Algorithm Modifications Sample Clauses

Algorithm Modifications. The extent to which the existing scalar algorithm has to be modified to run well on the parallel processor can range from minimal changes in the calling code to a bottom-up re-write of the algorithm. For any given algorithm the position in this range will depend on the programming model being used and the nature of the algorithm itself. At the extreme end of this range it might be necessary to find a completely different algorithm for solving the same problem which has more inherent parallelism. For example, a bin-based sorting algorithm is going to be more efficient on a parallel processor than one which requires access to all data on every iteration, even if it is less efficient on a serial processor. Data and task parallelism An algorithm can be made parallel in two distinct ways:
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Algorithm Modifications. ‌ Under certain regularity conditions, FSA converges in probability to the local max- imum for convex log-likelihood (Xxxxxxx, 1992), however, the ReML log-likelihood can be non-convex and FSA may not converge (Xxxxxxxxxx et al., 2008). In Figure 3.2, we illustrate a simulated example of the quadric-shaped ReML log-likelihood function with the true ACE parameter setting of (A, C, E)T = (0, 0, 1)T and total variance σ2 = 1, which shows the ReML log-likelihood values for valid parameter set- tings in the ACE parameter space of {(A, C, E)T|A, C, E ∈ [0, 1] and A+C +E = 1}. Nevertheless, the estimate of the parameter vector can jump outside the parameter space and the ReML log-likelihood measures may not keep non-positive (i.e., the ReML likelihood values are not between 0 and 1), leading to the divergence or the inaccuracy of an algorithm. As a variant of Xxxxxx’x method, FSA is also sensit- ive to the starting point chosen; FSA can fail to converge if the given initial value ρ0 is poor. For instance, when the starting point is near or at the boundary of the parameter space, FSA is frequent to finally arrive at a point estimate outside the parameter space. Therefore, some possible modifications of the algorithm are proposed below, attempting to solve the convergence problems. Line Search The line search method can be applied and embedded in FSA in order to make sure an adequate increase in the objective function is achieved for each iteration. For the iteration s, ρs+1 = ρs + αsps, where ps = I−1(ρs|Y)∇A(ρs|Y) denotes a decent search direction of the objective function, and the step length αs is employed so as to achieve certain progress in the objective values, i.e., to ensure an increase in the ReML log-likelihood. The optimised choice of step length would be the exact step length obtained by solving the equation ∇A(ρs + αsps|Y) = 0 with fixed ρs and ps, but the full analytical expression of the maximum point is unachievable in this case. As the exact step length is impossible to derive, the inexact step length must be used. An acceptable inexact step length increases the ReML log-likelihood sufficiently, which can be determined by the Xxxxx conditions (Xxxxx, 1969, 1971). If αs > 0 satisfies the following two inequalities  A(ρs + αsps|Y) ≥ A(ρs|Y) + c1αspsT∇A(ρs|Y), s  pT∇A(ρs + αsps|Y) ≤ c2psT∇A(ρs|Y), where 0 < c1 < c2 < 1, then αs is the optimal step size satisfying the Xxxxx conditions. In practice, we use the recommended values of c1 = 10−4 and c...

Related to Algorithm Modifications

  • INTEGRATIONS & MODIFICATIONS This Agreement constitutes the whole agreement between the parties. Except as identified in this Agreement, there are no other prior written agreements and no prior or contemporaneous oral agreements that are a part of this Agreement. No modification to this Agreement shall be valid, unless in writing and executed by both parties.

