,we found the striking distinction between Davenport's problem over Q,solved by applying the Branch Cycle Lemma,and its generalization over any number field,solved by using the simple group *** encouraged Thompson to formulate the genus 0 problem on rational function monodromy *** and Thompson led its solution in *** look at two developments since the solution of Davenport's *** from MacCluer's 1967 thesis,identifying a general class of problems,including Davenport's,as monodromy precise.R(iemann)E(xistence)T(heorem)'s role as a converse to problems generalizing Davenport's,and Schinzel's (on reducibility).We use these to consider:Going beyond the simple group classification to handle imprimitive groups,and what is the role of covers and correspondences in going from algebraic equations to zeta functions with Chow motive coefficients.

关键词： group representations normal varieties Galois stratification Davenport pair Monodromy group primitive group covers fiber products Open Image Theorem Riemann's existence theorem genus zero problem

Unsupervised natural image patch learning

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Computational Visual Media 2019年第3期5卷 229-237页

作者： Dov Danon Hadar Averbuch-Elor Ohad fried Daniel Cohen-Or Tel-Aviv University Tel Aviv 6997801Israel Stanford University StanfordCA 94305USA

A metric for natural image patches is an important tool for analyzing images. An efficient means of learning one is to train a deep network to map an image patch to a vector space, in which the Euclidean distance reflects patch similarity. Previous attempts learned such an embedding in a supervised manner,requiring the availability of many annotated images. In this paper, we present an unsupervised embedding of natural image patches, avoiding the need for annotated images. The key idea is that the similarity of two patches can be learned from the prevalence of their spatial proximity in natural images. Clearly, relying on this simple principle, many spatially nearby pairs are outliers. However, as we show, these outliers do not harm the convergence of the metric learning. We show that our unsupervised embedding approach is more effective than a supervised one or one that uses deep patch representations. Moreover, we show that it naturally lends itself to an efficient self-supervised domain adaptation technique onto a target domain that contains a common foreground object.

关键词： unsupervised learning metric learning

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《语法构式：溯源》述评

当代语言学 2008年第1期10卷 73-77页

作者： M．fried() H．Boas() 刘国辉(述评) 不详重庆大学外国语学院重庆400030

《语法构式：溯源》（Grammatical Constructions：Backtothe Roots）是一部有关构式语法理论及应用研究的国际会议论文集，该文集是2001年在美国加州大学伯克利分校召开的第一次国际构式语法专题研讨会的汇总，由fried和Boas主编而成，... 详细信息

《语法构式：溯源》（Grammatical Constructions：Backtothe Roots）是一部有关构式语法理论及应用研究的国际会议论文集，该文集是2001年在美国加州大学伯克利分校召开的第一次国际构式语法专题研讨会的汇总，由fried和Boas主编而成，John Benjamins出版公司2005年出版。该文集共收录了9篇论文，主要涉及构式语法三个宏观方面的内容：（1）探讨排除句法自主框架下的句型表征问题；（2）语法结构与动词语义之间的关系问题；（3）语言变异与变化问题。

关键词：构式语法理论加州大学伯克利分校述评国际会议出版公司专题研讨会论文集关系问题

Recurrent abdominal complaints caused by a cecal neurofi broma:A case report

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World Journal of Gastroenterology 2011年第34期17卷 3953-3956页

作者： Willem Donk Paul Poyck Pieter Westenend Wilco Lesterhuis fried Hesp Department of Surgery Albert Schweitzer hospital Laboratory for Pathology Laan van Londen 1800 Department of Gastroenterology AlbertSchweitzer hospital

Gastrointestinal involvement of neurof ibromatosis type 1 (NF1, Von Recklinghausen’s disease) is generally associated with the upper gastrointestinal tract. Abdominal manifestation of NF1 includes several tumors such as malignant peripheral nerve sheath tumors, gastrointestinal stromal tumors and ampulla of vater tumors. However, colonic involvement in NF1 patients is rare. We report a case of a patient presenting with dysphagia, weight loss, intermittent abdominal pain and constipation caused by a single cecal neurof ibroma obstructing the ileocecal valve. Also gastrointestinal involvement of the lower tract should be considered in patients with NF1 presenting with abdominal complaints.

