However, if d is large, the runtime of the naive algorithm will require a lot of computations, and thus increase the runtime of the algorithm drastically. In this project, we implement the Karatsuba ...

This paper presents two improved modular multiplication algorithms: variable length Interleaved modular multiplication (VLIM) algorithm and parallel modular multiplication (P_MM) method using variable ...

Google DeepMind's AlphaEvolve AI system breaks a 56-year-old mathematical record by discovering a more efficient matrix multiplication algorithm that had eluded human mathematicians since Strassen ...

To try to solve this problem, Chicago Booth’s Rad Niazadeh and his coauthors designed a new hiring algorithm that incorporates fairness constraints, or guardrails to protect against discriminatory ...

The detailed algorithm flowchart is shown in Figure 4. The BP neural network model recognizes and classifies sensor faults, precisely locates faulty nodes and fault types, and then performs data ...

One year later, Winograd and Don Coppersmith introduced a new algorithm that beautifully complemented the laser method. This combination of tools has featured in virtually all subsequent efforts to ...

Back to Top Making Algorithms Add Up Although it is tempting to view algorithms through the filter of modern data science and computing, mathematicians have used matrix multiplication methods for ...

This vehicle is a second algorithm whose function is to create synthetic data similar to those used as the input for the first algorithm. The communication algorithm generates sample input data and ...