A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf
.
Filters
A unified approach to evaluation algorithms for multivariate polynomials
1997
Mathematics of Computation
algorithm with computational complexities O(n s ), O(n s ) and O(n) per point respectively for the evaluation of multivariate polynomials at several points. ...
All of the known evaluation algorithms can be generated either by considering up recursive evaluation algorithms for L-bases or by examining change of basis algorithms for L-bases. ...
This algorithm can be used repeatedly to evaluate any bivariate L-basis on a regular rectangular lattice with an amortized cost of O(n) computations per point. ...
doi:10.1090/s0025-5718-97-00862-4
fatcat:37audtlqq5a4zkbodg6lmeyg64
Diversification in Firm Valuation: A Multivariate Copula Approach
2011
Social Science Research Network
We introduce a new discounted cash flow model which adopts the diversification effect of multi-business firms. ...
In the bivariate case we could only focus on two business segments, but multi-business firms are often comprised of more than two segments. ...
We assume r W ACC l to be invariant over all time points. ...
doi:10.2139/ssrn.1739736
fatcat:2jaswidwczd7lajmfa5e7ed3pq
Batched Point Location in SINR Diagrams via Algebraic Tools
[chapter]
2015
Lecture Notes in Computer Science
Moreover, the amortized query time in these results depends only on n and ε. ...
Efficient point location in the SINR diagram, i.e., being able to build a data structure that facilitates determining, for a query point, whether any transmitter is heard there, and if so, which one, has ...
Fact A.1 to multi-evaluate B j on all values x i ; the remaining arithmetic can be done in O(n 2 ) operations. ...
doi:10.1007/978-3-662-47672-7_6
fatcat:okorpezmhjabbbfdu7q7nddysq
Darlin: Recursive Proofs using Marlin
[article]
2021
arXiv
pre-print
Darlin addresses recursive proofs by integrating the amortization technique from Halo (IACR eprint 2019/099) for the non-succinct parts of the dlog verifier, and we adapt their strategy for bivariate circuit ...
The multi-point queries to be proven by the batch evaluation argument are as follows. ...
Here 'multi-point' refers to the different points α, α ′ , and 'multi-polynomial' to the different polynomials defined by ⃗ η, ⃗ η ′ . ...
arXiv:2107.04315v2
fatcat:halbog6jt5girhq7att3rxceia
The Complexity of an Adaptive Subdivision Method for Approximating Real Curves
2017
Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '17
w 2 |α| where α = (α1, · · · , αn) ∈ N n is a multi-index. ...
Moreover, this integral can be evaluated even when the input polynomial has complex (but not real) singularities. Examples of the evaluation of this integral appear in the remainder of this paper. ...
doi:10.1145/3087604.3087654
dblp:conf/issac/BurrGT17
fatcat:66yznelgcnfzvdxoahtsi57tnm
Continuous amortization and extensions: With applications to bisection-based root isolation
2016
Journal of symbolic computation
In this paper, the theory of continuous amortization is generalized and applied in several directions. ...
Continuous amortization was introduced in Burr et al. (2009) as a way to bound the complexity of subdivision-based algorithms. ...
At this point, we use an undirected multi-subgraph G of the nearest neighbor graph (Eppstein et al., 1997 ) whose edge lengths appear as the d i 's with the same multiplicities. ...
doi:10.1016/j.jsc.2016.01.007
fatcat:bee6vuww4zfx7bt3y2gonumqhm
Atomic Secure Multi-party Multiplication with Low Communication
[chapter]
2007
Lecture Notes in Computer Science
We consider the standard secure multi-party multiplication protocol due to M. Rabin. ...
The ideas involved can additionally be employed in the evaluation of arithmetic circuits, where under appropriate circumstances similar efficiency gains can be obtained. ...
Atomic Secure Multi-party Multiplication with Low Communication ...
doi:10.1007/978-3-540-72540-4_19
fatcat:ipjkvqhxqfeezksp524f4vopm4
Bank Lending Policy, Credit Scoring, and the Survival of Loans
2004
Review of Economics and Statistics
Abstract To evaluate loan applicants, banks increasingly use credit scoring models. The objective of such models typically is to minimize default rates or the number of incorrectly classified loans. ...
In this paper a bivariate Tobit model with a variable censoring threshold and sample selection effects is estimated for (1) the decision to provide a loan or not and (2) the survival of granted loans. ...