关键词： Neurofibromatosis type 1 Von Recklinghausen's disease Colon Neurofi broma Treatment

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高分子科学与工程

Nanobiotechnology： 1D nanomaterial building blocks for cellular interfaces and hybrid tissues

作者： Joel R.·fried

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Nano Research 2018年第10期11卷 5372-5399页

作者： Haitao Liu Bilal Haider Holden R. fried Jie Ju Olurotimi Bolonduro Vineeth Raghuram Brian P. Timko Department of Biomedical Engineering Tufts University Medford Massachusetts 02755 USA School of Materials Science and Technology China University ofGeosciences Beijing 100083 China

Solid-state nanomaterials exhibit complementary interactions with biological systems because of their biologically-relevant size scales and rationally tunable electrical, chemical and mechanical properties. In this review, we focus specifically on one-dimensional （1D） nanomaterials such as silicon or gold nanowires or carbon nanotubes. We discuss the nature of the nanomaterial-cell interface, and how that interface may be engineered to enhance or modulate cellular function. We then describe how those unique interfaces may be exploited in three-dimensional （3D） tissue culture to recapitulate the extracellular matrix and promote or complement morphogenesis. Finall~ we describe how 1D nanomaterials may be elucidated as nanoelectronic devices that monitor the chemical or electrical environment of cells or tissue with exquisite spatial and temporal resolution. We discuss prospects for entirely new classes of engineered, hybrid tissues with rationally-designed biological function and two-way, closed-loop electronic communication.

关键词： nanomaterial neuron cardiomyocyte nanoelectronics bioelectronics hybrid tissue

Linear and Quadratic Leap-and-Land Trajectory Tracking Algorithms

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Applied Mathematics 2021年第7期12卷 587-597页

作者： Isaac fried Department of Mathematics Boston University Boston MA USA

Considered in this note are numerical tracking algorithms for the accurate following of implicit curves. We start with a fixed point on the curve, and then systematically place on it additional points, one after the other. In this note we first go over the basic procedure of moving forward tangentially from an already placed point then orthogonally returning to the curve. Next, we further consider higher order forward stepping procedures for greater accuracy. We note, however, that higher order methods, desirable for greater accuracy, may harbor latent instabilities. This note suggests ways of holding such instabilities in check, to have stable and highly accurate tracing methods. The note has several supporting numerical examples, including the rounding of a dynamical “snap-through” point.

关键词： Implicit Functions Curve Tracing Linear Tangential Leap Nonlinear Leaps Maintaining Stability Orthogonal Landing Cornering a Snap-Through

High-Order Iterative Methods Repeating Roots a Constructive Recapitulation

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Applied Mathematics 2022年第2期13卷 131-146页

作者： Isaac fried Department of Mathematics Boston University Boston MA USA

This paper considers practical, high-order methods for the iterative location of the roots of nonlinear equations, one at a time. Special attention is being paid to algorithms also applicable to multiple roots of initially known and unknown multiplicity. Efficient methods are presented in this note for the evaluation of the multiplicity index of the root being sought. Also reviewed here are super-linear and super-cubic methods that converge contrarily or alternatingly, enabling us, not only to approach the root briskly and confidently but also to actually bound and bracket it as we progress.

关键词： Roots of Nonlinear Equations Multiple Roots Multiplicity Index of a Root Estimation of the Multiplicity Index of a Root High-Order Iterative Methods Root Bracketing Alternatingly Converging Methods Contrarily Converging Methods

Newton’s Method and an Exact Opposite That Average into Halley’s Method

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Applied Mathematics 2017年第10期8卷 1427-1436页

作者： Isaac fried Department of Mathematics Boston University Boston MA USA

This note is mainly concerned with the creation of oppositely converging and alternatingly converging iterative methods that have the added advantage of providing ever tighter bounds on the targeted root. By a slight parametric perturbation of Newton’s method we create an oscillating super-linear method approaching the targeted root alternatingly from above and from below. Further extension of Newton’s method creates an oppositely converging quadratic counterpart to it. This new method requires a second derivative, but for it, the average of the two opposite methods rises to become a cubic method. This note examines also the creation of high order iterative methods by a repeated specification of undetermined coefficients.

关键词： Iterative Methods Alternating Methods Opposite Methods Root Bounds Undetermined Coefficients

Consistency and Stability Issues in the Numerical Integration of the First and Second Order Initial Value Problem

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Applied Mathematics 2019年第8期10卷 676-690页

作者： Isaac fried Department of Mathematics Boston University Boston MA USA

In this note we consider some basic, yet unusual, issues pertaining to the accuracy and stability of numerical integration methods to follow the solution of first order and second order initial value problems (IVP). Included are remarks on multiple solutions, multi-step methods, effect of initial value perturbations, as well as slowing and advancing the computed motion in second order problems.

关键词： Initial Value Problems Numerical Integration Consistency Stability Multiple Solutions Sensitivity to Initial Conditions Slowing and Advancing the Computed Motion