Study of HER2 Directed Dendritic Cell (DC1) Vaccine + Weekly Paclitaxel, Trastuzumab & Pertuzumab

Inclusion Criteria: * Participants must have histologically confirmed clinical stage I- III, HER2+ (per ASCO/CAP criteria) invasive carcinoma of the breast. Primary tumor should measure at least 1 cm by clinical exam or radiologic tests * Candidate for neoadjuvant chemotherapy with Paclitaxel, Trastuzumab, Pertuzumab regimen followed by standard of care local therapy as determined by the treating physician * Eastern Cooperative Oncology Group (ECOG) performance status 0 or 1 * Participants must have normal organ and marrow function as defined per protocol. * Cardiac ejection fraction within institutional normal limits by either Multigated Acquisition Scan (MUGA) or Echocardiogram at baseline. * Women of child-bearing potential and their male partners must agree to use adequate contraception (hormonal or barrier method of birth control; abstinence) prior to study entry and for the duration of study participation. Should a woman become pregnant or suspect she is pregnant while participating in this study, she should inform her treating physician immediately. Sexually active male participants should use a barrier method or exercise abstinence during chemotherapy administration until surgery. * Ability to understand and the willingness to sign a written informed consent document. Exclusion Criteria: * Participants with inflammatory breast cancer, widespread locally advanced unresectable disease involving the chest wall/nodal basins in which a curative surgical resection cannot be performed, or those in whom de novo metastatic disease is suspected or confirmed. * Patients may not be receiving any other investigational agents for the treatment of their breast cancer. * History of allergic reactions attributed to compounds of similar chemical or biologic composition to the study vaccine components and any of the chemotherapy drugs (paclitaxel, trastuzumab, pertuzumab). * Participants who are unwilling or unable to undergo an apheresis for production of their vaccine. * Uncontrolled intercurrent illness including, but not limited to, ongoing or active infection, symptomatic congestive heart failure, unstable angina pectoris, cardiac arrhythmia, or psychiatric illness/social situations that would limit compliance with study requirements. * Pregnant women and women who are breastfeeding. * Participants with known congenital or acquired immune deficiency (including those patients who require systemic immunosuppressant drugs for autoimmune disease or organ transplant).