475 research outputs found
Perturbations of frames
In this paper, we give some sufficient conditions under which perturbations
preserve Hilbert frames and near-Riesz bases. Similar results are also extended
to frame sequences, Riesz sequences and Schauder frames. It is worth mentioning
that some of our perturbation conditions are quite different from those used in
the previous literatures on this topic.Comment: to appear in Acta MAth. Sinica, English Serie
The Optimal Mix of Monetary and Climate Policy
Given central banks' recent interest in "greening the financial system", this research theoretically investigates the relationship between monetary and climate policy and tries to find their âoptimal mixâ. We build an Environmental Dynamic Stochastic General Equilibrium (E-DSGE) model with the consideration of illegal emission which is pervasive in many countries. According to the model, we find: First, the dynamic of monetary policy is influenced by the selection of regimes of climate policy and the effectiveness of enforcement of environmental regulation. Second, the coefficients in the traditional Taylor rule of monetary policy can be better set to enhance welfare when a certain regime of climate policy is given in the economy. This helps find the constrained optimums of a policy mix. Third, if the mitigation of climate change is augmented into the target of monetary policy, the economyâs welfare can be enhanced. However, under certain circumstances, a dilemma in such monetary policy makes it incompatible with the traditional mandate of central bank
-complemented, -isomorphic copies of in dual Banach spaces
The present paper contributes to the ongoing programme of quantification of
isomorphic Banach space theory focusing on Pe{\l}czy\'nski's classical work on
dual Banach spaces containing () and the Hagler--Stegall
characterisation of dual spaces containing complemented copies of . We
prove the following quantitative version of the Hagler--Stegall theorem
asserting that for a Banach space the following statements are equivalent:
contains almost isometric copies of ,
for all , contains a
-complemented, -isomorphic copy of ,
for all , contains a
-complemented, -isomorphic copy of
.
Moreover, if is separable, one may add the following assertion:
for all , there exists a -quotient
map so that is
-complemented in , where is the Cantor set.Comment: 14 p
Asymptotically isometric copies of and in quotients of Banach spaces
Let be a real Banach space that does not contain a copy of . Then contains asymptotically sometric copies of if and only if has a quotient which is asymptotically isometric to
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Experimental characterization of Bowden cable friction and compliance
textThis thesis presents a systematic method for experimental characterization of Bowden cable friction and compliance. A novel tension and elongation measurement method using a motion capture system and a spring is introduced. With the measurement method, the effects of nine variables on friction and cable compliance are investigated through a comprehensive set of experiments under 144 different cases. We have generated specific guidelines for Bowden cable configurations and design parameters to achieve optimal performance which may help robotics researchers in choosing and configuring Bowden cables, and designing control systems for actuation.Mechanical Engineerin
Engaging Central Banks in Climate Change? The Mix of Monetary and Climate Policy
Given the recent debate on central banksâ role under climate change, this research theoretically investigates the mix of monetary and climate policy and provides some insights for central banks who are considering their engagement in the climate change issue. The âclimate-augmentedâ monetary policy is pioneeringly proposed and studied. We build an extended Environmental Dynamic Stochastic General Equilibrium (E-DSGE) model as the method. By this model, we find the following results. First, the making process of monetary policy should consider the existing climate policy and environmental regulation. Second, the coefficients in traditional monetary policy can be better set to enhance welfare when climate policy is given. This provides a way to optimise the policy mix. Third, if a typical form climate target is augmented into the monetary policy rule, a dilemma could be created. This means that it has some risks for central banks to care for the climate proactively by using the narrow monetary policy. At the current stage, central banks could and should use other measures to help the climate and the financial stability
CIDR: A Cooperative Integrated Dynamic Refining Method for Minimal Feature Removal Problem
The minimal feature removal problem in the post-hoc explanation area aims to
identify the minimal feature set (MFS). Prior studies using the greedy
algorithm to calculate the minimal feature set lack the exploration of feature
interactions under a monotonic assumption which cannot be satisfied in general
scenarios. In order to address the above limitations, we propose a Cooperative
Integrated Dynamic Refining method (CIDR) to efficiently discover minimal
feature sets. Specifically, we design Cooperative Integrated Gradients (CIG) to
detect interactions between features. By incorporating CIG and characteristics
of the minimal feature set, we transform the minimal feature removal problem
into a knapsack problem. Additionally, we devise an auxiliary Minimal Feature
Refinement algorithm to determine the minimal feature set from numerous
candidate sets. To the best of our knowledge, our work is the first to address
the minimal feature removal problem in the field of natural language
processing. Extensive experiments demonstrate that CIDR is capable of tracing
representative minimal feature sets with improved interpretability across
various models and datasets.Comment: Accepted by AAAI202
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