The starting point of every loan is the application. ...
doi:10.1162/0034653043125248
fatcat:uf7j3ppu5renrjm63eyo7r76xm
Bank Lending Policy, Credit Scoring and the Survival of Loans
2004
Social Science Research Network
Abstract To evaluate loan applicants, banks increasingly use credit scoring models. The objective of such models typically is to minimize default rates or the number of incorrectly classified loans. ...
In this paper a bivariate Tobit model with a variable censoring threshold and sample selection effects is estimated for (1) the decision to provide a loan or not and (2) the survival of granted loans. ...
The starting point of every loan is the application. ...
doi:10.2139/ssrn.488522
fatcat:qi6ckefspvgevgvxp7vuhmijau
Amortized Inference for Causal Structure Learning
[article]
2022
arXiv
pre-print
In this work, we propose to amortize the process of causal structure learning. ...
Learning causal structure poses a combinatorial search problem that typically involves evaluating structures using a score or independence test. ...
While amortized inference has gained increasing popularity in recent years (Amos, 2022) , prior work applying it to causal discovery only studied narrowly defined subproblems like the bivariate case or ...
arXiv:2205.12934v1
fatcat:o7jwjhf4vrhehkchihc4yclala
Batched Point Location in SINR Diagrams via Algebraic Tools
[article]
2017
arXiv
pre-print
Moreover, the amortized query time in these results depends only on n and ε. ...
Efficient point location in the SINR diagram, i.e., building a data structure to determine, for a query point, whether any transmitter is heard there, and if so, which one, has been recently investigated ...
Fact A.7 (Bivariate Evaluation and Interpolation over a Grid [11, 29] ). ...
arXiv:1412.0962v3
fatcat:4vaosbvud5gz5c2jlth4crqbim
Lattices and Algorithms for Bivariate Bernstein, Lagrange, Newton, and Other Related Polynomial Bases Based on Duality betweenL-Bases andB-Bases
1998
Journal of Approximation Theory
A new geometric point-line duality between L-bases and B-bases is described: lines in L-bases correspond to points or vectors in B-bases and concurrent lines map to collinear points and vice versa. ...
We describe, in particular, a new change of basis algorithm from a bivariate Lagrange L-basis to a bivariate Bernstein basis with computational complexity O(n 3 ). Academic Press ...
Again when the L-basis is a Lagrange basis, this change of basis algorithm evaluates the B-patch at O(n 2 ) points with an amortized cost of O(n) computations per point. ...
doi:10.1006/jath.1997.3162
fatcat:bo4prnb6hjbq3nk3l4mjielfgq
Batch codes and their applications
2004
Proceedings of the thirty-sixth annual ACM symposium on Theory of computing - STOC '04
We also demonstrate the usefulness of batch codes by presenting two types of applications: trading maximal load for storage in certain load-balancing scenarios, and amortizing the computational cost of ...
Recall that the Reed-Muller (RM) code is defined as the evaluation of all degree d polynomials on all |F | evaluation points. ...
Let S 1 , S 2 , S 3 denote the disjoint subsets of evaluation points used for decoding the multiset {i, i, i}. ...
doi:10.1145/1007352.1007396
dblp:conf/stoc/IshaiKOS04
fatcat:nxtwnfqxnjh2bnnjwtvpy4g3ky
Solving bivariate systems using Rational Univariate Representations
2016
Journal of Complexity
A key ingredient of our proofs of complexity is an amortized analysis of the triangular decomposition algorithm via subresultants, which is of independent interest. ...
Such representations require the computation of a separating form for the system, that is a linear combination of the variables that takes different values when evaluated at the distinct solutions of the ...
We present in Section 4 our amortized analysis of the triangular decomposition and a related luckiness certificate which is a key feature of the following multi-modular algorithms. ...
doi:10.1016/j.jco.2016.07.002
fatcat:3eg6wmdymzfunpc4bwww6ddyvm
BayesFlow: Learning complex stochastic models with invertible neural networks
[article]
2020
arXiv
pre-print
With this work, we propose a novel method for globally amortized Bayesian inference based on invertible neural networks which we call BayesFlow. ...
We argue that BayesFlow provides a general framework for building amortized Bayesian parameter estimation machines for any forward model from which data can be simulated. ...
Evaluating this model for specific observations x o 1:N is then very fast, so that the training effort amortizes over repeated evaluations (see Figure 1 for a graphical illustration). ...
arXiv:2003.06281v4
fatcat:fsoeg74glrdkxkn63d6fdjbtzm
« Previous
Showing results 1 — 15 out of 288 results