Patients in stratum 1 receive doxorubicin IV over 96 hours on days 1-4, 15-19, and 29-32. Paclitaxel is infused over 96 hours on days 43-47 and 57-60. Filgrastim (G-CSF) is administered on days 5-10, 20-25, 33-38, 48-55, and 61-68, and beyond if the granulocyte count is less than 1000/mm^3. A modified radical mastectomy is performed between days 70 and 80. All stratum 1 and stratum 2 patients then receive paclitaxel IV for 96 hours on days 100-104, and cyclophosphamide IV on day 121. Filgrastim is administered at one dose on days 105-110 and days 122-127 and at a higher dose on days 110-116 and days 128-135. Stem cells are harvested from the patient on days 113-116 and days 132-135.