  • Contract Modifications It is understood that changes are inherent in operations of the type covered by this contract. The number of changes, the scope of those changes, and the impact they have on the progress of the original operations cannot be defined at this time. The PURCHASER is notified that changes are anticipated and that there will be no compensation made to the PURCHASER directly related to the number of changes made. Each change will be evaluated for extension of contract time and increase or decrease in compensation based on its own merit. STATE reserves the right to make, at any time during the contract, such modifications as are necessary or desirable; provided such modifications shall not change the character of the operations to be done nor increase the cost, unless such operations or cost increase is approved in writing by PURCHASER. Any modifications so made shall not invalidate this contract nor release PURCHASER of obligations under the performance bond. PURCHASER agrees to do the modified operations as if it had been a part of the original contract. If any change under this section causes an increase or decrease in the PURCHASER's cost of, or the time required for the performance of any part of the operations, the PURCHASER must submit a written statement setting forth the nature and specific extent of the claim. Such claim shall include all time and cost impacts against the contract and be submitted as soon as possible, but no later than 30 days after receipt of any written notice of modification of the contract. If the PURCHASER discovers site conditions which differ materially from what was represented in the contract or from conditions that would normally be expected to exist and be inherent to the activities defined in the contract, the PURCHASER shall notify the STATE's Authorized Representative immediately and before the area has been disturbed. The STATE's Authorized Representative will investigate the area and make a determination as to whether or not the conditions differ materially from either the conditions stated in the contract or those which could reasonably be expected in execution of this particular contract. If it is determined that a differing site condition exists, any compensation or credit will be determined based on an analysis by STATE's Authorized Representative. If the PURCHASER does not concur with the decision of the STATE's Authorized Representative and/or believes that it is entitled to additional compensation, the PURCHASER may proceed to file a claim. Claims Review Process. All PURCHASER claims shall be referred to the STATE's Authorized Representative for review. All claims shall be made in writing to the STATE's Authorized Representative not more than ten days from the date of the occurrence of the event which gives rise to the claim or not more than ten days from the date that the PURCHASER knew or should have known of the problem. Unless the claim is made in accordance with these time requirements, it shall be waived. All claims shall be submitted in writing and shall include a detailed, factual statement of the basis of the claim, pertinent dates, contract provisions which support or allow the claim, reference to or copies of any documents which support the claim, the exact dollar value of the claim, and specific time extension requested for the claim. If the claim involves operations to be completed by subcontractors, the PURCHASER will analyze and evaluate the merits of the subcontractor's claim. PURCHASER shall forward the subcontractor's claim and PURCHASER's evaluation of such claim to STATE's Authorized Representative. The STATE's Authorized Representative will not consider direct claims from subcontractors, suppliers, manufacturers, or others not a party to this contract. The decision of the STATE shall be final and binding unless the PURCHASER requests mediation.

  • Cost Modifications The parties may agree to a reduction in the cost of the Contract at any time during which the Contract is in effect. Without intending to impose a limitation on the nature of the reduction, the reduction may be to hourly, staffing or unit costs, the total cost of the Contract or the reduction may take such other form as the State deems to be necessary or appropriate.

  • Minor Modifications A. The following may be administratively authorized as minor modifications to this Agreement:

  • Budget Modifications The total Approved Budget and the assignment of costs may be adjusted based on implementation of the Scope of Work, spending patterns, and unexpended funds, but only by an amendment to the Approved Budget. In no event shall an amendment to the Approved Budget result in payments in excess of the aggregate amount specified in Section 2.01 “Award of Monies” or in approved supplemental funding for the Project, if any. The RECIPIENT may make transfers between or among lines within budget categories without prior written approval provided that:

  • Contract Modification The conditions of this timber sale are completely set forth in this contract. Except as provided in B8.32 and B8.33, this contract can be modified only by written agreement between the parties. Only Contracting Officer may make contract modifications, with compensating adjustments to Current Contract Rates where appropriate, on behalf of Forest Service.

  • CENTRALIZED CONTRACT MODIFICATIONS A. OGS, an Authorized User, or the Contractor may suggest modifications to the Centralized Contract or its Appendices. Except as specifically provided herein, modifications to the terms and conditions set forth herein may only be made with mutual written agreement of the Parties. Modifications may take the form of an update or an amendment. “

  • INTEGRATION/MODIFICATION This Agreement constitutes the entire understanding and agreement between the Company and the Executive regarding its subject matter and supersedes all prior negotiations and agreements, whether oral or written, between them with respect to its subject matter. This Agreement may not be modified except by a written agreement signed by the Executive and a duly authorized officer of the Company.

  • Agreement Modifications Neither this Agreement nor the Protocol may be altered, amended or modified except by written document signed by the parties. 20.

  • OGS Centralized Contract Modifications OGS, an Authorized User, or the Contractor may suggest modifications to the Centralized Contract or its Appendices. Except as specifically provided herein, modifications to the terms and conditions set forth herein may only be made with mutual written agreement of the Parties. Modifications may take the form of an update or an amendment. “

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